diff --git a/.github/workflows/manual_tests_CPU.yml b/.github/workflows/manual_tests_CPU.yml
index 20c4fb9..736e87c 100644
--- a/.github/workflows/manual_tests_CPU.yml
+++ b/.github/workflows/manual_tests_CPU.yml
@@ -25,18 +25,18 @@ jobs:
       with:
         miniforge-version: latest
         python-version: "3.10"
-    - name: pip install
-      run:  |
-        pip install wakis['notebook']
-        pip uninstall vtk -y
-        pip install --extra-index-url https://wheels.vtk.org vtk-osmesa
-
     - name: Print versions
       run: conda list
     - name: Checkout wakis
       uses: actions/checkout@v4
       with:
         path: wakis
+    - name: pip install
+      run:  |
+        cd wakis
+        pip install .[notebook,tests]
+        pip uninstall vtk -y
+        pip install --extra-index-url https://wheels.vtk.org vtk-osmesa
     - name: Run pytest
       run:  |
         cd wakis
diff --git a/.github/workflows/manual_tests_MPI.yml b/.github/workflows/manual_tests_MPI.yml
index f5abe98..e5f4d36 100644
--- a/.github/workflows/manual_tests_MPI.yml
+++ b/.github/workflows/manual_tests_MPI.yml
@@ -29,16 +29,16 @@ jobs:
       run: |
         conda install -c conda-forge openmpi
         conda install -c conda-forge mpi4py
-    - name: pip install
-      run:  |
-        pip install wakis['notebook']
-
     - name: Print versions
       run: conda list
     - name: Checkout wakis
       uses: actions/checkout@v4
       with:
         path: wakis
+    - name: pip install
+      run:  |
+        cd wakis
+        pip install .[notebook,tests]
     - name: Run pytest
       run:  |
         cd wakis
diff --git a/.github/workflows/nightly_codecov_CPU.yml b/.github/workflows/nightly_codecov_CPU.yml
index 8a295a6..b2eb781 100644
--- a/.github/workflows/nightly_codecov_CPU.yml
+++ b/.github/workflows/nightly_codecov_CPU.yml
@@ -24,16 +24,16 @@ jobs:
       with:
         miniforge-version: latest
         python-version: "3.10"
-    - name: pip install
-      run:  |
-        pip install wakis['notebook']
-        pip install pytest pytest-cov
     - name: Print versions
       run: conda list
     - name: Checkout wakis
       uses: actions/checkout@v4
       with:
         path: wakis
+    - name: pip install
+      run:  |
+        cd wakis
+        pip install .[notebook,tests]
     - name: Run pytest
       run:  |
         cd wakis
diff --git a/.github/workflows/nightly_tests_CPU.yml b/.github/workflows/nightly_tests_CPU.yml
index a39594d..7ce31f2 100644
--- a/.github/workflows/nightly_tests_CPU.yml
+++ b/.github/workflows/nightly_tests_CPU.yml
@@ -25,17 +25,18 @@ jobs:
       with:
         miniforge-version: latest
         python-version: "3.10"
-    - name: pip install
-      run:  |
-        pip install wakis['notebook']
-        pip uninstall vtk -y
-        pip install --extra-index-url https://wheels.vtk.org vtk-osmesa
     - name: Print versions
       run: conda list
     - name: Checkout wakis
       uses: actions/checkout@v4
       with:
         path: wakis
+    - name: pip install
+      run:  |
+        cd wakis
+        pip install .[notebook,tests]
+        pip uninstall vtk -y
+        pip install --extra-index-url https://wheels.vtk.org vtk-osmesa
     - name: Run pytest
       run:  |
         cd wakis
diff --git a/.github/workflows/pull_request_CPU.yml b/.github/workflows/pull_request_CPU.yml
index f361773..2017169 100644
--- a/.github/workflows/pull_request_CPU.yml
+++ b/.github/workflows/pull_request_CPU.yml
@@ -31,7 +31,7 @@ jobs:
       - name: Install wakis
         run: |
           cd wakis
-          pip install .['notebook']
+          pip install .[notebook,tests]
           pip uninstall vtk -y
           pip install --extra-index-url https://wheels.vtk.org vtk-osmesa
 
diff --git a/.github/workflows/pull_request_MPI.yml b/.github/workflows/pull_request_MPI.yml
index c0dede8..5cb34be 100644
--- a/.github/workflows/pull_request_MPI.yml
+++ b/.github/workflows/pull_request_MPI.yml
@@ -24,26 +24,25 @@ jobs:
 
     # Steps represent a sequence of tasks that will be executed as part of the job
     steps:
-    - name: Checkout repository
-      uses: actions/checkout@v4
-      with:
-        path: wakis
-    - name: Setup Miniforge
-      uses: conda-incubator/setup-miniconda@v2
-      with:
-        miniforge-version: latest
-        python-version: "3.11"
-    - name: mpi install
-      run: |
-        conda install -c conda-forge openmpi
-        conda install -c conda-forge mpi4py
-    - name: pip install
-      run:  |
-        cd wakis
-        pip install .['notebook']
-    - name: Print versions
-      run: conda list
-    - name: Run pytest
-      run:  |
-        cd wakis
-        mpiexec -n 2 python -m pytest --color=yes -v -s tests/test_007_mpi_lossy_cavity.py
+      - name: Checkout repository
+        uses: actions/checkout@v4
+        with:
+          path: wakis
+      - name: Setup Miniforge
+        uses: conda-incubator/setup-miniconda@v2
+        with:
+          miniforge-version: latest
+          python-version: "3.11"
+      - name: mpi install
+        run: |
+          conda install -c conda-forge openmpi mpi4py
+      - name: pip install
+        run: |
+          cd wakis
+          pip install .[notebook,tests]
+      - name: Print versions
+        run: conda list
+      - name: Run pytest
+        run: |
+          cd wakis
+          mpiexec -n 2 python -m pytest --color=yes -v -s tests/test_007_mpi_lossy_cavity.py
diff --git a/.gitignore b/.gitignore
index f0f746a..5583995 100644
--- a/.gitignore
+++ b/.gitignore
@@ -21,4 +21,16 @@ ECT_*
 *.PNG
 _build/
 dist/
-wakis.egg-info/
\ No newline at end of file
+wakis.egg-info/
+.venv
+.coverage
+coverage.xml
+*.pyc
+*.pyo
+*.pyd
+*.so
+.Python
+*.ipynb_checkpoints
+htmlcov/
+uv.lock
+build
\ No newline at end of file
diff --git a/MANIFEST.in b/MANIFEST.in
index 33576ac..346766b 100644
--- a/MANIFEST.in
+++ b/MANIFEST.in
@@ -4,7 +4,4 @@ include pyproject.toml
 include *.md
 
 # Include the license file
-include LICENSE.txt
-
-# Include requirements
-include requirements.txt
\ No newline at end of file
+include LICENSE
diff --git a/Makefile b/Makefile
new file mode 100644
index 0000000..42a7e60
--- /dev/null
+++ b/Makefile
@@ -0,0 +1,52 @@
+# wakis Makefile
+
+
+# Colors for output
+RED := \033[0;31m
+GREEN := \033[0;32m
+YELLOW := \033[1;33m
+NC := \033[0m # No Color
+
+.PHONY: help install install-gpu clean docs
+
+# Based on https://gist.github.com/prwhite/8168133?permalink_comment_id=4718682#gistcomment-4718682
+
+## (Default) Print listing of key targets with their descriptions
+help:
+	@printf "\n\033[1;33mwakis Makefile\033[0m\n"
+	@printf "\n\033[1;34mUsage:\033[0m \033[1;33mmake <target>\033[0m\n\n"
+	@awk '\
+		/^## / { \
+			desc = substr($$0, 4); \
+			getline nextline; \
+			if (match(nextline, /^([a-zA-Z0-9._-]+):/)) { \
+				target = substr(nextline, RSTART, RLENGTH-1); \
+				printf "  \033[34m%-20s\033[0m %s\n", target, desc; \
+			} \
+		} \
+	' $(MAKEFILE_LIST)
+
+## Install Python dependencies
+install:
+	@echo -e "Installing Python dependencies..."
+	@pip install -e  .[full]
+
+## Install Python dependencies
+install-gpu:
+	@echo -e "Installing Python dependencies with GPU support..."
+	@pip install -e  .[full-gpu]
+
+## Remove temporary and generated files
+clean:
+	@echo -e "Cleaning up directory..."
+	@rm -rf __pycache__ .ruff_cache .pytest_cache *.egg-info .html *.html coverage.xml .coverage .mypy_cache results
+	@ cd docs && make -s clean
+
+
+## Run Python tests
+test:
+	pytest -s
+
+## Build documentation
+docs:
+	cd docs && make html
diff --git a/README.md b/README.md
index 8fba629..a6e302a 100644
--- a/README.md
+++ b/README.md
@@ -99,8 +99,7 @@ Create a dedicated **conda environment** and install dependencies:
 cd wakis/
 conda create --name wakis-env python=3.11
 conda activate wakis-env
-pip install -r requirements.txt
-pip install -e .  # install wakis in editable mode
+pip install -e .[notebook, tests, docs]  # install wakis in editable mode
 pip install neffint iddefix bihc  # Optional tools
 ```
 🛠️ **Want to contribute?**  To merge your changes into `main`, create a **Pull Request (PR)** following our [PR template](https://github.com/ImpedanCEI/wakis/blob/main/.github/pull_request_template.md).
diff --git a/docs/conf.py b/docs/conf.py
index 9097da8..93cef14 100644
--- a/docs/conf.py
+++ b/docs/conf.py
@@ -10,71 +10,74 @@
 # add these directories to sys.path here. If the directory is relative to the
 # documentation root, use os.path.abspath to make it absolute, like shown here.
 #
-import sys, os
-sys.path.insert(0, os.path.abspath('../../wakis/'))
-#sys.path.insert(0, os.path.abspath("../wakis"))
+import sys
+import os
+
+sys.path.insert(0, os.path.abspath("../../wakis/"))
+# sys.path.insert(0, os.path.abspath("../wakis"))
 sys.path.insert(0, os.path.abspath("../"))
-sys.path.append(os.path.abspath('..'))
+sys.path.append(os.path.abspath(".."))
 
 # -- Project information -----------------------------------------------------
 
-project = 'wakis'
-copyright = '2024, CERN, BE-ABP-CEI'
-author = 'Elena de la Fuente, Lorenzo Giacomel, Giovanni Iadarola, Carlo Zannini'
+project = "wakis"
+copyright = "2024, CERN, BE-ABP-CEI"
+author = "Elena de la Fuente, Lorenzo Giacomel, Giovanni Iadarola, Carlo Zannini"
 
 # The full version, including alpha/beta/rc tags
-release = '1.0'
+release = "1.0"
 
 # -- General configuration ---------------------------------------------------
 
 # Add any Sphinx extension module names here, as strings. They can be
 # extensions coming with Sphinx (named 'sphinx.ext.*') or your custom
 # ones.
-extensions = ['sphinx.ext.autodoc',
-              'sphinx.ext.autosummary',
-              'sphinx.ext.doctest',
-              'sphinx.ext.extlinks',
-              'sphinx.ext.intersphinx',
-              'sphinx.ext.mathjax', #for eqs
-              'sphinx.ext.napoleon', 
-              'sphinx.ext.todo',
-              'sphinx.ext.viewcode',
-              'sphinx.ext.githubpages',
-              'sphinx_copybutton',
-              #'sphinxemoji',
-              'myst_parser', #for markdown
-              'sphinx_design',
-              'sphinx_last_updated_by_git', 
-] 
-
-autodoc_preserve_defaults = True #preserves default args as in source code
+extensions = [
+    "sphinx.ext.autodoc",
+    "sphinx.ext.autosummary",
+    "sphinx.ext.doctest",
+    "sphinx.ext.extlinks",
+    "sphinx.ext.intersphinx",
+    "sphinx.ext.mathjax",  # for eqs
+    "sphinx.ext.napoleon",
+    "sphinx.ext.todo",
+    "sphinx.ext.viewcode",
+    "sphinx.ext.githubpages",
+    "sphinx_copybutton",
+    #'sphinxemoji',
+    "myst_parser",  # for markdown
+    "sphinx_design",
+    "sphinx_last_updated_by_git",
+]
+
+autodoc_preserve_defaults = True  # preserves default args as in source code
 
 # Add any paths that contain templates here, relative to this directory.
-templates_path = ['_templates']
-myst_enable_extensions = ["dollarmath","html_admonition", "colon_fence"]
-#myst_enable_extensions = ["deflist", "dollarmath"]
+templates_path = ["_templates"]
+myst_enable_extensions = ["dollarmath", "html_admonition", "colon_fence"]
+# myst_enable_extensions = ["deflist", "dollarmath"]
 
 # The suffix of source filenames.
 
 source_suffix = {
-    '.rst': 'restructuredtext',
-    '.md': 'markdown',
+    ".rst": "restructuredtext",
+    ".md": "markdown",
 }
 
 # List of patterns, relative to source directory, that match files and
 # directories to ignore when looking for source files.
 # This pattern also affects html_static_path and html_extra_path.
-exclude_patterns = ['_build', 'Thumbs.db', '.DS_Store']
+exclude_patterns = ["_build", "Thumbs.db", ".DS_Store"]
 
 # The master toctree document.
-master_doc = 'index'
+master_doc = "index"
 
 # General information about the project.
-#project = u'wakis'
-#copyright = u'2024, CERN, BE-ABP-CEI'
+# project = u'wakis'
+# copyright = u'2024, CERN, BE-ABP-CEI'
 
 # The name of the Pygments (syntax highlighting) style to use.
-pygments_style = 'sphinx'
+pygments_style = "sphinx"
 
 
 # -- Options for HTML output -------------------------------------------------
@@ -82,15 +85,15 @@
 # The theme to use for HTML and HTML Help pages.  See the documentation for
 # a list of builtin themes.
 #
-html_theme = 'sphinx_rtd_theme'
-html_static_path = ['img']
+html_theme = "sphinx_rtd_theme"
+html_static_path = ["img"]
 html_logo = "img/wakis-logo-pinkwhite.png"
 html_theme_options = {
-    'logo_only': True,
-    'home_page_in_toc': True,
-    'display_version': False,
-    'collapse_navigation': False,
-    'navigation_depth': 1,
+    "logo_only": True,
+    "home_page_in_toc": True,
+    "display_version": False,
+    "collapse_navigation": False,
+    "navigation_depth": 1,
 }
 
 # Add any paths that contain custom static files (such as style sheets) here,
@@ -99,50 +102,48 @@
 # html_static_path = ['_static']
 
 # Output file base name for HTML help builder.
-htmlhelp_basename = 'ReadtheDocsTemplatedoc'
+htmlhelp_basename = "ReadtheDocsTemplatedoc"
 
 
 # -- Options for LaTeX output ---------------------------------------------
 
 latex_elements = {
-# The paper size ('letterpaper' or 'a4paper').
-#'papersize': 'letterpaper',
-
-# The font size ('10pt', '11pt' or '12pt').
-#'pointsize': '10pt',
-
-# Additional stuff for the LaTeX preamble.
-#'preamble': '',
+    # The paper size ('letterpaper' or 'a4paper').
+    #'papersize': 'letterpaper',
+    # The font size ('10pt', '11pt' or '12pt').
+    #'pointsize': '10pt',
+    # Additional stuff for the LaTeX preamble.
+    #'preamble': '',
 }
 
 # Grouping the document tree into LaTeX files. List of tuples
 # (source start file, target name, title,
 #  author, documentclass [howto, manual, or own class]).
-'''
+"""
 latex_documents = [
   ('index', 'ReadtheDocsTemplate.tex', u'Read the Docs Template Documentation',
    u'Read the Docs', 'manual'),
 ]
-'''
+"""
 # The name of an image file (relative to this directory) to place at the top of
 # the title page.
-#latex_logo = None
+# latex_logo = None
 
 # For "manual" documents, if this is true, then toplevel headings are parts,
 # not chapters.
-#latex_use_parts = False
+# latex_use_parts = False
 
 # If true, show page references after internal links.
-#latex_show_pagerefs = False
+# latex_show_pagerefs = False
 
 # If true, show URL addresses after external links.
-#latex_show_urls = False
+# latex_show_urls = False
 
 # Documents to append as an appendix to all manuals.
-#latex_appendices = []
+# latex_appendices = []
 
 # If false, no module index is generated.
-#latex_domain_indices = True
+# latex_domain_indices = True
 
 
 # -- Options for Texinfo output -------------------------------------------
@@ -150,24 +151,24 @@
 # Grouping the document tree into Texinfo files. List of tuples
 # (source start file, target name, title, author,
 #  dir menu entry, description, category)
-'''
+"""
 texinfo_documents = [
   ('index', 'ReadtheDocsTemplate', u'Read the Docs Template Documentation',
    u'Read the Docs', 'ReadtheDocsTemplate', 'One line description of project.',
    'Miscellaneous'),
 ]
-'''
+"""
 # Documents to append as an appendix to all manuals.
-#texinfo_appendices = []
+# texinfo_appendices = []
 
 # If false, no module index is generated.
-#texinfo_domain_indices = True
+# texinfo_domain_indices = True
 
 # How to display URL addresses: 'footnote', 'no', or 'inline'.
-#texinfo_show_urls = 'footnote'
+# texinfo_show_urls = 'footnote'
 
 # If true, do not generate a @detailmenu in the "Top" node's menu.
-#texinfo_no_detailmenu = False
+# texinfo_no_detailmenu = False
 
 
-# -- Extension configuration -------------------------------------------------
\ No newline at end of file
+# -- Extension configuration -------------------------------------------------
diff --git a/docs/installation.md b/docs/installation.md
index 1dcfd2c..07bf8df 100644
--- a/docs/installation.md
+++ b/docs/installation.md
@@ -2,7 +2,7 @@
 
 This section covers how to install `wakis` package for developers and users. 
 
-The installation guide is writen for Linux, but `wakis` code and dependencies are 100% python so it can run in other operating systems. For developers using Windows, we recommend checking the [WSL setup guide](https://learn.microsoft.com/en-us/windows/wsl/install) to install and setup the Windows subsystem for linux.
+The installation guide is written for Linux, but `wakis` code and dependencies are 100% python, so it can run in other operating systems. For developers using Windows, we recommend checking the [WSL setup guide](https://learn.microsoft.com/en-us/windows/wsl/install) to install and set up the Windows subsystem for linux.
 
 ```{contents} 
 :depth: 3
@@ -29,19 +29,34 @@ git clone git@github.com:ImpedanCEI/wakis.git
 git clone https://github.com/ImpedanCEI/wakis.git
 ```
 
-On a previously created conda environment, one can proceed installing the dependencies. On  `wakis` main directory do:
+On a previously created conda environment, one can proceed installing the dependencies. On `wakis` main directory do:
 ```
-pip install -r requirements.txt
+pip install .[full] 
 ```
 
-You can also pip install wakis on editable mode [RECOMMENDED]:
+You may also want to install the GPU dependencies, see [GPU setup](#gpu-setup):
+
+
+```
+pip install .[full-gpu] 
+```
+
+
+
+
+You can also pip install wakis in editable mode [RECOMMENDED]:
 ```
 git clone git@github.com:ImpedanCEI/wakis.git
 cd wakis
-pip install -e .
+pip install -e .[full]
+```
+
+To use the GPU setup run:
+```
+pip install -e .[full-gpu]
 ```
 
-If you would like to improve and push changes to `wakis`, we encorage to create a [fork](https://github.com/ImpedanCEI/wakis/fork) from wakis' `main` branch: https://github.com/ImpedanCEI/wakis on your personal GitHub. 
+If you would like to improve and push changes to `wakis`, we encourage to create a [fork](https://github.com/ImpedanCEI/wakis/fork) from wakis' `main` branch: https://github.com/ImpedanCEI/wakis on your personal GitHub. 
 
 To contribute, first fork the repository, create a new branch, and submit a pull request. Step-by-step:
 
@@ -55,7 +70,7 @@ To contribute, first fork the repository, create a new branch, and submit a pull
 
 ## Dependencies
 
-`wakis` is a 100% pyhton code that relies only on a few renowed python packages:
+`wakis` is a 100% pyhton code that relies only on a few renowned python packages:
 
 * `numpy`: Used for numerical operations, especially for matrix operations.
 * `scipy`: Provides additional functionality for sparse matrices and other scientific computations.
@@ -64,15 +79,15 @@ To contribute, first fork the repository, create a new branch, and submit a pull
 * `tqdm`: This package is used for displaying progress bars in loops.
 * `pyvista`: For handling and visualizing 3D CAD geometries and vtk-based 3D plotting.
 
-To install only the dependencies in a conda python environment, simply run:
+To install wakis and the dependencies in a conda python environment, simply run:
 
 ```
-pip install -r requirements.txt
+pip install -e .[]
 ```
 
 ## Python installation
 
-If a python installation has not been setup yet, we recommend using [miniforge](https://conda-forge.org/download/) (free of license) or [miniconda](https://docs.anaconda.com/free/miniconda/index.html) [^2]. 
+If a python installation has not been setup yet, we recommend using [miniforge](https://conda-forge.org/download/) (free of licence) or [miniconda](https://docs.anaconda.com/free/miniconda/index.html) [^2]. 
 
 Miniforge executable can be obtained from the website (Windows/Linux) [https://conda-forge.org/download/](https://conda-forge.org/download/), or from the terminal (Linux):
 
diff --git a/docs/requirements.txt b/docs/requirements.txt
deleted file mode 100644
index 8e187b5..0000000
--- a/docs/requirements.txt
+++ /dev/null
@@ -1,13 +0,0 @@
-sphinx==5.0.0
-sphinx_rtd_theme==1.0.0
-readthedocs-sphinx-search==0.1.1
-sphinx-copybutton
-myst-parser>=0.18.1
-sphinx-design
-numpy>=1.21.0
-scipy>=1.7.0
-matplotlib>=3.4.0
-pyvista>=0.32.0
-h5py>=3.6.0
-tqdm>=4.62.0
-sphinx-last-updated-by-git
\ No newline at end of file
diff --git a/examples/001_CPU_wakefield_simulation.py b/examples/001_CPU_wakefield_simulation.py
index 9d8c391..b7c01bf 100644
--- a/examples/001_CPU_wakefield_simulation.py
+++ b/examples/001_CPU_wakefield_simulation.py
@@ -5,29 +5,32 @@
 
 # (!) If using MKL intel backend only
 import os
-os.environ["MKL_NUM_THREADS"] = "1" # change the number of threads to be used in the simualtion
+
+os.environ["MKL_NUM_THREADS"] = (
+    "1"  # change the number of threads to be used in the simualtion
+)
 
 import numpy as np
 import pyvista as pv
 import matplotlib.pyplot as plt
 
 from wakis import SolverFIT3D
-from wakis import GridFIT3D 
+from wakis import GridFIT3D
 from wakis import WakeSolver
+from matplotlib.colors import LinearSegmentedColormap
 
 # ---------- Domain setup ---------
 
 # Geometry & Materials
-solid_1 = 'data/001_vacuum_cavity.stl'
-solid_2 = 'data/001_lossymetal_shell.stl'
+solid_1 = "data/001_vacuum_cavity.stl"
+solid_2 = "data/001_lossymetal_shell.stl"
 
-stl_solids = {'cavity': solid_1, 
-              'shell': solid_2
-              }
+stl_solids = {"cavity": solid_1, "shell": solid_2}
 
-stl_materials = {'cavity': 'vacuum', 
-                 'shell': [30, 1.0, 30] #[eps_r, mu_r, sigma[S/m]]
-                 }
+stl_materials = {
+    "cavity": "vacuum",
+    "shell": [30, 1.0, 30],  # [eps_r, mu_r, sigma[S/m]]
+}
 
 # BONUS: Visualize geometry - Uncomment for plotting!
 # pl = pv.Plotter()
@@ -46,72 +49,93 @@
 Nz = 141
 
 # set grid and geometry
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, 
-                Nx, Ny, Nz, 
-                stl_solids=stl_solids, 
-                stl_materials=stl_materials,
-                stl_scale=1.0,
-                stl_rotate=[0,0,0],
-                stl_translate=[0,0,0],
-                verbose=1)
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_materials=stl_materials,
+    stl_scale=1.0,
+    stl_rotate=[0, 0, 0],
+    stl_translate=[0, 0, 0],
+    verbose=1,
+)
 
 # BONUS: Visualize grid - Uncomment for plotting!
-grid.inspect(add_stl=['cavity', 'shell'], stl_opacity=1.0)
+grid.inspect(add_stl=["cavity", "shell"], stl_opacity=1.0)
 
 # BONUS: Visualize imported solids - Uncomment for plotting!
 grid.plot_solids(bounding_box=True, opacity=1.0, specular=0.5, anti_aliasing=None)
 
 # ------------ Beam source & Wake ----------------
 # Beam parameters
-sigmaz = 10e-2      #[m] -> 2 GHz
-q = 1e-9            #[C]
-beta = 1.0          # beam beta 
-xs = 0.             # x source position [m]
-ys = 0.             # y source position [m]
-xt = 0.             # x test position [m]
-yt = 0.             # y test position [m]
-# [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s] 
+sigmaz = 10e-2  # [m] -> 2 GHz
+q = 1e-9  # [C]
+beta = 1.0  # beam beta
+xs = 0.0  # x source position [m]
+ys = 0.0  # y source position [m]
+xt = 0.0  # x test position [m]
+yt = 0.0  # y test position [m]
+# [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]
 
 # Simualtion
-wakelength = 10. # [m]
-add_space = 10   # no. cells to skip from boundaries - removes BC artifacts
-
-results_folder = '001_results_float64/'
-wake = WakeSolver(q=q, 
-                  sigmaz=sigmaz, 
-                  beta=beta,
-                  xsource=xs, ysource=ys, 
-                  xtest=xt, ytest=yt,
-                  add_space=add_space, 
-                  results_folder=results_folder,
-                  Ez_file=results_folder+'001_Ez.h5')
+wakelength = 10.0  # [m]
+add_space = 10  # no. cells to skip from boundaries - removes BC artifacts
+
+results_folder = "001_results_float64/"
+wake = WakeSolver(
+    q=q,
+    sigmaz=sigmaz,
+    beta=beta,
+    xsource=xs,
+    ysource=ys,
+    xtest=xt,
+    ytest=yt,
+    add_space=add_space,
+    results_folder=results_folder,
+    Ez_file=results_folder + "001_Ez.h5",
+)
 
 # ----------- Solver & Simulation ----------
 # boundary conditions``
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
 # on-the-fly plotting parameters
-if not os.path.exists('001_img/'): 
-    os.mkdir('001_img/')
-
-plotkw2D = {'title':'001_img/Ez', 
-            'add_patch':'cavity', 'patch_alpha':1.0,
-            'patch_reverse' : True,  # patch logical_not('cavity')
-            'vmin':-1e3, 'vmax':1e3, # colormap limits
-            'cmap': 'rainbow',
-            'plane': [int(Nx/2),                       # x
-                      slice(0, Ny),                    # y
-                      slice(add_space, -add_space)]}   # z
+if not os.path.exists("001_img/"):
+    os.mkdir("001_img/")
+
+plotkw2D = {
+    "title": "001_img/Ez",
+    "add_patch": "cavity",
+    "patch_alpha": 1.0,
+    "patch_reverse": True,  # patch logical_not('cavity')
+    "vmin": -1e3,
+    "vmax": 1e3,  # colormap limits
+    "cmap": "rainbow",
+    "plane": [
+        int(Nx / 2),  # x
+        slice(0, Ny),  # y
+        slice(add_space, -add_space),
+    ],
+}  # z
 
 # Solver setup
-solver = SolverFIT3D(grid, wake, 
-                     bc_low=bc_low, 
-                     bc_high=bc_high, 
-                     use_stl=True, 
-                     bg='pec', # Background material
-                     dtype=np.float64, # support for single-precision np.float32
-                     )
+solver = SolverFIT3D(
+    grid,
+    wake,
+    bc_low=bc_low,
+    bc_high=bc_high,
+    use_stl=True,
+    bg="pec",  # Background material
+    dtype=np.float64,  # support for single-precision np.float32
+)
 
 # BONUS: Inspect material tensors - Uncomment to show!
 # solver.ieps.inspect(plane='YZ', cmap='bwr', dpi=100)  # [1/eps] permittivity tensor ^-1
@@ -125,80 +149,102 @@
 # solver.J[:,10,10, 'x'] = 10    # introduces a line perturbation in Jx component of 10 A/m2
 
 # Solver run
-solver.wakesolve(wakelength=wakelength, 
-                 add_space=add_space,
-                 plot=True, # turn False for speedup
-                 plot_every=30, plot_until=3000, **plotkw2D
-                 )
+solver.wakesolve(
+    wakelength=wakelength,
+    add_space=add_space,
+    plot=True,  # turn False for speedup
+    plot_every=30,
+    plot_until=3000,
+    **plotkw2D,
+)
 
 # ----------- 1d plot results --------------------
 # Plot longitudinal wake potential and impedance
-fig1, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-ax[0].plot(wake.s*1e2, wake.WP, c='r', lw=1.5, label='Wakis')
-ax[0].set_xlabel('s [cm]')
-ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='r')
+fig1, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+ax[0].plot(wake.s * 1e2, wake.WP, c="r", lw=1.5, label="Wakis")
+ax[0].set_xlabel("s [cm]")
+ax[0].set_ylabel("Longitudinal wake potential [V/pC]", color="r")
 ax[0].legend()
-ax[0].set_xlim(xmax=wakelength*1e2)
+ax[0].set_xlim(xmax=wakelength * 1e2)
 
-ax[1].plot(wake.f*1e-9, np.abs(wake.Z), c='b', lw=1.5, label='Wakis')
-ax[1].set_xlabel('f [GHz]')
-ax[1].set_ylabel('Longitudinal impedance [Abs][$\Omega$]', color='b')
+ax[1].plot(wake.f * 1e-9, np.abs(wake.Z), c="b", lw=1.5, label="Wakis")
+ax[1].set_xlabel("f [GHz]")
+ax[1].set_ylabel("Longitudinal impedance [Abs][$\Omega$]", color="b")
 ax[1].legend()
 
 fig1.tight_layout()
-fig1.savefig(results_folder+'001_longitudinal.png')
+fig1.savefig(results_folder + "001_longitudinal.png")
 plt.show()
 
 # Plot transverse x wake potential and impedance
-fig2, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-ax[0].plot(wake.s*1e2, wake.WPx, c='r', lw=1.5, label='Wakis')
-ax[0].set_xlabel('s [cm]')
-ax[0].set_ylabel('Transverse wake potential X [V/pC]', color='r')
+fig2, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+ax[0].plot(wake.s * 1e2, wake.WPx, c="r", lw=1.5, label="Wakis")
+ax[0].set_xlabel("s [cm]")
+ax[0].set_ylabel("Transverse wake potential X [V/pC]", color="r")
 ax[0].legend()
-ax[0].set_xlim(xmax=wakelength*1e2)
+ax[0].set_xlim(xmax=wakelength * 1e2)
 
-ax[1].plot(wake.f*1e-9, np.abs(wake.Zx), c='b', lw=1.5, label='Wakis')
-ax[1].set_xlabel('f [GHz]')
-ax[1].set_ylabel('Transverse impedance X [Abs][$\Omega$]', color='b')
+ax[1].plot(wake.f * 1e-9, np.abs(wake.Zx), c="b", lw=1.5, label="Wakis")
+ax[1].set_xlabel("f [GHz]")
+ax[1].set_ylabel("Transverse impedance X [Abs][$\Omega$]", color="b")
 ax[1].legend()
 
 fig2.tight_layout()
-fig2.savefig(results_folder+'001_transverse_x.png')
+fig2.savefig(results_folder + "001_transverse_x.png")
 plt.show()
 
 # Plot transverse y wake potential and impedance
-fig3, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-ax[0].plot(wake.s*1e2, wake.WPy, c='r', lw=1.5, label='Wakis')
-ax[0].set_xlabel('s [cm]')
-ax[0].set_ylabel('Transverse wake potential Y [V/pC]', color='r')
+fig3, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+ax[0].plot(wake.s * 1e2, wake.WPy, c="r", lw=1.5, label="Wakis")
+ax[0].set_xlabel("s [cm]")
+ax[0].set_ylabel("Transverse wake potential Y [V/pC]", color="r")
 ax[0].legend()
-ax[0].set_xlim(xmax=wakelength*1e2)
+ax[0].set_xlim(xmax=wakelength * 1e2)
 
-ax[1].plot(wake.f*1e-9, np.abs(wake.Zy), c='b', lw=1.5, label='Wakis')
-ax[1].set_xlabel('f [GHz]')
-ax[1].set_ylabel('Transverse impedance Y [Abs][$\Omega$]', color='b')
+ax[1].plot(wake.f * 1e-9, np.abs(wake.Zy), c="b", lw=1.5, label="Wakis")
+ax[1].set_xlabel("f [GHz]")
+ax[1].set_ylabel("Transverse impedance Y [Abs][$\Omega$]", color="b")
 ax[1].legend()
 
 fig3.tight_layout()
-fig3.savefig(results_folder+'001_transverse_y.png')
+fig3.savefig(results_folder + "001_transverse_y.png")
 plt.show()
 
 # Plot Electric field component in 2D using imshow
-solver.plot1D(field='E', component='z', 
-              line='z', pos=0.5, xscale='linear', yscale='linear',
-              off_screen=True, title='001_img/Ez1d')
+solver.plot1D(
+    field="E",
+    component="z",
+    line="z",
+    pos=0.5,
+    xscale="linear",
+    yscale="linear",
+    off_screen=True,
+    title="001_img/Ez1d",
+)
 plt.show()
 
 # ----------- 2d plots results --------------------
-from matplotlib.colors import LinearSegmentedColormap
-cmap = LinearSegmentedColormap.from_list('name', plt.cm.jet(np.linspace(0.1, 0.9))) # CST's colormap
+
+cmap = LinearSegmentedColormap.from_list(
+    "name", plt.cm.jet(np.linspace(0.1, 0.9))
+)  # CST's colormap
 
 # Plot Electric field component in 2D using imshow
-solver.plot2D(field='E', component='z', 
-              plane='XY', pos=0.5, 
-              cmap=cmap, vmin=-500, vmax=500., interpolation='hanning',
-              add_patch='cavity', patch_reverse=True, patch_alpha=0.8, 
-              off_screen=True, title='001_img/Ez2d')
+solver.plot2D(
+    field="E",
+    component="z",
+    plane="XY",
+    pos=0.5,
+    cmap=cmap,
+    vmin=-500,
+    vmax=500.0,
+    interpolation="hanning",
+    add_patch="cavity",
+    patch_reverse=True,
+    patch_alpha=0.8,
+    off_screen=True,
+    title="001_img/Ez2d",
+)
 plt.show()
 
 
@@ -208,16 +254,30 @@
 
 # ----------- 3d plots results --------------------
 # Plot Electric field component in 3D using pyvista.plotter
-solver.plot3D('E', component='Abs', 
-              cmap='rainbow', clim=[0, 500],
-              add_stl=['cavity', 'shell'], stl_opacity=0.1,
-              clip_interactive=True, clip_normal='-y')
+solver.plot3D(
+    "E",
+    component="Abs",
+    cmap="rainbow",
+    clim=[0, 500],
+    add_stl=["cavity", "shell"],
+    stl_opacity=0.1,
+    clip_interactive=True,
+    clip_normal="-y",
+)
 
 # Plot Abs Electric field on STL solid `cavity`
-solver.plot3DonSTL('E', component='Abs', 
-                   cmap='rainbow', clim=[0, 500],
-                   stl_with_field='cavity', field_opacity=1.0,
-                   stl_transparent='shell', stl_opacity=0.1, stl_colors='white',
-                   #clip_plane=True, clip_normal='-y', clip_origin=[0,0,0], #coming in v0.5.0
-                   off_screen=False, zoom=1.2, title='001_img/Ez3d')
-        
\ No newline at end of file
+solver.plot3DonSTL(
+    "E",
+    component="Abs",
+    cmap="rainbow",
+    clim=[0, 500],
+    stl_with_field="cavity",
+    field_opacity=1.0,
+    stl_transparent="shell",
+    stl_opacity=0.1,
+    stl_colors="white",
+    # clip_plane=True, clip_normal='-y', clip_origin=[0,0,0], #coming in v0.5.0
+    off_screen=False,
+    zoom=1.2,
+    title="001_img/Ez3d",
+)
diff --git a/examples/002_GPU_wakefield_simulation.py b/examples/002_GPU_wakefield_simulation.py
index fd083fb..ec6bd93 100644
--- a/examples/002_GPU_wakefield_simulation.py
+++ b/examples/002_GPU_wakefield_simulation.py
@@ -9,22 +9,22 @@
 import matplotlib.pyplot as plt
 
 from wakis import SolverFIT3D
-from wakis import GridFIT3D 
+from wakis import GridFIT3D
 from wakis import WakeSolver
+from matplotlib.colors import LinearSegmentedColormap
 
 # ---------- Domain setup ---------
 
 # Geometry & Materials
-solid_1 = 'data/001_vacuum_cavity.stl'
-solid_2 = 'data/001_lossymetal_shell.stl'
+solid_1 = "data/001_vacuum_cavity.stl"
+solid_2 = "data/001_lossymetal_shell.stl"
 
-stl_solids = {'cavity': solid_1, 
-              'shell': solid_2
-              }
+stl_solids = {"cavity": solid_1, "shell": solid_2}
 
-stl_materials = {'cavity': 'vacuum', 
-                 'shell': [30, 1.0, 30] #[eps_r, mu_r, sigma[S/m]]
-                 }
+stl_materials = {
+    "cavity": "vacuum",
+    "shell": [30, 1.0, 30],  # [eps_r, mu_r, sigma[S/m]]
+}
 
 # BONUS: Visualize geomEtry - Uncomment for plotting!
 # pl = pv.Plotter()
@@ -43,14 +43,23 @@
 Nz = 141
 
 # set grid and geometry
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, 
-                Nx, Ny, Nz, 
-                stl_solids=stl_solids, 
-                stl_materials=stl_materials,
-                stl_scale=1.0,
-                stl_rotate=[0,0,0],
-                stl_translate=[0,0,0],
-                verbose=1)
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_materials=stl_materials,
+    stl_scale=1.0,
+    stl_rotate=[0, 0, 0],
+    stl_translate=[0, 0, 0],
+    verbose=1,
+)
 
 # BONUS: Visualize grid - Uncomment for plotting!
 # grid.inspect(add_stl=[solid_1, solid_2],
@@ -59,54 +68,66 @@
 
 # ------------ Beam source & Wake ----------------
 # Beam parameters
-sigmaz = 10e-2      #[m] -> 2 GHz
-q = 1e-9            #[C]
-beta = 1.0          # beam beta 
-xs = 0.             # x source position [m]
-ys = 0.             # y source position [m]
-xt = 0.             # x test position [m]
-yt = 0.             # y test position [m]
-# [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s] 
+sigmaz = 10e-2  # [m] -> 2 GHz
+q = 1e-9  # [C]
+beta = 1.0  # beam beta
+xs = 0.0  # x source position [m]
+ys = 0.0  # y source position [m]
+xt = 0.0  # x test position [m]
+yt = 0.0  # y test position [m]
+# [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]
 
 # Simualtion
-wakelength = 10. # [m]
-add_space = 10   # no. cells to skip from boundaries - removes BC artifacts
-
-wake = WakeSolver(q=q, 
-                  sigmaz=sigmaz, 
-                  beta=beta,
-                  xsource=xs, ysource=ys, 
-                  xtest=xt, ytest=yt,
-                  add_space=add_space, 
-                  results_folder='002_results/',
-                  Ez_file='002_results/002_Ez.h5')
+wakelength = 10.0  # [m]
+add_space = 10  # no. cells to skip from boundaries - removes BC artifacts
+
+wake = WakeSolver(
+    q=q,
+    sigmaz=sigmaz,
+    beta=beta,
+    xsource=xs,
+    ysource=ys,
+    xtest=xt,
+    ytest=yt,
+    add_space=add_space,
+    results_folder="002_results/",
+    Ez_file="002_results/002_Ez.h5",
+)
 
 # ----------- Solver & Simulation ----------
 # boundary conditions``
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
 # on-the-fly plotting parameters
-if not os.path.exists('002_img/'): 
-    os.mkdir('002_img/')
-
-plotkw2D = {'title':'002_img/Ez', 
-            'add_patch':'cavity', 'patch_alpha':1.0,
-            'patch_reverse' : True,  # patch logical_not('cavity')
-            'vmin':-1e3, 'vmax':1e3, # colormap limits
-            'cmap': 'rainbow',
-            'plane': [int(Nx/2),                       # x
-                      slice(0, Ny),                    # y
-                      slice(add_space, -add_space)]}   # z
+if not os.path.exists("002_img/"):
+    os.mkdir("002_img/")
+
+plotkw2D = {
+    "title": "002_img/Ez",
+    "add_patch": "cavity",
+    "patch_alpha": 1.0,
+    "patch_reverse": True,  # patch logical_not('cavity')
+    "vmin": -1e3,
+    "vmax": 1e3,  # colormap limits
+    "cmap": "rainbow",
+    "plane": [
+        int(Nx / 2),  # x
+        slice(0, Ny),  # y
+        slice(add_space, -add_space),
+    ],
+}  # z
 
 # Solver setup
-solver = SolverFIT3D(grid, wake, 
-                     bc_low=bc_low, 
-                     bc_high=bc_high, 
-                     use_stl=True, 
-                     bg='pec', # Background material
-                     use_gpu=True,  #Turn on GPU acceleration!
-                     )
+solver = SolverFIT3D(
+    grid,
+    wake,
+    bc_low=bc_low,
+    bc_high=bc_high,
+    use_stl=True,
+    bg="pec",  # Background material
+    use_gpu=True,  # Turn on GPU acceleration!
+)
 
 # BONUS: Inspect material tensors - Uncomment to show!
 # solver.ieps.inspect(plane='YZ', cmap='bwr', dpi=100)  # [1/eps] permittivity tensor ^-1
@@ -120,85 +141,105 @@
 # solver.J[:,10,10, 'x'] = 10    # introduces a line perturbation in Jx component of 10 A/m2
 
 # Solver run
-solver.wakesolve(wakelength=wakelength, 
-                 add_space=add_space,
-                 plot=False, # turn False for speedup
-                 plot_every=30, plot_until=3000, **plotkw2D
-                 )
+solver.wakesolve(
+    wakelength=wakelength,
+    add_space=add_space,
+    plot=False,  # turn False for speedup
+    plot_every=30,
+    plot_until=3000,
+    **plotkw2D,
+)
 
 # ----------- 1d plot results --------------------
 # Plot longitudinal wake potential and impedance
-fig1, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-ax[0].plot(wake.s*1e2, wake.WP, c='r', lw=1.5, label='Wakis')
-ax[0].set_xlabel('s [cm]')
-ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='r')
+fig1, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+ax[0].plot(wake.s * 1e2, wake.WP, c="r", lw=1.5, label="Wakis")
+ax[0].set_xlabel("s [cm]")
+ax[0].set_ylabel("Longitudinal wake potential [V/pC]", color="r")
 ax[0].legend()
-ax[0].set_xlim(xmax=wakelength*1e2)
+ax[0].set_xlim(xmax=wakelength * 1e2)
 
-ax[1].plot(wake.f*1e-9, np.abs(wake.Z), c='b', lw=1.5, label='Wakis')
-ax[1].set_xlabel('f [GHz]')
-ax[1].set_ylabel('Longitudinal impedance [Abs][$\Omega$]', color='b')
+ax[1].plot(wake.f * 1e-9, np.abs(wake.Z), c="b", lw=1.5, label="Wakis")
+ax[1].set_xlabel("f [GHz]")
+ax[1].set_ylabel("Longitudinal impedance [Abs][$\Omega$]", color="b")
 ax[1].legend()
 
 fig1.tight_layout()
-fig1.savefig('002_results/002_longitudinal.png')
-#plt.show()
+fig1.savefig("002_results/002_longitudinal.png")
+# plt.show()
 
 # Plot transverse x wake potential and impedance
-fig2, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-ax[0].plot(wake.s*1e2, wake.WPx, c='r', lw=1.5, label='Wakis')
-ax[0].set_xlabel('s [cm]')
-ax[0].set_ylabel('Transverse wake potential X [V/pC]', color='r')
+fig2, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+ax[0].plot(wake.s * 1e2, wake.WPx, c="r", lw=1.5, label="Wakis")
+ax[0].set_xlabel("s [cm]")
+ax[0].set_ylabel("Transverse wake potential X [V/pC]", color="r")
 ax[0].legend()
-ax[0].set_xlim(xmax=wakelength*1e2)
+ax[0].set_xlim(xmax=wakelength * 1e2)
 
-ax[1].plot(wake.f*1e-9, np.abs(wake.Zx), c='b', lw=1.5, label='Wakis')
-ax[1].set_xlabel('f [GHz]')
-ax[1].set_ylabel('Transverse impedance X [Abs][$\Omega$]', color='b')
+ax[1].plot(wake.f * 1e-9, np.abs(wake.Zx), c="b", lw=1.5, label="Wakis")
+ax[1].set_xlabel("f [GHz]")
+ax[1].set_ylabel("Transverse impedance X [Abs][$\Omega$]", color="b")
 ax[1].legend()
 
 fig2.tight_layout()
-fig2.savefig('002_results/002_transverse_x.png')
-#plt.show()
+fig2.savefig("002_results/002_transverse_x.png")
+# plt.show()
 
 # Plot transverse y wake potential and impedance
-fig3, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-ax[0].plot(wake.s*1e2, wake.WPy, c='r', lw=1.5, label='Wakis')
-ax[0].set_xlabel('s [cm]')
-ax[0].set_ylabel('Transverse wake potential Y [V/pC]', color='r')
+fig3, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+ax[0].plot(wake.s * 1e2, wake.WPy, c="r", lw=1.5, label="Wakis")
+ax[0].set_xlabel("s [cm]")
+ax[0].set_ylabel("Transverse wake potential Y [V/pC]", color="r")
 ax[0].legend()
-ax[0].set_xlim(xmax=wakelength*1e2)
+ax[0].set_xlim(xmax=wakelength * 1e2)
 
-ax[1].plot(wake.f*1e-9, np.abs(wake.Zy), c='b', lw=1.5, label='Wakis')
-ax[1].set_xlabel('f [GHz]')
-ax[1].set_ylabel('Transverse impedance Y [Abs][$\Omega$]', color='b')
+ax[1].plot(wake.f * 1e-9, np.abs(wake.Zy), c="b", lw=1.5, label="Wakis")
+ax[1].set_xlabel("f [GHz]")
+ax[1].set_ylabel("Transverse impedance Y [Abs][$\Omega$]", color="b")
 ax[1].legend()
 
 fig3.tight_layout()
-fig3.savefig('002_results/002_transverse_y.png')
-#plt.show()
+fig3.savefig("002_results/002_transverse_y.png")
+# plt.show()
 
 # Plot Electric field component in 2D using imshow
-solver.plot1D(field='E', component='z', 
-              line='z', pos=0.5, xscale='linear', yscale='linear',
-              off_screen=True, title='002_img/Ez1d')
-#plt.show()
+solver.plot1D(
+    field="E",
+    component="z",
+    line="z",
+    pos=0.5,
+    xscale="linear",
+    yscale="linear",
+    off_screen=True,
+    title="002_img/Ez1d",
+)
+# plt.show()
 
 # ----------- 2d plots results --------------------
-from matplotlib.colors import LinearSegmentedColormap
-cmap = LinearSegmentedColormap.from_list('name', plt.cm.jet(np.linspace(0.1, 0.9))) # CST's colormap
+
+cmap = LinearSegmentedColormap.from_list(
+    "name", plt.cm.jet(np.linspace(0.1, 0.9))
+)  # CST's colormap
 
 # Plot Electric field component in 2D using imshow
-solver.plot2D(field='E', component='z', 
-              plane='XY', pos=0.5, 
-              cmap=cmap, vmin=-500, vmax=500., interpolation='hanning',
-              add_patch='cavity', patch_reverse=True, patch_alpha=0.8, 
-              off_screen=True, title='002_img/Ez2d')
-#plt.show()
+solver.plot2D(
+    field="E",
+    component="z",
+    plane="XY",
+    pos=0.5,
+    cmap=cmap,
+    vmin=-500,
+    vmax=500.0,
+    interpolation="hanning",
+    add_patch="cavity",
+    patch_reverse=True,
+    patch_alpha=0.8,
+    off_screen=True,
+    title="002_img/Ez2d",
+)
+# plt.show()
 
 
 # BONUS: Generate an animation from the plots generated during the simulation
 #        Needs imagemagick package -> `apt install imagemagick`
 # os.system('convert -loop 0 -delay 5 002_img/Ez_*.png 002_img/Ez_sim.gif')
-
-        
\ No newline at end of file
diff --git a/examples/003_MPI_wakefield_simulation.py b/examples/003_MPI_wakefield_simulation.py
index 6a0e65d..c5c3bae 100644
--- a/examples/003_MPI_wakefield_simulation.py
+++ b/examples/003_MPI_wakefield_simulation.py
@@ -13,14 +13,15 @@
 import matplotlib.pyplot as plt
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 
-import sys
-sys.path.append('../')
-
 from wakis import SolverFIT3D
 from wakis import GridFIT3D
 from wakis import WakeSolver
 
 from tqdm import tqdm
+from wakis.sources import Beam
+from scipy.constants import c
+
+from matplotlib.colors import LinearSegmentedColormap
 
 # ---------- MPI setup ------------
 # can be skipped since it is handled inside GridFIT3D
@@ -33,16 +34,15 @@
 # ---------- Domain setup ---------
 
 # Geometry & Materials
-solid_1 = 'data/001_vacuum_cavity.stl'
-solid_2 = 'data/001_lossymetal_shell.stl'
+solid_1 = "data/001_vacuum_cavity.stl"
+solid_2 = "data/001_lossymetal_shell.stl"
 
-stl_solids = {'cavity': solid_1,
-              'shell': solid_2
-              }
+stl_solids = {"cavity": solid_1, "shell": solid_2}
 
-stl_materials = {'cavity': 'vacuum',
-                 'shell': [30, 1.0, 30] #[eps_r, mu_r, sigma[S/m]]
-                 }
+stl_materials = {
+    "cavity": "vacuum",
+    "shell": [30, 1.0, 30],  # [eps_r, mu_r, sigma[S/m]]
+}
 
 # Extract domain bounds from geometry
 solids = pv.read(solid_1) + pv.read(solid_2)
@@ -53,51 +53,60 @@
 Ny = 80
 NZ = 140
 
-grid = GridFIT3D(xmin, xmax, ymin, ymax, ZMIN, ZMAX,
-                Nx, Ny, NZ,
-                use_mpi=True, # Enables MPI subdivision of the domain
-                stl_solids=stl_solids,
-                stl_materials=stl_materials,
-                stl_scale=1.0,
-                stl_rotate=[0,0,0],
-                stl_translate=[0,0,0],
-                verbose=1)
-
-print(f"Process {rank}: Handling Z range {grid.zmin} to {grid.zmax} with {grid.Nz} cells")
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    ZMIN,
+    ZMAX,
+    Nx,
+    Ny,
+    NZ,
+    use_mpi=True,  # Enables MPI subdivision of the domain
+    stl_solids=stl_solids,
+    stl_materials=stl_materials,
+    stl_scale=1.0,
+    stl_rotate=[0, 0, 0],
+    stl_translate=[0, 0, 0],
+    verbose=1,
+)
+
+print(
+    f"Process {rank}: Handling Z range {grid.zmin} to {grid.zmax} with {grid.Nz} cells"
+)
 
 # ------------ Beam source & Wake ----------------
 # Beam parameters
-sigmaz = 10e-2      #[m] -> 2 GHz
-q = 1e-9            #[C]
-beta = 1.0          # beam beta
-xs = 0.             # x source position [m]
-ys = 0.             # y source position [m]
-xt = 0.             # x test position [m]
-yt = 0.             # y test position [m]
+sigmaz = 10e-2  # [m] -> 2 GHz
+q = 1e-9  # [C]
+beta = 1.0  # beam beta
+xs = 0.0  # x source position [m]
+ys = 0.0  # y source position [m]
+xt = 0.0  # x test position [m]
+yt = 0.0  # y test position [m]
 # [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]
 
-from wakis.sources import Beam
-from scipy.constants import c
-beam = Beam(q=q, sigmaz=sigmaz, beta=beta,
-            xsource=xs, ysource=ys, ti=3*sigmaz/c)
+beam = Beam(q=q, sigmaz=sigmaz, beta=beta, xsource=xs, ysource=ys, ti=3 * sigmaz / c)
 
-results_folder = f'003_results_n{rank}/'
+results_folder = f"003_results_n{rank}/"
 
 # ----------- Solver & Simulation ----------
 # boundary conditions
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
 # Solver setup
-solver = SolverFIT3D(grid,
-                    bc_low=bc_low,
-                    bc_high=bc_high,
-                    use_stl=True,
-                    use_mpi=True, # Activate MPI
-                    bg='pec' # Background material
-                    )
-
-img_folder = '003_img/'
+solver = SolverFIT3D(
+    grid,
+    bc_low=bc_low,
+    bc_high=bc_high,
+    use_stl=True,
+    use_mpi=True,  # Activate MPI
+    bg="pec",  # Background material
+)
+
+img_folder = "003_img/"
 if not os.path.exists(img_folder):
     os.mkdir(img_folder)
 
@@ -113,151 +122,199 @@
     plot_1D = False
 
     for n in tqdm(range(Nt)):
-
-        beam.update(solver, n*solver.dt)
+        beam.update(solver, n * solver.dt)
 
         solver.mpi_one_step()
 
         # Plot inspect every 20 timesteps
-        if n%20 == 0 and plot_inspect:
-            E = solver.mpi_gather_asField('E')
+        if n % 20 == 0 and plot_inspect:
+            E = solver.mpi_gather_asField("E")
             if rank == 0:
-                fig, ax = E.inspect(figsize=[20,6], plane='YZ', show=False, handles=True)
-                fig.savefig(img_folder+'Einspect_'+str(n).zfill(4)+'.png')
+                fig, ax = E.inspect(
+                    figsize=[20, 6], plane="YZ", show=False, handles=True
+                )
+                fig.savefig(img_folder + "Einspect_" + str(n).zfill(4) + ".png")
                 plt.close(fig)
 
         # Plot E abs in 2D every 20 timesteps
-        if n%20 == 0 and plot_2D:
-            solver.plot2D(field='E', component='Abs',
-                        plane='YZ', pos=0.5,
-                        cmap='rainbow', vmin=0, vmax=500., interpolation='hanning',
-                        off_screen=True, title=img_folder+'Ez2d', n=n)
+        if n % 20 == 0 and plot_2D:
+            solver.plot2D(
+                field="E",
+                component="Abs",
+                plane="YZ",
+                pos=0.5,
+                cmap="rainbow",
+                vmin=0,
+                vmax=500.0,
+                interpolation="hanning",
+                off_screen=True,
+                title=img_folder + "Ez2d",
+                n=n,
+            )
 
         # Plot E z in 1D at diferent transverse positions `pos` every 20 timesteps
-        if n%20 == 0 and plot_1D:
-            solver.plot1D(field='E', component='z',
-                line='z', pos=[0.45, 0.5, 0.55],
-                xscale='linear', yscale='linear',
-                off_screen=True, title=img_folder+'Ez1d', n=n)
+        if n % 20 == 0 and plot_1D:
+            solver.plot1D(
+                field="E",
+                component="z",
+                line="z",
+                pos=[0.45, 0.5, 0.55],
+                xscale="linear",
+                yscale="linear",
+                off_screen=True,
+                title=img_folder + "Ez1d",
+                n=n,
+            )
 
 # -------------- using Wakefield routine  -----------------
 run_wakefield = False
 if run_wakefield:
-
     # ------------ Beam source ----------------
     # Beam parameters
-    sigmaz = 10e-2      #[m] -> 2 GHz
-    q = 1e-9            #[C]
-    beta = 1.0          # beam beta
-    xs = 0.             # x source position [m]
-    ys = 0.             # y source position [m]
-    xt = 0.             # x test position [m]
-    yt = 0.             # y test position [m]
+    sigmaz = 10e-2  # [m] -> 2 GHz
+    q = 1e-9  # [C]
+    beta = 1.0  # beam beta
+    xs = 0.0  # x source position [m]
+    ys = 0.0  # y source position [m]
+    xt = 0.0  # x test position [m]
+    yt = 0.0  # y test position [m]
     # [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]
 
-
     # ----------- Wake Solver  setup  ----------
     # Wakefield post-processor
-    wakelength = 10. # [m] -> Partially decayed
+    wakelength = 10.0  # [m] -> Partially decayed
     skip_cells = 10  # no. cells to skip at zlo/zhi for wake integration
-    results_folder = '003_results/'
-    wake = WakeSolver(q=q, sigmaz=sigmaz, beta=beta,
-                    xsource=xs, ysource=ys, xtest=xt, ytest=yt,
-                    skip_cells=10,
-                    results_folder=results_folder,
-                    Ez_file=results_folder+'Ez.h5',)
+    results_folder = "003_results/"
+    wake = WakeSolver(
+        q=q,
+        sigmaz=sigmaz,
+        beta=beta,
+        xsource=xs,
+        ysource=ys,
+        xtest=xt,
+        ytest=yt,
+        skip_cells=10,
+        results_folder=results_folder,
+        Ez_file=results_folder + "Ez.h5",
+    )
 
     # Reset fields
     solver.reset_fields()
 
     # Solver run
-    plotkw2D = {'title': img_folder+'Ez',
-            'add_patch':'cavity', 'patch_alpha':1.0,
-            'patch_reverse' : True,  # patch logical_not('cavity')
-            'vmin':-1e3, 'vmax':1e3, # colormap limits
-            'cmap': 'rainbow',
-            'plane': [int(Nx/2),                       # x
-                      slice(0, Ny),                    # y
-                      slice(skip_cells, -skip_cells)]}   # z
-
-    solver.wakesolve(wakelength=wakelength,
-                    wake=wake,
-                    plot=False, # turn False for speedup
-                    plot_every=30, plot_until=3000, **plotkw2D
-                    )
+    plotkw2D = {
+        "title": img_folder + "Ez",
+        "add_patch": "cavity",
+        "patch_alpha": 1.0,
+        "patch_reverse": True,  # patch logical_not('cavity')
+        "vmin": -1e3,
+        "vmax": 1e3,  # colormap limits
+        "cmap": "rainbow",
+        "plane": [
+            int(Nx / 2),  # x
+            slice(0, Ny),  # y
+            slice(skip_cells, -skip_cells),
+        ],
+    }  # z
+
+    solver.wakesolve(
+        wakelength=wakelength,
+        wake=wake,
+        plot=False,  # turn False for speedup
+        plot_every=30,
+        plot_until=3000,
+        **plotkw2D,
+    )
 
     if solver.rank == 0:
         # ----------- 1d plot results --------------------
         # Plot longitudinal wake potential and impedance
-        fig1, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-        ax[0].plot(wake.s*1e2, wake.WP, c='r', lw=1.5, label='Wakis')
-        ax[0].set_xlabel('s [cm]')
-        ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='r')
+        fig1, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+        ax[0].plot(wake.s * 1e2, wake.WP, c="r", lw=1.5, label="Wakis")
+        ax[0].set_xlabel("s [cm]")
+        ax[0].set_ylabel("Longitudinal wake potential [V/pC]", color="r")
         ax[0].legend()
-        ax[0].set_xlim(xmax=wakelength*1e2)
+        ax[0].set_xlim(xmax=wakelength * 1e2)
 
-        ax[1].plot(wake.f*1e-9, np.abs(wake.Z), c='b', lw=1.5, label='Wakis')
-        ax[1].set_xlabel('f [GHz]')
-        ax[1].set_ylabel('Longitudinal impedance [Abs][$\Omega$]', color='b')
+        ax[1].plot(wake.f * 1e-9, np.abs(wake.Z), c="b", lw=1.5, label="Wakis")
+        ax[1].set_xlabel("f [GHz]")
+        ax[1].set_ylabel("Longitudinal impedance [Abs][$\Omega$]", color="b")
         ax[1].legend()
 
         fig1.tight_layout()
-        fig1.savefig('003_results/longitudinal.png')
-        #plt.show()
+        fig1.savefig("003_results/longitudinal.png")
+        # plt.show()
 
         # Plot transverse x wake potential and impedance
-        fig2, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-        ax[0].plot(wake.s*1e2, wake.WPx, c='r', lw=1.5, label='Wakis')
-        ax[0].set_xlabel('s [cm]')
-        ax[0].set_ylabel('Transverse wake potential X [V/pC]', color='r')
+        fig2, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+        ax[0].plot(wake.s * 1e2, wake.WPx, c="r", lw=1.5, label="Wakis")
+        ax[0].set_xlabel("s [cm]")
+        ax[0].set_ylabel("Transverse wake potential X [V/pC]", color="r")
         ax[0].legend()
-        ax[0].set_xlim(xmax=wakelength*1e2)
+        ax[0].set_xlim(xmax=wakelength * 1e2)
 
-        ax[1].plot(wake.f*1e-9, np.abs(wake.Zx), c='b', lw=1.5, label='Wakis')
-        ax[1].set_xlabel('f [GHz]')
-        ax[1].set_ylabel('Transverse impedance X [Abs][$\Omega$]', color='b')
+        ax[1].plot(wake.f * 1e-9, np.abs(wake.Zx), c="b", lw=1.5, label="Wakis")
+        ax[1].set_xlabel("f [GHz]")
+        ax[1].set_ylabel("Transverse impedance X [Abs][$\Omega$]", color="b")
         ax[1].legend()
 
         fig2.tight_layout()
-        fig2.savefig('003_results/transverse_x.png')
-        #plt.show()
+        fig2.savefig("003_results/transverse_x.png")
+        # plt.show()
 
         # Plot transverse y wake potential and impedance
-        fig3, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-        ax[0].plot(wake.s*1e2, wake.WPy, c='r', lw=1.5, label='Wakis')
-        ax[0].set_xlabel('s [cm]')
-        ax[0].set_ylabel('Transverse wake potential Y [V/pC]', color='r')
+        fig3, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+        ax[0].plot(wake.s * 1e2, wake.WPy, c="r", lw=1.5, label="Wakis")
+        ax[0].set_xlabel("s [cm]")
+        ax[0].set_ylabel("Transverse wake potential Y [V/pC]", color="r")
         ax[0].legend()
-        ax[0].set_xlim(xmax=wakelength*1e2)
+        ax[0].set_xlim(xmax=wakelength * 1e2)
 
-        ax[1].plot(wake.f*1e-9, np.abs(wake.Zy), c='b', lw=1.5, label='Wakis')
-        ax[1].set_xlabel('f [GHz]')
-        ax[1].set_ylabel('Transverse impedance Y [Abs][$\Omega$]', color='b')
+        ax[1].plot(wake.f * 1e-9, np.abs(wake.Zy), c="b", lw=1.5, label="Wakis")
+        ax[1].set_xlabel("f [GHz]")
+        ax[1].set_ylabel("Transverse impedance Y [Abs][$\Omega$]", color="b")
         ax[1].legend()
 
         fig3.tight_layout()
-        fig3.savefig('003_results/transverse_y.png')
-        #plt.show()
+        fig3.savefig("003_results/transverse_y.png")
+        # plt.show()
 
     # Plot Electric field component in 1D for several transverse positions
-    solver.plot1D(field='E', component='z',
-                line='z', pos=[0.4, 0.5, 0.6],
-                xscale='linear', yscale='linear',
-                off_screen=True, title=img_folder+'Ez1d')
-    #plt.show()
+    solver.plot1D(
+        field="E",
+        component="z",
+        line="z",
+        pos=[0.4, 0.5, 0.6],
+        xscale="linear",
+        yscale="linear",
+        off_screen=True,
+        title=img_folder + "Ez1d",
+    )
+    # plt.show()
 
     # ----------- 2d plots results --------------------
-    from matplotlib.colors import LinearSegmentedColormap
-    cmap = LinearSegmentedColormap.from_list('name', plt.cm.jet(np.linspace(0.1, 0.9))) # CST's colormap
 
-    # Plot Electric field component in 2D using imshow
-    solver.plot2D(field='E', component='z',
-                plane='XY', pos=0.5,
-                cmap=cmap, vmin=-500, vmax=500., interpolation='hanning',
-                add_patch='cavity', patch_reverse=True, patch_alpha=0.8,
-                off_screen=True, title=img_folder+'Ez2d')
-    #plt.show()
+    cmap = LinearSegmentedColormap.from_list(
+        "name", plt.cm.jet(np.linspace(0.1, 0.9))
+    )  # CST's colormap
 
+    # Plot Electric field component in 2D using imshow
+    solver.plot2D(
+        field="E",
+        component="z",
+        plane="XY",
+        pos=0.5,
+        cmap=cmap,
+        vmin=-500,
+        vmax=500.0,
+        interpolation="hanning",
+        add_patch="cavity",
+        patch_reverse=True,
+        patch_alpha=0.8,
+        off_screen=True,
+        title=img_folder + "Ez2d",
+    )
+    # plt.show()
 
     # BONUS: Generate an animation from the plots generated during the simulation
     #        Needs imagemagick package -> `apt install imagemagick`
@@ -265,56 +322,87 @@
 
     # ----------- 3d plots results --------------------
     # Plot Electric field component in 3D using pyvista.plotter
-    solver.plot3D('E', component='Abs',
-                cmap='rainbow', clim=[0, 500],
-                add_stl=['cavity', 'shell'], stl_opacity=0.1,
-                clip_interactive=True, clip_normal='-y')
+    solver.plot3D(
+        "E",
+        component="Abs",
+        cmap="rainbow",
+        clim=[0, 500],
+        add_stl=["cavity", "shell"],
+        stl_opacity=0.1,
+        clip_interactive=True,
+        clip_normal="-y",
+    )
 
     # Plot Abs Electric field on STL solid `cavity`
-    solver.plot3DonSTL('E', component='Abs',
-                    cmap='rainbow', clim=[0, 500],
-                    stl_with_field='cavity', field_opacity=1.0,
-                    stl_transparent='shell', stl_opacity=0.1, stl_colors='white',
-                    #clip_plane=True, clip_normal='-y', clip_origin=[0,0,0], #coming in v0.5.0
-                    off_screen=False, zoom=1.2, title='003_img/Ez3d')
+    solver.plot3DonSTL(
+        "E",
+        component="Abs",
+        cmap="rainbow",
+        clim=[0, 500],
+        stl_with_field="cavity",
+        field_opacity=1.0,
+        stl_transparent="shell",
+        stl_opacity=0.1,
+        stl_colors="white",
+        # clip_plane=True, clip_normal='-y', clip_origin=[0,0,0], #coming in v0.5.0
+        off_screen=False,
+        zoom=1.2,
+        title="003_img/Ez3d",
+    )
 
 
 # --------------------- Extra -----------------------
 # Callback plotting functions for debugging
 # Need to gather field before, e.g.: Ez = solver.mpi_gather('Ez', x=Nx//2)
 # Need to be plotted in rank 0 only e.g.: if rank == 0: plot1D_field(Ez, 'Ez', n=n, results_folder=img_folder, vmin=-800, vmax=800)
-def plot1D_field(field, name='E', y=Ny//2, n=None, results_folder='img/', vmin=None, vmax=None,):
+def plot1D_field(
+    field,
+    name="E",
+    y=Ny // 2,
+    n=None,
+    results_folder="img/",
+    vmin=None,
+    vmax=None,
+):
     if vmin is None:
         vmin = -field.max()
     if ymax is None:
         vmax = field.max()
 
     fig, ax = plt.subplots()
-    ax.plot(field[y, :], c='g')
-    ax.set_title(f'{name} at timestep={n}')
-    ax.set_xlabel('z [m]')
-    ax.set_ylabel('Field amplitude')
+    ax.plot(field[y, :], c="g")
+    ax.set_title(f"{name} at timestep={n}")
+    ax.set_xlabel("z [m]")
+    ax.set_ylabel("Field amplitude")
     ax.set_ylim((vmin, vmax))
 
-    #plot vertical lines at subdomain borders
+    # plot vertical lines at subdomain borders
     for r in range(size):
         if r == 0:
-            ax.axvline(NZ//size*(r+1)+grid.n_ghosts, c='red', alpha=0.5)
-            ax.axvline(NZ//size*(r), c='blue', alpha=0.5)
-        elif r == (size-1):
-            ax.axvline(NZ//size*(r+1), c='red', alpha=0.5)
-            ax.axvline(NZ//size*(r)-grid.n_ghosts, c='blue', alpha=0.5)
-        else: #outside subdomains
-            ax.axvline(NZ//size*(r+1)+grid.n_ghosts, c='red', alpha=0.5)
-            ax.axvline(NZ//size*(r)-grid.n_ghosts, c='blue', alpha=0.5)
+            ax.axvline(NZ // size * (r + 1) + grid.n_ghosts, c="red", alpha=0.5)
+            ax.axvline(NZ // size * (r), c="blue", alpha=0.5)
+        elif r == (size - 1):
+            ax.axvline(NZ // size * (r + 1), c="red", alpha=0.5)
+            ax.axvline(NZ // size * (r) - grid.n_ghosts, c="blue", alpha=0.5)
+        else:  # outside subdomains
+            ax.axvline(NZ // size * (r + 1) + grid.n_ghosts, c="red", alpha=0.5)
+            ax.axvline(NZ // size * (r) - grid.n_ghosts, c="blue", alpha=0.5)
 
     fig.tight_layout()
-    fig.savefig(results_folder+name+'1d_'+str(n).zfill(4)+'.png')
+    fig.savefig(results_folder + name + "1d_" + str(n).zfill(4) + ".png")
 
     plt.clf()
     plt.close(fig)
 
-def plot2D_field(field, name='E', n=None, results_folder='img/', vmin=None, vmax=None,):
+
+def plot2D_field(
+    field,
+    name="E",
+    n=None,
+    results_folder="img/",
+    vmin=None,
+    vmax=None,
+):
     extent = (0, NZ, 0, Ny)
     if vmin is None:
         vmin = -field.max()
@@ -322,25 +410,27 @@ def plot2D_field(field, name='E', n=None, results_folder='img/', vmin=None, vmax
         vmax = field.max()
 
     fig, ax = plt.subplots()
-    im = ax.imshow(field, cmap='rainbow', extent=extent, vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'{name} at timestep={n}')
-    ax.set_xlabel('z [id]')
-    ax.set_ylabel('y [id]')
-
-    #plot vertical lines at subdomain borders
+    im = ax.imshow(field, cmap="rainbow", extent=extent, vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"{name} at timestep={n}")
+    ax.set_xlabel("z [id]")
+    ax.set_ylabel("y [id]")
+
+    # plot vertical lines at subdomain borders
     for r in range(size):
         if r == 0:
-            ax.axvline(NZ//size*(r+1)+grid.n_ghosts, c='red', alpha=0.5)
-            ax.axvline(NZ//size*(r), c='blue', alpha=0.5)
-        elif r == (size-1):
-            ax.axvline(NZ//size*(r+1), c='red', alpha=0.5)
-            ax.axvline(NZ//size*(r)-grid.n_ghosts, c='blue', alpha=0.5)
-        else: #outside subdomains
-            ax.axvline(NZ//size*(r+1)+grid.n_ghosts, c='red', alpha=0.5)
-            ax.axvline(NZ//size*(r)-grid.n_ghosts, c='blue', alpha=0.5)
-
-    #plot fill rectangles for each subdomain
+            ax.axvline(NZ // size * (r + 1) + grid.n_ghosts, c="red", alpha=0.5)
+            ax.axvline(NZ // size * (r), c="blue", alpha=0.5)
+        elif r == (size - 1):
+            ax.axvline(NZ // size * (r + 1), c="red", alpha=0.5)
+            ax.axvline(NZ // size * (r) - grid.n_ghosts, c="blue", alpha=0.5)
+        else:  # outside subdomains
+            ax.axvline(NZ // size * (r + 1) + grid.n_ghosts, c="red", alpha=0.5)
+            ax.axvline(NZ // size * (r) - grid.n_ghosts, c="blue", alpha=0.5)
+
+    # plot fill rectangles for each subdomain
     # for r in range(size):
     #     if r == 0:
     #         ax.axvspan(NZ//size*(r), NZ//size*(r+1)+grid.n_ghosts, color='darkorange', alpha=0.1)
@@ -350,20 +440,21 @@ def plot2D_field(field, name='E', n=None, results_folder='img/', vmin=None, vmax
     #         ax.axvspan(NZ//size*(r)-grid.n_ghosts, NZ//size*(r+1)+grid.n_ghosts, color='green', alpha=0.1)
 
     fig.tight_layout(h_pad=0.3)
-    fig.savefig(results_folder+name+'2d_'+str(n).zfill(4)+'.png')
+    fig.savefig(results_folder + name + "2d_" + str(n).zfill(4) + ".png")
 
     plt.clf()
     plt.close(fig)
 
+
 # # Check global material tensors inside loop
 if False:
     ieps = solver.mpi_gather_asField(solver.ieps)
-    sigma = solver.mpi_gather(solver.sigma, 'z', x=Nx//2)
+    sigma = solver.mpi_gather(solver.sigma, "z", x=Nx // 2)
     if rank == 0:
         # Plot eps^-1 tensor
-        fig, ax = ieps.inspect(figsize=[20,6], plane='YZ', show=False, handles=True)
-        fig.savefig(img_folder+'ieps_inspect.png')
+        fig, ax = ieps.inspect(figsize=[20, 6], plane="YZ", show=False, handles=True)
+        fig.savefig(img_folder + "ieps_inspect.png")
         plt.close(fig)
 
         # Plot
-        plot2D_field(sigma, 'sigmaz_', results_folder=img_folder)
\ No newline at end of file
+        plot2D_field(sigma, "sigmaz_", results_folder=img_folder)
diff --git a/examples/004_MPI+GPU_wakefield_simulation.py b/examples/004_MPI+GPU_wakefield_simulation.py
index ceb2e7e..7b3658e 100644
--- a/examples/004_MPI+GPU_wakefield_simulation.py
+++ b/examples/004_MPI+GPU_wakefield_simulation.py
@@ -13,39 +13,38 @@
 import matplotlib.pyplot as plt
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 
-import sys
-sys.path.append('../')
-
 from wakis import SolverFIT3D
-from wakis import GridFIT3D 
+from wakis import GridFIT3D
 from wakis import WakeSolver
 
 from tqdm import tqdm
 
+from wakis.sources import Beam
+from scipy.constants import c
+
 # ---------- MPI setup ------------
 # can be skipped since it is handled inside GridFIT3D
-from mpi4py import MPI 
+from mpi4py import MPI
 
 comm = MPI.COMM_WORLD  # Get MPI communicator
 rank = comm.Get_rank()  # Process ID
 size = comm.Get_size()  # Total number of MPI processes
 
 # ------- GPU setup --------------
-os.environ['CUDA_VISIBLE_DEVICES']=str(rank+2)
+os.environ["CUDA_VISIBLE_DEVICES"] = str(rank + 2)
 
 # ---------- Domain setup ---------
 
 # Geometry & Materials
-solid_1 = 'data/001_vacuum_cavity.stl'
-solid_2 = 'data/001_lossymetal_shell.stl'
+solid_1 = "data/001_vacuum_cavity.stl"
+solid_2 = "data/001_lossymetal_shell.stl"
 
-stl_solids = {'cavity': solid_1, 
-              'shell': solid_2
-              }
+stl_solids = {"cavity": solid_1, "shell": solid_2}
 
-stl_materials = {'cavity': 'vacuum', 
-                 'shell': [30, 1.0, 30] #[eps_r, mu_r, sigma[S/m]]
-                 }
+stl_materials = {
+    "cavity": "vacuum",
+    "shell": [30, 1.0, 30],  # [eps_r, mu_r, sigma[S/m]]
+}
 
 # Extract domain bounds from geometry
 solids = pv.read(solid_1) + pv.read(solid_2)
@@ -56,53 +55,63 @@
 Ny = 80
 NZ = 140
 
-grid = GridFIT3D(xmin, xmax, ymin, ymax, ZMIN, ZMAX, 
-                Nx, Ny, NZ, 
-                use_mpi=True, # Enables MPI subdivision of the domain
-                stl_solids=stl_solids, 
-                stl_materials=stl_materials,
-                stl_scale=1.0,
-                stl_rotate=[0,0,0],
-                stl_translate=[0,0,0],
-                verbose=1)
-
-print(f"Process {rank}: Handling Z range {grid.zmin} to {grid.zmax} with {grid.Nz} cells")
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    ZMIN,
+    ZMAX,
+    Nx,
+    Ny,
+    NZ,
+    use_mpi=True,  # Enables MPI subdivision of the domain
+    stl_solids=stl_solids,
+    stl_materials=stl_materials,
+    stl_scale=1.0,
+    stl_rotate=[0, 0, 0],
+    stl_translate=[0, 0, 0],
+    verbose=1,
+)
+
+print(
+    f"Process {rank}: Handling Z range {grid.zmin} to {grid.zmax} with {grid.Nz} cells"
+)
 
 # ------------ Beam source & Wake ----------------
 # Beam parameters
-sigmaz = 10e-2      #[m] -> 2 GHz
-q = 1e-9            #[C]
-beta = 1.0          # beam beta 
-xs = 0.             # x source position [m]
-ys = 0.             # y source position [m]
-xt = 0.             # x test position [m]
-yt = 0.             # y test position [m]
-# [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s] 
+sigmaz = 10e-2  # [m] -> 2 GHz
+q = 1e-9  # [C]
+beta = 1.0  # beam beta
+xs = 0.0  # x source position [m]
+ys = 0.0  # y source position [m]
+xt = 0.0  # x test position [m]
+yt = 0.0  # y test position [m]
+# [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]
 
-from wakis.sources import Beam
-from scipy.constants import c
-beam = Beam(q=q, sigmaz=sigmaz, beta=beta,
-            xsource=xs, ysource=ys, ti=3*sigmaz/c)
+
+beam = Beam(q=q, sigmaz=sigmaz, beta=beta, xsource=xs, ysource=ys, ti=3 * sigmaz / c)
 
 # ----------- Solver & Simulation ----------
 # boundary conditions
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
 # Solver setup
-solver = SolverFIT3D(grid,
-                    bc_low=bc_low, 
-                    bc_high=bc_high, 
-                    use_stl=True, 
-                    use_mpi=True, # Activate MPI
-                    use_gpu=True,
-                    bg='pec' # Background material
-                    )
-
-img_folder = '004_img/'
-if not os.path.exists(img_folder) and rank == 0: 
+solver = SolverFIT3D(
+    grid,
+    bc_low=bc_low,
+    bc_high=bc_high,
+    use_stl=True,
+    use_mpi=True,  # Activate MPI
+    use_gpu=True,
+    bg="pec",  # Background material
+)
+
+img_folder = "004_img/"
+if not os.path.exists(img_folder) and rank == 0:
     os.mkdir(img_folder)
-      
+
 # -------------- Custom time loop  -----------------
 run_timeloop = False
 if run_timeloop:
@@ -115,151 +124,200 @@
     plot_1D = False
 
     for n in tqdm(range(Nt)):
-
-        beam.update(solver, n*solver.dt)
+        beam.update(solver, n * solver.dt)
 
         solver.mpi_one_step()
 
         # Plot inspect every 20 timesteps
-        if n%20 == 0 and plot_inspect:
-            E = solver.mpi_gather_asField('E')
+        if n % 20 == 0 and plot_inspect:
+            E = solver.mpi_gather_asField("E")
             if rank == 0:
-                fig, ax = E.inspect(figsize=[20,6], plane='YZ', show=False, handles=True)
-                fig.savefig(img_folder+'Einspect_'+str(n).zfill(4)+'.png')
+                fig, ax = E.inspect(
+                    figsize=[20, 6], plane="YZ", show=False, handles=True
+                )
+                fig.savefig(img_folder + "Einspect_" + str(n).zfill(4) + ".png")
                 plt.close(fig)
 
         # Plot E abs in 2D every 20 timesteps
-        if n%20 == 0 and plot_2D:
-            solver.plot2D(field='E', component='Abs', 
-                        plane='YZ', pos=0.5, 
-                        cmap='rainbow', vmin=0, vmax=500., interpolation='hanning',
-                        off_screen=True, title=img_folder+'Ez2d', n=n)
+        if n % 20 == 0 and plot_2D:
+            solver.plot2D(
+                field="E",
+                component="Abs",
+                plane="YZ",
+                pos=0.5,
+                cmap="rainbow",
+                vmin=0,
+                vmax=500.0,
+                interpolation="hanning",
+                off_screen=True,
+                title=img_folder + "Ez2d",
+                n=n,
+            )
 
         # Plot E z in 1D at diferent transverse positions `pos` every 20 timesteps
-        if n%20 == 0 and plot_1D:
-            solver.plot1D(field='E', component='z', 
-                line='z', pos=[0.45, 0.5, 0.55], 
-                xscale='linear', yscale='linear',
-                off_screen=True, title=img_folder+'Ez1d', n=n)
-      
+        if n % 20 == 0 and plot_1D:
+            solver.plot1D(
+                field="E",
+                component="z",
+                line="z",
+                pos=[0.45, 0.5, 0.55],
+                xscale="linear",
+                yscale="linear",
+                off_screen=True,
+                title=img_folder + "Ez1d",
+                n=n,
+            )
+
 # -------------- using Wakefield routine  -----------------
 run_wakefield = True
 if run_wakefield:
-
     # ------------ Beam source ----------------
     # Beam parameters
-    sigmaz = 10e-2      #[m] -> 2 GHz
-    q = 1e-9            #[C]
-    beta = 1.0          # beam beta 
-    xs = 0.             # x source position [m]
-    ys = 0.             # y source position [m]
-    xt = 0.             # x test position [m]
-    yt = 0.             # y test position [m]
-    # [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s] 
-
+    sigmaz = 10e-2  # [m] -> 2 GHz
+    q = 1e-9  # [C]
+    beta = 1.0  # beam beta
+    xs = 0.0  # x source position [m]
+    ys = 0.0  # y source position [m]
+    xt = 0.0  # x test position [m]
+    yt = 0.0  # y test position [m]
+    # [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]
 
     # ----------- Wake Solver  setup  ----------
     # Wakefield post-processor
-    wakelength = 10. # [m] -> Partially decayed
+    wakelength = 10.0  # [m] -> Partially decayed
     skip_cells = 10  # no. cells to skip at zlo/zhi for wake integration
-    results_folder = '004_results/'
-    wake = WakeSolver(q=q, sigmaz=sigmaz, beta=beta,
-                    xsource=xs, ysource=ys, xtest=xt, ytest=yt,
-                    skip_cells=10,
-                    results_folder=results_folder,
-                    Ez_file=results_folder+'Ez.h5',)
+    results_folder = "004_results/"
+    wake = WakeSolver(
+        q=q,
+        sigmaz=sigmaz,
+        beta=beta,
+        xsource=xs,
+        ysource=ys,
+        xtest=xt,
+        ytest=yt,
+        skip_cells=10,
+        results_folder=results_folder,
+        Ez_file=results_folder + "Ez.h5",
+    )
 
     # Reset fields
     solver.reset_fields()
 
     # Solver run
-    plotkw2D = {'title': img_folder+'Ez', 
-            'add_patch':'cavity', 'patch_alpha':1.0,
-            'patch_reverse' : True,  # patch logical_not('cavity')
-            'vmin':-1e3, 'vmax':1e3, # colormap limits
-            'cmap': 'rainbow',
-            'plane': [int(Nx/2),                       # x
-                      slice(0, Ny),                    # y
-                      slice(skip_cells, -skip_cells)]}   # z
-
-    solver.wakesolve(wakelength=wakelength, 
-                    wake=wake,
-                    plot=False, # turn False for speedup
-                    plot_every=30, plot_until=3000, **plotkw2D
-                    )
+    plotkw2D = {
+        "title": img_folder + "Ez",
+        "add_patch": "cavity",
+        "patch_alpha": 1.0,
+        "patch_reverse": True,  # patch logical_not('cavity')
+        "vmin": -1e3,
+        "vmax": 1e3,  # colormap limits
+        "cmap": "rainbow",
+        "plane": [
+            int(Nx / 2),  # x
+            slice(0, Ny),  # y
+            slice(skip_cells, -skip_cells),
+        ],
+    }  # z
+
+    solver.wakesolve(
+        wakelength=wakelength,
+        wake=wake,
+        plot=False,  # turn False for speedup
+        plot_every=30,
+        plot_until=3000,
+        **plotkw2D,
+    )
 
     if solver.rank == 0:
         # ----------- 1d plot results --------------------
         # Plot longitudinal wake potential and impedance
-        fig1, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-        ax[0].plot(wake.s*1e2, wake.WP, c='r', lw=1.5, label='Wakis')
-        ax[0].set_xlabel('s [cm]')
-        ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='r')
+        fig1, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+        ax[0].plot(wake.s * 1e2, wake.WP, c="r", lw=1.5, label="Wakis")
+        ax[0].set_xlabel("s [cm]")
+        ax[0].set_ylabel("Longitudinal wake potential [V/pC]", color="r")
         ax[0].legend()
-        ax[0].set_xlim(xmax=wakelength*1e2)
+        ax[0].set_xlim(xmax=wakelength * 1e2)
 
-        ax[1].plot(wake.f*1e-9, np.abs(wake.Z), c='b', lw=1.5, label='Wakis')
-        ax[1].set_xlabel('f [GHz]')
-        ax[1].set_ylabel('Longitudinal impedance [Abs][$\Omega$]', color='b')
+        ax[1].plot(wake.f * 1e-9, np.abs(wake.Z), c="b", lw=1.5, label="Wakis")
+        ax[1].set_xlabel("f [GHz]")
+        ax[1].set_ylabel("Longitudinal impedance [Abs][$\Omega$]", color="b")
         ax[1].legend()
 
         fig1.tight_layout()
-        fig1.savefig('004_results/longitudinal.png')
-        #plt.show()
+        fig1.savefig("004_results/longitudinal.png")
+        # plt.show()
 
         # Plot transverse x wake potential and impedance
-        fig2, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-        ax[0].plot(wake.s*1e2, wake.WPx, c='r', lw=1.5, label='Wakis')
-        ax[0].set_xlabel('s [cm]')
-        ax[0].set_ylabel('Transverse wake potential X [V/pC]', color='r')
+        fig2, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+        ax[0].plot(wake.s * 1e2, wake.WPx, c="r", lw=1.5, label="Wakis")
+        ax[0].set_xlabel("s [cm]")
+        ax[0].set_ylabel("Transverse wake potential X [V/pC]", color="r")
         ax[0].legend()
-        ax[0].set_xlim(xmax=wakelength*1e2)
+        ax[0].set_xlim(xmax=wakelength * 1e2)
 
-        ax[1].plot(wake.f*1e-9, np.abs(wake.Zx), c='b', lw=1.5, label='Wakis')
-        ax[1].set_xlabel('f [GHz]')
-        ax[1].set_ylabel('Transverse impedance X [Abs][$\Omega$]', color='b')
+        ax[1].plot(wake.f * 1e-9, np.abs(wake.Zx), c="b", lw=1.5, label="Wakis")
+        ax[1].set_xlabel("f [GHz]")
+        ax[1].set_ylabel("Transverse impedance X [Abs][$\Omega$]", color="b")
         ax[1].legend()
 
         fig2.tight_layout()
-        fig2.savefig('004_results/transverse_x.png')
-        #plt.show()
+        fig2.savefig("004_results/transverse_x.png")
+        # plt.show()
 
         # Plot transverse y wake potential and impedance
-        fig3, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-        ax[0].plot(wake.s*1e2, wake.WPy, c='r', lw=1.5, label='Wakis')
-        ax[0].set_xlabel('s [cm]')
-        ax[0].set_ylabel('Transverse wake potential Y [V/pC]', color='r')
+        fig3, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+        ax[0].plot(wake.s * 1e2, wake.WPy, c="r", lw=1.5, label="Wakis")
+        ax[0].set_xlabel("s [cm]")
+        ax[0].set_ylabel("Transverse wake potential Y [V/pC]", color="r")
         ax[0].legend()
-        ax[0].set_xlim(xmax=wakelength*1e2)
+        ax[0].set_xlim(xmax=wakelength * 1e2)
 
-        ax[1].plot(wake.f*1e-9, np.abs(wake.Zy), c='b', lw=1.5, label='Wakis')
-        ax[1].set_xlabel('f [GHz]')
-        ax[1].set_ylabel('Transverse impedance Y [Abs][$\Omega$]', color='b')
+        ax[1].plot(wake.f * 1e-9, np.abs(wake.Zy), c="b", lw=1.5, label="Wakis")
+        ax[1].set_xlabel("f [GHz]")
+        ax[1].set_ylabel("Transverse impedance Y [Abs][$\Omega$]", color="b")
         ax[1].legend()
 
         fig3.tight_layout()
-        fig3.savefig('004_results/transverse_y.png')
-        #plt.show()
+        fig3.savefig("004_results/transverse_y.png")
+        # plt.show()
 
     # Plot Electric field component in 1D for several transverse positions
-    solver.plot1D(field='E', component='z', 
-                line='z', pos=[0.4, 0.5, 0.6], 
-                xscale='linear', yscale='linear',
-                off_screen=True, title=img_folder+'Ez1d')
-    #plt.show()
+    solver.plot1D(
+        field="E",
+        component="z",
+        line="z",
+        pos=[0.4, 0.5, 0.6],
+        xscale="linear",
+        yscale="linear",
+        off_screen=True,
+        title=img_folder + "Ez1d",
+    )
+    # plt.show()
 
     # ----------- 2d plots results --------------------
     from matplotlib.colors import LinearSegmentedColormap
-    cmap = LinearSegmentedColormap.from_list('name', plt.cm.jet(np.linspace(0.1, 0.9))) # CST's colormap
 
-    # Plot Electric field component in 2D using imshow
-    solver.plot2D(field='E', component='z', 
-                plane='XY', pos=0.5, 
-                cmap=cmap, vmin=-500, vmax=500., interpolation='hanning',
-                add_patch='cavity', patch_reverse=True, patch_alpha=0.8, 
-                off_screen=True, title=img_folder+'Ez2d')
-    #plt.show()
+    cmap = LinearSegmentedColormap.from_list(
+        "name", plt.cm.jet(np.linspace(0.1, 0.9))
+    )  # CST's colormap
 
+    # Plot Electric field component in 2D using imshow
+    solver.plot2D(
+        field="E",
+        component="z",
+        plane="XY",
+        pos=0.5,
+        cmap=cmap,
+        vmin=-500,
+        vmax=500.0,
+        interpolation="hanning",
+        add_patch="cavity",
+        patch_reverse=True,
+        patch_alpha=0.8,
+        off_screen=True,
+        title=img_folder + "Ez2d",
+    )
+    # plt.show()
 
     # BONUS: Generate an animation from the plots generated during the simulation
     #        Needs imagemagick package -> `apt install imagemagick`
@@ -267,71 +325,87 @@
 
     # ----------- 3d plots results --------------------
     # Plot Electric field component in 3D using pyvista.plotter
-    solver.plot3D('E', component='Abs', 
-                cmap='rainbow', clim=[0, 500],
-                add_stl=['cavity', 'shell'], stl_opacity=0.1,
-                clip_interactive=True, clip_normal='-y')
+    solver.plot3D(
+        "E",
+        component="Abs",
+        cmap="rainbow",
+        clim=[0, 500],
+        add_stl=["cavity", "shell"],
+        stl_opacity=0.1,
+        clip_interactive=True,
+        clip_normal="-y",
+    )
 
     # Plot Abs Electric field on STL solid `cavity`
-    solver.plot3DonSTL('E', component='Abs', 
-                    cmap='rainbow', clim=[0, 500],
-                    stl_with_field='cavity', field_opacity=1.0,
-                    stl_transparent='shell', stl_opacity=0.1, stl_colors='white',
-                    #clip_plane=True, clip_normal='-y', clip_origin=[0,0,0], #coming in v0.5.0
-                    off_screen=False, zoom=1.2, title='004_img/Ez3d')
-            
-
-# --------------------- Extra -----------------------
-# # Check global material tensors
-if False:
-    ieps = solver.mpi_gather_asField(solver.ieps)
-    sigma = solver.mpi_gather(solver.sigma, 'z', x=Nx//2)
-    if rank == 0:
-        # Plot eps^-1 tensor
-        fig, ax = ieps.inspect(figsize=[20,6], plane='YZ', show=False, handles=True)
-        fig.savefig(img_folder+'ieps_inspect.png')
-        plt.close(fig)
-
-        # Plot 
-        plot2D_field(sigma, 'sigmaz_', results_folder=img_folder)
+    solver.plot3DonSTL(
+        "E",
+        component="Abs",
+        cmap="rainbow",
+        clim=[0, 500],
+        stl_with_field="cavity",
+        field_opacity=1.0,
+        stl_transparent="shell",
+        stl_opacity=0.1,
+        stl_colors="white",
+        # clip_plane=True, clip_normal='-y', clip_origin=[0,0,0], #coming in v0.5.0
+        off_screen=False,
+        zoom=1.2,
+        title="004_img/Ez3d",
+    )
 
 
 # Callback plotting functions for debugging
 # Need to gather field before, e.g.: Ez = solver.mpi_gather('Ez', x=Nx//2)
 # Need to be plotted in rank 0 only e.g.: if rank == 0: plot1D_field(Ez, 'Ez', n=n, results_folder=img_folder, vmin=-800, vmax=800)
 if False:
-    def plot1D_field(field, name='E', y=Ny//2, n=None, results_folder='img/', vmin=None, vmax=None,):
+
+    def plot1D_field(
+        field,
+        name="E",
+        y=Ny // 2,
+        n=None,
+        results_folder="img/",
+        vmin=None,
+        vmax=None,
+    ):
         if vmin is None:
             vmin = -field.max()
         if ymax is None:
             vmax = field.max()
 
         fig, ax = plt.subplots()
-        ax.plot(field[y, :], c='g')
-        ax.set_title(f'{name} at timestep={n}')
-        ax.set_xlabel('z [m]')
-        ax.set_ylabel('Field amplitude')
+        ax.plot(field[y, :], c="g")
+        ax.set_title(f"{name} at timestep={n}")
+        ax.set_xlabel("z [m]")
+        ax.set_ylabel("Field amplitude")
         ax.set_ylim((vmin, vmax))
 
-        #plot vertical lines at subdomain borders
+        # plot vertical lines at subdomain borders
         for r in range(size):
             if r == 0:
-                ax.axvline(NZ//size*(r+1)+grid.n_ghosts, c='red', alpha=0.5)
-                ax.axvline(NZ//size*(r), c='blue', alpha=0.5)
-            elif r == (size-1):
-                ax.axvline(NZ//size*(r+1), c='red', alpha=0.5)
-                ax.axvline(NZ//size*(r)-grid.n_ghosts, c='blue', alpha=0.5)
-            else: #outside subdomains
-                ax.axvline(NZ//size*(r+1)+grid.n_ghosts, c='red', alpha=0.5)
-                ax.axvline(NZ//size*(r)-grid.n_ghosts, c='blue', alpha=0.5)
+                ax.axvline(NZ // size * (r + 1) + grid.n_ghosts, c="red", alpha=0.5)
+                ax.axvline(NZ // size * (r), c="blue", alpha=0.5)
+            elif r == (size - 1):
+                ax.axvline(NZ // size * (r + 1), c="red", alpha=0.5)
+                ax.axvline(NZ // size * (r) - grid.n_ghosts, c="blue", alpha=0.5)
+            else:  # outside subdomains
+                ax.axvline(NZ // size * (r + 1) + grid.n_ghosts, c="red", alpha=0.5)
+                ax.axvline(NZ // size * (r) - grid.n_ghosts, c="blue", alpha=0.5)
 
         fig.tight_layout()
-        fig.savefig(results_folder+name+'1d_'+str(n).zfill(4)+'.png')
+        fig.savefig(results_folder + name + "1d_" + str(n).zfill(4) + ".png")
 
         plt.clf()
         plt.close(fig)
 
-    def plot2D_field(field, name='E', n=None, results_folder='img/', vmin=None, vmax=None,):
+    def plot2D_field(
+        field,
+        name="E",
+        n=None,
+        results_folder="img/",
+        vmin=None,
+        vmax=None,
+    ):
         extent = (0, NZ, 0, Ny)
         if vmin is None:
             vmin = -field.max()
@@ -339,37 +413,69 @@ def plot2D_field(field, name='E', n=None, results_folder='img/', vmin=None, vmax
             vmax = field.max()
 
         fig, ax = plt.subplots()
-        im = ax.imshow(field, cmap='rainbow', extent=extent, vmin=vmin, vmax=vmax)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'{name} at timestep={n}')
-        ax.set_xlabel('z [id]')
-        ax.set_ylabel('y [id]')
-
-        #plot vertical lines at subdomain borders
+        im = ax.imshow(field, cmap="rainbow", extent=extent, vmin=vmin, vmax=vmax)
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"{name} at timestep={n}")
+        ax.set_xlabel("z [id]")
+        ax.set_ylabel("y [id]")
+
+        # plot vertical lines at subdomain borders
         if True:
             for r in range(size):
                 if r == 0:
-                    ax.axvline(NZ//size*(r+1)+grid.n_ghosts, c='red', alpha=0.5)
-                    ax.axvline(NZ//size*(r), c='blue', alpha=0.5)
-                elif r == (size-1):
-                    ax.axvline(NZ//size*(r+1), c='red', alpha=0.5)
-                    ax.axvline(NZ//size*(r)-grid.n_ghosts, c='blue', alpha=0.5)
-                else: #outside subdomains
-                    ax.axvline(NZ//size*(r+1)+grid.n_ghosts, c='red', alpha=0.5)
-                    ax.axvline(NZ//size*(r)-grid.n_ghosts, c='blue', alpha=0.5)
-                    
-        #plot fill rectangles for each subdomain
+                    ax.axvline(NZ // size * (r + 1) + grid.n_ghosts, c="red", alpha=0.5)
+                    ax.axvline(NZ // size * (r), c="blue", alpha=0.5)
+                elif r == (size - 1):
+                    ax.axvline(NZ // size * (r + 1), c="red", alpha=0.5)
+                    ax.axvline(NZ // size * (r) - grid.n_ghosts, c="blue", alpha=0.5)
+                else:  # outside subdomains
+                    ax.axvline(NZ // size * (r + 1) + grid.n_ghosts, c="red", alpha=0.5)
+                    ax.axvline(NZ // size * (r) - grid.n_ghosts, c="blue", alpha=0.5)
+
+        # plot fill rectangles for each subdomain
         if False:
             for r in range(size):
                 if r == 0:
-                    ax.axvspan(NZ//size*(r), NZ//size*(r+1)+grid.n_ghosts, color='darkorange', alpha=0.1)
-                elif r == (size-1):
-                    ax.axvspan(NZ//size*(r)-grid.n_ghosts, NZ//size*(r+1), color='darkorange', alpha=0.1)
-                else: #outside subdomains
-                    ax.axvspan(NZ//size*(r)-grid.n_ghosts, NZ//size*(r+1)+grid.n_ghosts, color='green', alpha=0.1)
+                    ax.axvspan(
+                        NZ // size * (r),
+                        NZ // size * (r + 1) + grid.n_ghosts,
+                        color="darkorange",
+                        alpha=0.1,
+                    )
+                elif r == (size - 1):
+                    ax.axvspan(
+                        NZ // size * (r) - grid.n_ghosts,
+                        NZ // size * (r + 1),
+                        color="darkorange",
+                        alpha=0.1,
+                    )
+                else:  # outside subdomains
+                    ax.axvspan(
+                        NZ // size * (r) - grid.n_ghosts,
+                        NZ // size * (r + 1) + grid.n_ghosts,
+                        color="green",
+                        alpha=0.1,
+                    )
 
         fig.tight_layout(h_pad=0.3)
-        fig.savefig(results_folder+name+'2d_'+str(n).zfill(4)+'.png')
+        fig.savefig(results_folder + name + "2d_" + str(n).zfill(4) + ".png")
 
         plt.clf()
-        plt.close(fig)
\ No newline at end of file
+        plt.close(fig)
+
+
+# --------------------- Extra -----------------------
+# # Check global material tensors
+if False:
+    ieps = solver.mpi_gather_asField(solver.ieps)
+    sigma = solver.mpi_gather(solver.sigma, "z", x=Nx // 2)
+    if rank == 0:
+        # Plot eps^-1 tensor
+        fig, ax = ieps.inspect(figsize=[20, 6], plane="YZ", show=False, handles=True)
+        fig.savefig(img_folder + "ieps_inspect.png")
+        plt.close(fig)
+
+        # Plot
+        plot2D_field(sigma, "sigmaz_", results_folder=img_folder)
diff --git a/examples/005_CPU_with_field_monitor.py b/examples/005_CPU_with_field_monitor.py
index 3e085c3..4d4b64f 100644
--- a/examples/005_CPU_with_field_monitor.py
+++ b/examples/005_CPU_with_field_monitor.py
@@ -15,16 +15,15 @@
 # ---------- Domain setup ---------
 
 # Geometry & Materials
-solid_1 = '../examples/data/001_vacuum_cavity.stl'
-solid_2 = '../examples/data/001_lossymetal_shell.stl'
+solid_1 = "../examples/data/001_vacuum_cavity.stl"
+solid_2 = "../examples/data/001_lossymetal_shell.stl"
 
-stl_solids = {'cavity': solid_1,
-              'shell': solid_2
-              }
+stl_solids = {"cavity": solid_1, "shell": solid_2}
 
-stl_materials = {'cavity': 'vacuum',
-                 'shell': [30, 1.0, 30]  # [eps_r, mu_r, sigma[S/m]]
-                 }
+stl_materials = {
+    "cavity": "vacuum",
+    "shell": [30, 1.0, 30],  # [eps_r, mu_r, sigma[S/m]]
+}
 
 
 # Extract domain bounds from geometry
@@ -37,14 +36,23 @@
 Nz = 141
 
 # set grid and geometry
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax,
-                 Nx, Ny, Nz,
-                 stl_solids=stl_solids,
-                 stl_materials=stl_materials,
-                 stl_scale=1.0,
-                 stl_rotate=[0, 0, 0],
-                 stl_translate=[0, 0, 0],
-                 verbose=1)
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_materials=stl_materials,
+    stl_scale=1.0,
+    stl_rotate=[0, 0, 0],
+    stl_translate=[0, 0, 0],
+    verbose=1,
+)
 
 
 # ------------ Beam source & Wake ----------------
@@ -52,67 +60,81 @@
 sigmaz = 10e-2  # [m] -> 2 GHz
 q = 1e-9  # [C]
 beta = 1.0  # beam beta
-xs = 0.  # x source position [m]
-ys = 0.  # y source position [m]
-xt = 0.  # x test position [m]
-yt = 0.  # y test position [m]
+xs = 0.0  # x source position [m]
+ys = 0.0  # y source position [m]
+xt = 0.0  # x test position [m]
+yt = 0.0  # y test position [m]
 # [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]
 
 # Simualtion
-wakelength = 10.  # [m]
+wakelength = 10.0  # [m]
 add_space = 10  # no. cells to skip from boundaries - removes BC artifacts
 
-wake = WakeSolver(q=q,
-                  sigmaz=sigmaz,
-                  beta=beta,
-                  xsource=xs, ysource=ys,
-                  xtest=xt, ytest=yt,
-                  add_space=add_space,
-                  results_folder='005_results/',
-                  Ez_file='005_results/005_Ez.h5')
+wake = WakeSolver(
+    q=q,
+    sigmaz=sigmaz,
+    beta=beta,
+    xsource=xs,
+    ysource=ys,
+    xtest=xt,
+    ytest=yt,
+    add_space=add_space,
+    results_folder="005_results/",
+    Ez_file="005_results/005_Ez.h5",
+)
 
 # ----------- Solver & Simulation ----------
 # boundary conditions``
-bc_low = ['pec', 'pec', 'pec']
-bc_high = ['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
 
 # Solver setup
-solver = SolverFIT3D(grid, wake,
-                     bc_low=bc_low,
-                     bc_high=bc_high,
-                     use_stl=True,
-                     bg='pec'  # Background material
-                     )
+solver = SolverFIT3D(
+    grid,
+    wake,
+    bc_low=bc_low,
+    bc_high=bc_high,
+    use_stl=True,
+    bg="pec",  # Background material
+)
 
 # CREATE field monitor
-monitor = FieldMonitor(frequencies=[0.549e9]) # we assume we already found the fundamental mode frequency
+monitor = FieldMonitor(
+    frequencies=[0.549e9]
+)  # we assume we already found the fundamental mode frequency
 
 # Solver run
-solver.wakesolve(wakelength=wakelength,
-                 add_space=add_space,
-                 plot=True,  # turn False for speedup
-                 plot_every=30, plot_until=3000,
-                 use_field_monitor=True, # argument for if to use field monitor
-                 field_monitor=monitor # add field monitor
-                 )
-
-results_folder = '005_results/'
+solver.wakesolve(
+    wakelength=wakelength,
+    add_space=add_space,
+    plot=True,  # turn False for speedup
+    plot_every=30,
+    plot_until=3000,
+    use_field_monitor=True,  # argument for if to use field monitor
+    field_monitor=monitor,  # add field monitor
+)
+
+results_folder = "005_results/"
 if not os.path.exists(results_folder):
     os.mkdir(results_folder)
 
 freq_field = monitor.get_components()
-np.savez('./005_results/field_at_frequencies.npz', Ex=freq_field['Ex'], Ey=freq_field['Ey'], Ez=freq_field['Ez'])
+np.savez(
+    "./005_results/field_at_frequencies.npz",
+    Ex=freq_field["Ex"],
+    Ey=freq_field["Ey"],
+    Ez=freq_field["Ez"],
+)
 
-Ez = freq_field['Ez'][0]# Z field at the first frequency (only frequency in our case)
-Ez_flat = np.reshape(Ez, solver.N) #
+Ez = freq_field["Ez"][0]  # Z field at the first frequency (only frequency in our case)
+Ez_flat = np.reshape(Ez, solver.N)  #
 
 
-solver.grid.grid.cell_data['Ez_mag'] = np.real(Ez_flat)
+solver.grid.grid.cell_data["Ez_mag"] = np.real(Ez_flat)
 # interactive slice
 pl = pv.Plotter()
-pl.add_mesh_clip_plane(solver.grid.grid, scalars='Ez_mag', cmap='inferno', show_scalar_bar=True)
+pl.add_mesh_clip_plane(
+    solver.grid.grid, scalars="Ez_mag", cmap="inferno", show_scalar_bar=True
+)
 pl.show()
-
-
-
diff --git a/examples/006_CPU_counter_moving_field_monitor.py b/examples/006_CPU_counter_moving_field_monitor.py
index d0ea775..477a070 100644
--- a/examples/006_CPU_counter_moving_field_monitor.py
+++ b/examples/006_CPU_counter_moving_field_monitor.py
@@ -13,23 +13,22 @@
 from wakis.field_monitors import FieldMonitor
 
 
-
 # ---------- Geometry Parameters (in mm) ----------
 rc = 100e-3  # Cavity radius
-rp = 10e-3     # Beam pipe radius
-L = 60e-3     # Cavity lengt# #
-l = 10e-3    # Beam pipe length
-shell_thickness = 1e-3 # Shell thickness (e.g., 5 mm metal wall)
+rp = 10e-3  # Beam pipe radius
+L = 60e-3  # Cavity lengt# #
+l_pipe = 10e-3  # Beam pipe length
+shell_thickness = 1e-3  # Shell thickness (e.g., 5 mm metal wall)
 extra_shell = 1e-3
 
 cavity = trimesh.creation.cylinder(radius=rc, height=L, sections=128)
 
 
-pipe_left = trimesh.creation.cylinder(radius=rp, height=l, sections=128)
-pipe_left.apply_translation([0, 0, -L / 2 - l / 2])
+pipe_left = trimesh.creation.cylinder(radius=rp, height=l_pipe, sections=128)
+pipe_left.apply_translation([0, 0, -L / 2 - l_pipe / 2])
 
-pipe_right = trimesh.creation.cylinder(radius=rp, height=l, sections=128)
-pipe_right.apply_translation([0, 0, L / 2 + l / 2])
+pipe_right = trimesh.creation.cylinder(radius=rp, height=l_pipe, sections=128)
+pipe_right.apply_translation([0, 0, L / 2 + l_pipe / 2])
 
 # Combine into one vacuum structure
 solid_cavity = trimesh.util.concatenate([pipe_left, cavity, pipe_right])
@@ -39,42 +38,60 @@
 rc_outer = rc + shell_thickness
 rp_outer = rp + shell_thickness
 
-shell_cavity = trimesh.creation.cylinder(radius=rc_outer, height=L+shell_thickness*2, sections=128)
-shell_cavity = trimesh.boolean.difference([shell_cavity, cavity], engine='manifold')
-shell_hole = trimesh.creation.cylinder(radius=rp_outer, height=L + shell_thickness*2, sections=128)
-shell_cavity = trimesh.boolean.difference([shell_cavity, shell_hole], engine='manifold')
+shell_cavity = trimesh.creation.cylinder(
+    radius=rc_outer, height=L + shell_thickness * 2, sections=128
+)
+shell_cavity = trimesh.boolean.difference([shell_cavity, cavity], engine="manifold")
+shell_hole = trimesh.creation.cylinder(
+    radius=rp_outer, height=L + shell_thickness * 2, sections=128
+)
+shell_cavity = trimesh.boolean.difference([shell_cavity, shell_hole], engine="manifold")
 
 
 # Hollow beam pipes (outer shell - inner hole)
-outer_pipe_left = trimesh.creation.cylinder(radius=rp_outer, height=l, sections=128)
-inner_pipe_left = trimesh.creation.cylinder(radius=rp, height=l + extra_shell, sections=128)
-
-hollow_pipe_left = trimesh.boolean.difference([outer_pipe_left, inner_pipe_left], engine='manifold')
-hollow_pipe_left.apply_translation([0, 0, -L / 2 - l / 2])
-
-outer_pipe_right = trimesh.creation.cylinder(radius=rp_outer, height=l, sections=128)
-inner_pipe_right = trimesh.creation.cylinder(radius=rp, height=l + extra_shell, sections=128)
-
-hollow_pipe_right = trimesh.boolean.difference([outer_pipe_right, inner_pipe_right], engine='manifold')
-hollow_pipe_right.apply_translation([0, 0, L / 2 + l / 2])
+outer_pipe_left = trimesh.creation.cylinder(
+    radius=rp_outer, height=l_pipe, sections=128
+)
+inner_pipe_left = trimesh.creation.cylinder(
+    radius=rp, height=l_pipe + extra_shell, sections=128
+)
+
+hollow_pipe_left = trimesh.boolean.difference(
+    [outer_pipe_left, inner_pipe_left], engine="manifold"
+)
+hollow_pipe_left.apply_translation([0, 0, -L / 2 - l_pipe / 2])
+
+outer_pipe_right = trimesh.creation.cylinder(
+    radius=rp_outer, height=l_pipe, sections=128
+)
+inner_pipe_right = trimesh.creation.cylinder(
+    radius=rp, height=l_pipe + extra_shell, sections=128
+)
+
+hollow_pipe_right = trimesh.boolean.difference(
+    [outer_pipe_right, inner_pipe_right], engine="manifold"
+)
+hollow_pipe_right.apply_translation([0, 0, L / 2 + l_pipe / 2])
 
 # Combine into one outer shell structure
-solid_shell = trimesh.util.concatenate([hollow_pipe_left, shell_cavity, hollow_pipe_right])
+solid_shell = trimesh.util.concatenate(
+    [hollow_pipe_left, shell_cavity, hollow_pipe_right]
+)
 
 
 # Save meshes as STL
-solid_cavity.export('./data/hollow_cavity.stl')
-solid_shell.export('./data/hollow_shell.stl')
+solid_cavity.export("./data/hollow_cavity.stl")
+solid_shell.export("./data/hollow_shell.stl")
 
 # Geometry & Materials
-solid_1 = './data/hollow_cavity.stl'
-solid_2 = './data/hollow_shell.stl'
-stl_solids = {'cavity': solid_1,
-              'shell': solid_2}
+solid_1 = "./data/hollow_cavity.stl"
+solid_2 = "./data/hollow_shell.stl"
+stl_solids = {"cavity": solid_1, "shell": solid_2}
 
-stl_materials = {'cavity': 'vacuum',
-                 'shell': [1e3, 1.0, 1e3]  # [eps_r, mu_r, sigma[S/m]]
-                 }
+stl_materials = {
+    "cavity": "vacuum",
+    "shell": [1e3, 1.0, 1e3],  # [eps_r, mu_r, sigma[S/m]]
+}
 
 # Extract domain bounds from geometry
 solids = pv.read(solid_1) + pv.read(solid_2)
@@ -86,115 +103,155 @@
 Nz = 41
 
 # set grid and geometry
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax,
-                 Nx, Ny, Nz,
-                 stl_solids=stl_solids,
-                 stl_materials=stl_materials,
-                 stl_scale=1,
-                 stl_rotate=[0, 0, 0],
-                 stl_translate=[0, 0, 0],
-                 verbose=1,
-                 stl_tol=1e-4)
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_materials=stl_materials,
+    stl_scale=1,
+    stl_rotate=[0, 0, 0],
+    stl_translate=[0, 0, 0],
+    verbose=1,
+    stl_tol=1e-4,
+)
 
 # ------------ Beam source & Wake ----------------
 # Beam parameters
 sigmaz = 20e-3  # [m] -> 2 GHz
 q = 4.5e-8  # [C]
 beta = 1.0  # beam beta
-xs = 0.  # x source position [m]
-ys = 0.  # y source position [m]
-xt = 0.  # x test position [m]
-yt = 0.  # y test position [m]
+xs = 0.0  # x source position [m]
+ys = 0.0  # y source position [m]
+xt = 0.0  # x test position [m]
+yt = 0.0  # y test position [m]
 
 # Simualtion
-wakelength = 100.  # [m]
+wakelength = 100.0  # [m]
 add_space = 10  # no. cells to skip from boundaries - removes BC artifacts
 
-wake = WakeSolver(q=q,
-                  sigmaz=sigmaz,
-                  beta=beta,
-                  xsource=xs, ysource=ys,
-                  xtest=xt, ytest=yt,
-                  add_space=add_space,
-                  counter_moving=True,
-                  results_folder='006_results/',
-                  Ez_file='006_results/006_Ez.h5')
+wake = WakeSolver(
+    q=q,
+    sigmaz=sigmaz,
+    beta=beta,
+    xsource=xs,
+    ysource=ys,
+    xtest=xt,
+    ytest=yt,
+    add_space=add_space,
+    counter_moving=True,
+    results_folder="006_results/",
+    Ez_file="006_results/006_Ez.h5",
+)
 
 # ----------- Solver & Simulation ----------
 # boundary conditions``
-bc_low = ['pec', 'pec', 'pec']
-bc_high = ['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
 
-frequencies = [1.14325797e+09, 2.60602907e+09, 3.55458372e+09, 4.06380779e+09, 4.70782647e+09]
+frequencies = [
+    1.14325797e09,
+    2.60602907e09,
+    3.55458372e09,
+    4.06380779e09,
+    4.70782647e09,
+]
 
 
-monitor = FieldMonitor(frequencies=frequencies) # we assume we already found the fundamental mode frequency
+monitor = FieldMonitor(
+    frequencies=frequencies
+)  # we assume we already found the fundamental mode frequency
 
 
 # Solver setup
-solver = SolverFIT3D(grid, wake,
-                     bc_low=bc_low,
-                     bc_high=bc_high,
-                     use_stl=True,
-                     bg='pec'  # Background material
-                     )
+solver = SolverFIT3D(
+    grid,
+    wake,
+    bc_low=bc_low,
+    bc_high=bc_high,
+    use_stl=True,
+    bg="pec",  # Background material
+)
 solver.ieps.inspect()
 
 # Solver run
-solver.wakesolve(wakelength=wakelength,
-                 add_space=add_space,
-                 plot=False,  # turn False for speedup
-                 plot_every=30, plot_until=3000,
-                 use_field_monitor=True,
-                 field_monitor=monitor
-                 )
+solver.wakesolve(
+    wakelength=wakelength,
+    add_space=add_space,
+    plot=False,  # turn False for speedup
+    plot_every=30,
+    plot_until=3000,
+    use_field_monitor=True,
+    field_monitor=monitor,
+)
 solver.ieps.inspect()
 
 freq_field = monitor.get_components()
-np.savez('./006_results/field_at_frequencies.npz', Ex=freq_field['Ex'], Ey=freq_field['Ey'], Ez=freq_field['Ez'])
-
-Ez = freq_field['Ez'][0] # Z field at the first frequency (only frequency in our case)
+np.savez(
+    "./006_results/field_at_frequencies.npz",
+    Ex=freq_field["Ex"],
+    Ey=freq_field["Ey"],
+    Ez=freq_field["Ez"],
+)
+
+Ez = freq_field["Ez"][0]  # Z field at the first frequency (only frequency in our case)
 Ez_flat = np.reshape(Ez, solver.N)
 
-solver.grid.grid.cell_data['Ez_mag'] = np.real(Ez_flat)
+solver.grid.grid.cell_data["Ez_mag"] = np.real(Ez_flat)
 # interactive slice
 pl = pv.Plotter()
-pl.add_mesh_clip_plane(solver.grid.grid, scalars='Ez_mag', cmap='inferno', show_scalar_bar=True)
+pl.add_mesh_clip_plane(
+    solver.grid.grid, scalars="Ez_mag", cmap="inferno", show_scalar_bar=True
+)
 pl.show()
 
-Ez = freq_field['Ez'][1] # Z field at the first frequency (only frequency in our case)
+Ez = freq_field["Ez"][1]  # Z field at the first frequency (only frequency in our case)
 Ez_flat = np.reshape(Ez, solver.N)
 
-solver.grid.grid.cell_data['Ez_mag'] = np.real(Ez_flat)
+solver.grid.grid.cell_data["Ez_mag"] = np.real(Ez_flat)
 # interactive slice
 pl = pv.Plotter()
-pl.add_mesh_clip_plane(solver.grid.grid, scalars='Ez_mag', cmap='inferno', show_scalar_bar=True)
+pl.add_mesh_clip_plane(
+    solver.grid.grid, scalars="Ez_mag", cmap="inferno", show_scalar_bar=True
+)
 pl.show()
 
-Ez = freq_field['Ez'][2] # Z field at the first frequency (only frequency in our case)
+Ez = freq_field["Ez"][2]  # Z field at the first frequency (only frequency in our case)
 Ez_flat = np.reshape(Ez, solver.N)
 
-solver.grid.grid.cell_data['Ez_mag'] = np.real(Ez_flat)
+solver.grid.grid.cell_data["Ez_mag"] = np.real(Ez_flat)
 # interactive slice
 pl = pv.Plotter()
-pl.add_mesh_clip_plane(solver.grid.grid, scalars='Ez_mag', cmap='inferno', show_scalar_bar=True)
+pl.add_mesh_clip_plane(
+    solver.grid.grid, scalars="Ez_mag", cmap="inferno", show_scalar_bar=True
+)
 pl.show()
 
-Ez = freq_field['Ez'][3] # Z field at the first frequency (only frequency in our case)
+Ez = freq_field["Ez"][3]  # Z field at the first frequency (only frequency in our case)
 Ez_flat = np.reshape(Ez, solver.N)
 
-solver.grid.grid.cell_data['Ez_mag'] = np.real(Ez_flat)
+solver.grid.grid.cell_data["Ez_mag"] = np.real(Ez_flat)
 # interactive slice
 pl = pv.Plotter()
-pl.add_mesh_clip_plane(solver.grid.grid, scalars='Ez_mag', cmap='inferno', show_scalar_bar=True)
+pl.add_mesh_clip_plane(
+    solver.grid.grid, scalars="Ez_mag", cmap="inferno", show_scalar_bar=True
+)
 pl.show()
 
-Ez = freq_field['Ez'][4] # Z field at the first frequency (only frequency in our case)
+Ez = freq_field["Ez"][4]  # Z field at the first frequency (only frequency in our case)
 Ez_flat = np.reshape(Ez, solver.N)
 
-solver.grid.grid.cell_data['Ez_mag'] = np.real(Ez_flat)
+solver.grid.grid.cell_data["Ez_mag"] = np.real(Ez_flat)
 # interactive slice
 pl = pv.Plotter()
-pl.add_mesh_clip_plane(solver.grid.grid, scalars='Ez_mag', cmap='inferno', show_scalar_bar=True)
-pl.show()
\ No newline at end of file
+pl.add_mesh_clip_plane(
+    solver.grid.grid, scalars="Ez_mag", cmap="inferno", show_scalar_bar=True
+)
+pl.show()
diff --git a/examples/fdtd/script.py b/examples/fdtd/script.py
index 826407c..371e86a 100644
--- a/examples/fdtd/script.py
+++ b/examples/fdtd/script.py
@@ -1,15 +1,14 @@
 import numpy as np
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import c as c_light, mu_0 as mu_0
 import matplotlib.pyplot as plt
-from matplotlib import patches
 import os
 from tqdm import tqdm
 from solver2D import EMSolver2D
 from grid import Grid
-from conductors import OutRect, Plane, ConductorsAssembly, InCircle, OutCircle
+from conductors import OutRect, Plane, ConductorsAssembly, OutCircle
 from scipy.special import jv
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 100
 Nx = N
@@ -19,13 +18,13 @@
 
 dt = 0.01
 
-flag_i_inside = np.zeros(Nx + 2, 'bool')
-flag_j_inside = np.zeros(Ny + 2, 'bool')
+flag_i_inside = np.zeros(Nx + 2, "bool")
+flag_j_inside = np.zeros(Ny + 2, "bool")
 
-flag_in_conductors = np.zeros((Nx, Ny), dtype='bool')
+flag_in_conductors = np.zeros((Nx, Ny), dtype="bool")
 
-x_circ = 0.
-y_circ = 0.
+x_circ = 0.0
+y_circ = 0.0
 r_circ = 0.4
 xmin = -L / 2
 xmax = L / 2
@@ -33,8 +32,8 @@
 ymax = L / 2
 Lx = L - 4 * dx
 Ly = L - 4 * dy
-x_cent = 0.
-y_cent = 0.
+x_cent = 0.0
+y_cent = 0.0
 
 rect = OutRect(Lx, Ly, x_cent, y_cent)
 circ = OutCircle(r_circ, x_circ, y_circ)
@@ -42,11 +41,11 @@
 q_plane = dx / 5  # -dx/3+2*dx
 plane = Plane(m_plane, q_plane, tol=0)
 conductors = ConductorsAssembly([circ])
-sol_type = 'FDTD'
+sol_type = "FDTD"
 
 grid = Grid(xmin, xmax, ymin, ymax, Nx, Ny, conductors, sol_type)
-i_s = int(1 * Nx / 2.)
-j_s = int(1 * Ny / 2.)
+i_s = int(1 * Nx / 2.0)
+j_s = int(1 * Ny / 2.0)
 NCFL = 0.9
 solver = EMSolver2D(grid, sol_type, NCFL, i_s, j_s)
 
@@ -65,11 +64,11 @@
         Nborrow[ii, jj] = len(grid.borrowing[ii, jj])
         Nlend[ii, jj] = len(grid.lending[ii, jj])
 
-k = 8.5363/r_circ
+k = 8.5363 / r_circ
 for ii in range(Nx):
     for jj in range(Ny):
-        x = (ii+0.5)*dx + xmin
-        y = (jj+0.5)*dy + ymin
+        x = (ii + 0.5) * dx + xmin
+        y = (jj + 0.5) * dy + ymin
         if abs(x) > 1e-14:
             thetacane = np.arctan(np.divide(y, x))
             if x > 0 and y > 0:
@@ -81,15 +80,17 @@
             else:
                 theta = -thetacane
         else:
-            theta = np.pi/2
+            theta = np.pi / 2
         r = np.sqrt(np.square(x) + np.square(y))
-        if grid.flag_int_cell[ii,jj]:
-            solver.Hz[ii, jj] = jv(1, r*k)*np.cos(theta)*np.cos(0)  # -k*c_light*solver.dt/2)
+        if grid.flag_int_cell[ii, jj]:
+            solver.Hz[ii, jj] = (
+                jv(1, r * k) * np.cos(theta) * np.cos(0)
+            )  # -k*c_light*solver.dt/2)
 
 max_sol = solver.Hz
 
-t_f = 1.1*2*np.pi/(k*c_light)
-Nt = int(t_f/solver.dt)
+t_f = 1.1 * 2 * np.pi / (k * c_light)
+Nt = int(t_f / solver.dt)
 
 
 def gauss_space(x):
@@ -97,12 +98,14 @@ def gauss_space(x):
     return 1 / (sigma * np.sqrt(2 * np.pi)) * np.exp(-np.square(x) / (2 * sigma))
 
 
-kappa = 8.5363/r_circ
-w_t = c_light*kappa
-freq_t = w_t/(2*np.pi)
-per = 1/freq_t
+kappa = 8.5363 / r_circ
+w_t = c_light * kappa
+freq_t = w_t / (2 * np.pi)
+per = 1 / freq_t
 
-ramp = lambda tt: 0.5 * (1 - np.cos(np.pi * tt))
+
+def ramp(tt):
+    return 0.5 * (1 - np.cos(np.pi * tt))
 
 
 def modulation(tt, r_time):
@@ -117,7 +120,7 @@ def ramped_sine(tt, r_time):
 
 
 for t in tqdm(range(Nt)):
-    '''
+    """
     for ii in range(-6, 7):
         for jj in range(-6, 7):
             iii = solver.i_s + ii
@@ -133,24 +136,29 @@ def ramped_sine(tt, r_time):
 
             solver.Jx[iii, jjj] = amp
             #solver.Jy[iii, jjj] = amp
-    '''
+    """
 
     fig, axs = plt.subplots(1, 3, figsize=(16, 5))
     fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
-    im1 = axs[0].imshow(solver.Ex, cmap='jet', vmax=80, vmin=-80)  # ,extent=[0, L , 0, L ])
-    axs[0].set_xlabel('x [m]')
-    axs[0].set_ylabel('y [m]')
-    axs[0].set_title('Ex [V/m]')
-    fig.colorbar(im1, ax=axs[0], )
-    im1 = axs[1].imshow(solver.Ey, cmap='jet', vmax=150, vmin=-150)
-    axs[1].set_xlabel('x [m]')
-    axs[1].set_ylabel('y [m]')
-    axs[1].set_title('Ey [V/m]')
+    im1 = axs[0].imshow(
+        solver.Ex, cmap="jet", vmax=80, vmin=-80
+    )  # ,extent=[0, L , 0, L ])
+    axs[0].set_xlabel("x [m]")
+    axs[0].set_ylabel("y [m]")
+    axs[0].set_title("Ex [V/m]")
+    fig.colorbar(
+        im1,
+        ax=axs[0],
+    )
+    im1 = axs[1].imshow(solver.Ey, cmap="jet", vmax=150, vmin=-150)
+    axs[1].set_xlabel("x [m]")
+    axs[1].set_ylabel("y [m]")
+    axs[1].set_title("Ey [V/m]")
     fig.colorbar(im1, ax=axs[1])
-    im1 = axs[2].imshow(solver.Hz, cmap='jet' , vmax=0.5, vmin=-0.5)
-    axs[2].set_xlabel('x [m]')
-    axs[2].set_ylabel('y [m]')
-    axs[2].set_title('Hz [A/m]')
+    im1 = axs[2].imshow(solver.Hz, cmap="jet", vmax=0.5, vmin=-0.5)
+    axs[2].set_xlabel("x [m]")
+    axs[2].set_ylabel("y [m]")
+    axs[2].set_title("Hz [A/m]")
     fig.colorbar(im1, ax=axs[2])
     plt.suptitle(str(solver.time))
     # im1 = axs[1,0].imshow(Hx.T,cmap='jet',origin='lower')#,extent=[0, L , 0, L ])
@@ -168,11 +176,11 @@ def ramped_sine(tt, r_time):
     # axs[1,2].set_ylabel('y [m]')
     # axs[1,2].set_title('Ez [V/m]')
     # fig.colorbar(im1, ax=axs[1,2])
-    folder = 'CFDTD_images'
+    folder = "CFDTD_images"
     if not os.path.exists(folder):
         os.mkdir(folder)
 
-    filename = folder + '/%d.png' % t
+    filename = folder + "/%d.png" % t
     plt.savefig(filename)
     plt.close(fig)
 
@@ -183,8 +191,8 @@ def ramped_sine(tt, r_time):
 
 for ii in range(Nx + 1):
     for jj in range(Ny + 1):
-        x = (ii+0.5)*dx + xmin
-        y = (jj+0.5)*dy + ymin
+        x = (ii + 0.5) * dx + xmin
+        y = (jj + 0.5) * dy + ymin
         if abs(x) > 1e-14:
             thetacane = np.arctan(np.divide(y, x))
             if x > 0 and y > 0:
@@ -196,9 +204,9 @@ def ramped_sine(tt, r_time):
             else:
                 theta = -thetacane
         else:
-            theta = np.pi/2
+            theta = np.pi / 2
         r = np.sqrt(np.square(x) + np.square(y))
-        sol[ii, jj] = jv(1, r * k) * np.cos(theta) * np.cos(-k*c_light*solver.time)
+        sol[ii, jj] = jv(1, r * k) * np.cos(theta) * np.cos(-k * c_light * solver.time)
 
-err = np.linalg.norm(solver.Hz - sol)*dx*dy/np.linalg.norm(max_sol)
+err = np.linalg.norm(solver.Hz - sol) * dx * dy / np.linalg.norm(max_sol)
 print(err)
diff --git a/examples/fdtd/script_circ_cav.py b/examples/fdtd/script_circ_cav.py
index 03079d2..010965a 100644
--- a/examples/fdtd/script_circ_cav.py
+++ b/examples/fdtd/script_circ_cav.py
@@ -1,15 +1,14 @@
 import numpy as np
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import c as c_light, mu_0 as mu_0
 import matplotlib.pyplot as plt
-from matplotlib import patches
 import os
 from tqdm import tqdm
 from solver2D import EMSolver2D
 from grid2D import Grid2D
-from conductors import OutRect, Plane, ConductorsAssembly, InCircle, OutCircle
+from conductors import OutRect, Plane, ConductorsAssembly, OutCircle
 from scipy.special import jv
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 50
 Nx = N
@@ -19,13 +18,13 @@
 
 dt = 0.01
 
-flag_i_inside = np.zeros(Nx + 2, 'bool')
-flag_j_inside = np.zeros(Ny + 2, 'bool')
+flag_i_inside = np.zeros(Nx + 2, "bool")
+flag_j_inside = np.zeros(Ny + 2, "bool")
 
-flag_in_conductors = np.zeros((Nx, Ny), dtype='bool')
+flag_in_conductors = np.zeros((Nx, Ny), dtype="bool")
 
-x_circ = 0.
-y_circ = 0.
+x_circ = 0.0
+y_circ = 0.0
 r_circ = 0.4
 xmin = -L / 2
 xmax = L / 2
@@ -33,8 +32,8 @@
 ymax = L / 2
 Lx = L - 4 * dx
 Ly = L - 4 * dy
-x_cent = 0.
-y_cent = 0.
+x_cent = 0.0
+y_cent = 0.0
 
 rect = OutRect(Lx, Ly, x_cent, y_cent)
 circ = OutCircle(r_circ, x_circ, y_circ)
@@ -42,15 +41,15 @@
 q_plane = dx / 5  # -dx/3+2*dx
 plane = Plane(m_plane, q_plane, tol=0)
 conductors = ConductorsAssembly([circ])
-sol_type = 'ECT'
+sol_type = "ECT"
 
 grid = Grid2D(xmin, xmax, ymin, ymax, Nx, Ny, conductors, sol_type)
-i_s = int(1 * Nx / 2.)
-j_s = int(1 * Ny / 2.)
+i_s = int(1 * Nx / 2.0)
+j_s = int(1 * Ny / 2.0)
 NCFL = 0.99
 
-bc_low = ['dirichlet', 'dirichlet', 'dirichlet']
-bc_high = ['dirichlet', 'dirichlet', 'dirichlet']
+bc_low = ["dirichlet", "dirichlet", "dirichlet"]
+bc_high = ["dirichlet", "dirichlet", "dirichlet"]
 solver = EMSolver2D(grid, sol_type, NCFL, i_s, j_s, bc_low, bc_low)
 
 Nt = 5000
@@ -63,16 +62,16 @@
 Nborrow = np.zeros((Nx, Ny))
 Nlend = np.zeros((Nx, Ny))
 
-#for ii in range(Nx):
+# for ii in range(Nx):
 #    for jj in range(Ny):
 #        Nborrow[ii, jj] = len(grid.borrowing[ii, jj])
 #        Nlend[ii, jj] = len(grid.lending[ii, jj])
 
-k = 8.5363/r_circ
+k = 8.5363 / r_circ
 for ii in range(Nx):
     for jj in range(Ny):
-        x = (ii+0.5)*dx + xmin
-        y = (jj+0.5)*dy + ymin
+        x = (ii + 0.5) * dx + xmin
+        y = (jj + 0.5) * dy + ymin
         if abs(x) > 1e-14:
             thetacane = np.arctan(np.divide(y, x))
             if x > 0 and y > 0:
@@ -84,28 +83,33 @@
             else:
                 theta = -thetacane
         else:
-            theta = np.pi/2
+            theta = np.pi / 2
         r = np.sqrt(np.square(x) + np.square(y))
-        if grid.flag_int_cell[ii,jj]:
-            solver.Hz[ii, jj] = jv(1, r*k)*np.cos(theta)*np.cos(0)  # -k*c_light*solver.dt/2)
+        if grid.flag_int_cell[ii, jj]:
+            solver.Hz[ii, jj] = (
+                jv(1, r * k) * np.cos(theta) * np.cos(0)
+            )  # -k*c_light*solver.dt/2)
 
 max_sol = solver.Hz
 
-t_f = 1.1*2*np.pi/(k*c_light)
-Nt = int(t_f/solver.dt)
-#Nt = 0
+t_f = 1.1 * 2 * np.pi / (k * c_light)
+Nt = int(t_f / solver.dt)
+# Nt = 0
+
 
 def gauss_space(x):
     sigma = dx / 10
     return 1 / (sigma * np.sqrt(2 * np.pi)) * np.exp(-np.square(x) / (2 * sigma))
 
 
-kappa = 8.5363/r_circ
-w_t = c_light*kappa
-freq_t = w_t/(2*np.pi)
-per = 1/freq_t
+kappa = 8.5363 / r_circ
+w_t = c_light * kappa
+freq_t = w_t / (2 * np.pi)
+per = 1 / freq_t
+
 
-ramp = lambda tt: 0.5 * (1 - np.cos(np.pi * tt))
+def ramp(tt):
+    return 0.5 * (1 - np.cos(np.pi * tt))
 
 
 def modulation(tt, r_time):
@@ -120,7 +124,7 @@ def ramped_sine(tt, r_time):
 
 
 for t in tqdm(range(Nt)):
-    '''
+    """
     for ii in range(-6, 7):
         for jj in range(-6, 7):
             iii = solver.i_s + ii
@@ -136,24 +140,29 @@ def ramped_sine(tt, r_time):
 
             solver.Jx[iii, jjj] = amp
             #solver.Jy[iii, jjj] = amp
-    '''
+    """
 
     fig, axs = plt.subplots(1, 3, figsize=(16, 5))
     fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
-    im1 = axs[0].imshow(solver.Ex, cmap='jet', vmax=80, vmin=-80)  # ,extent=[0, L , 0, L ])
-    axs[0].set_xlabel('x [m]')
-    axs[0].set_ylabel('y [m]')
-    axs[0].set_title('Ex [V/m]')
-    fig.colorbar(im1, ax=axs[0], )
-    im1 = axs[1].imshow(solver.Ey, cmap='jet', vmax=150, vmin=-150)
-    axs[1].set_xlabel('x [m]')
-    axs[1].set_ylabel('y [m]')
-    axs[1].set_title('Ey [V/m]')
+    im1 = axs[0].imshow(
+        solver.Ex, cmap="jet", vmax=80, vmin=-80
+    )  # ,extent=[0, L , 0, L ])
+    axs[0].set_xlabel("x [m]")
+    axs[0].set_ylabel("y [m]")
+    axs[0].set_title("Ex [V/m]")
+    fig.colorbar(
+        im1,
+        ax=axs[0],
+    )
+    im1 = axs[1].imshow(solver.Ey, cmap="jet", vmax=150, vmin=-150)
+    axs[1].set_xlabel("x [m]")
+    axs[1].set_ylabel("y [m]")
+    axs[1].set_title("Ey [V/m]")
     fig.colorbar(im1, ax=axs[1])
-    im1 = axs[2].imshow(solver.Hz, cmap='jet' , vmax=0.5, vmin=-0.5)
-    axs[2].set_xlabel('x [m]')
-    axs[2].set_ylabel('y [m]')
-    axs[2].set_title('Hz [A/m]')
+    im1 = axs[2].imshow(solver.Hz, cmap="jet", vmax=0.5, vmin=-0.5)
+    axs[2].set_xlabel("x [m]")
+    axs[2].set_ylabel("y [m]")
+    axs[2].set_title("Hz [A/m]")
     fig.colorbar(im1, ax=axs[2])
     plt.suptitle(str(solver.time))
     # im1 = axs[1,0].imshow(Hx.T,cmap='jet',origin='lower')#,extent=[0, L , 0, L ])
@@ -171,11 +180,11 @@ def ramped_sine(tt, r_time):
     # axs[1,2].set_ylabel('y [m]')
     # axs[1,2].set_title('Ez [V/m]')
     # fig.colorbar(im1, ax=axs[1,2])
-    folder = 'CFDTD_images'
+    folder = "CFDTD_images"
     if not os.path.exists(folder):
         os.mkdir(folder)
 
-    filename = folder + '/%d.png' % t
+    filename = folder + "/%d.png" % t
     plt.savefig(filename)
     plt.close(fig)
 
@@ -186,8 +195,8 @@ def ramped_sine(tt, r_time):
 
 for ii in range(Nx + 1):
     for jj in range(Ny + 1):
-        x = (ii+0.5)*dx + xmin
-        y = (jj+0.5)*dy + ymin
+        x = (ii + 0.5) * dx + xmin
+        y = (jj + 0.5) * dy + ymin
         if abs(x) > 1e-14:
             thetacane = np.arctan(np.divide(y, x))
             if x > 0 and y > 0:
@@ -199,9 +208,9 @@ def ramped_sine(tt, r_time):
             else:
                 theta = -thetacane
         else:
-            theta = np.pi/2
+            theta = np.pi / 2
         r = np.sqrt(np.square(x) + np.square(y))
-        sol[ii, jj] = jv(1, r * k) * np.cos(theta) * np.cos(-k*c_light*solver.time)
+        sol[ii, jj] = jv(1, r * k) * np.cos(theta) * np.cos(-k * c_light * solver.time)
 
-err = np.linalg.norm(solver.Hz - sol)*dx*dy/np.linalg.norm(max_sol)
+err = np.linalg.norm(solver.Hz - sol) * dx * dy / np.linalg.norm(max_sol)
 print(err)
diff --git a/examples/fdtd/script_cube_cav.py b/examples/fdtd/script_cube_cav.py
index 855edef..ea73f71 100644
--- a/examples/fdtd/script_cube_cav.py
+++ b/examples/fdtd/script_cube_cav.py
@@ -1,19 +1,17 @@
 import numpy as np
 from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-import matplotlib
+
 # matplotlib.use('Agg')
 from matplotlib import pyplot as plt
-from matplotlib import patches
 import os
 from tqdm import tqdm
 from solver3D import EMSolver3D
 from grid3D import Grid3D
 from conductors3d import InCube, ConductorsAssembly, InSphere
-from scipy.special import jv
 
 Z0 = np.sqrt(mu_0 / eps_0)
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 50
 Nx = N
@@ -26,29 +24,29 @@
 dy = L / Ny
 dz = L / Nz
 
-LL = dx*3 - 0.3*dx
+LL = dx * 3 - 0.3 * dx
 
 r_circ = 0.3
-xmin = -Lx/2 + dx / 2
-xmax = Lx/2 + dx / 2
-ymin = - Ly/2 + dx / 2
-ymax = Ly/2 + dx / 2
-zmin = - Lz/2 + dx / 2
-zmax = Lz/2 + dx / 2
-
-lx = Lx*0.4
-ly = Ly*0.4
-lz = Lz*0.4
+xmin = -Lx / 2 + dx / 2
+xmax = Lx / 2 + dx / 2
+ymin = -Ly / 2 + dx / 2
+ymax = Ly / 2 + dx / 2
+zmin = -Lz / 2 + dx / 2
+zmax = Lz / 2 + dx / 2
+
+lx = Lx * 0.4
+ly = Ly * 0.4
+lz = Lz * 0.4
 x_cent = 0
 y_cent = 0
 z_cent = 0
 
 cube = InCube(lx, ly, lz, x_cent, y_cent, z_cent)
-theta = np.pi/8
+theta = np.pi / 8
 sphere = InSphere(r_circ, x_cent, y_cent, z_cent)
 conductors = ConductorsAssembly([cube])
 # conductors = cube
-sol_type = 'FDTD'
+sol_type = "FDTD"
 
 grid = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, sol_type)
 i_s = int(Nx / 2)
@@ -76,7 +74,7 @@
 Nlend = np.zeros((Nx, Ny))
 minpatch = np.ones((Nx, Ny))
 small_patch = np.ones((Nx, Ny), dtype=bool)
-'''
+"""
 Nborrow = np.zeros((Nx, Ny, Nz))
 Nlend = np.zeros((Nx, Ny, Nz))
 
@@ -85,39 +83,75 @@
         for kk in range(Nz):
             Nborrow[ii, jj, kk] = len(grid.borrowing_xy[ii, jj, kk])
             Nlend[ii, jj, kk] = len(grid.lending_xy[ii, jj, kk])
-'''
+"""
 m = 1
 n = 0
 p = 1
 
 
 def analytic_sol_Hz(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
 
-    return np.cos(m * np.pi / lx * (x_0 - lx/2)) * np.cos(n * np.pi / ly * (y_0 - ly/2)) * np.sin(
-        p * np.pi / lz * (z_0 - lz/2)) * np.cos(np.sqrt(2) * np.pi / lx * c_light * t)
+    return (
+        np.cos(m * np.pi / lx * (x_0 - lx / 2))
+        * np.cos(n * np.pi / ly * (y_0 - ly / 2))
+        * np.sin(p * np.pi / lz * (z_0 - lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / lx * c_light * t)
+    )
 
 
 h_2 = (m * np.pi / lx) ** 2 + (n * np.pi / ly) ** 2 + (p * np.pi / lz) ** 2
 
 
 def analytic_sol_Hy(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
-    return -2 / h_2 * (n * np.pi / ly) * (p * np.pi / lz) * np.cos(m * np.pi / lx * (x_0 - lx/2)) * np.sin(
-        n * np.pi / ly * (y_0 - ly/2)) * np.cos(p * np.pi / lz * (z_0 - lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (n * np.pi / ly)
+        * (p * np.pi / lz)
+        * np.cos(m * np.pi / lx * (x_0 - lx / 2))
+        * np.sin(n * np.pi / ly * (y_0 - ly / 2))
+        * np.cos(p * np.pi / lz * (z_0 - lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / lx * c_light * t)
+    )
     # return -0.9994120256621584*np.cos(m*np.pi/lx*(x_0 + lx/2))*np.sin(n*np.pi/ly*(y_0 + ly/2))*np.cos(p*np.pi/lz*(z_0 + lz/2))*np.cos(np.sqrt(2)*np.pi/lx*c_light*t)
 
 
 def analytic_sol_Hx(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
 
-    return -2 / h_2 * (m * np.pi / lx) * (p * np.pi / lz) * np.sin(m * np.pi / lx * (x_0 - lx/2)) * np.cos(
-        n * np.pi / ly * (y_0 - ly/2)) * np.cos(p * np.pi / lz * (z_0 - lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (m * np.pi / lx)
+        * (p * np.pi / lz)
+        * np.sin(m * np.pi / lx * (x_0 - lx / 2))
+        * np.cos(n * np.pi / ly * (y_0 - ly / 2))
+        * np.cos(p * np.pi / lz * (z_0 - lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / lx * c_light * t)
+    )
 
 
 k = 2.7437 / r_circ
@@ -125,7 +159,9 @@ def analytic_sol_Hx(x, y, z, t):
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
-            if grid.flag_int_cell_xy[ii, jj, kk]:  # and not grid.flag_bound_cell_xy[ii, jj, kk]:
+            if grid.flag_int_cell_xy[
+                ii, jj, kk
+            ]:  # and not grid.flag_bound_cell_xy[ii, jj, kk]:
                 x = (ii + 0.5) * dx + xmin
                 y = (jj + 0.5) * dy + ymin
                 z = kk * dz + zmin
@@ -138,15 +174,15 @@ def analytic_sol_Hx(x, y, z, t):
                 solver.Hy[ii, jj, kk] = analytic_sol_Hy(x, y, z, -0.5 * solver.dt)
 
             if grid.flag_int_cell_yz[ii, jj, kk]:
-                x = ii*dx + xmin
-                y = (jj + 0.5)*dy + ymin
-                z = (kk + 0.5)*dz + zmin
+                x = ii * dx + xmin
+                y = (jj + 0.5) * dy + ymin
+                z = (kk + 0.5) * dz + zmin
                 solver.Hx[ii, jj, kk] = analytic_sol_Hx(x, y, z, -0.5 * solver.dt)
 
 
-a = lx*np.sqrt(2)/3
-Tf = 1.1*np.sqrt(2)*(a/c_light)
-Nt = int(Tf/solver.dt)
+a = lx * np.sqrt(2) / 3
+Tf = 1.1 * np.sqrt(2) * (a / c_light)
+Nt = int(Tf / solver.dt)
 
 res_Hy = np.zeros(Nt)
 res_Ex = np.zeros(Nt)
@@ -158,62 +194,82 @@ def analytic_sol_Hx(x, y, z, t):
     if fields_norms:
         fig, axs = plt.subplots(1, 2, figsize=(16, 8))
         fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
-        norme = np.sqrt(np.square(solver.Ex[:, :, k_s]) + np.square(solver.Ey[:, :, k_s]) + np.square(solver.Ez[:, :, k_s]))
-        normh = np.sqrt(np.square(solver.Hx[:, :, k_s]) + np.square(solver.Hy[:, :, k_s]) + np.square(solver.Hz[:, :, k_s]))
-
-        im1 = axs[0].imshow(norme, cmap='jet', vmax=530, vmin=-530)  # ,extent=[0, L , 0, L ])
-        axs[0].set_xlabel('x [m]')
-        axs[0].set_ylabel('y [m]')
-        axs[0].set_title('||E|| [V/m]')
+        norme = np.sqrt(
+            np.square(solver.Ex[:, :, k_s])
+            + np.square(solver.Ey[:, :, k_s])
+            + np.square(solver.Ez[:, :, k_s])
+        )
+        normh = np.sqrt(
+            np.square(solver.Hx[:, :, k_s])
+            + np.square(solver.Hy[:, :, k_s])
+            + np.square(solver.Hz[:, :, k_s])
+        )
+
+        im1 = axs[0].imshow(
+            norme, cmap="jet", vmax=530, vmin=-530
+        )  # ,extent=[0, L , 0, L ])
+        axs[0].set_xlabel("x [m]")
+        axs[0].set_ylabel("y [m]")
+        axs[0].set_title("||E|| [V/m]")
         fig.colorbar(im1, ax=axs[0])
-        im1 = axs[1].imshow(normh, cmap='jet', vmax=1, vmin=-1)
-        axs[1].set_xlabel('x [m]')
-        axs[1].set_ylabel('y [m]')
-        axs[1].set_title('||H|| [V/m]')
+        im1 = axs[1].imshow(normh, cmap="jet", vmax=1, vmin=-1)
+        axs[1].set_xlabel("x [m]")
+        axs[1].set_ylabel("y [m]")
+        axs[1].set_title("||H|| [V/m]")
         fig.colorbar(im1, ax=axs[1])
     else:
         fig, axs = plt.subplots(2, 3, figsize=(16, 10))
         fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
 
-        im1 = axs[0, 0].imshow(solver.Ex[:, :, k_s], cmap='jet', vmax=530, vmin=-530)  # ,extent=[0, L , 0, L ])
-        axs[0, 0].set_xlabel('x [m]')
-        axs[0, 0].set_ylabel('y [m]')
-        axs[0, 0].set_title('Ex [V/m]')
-        fig.colorbar(im1, ax=axs[0, 0], )
-        im1 = axs[0, 1].imshow(solver.Ey[:, :, k_s], cmap='jet', vmax=530, vmin=-530)
-        axs[0, 1].set_xlabel('x [m]')
-        axs[0, 1].set_ylabel('y [m]')
-        axs[0, 1].set_title('Ey [V/m]')
+        im1 = axs[0, 0].imshow(
+            solver.Ex[:, :, k_s], cmap="jet", vmax=530, vmin=-530
+        )  # ,extent=[0, L , 0, L ])
+        axs[0, 0].set_xlabel("x [m]")
+        axs[0, 0].set_ylabel("y [m]")
+        axs[0, 0].set_title("Ex [V/m]")
+        fig.colorbar(
+            im1,
+            ax=axs[0, 0],
+        )
+        im1 = axs[0, 1].imshow(solver.Ey[:, :, k_s], cmap="jet", vmax=530, vmin=-530)
+        axs[0, 1].set_xlabel("x [m]")
+        axs[0, 1].set_ylabel("y [m]")
+        axs[0, 1].set_title("Ey [V/m]")
         fig.colorbar(im1, ax=axs[0, 1])
-        im1 = axs[0, 2].imshow(solver.Ez[:, :, k_s], cmap='jet', vmax=530, vmin=-530)
-        axs[0, 2].set_xlabel('x [m]')
-        axs[0, 2].set_ylabel('y [m]')
-        axs[0, 2].set_title('Ez [V/m]')
+        im1 = axs[0, 2].imshow(solver.Ez[:, :, k_s], cmap="jet", vmax=530, vmin=-530)
+        axs[0, 2].set_xlabel("x [m]")
+        axs[0, 2].set_ylabel("y [m]")
+        axs[0, 2].set_title("Ez [V/m]")
         fig.colorbar(im1, ax=axs[0, 2])
-        im1 = axs[1, 0].imshow(solver.Hx[:, :, k_s], cmap='jet', vmax=0.1, vmin=-0.1)  # ,extent=[0, L , 0, L ])
-        axs[1, 0].set_xlabel('x [m]')
-        axs[1, 0].set_ylabel('y [m]')
-        axs[1, 0].set_title('Hx [A/m]')
-        fig.colorbar(im1, ax=axs[1, 0], )
-        im1 = axs[1, 1].imshow(solver.Hy[:, :, k_s], cmap='jet', vmax=0.17, vmin=-0.17)
-        axs[1, 1].set_xlabel('x [m]')
-        axs[1, 1].set_ylabel('y [m]')
-        axs[1, 1].set_title('Hy [A/m]')
+        im1 = axs[1, 0].imshow(
+            solver.Hx[:, :, k_s], cmap="jet", vmax=0.1, vmin=-0.1
+        )  # ,extent=[0, L , 0, L ])
+        axs[1, 0].set_xlabel("x [m]")
+        axs[1, 0].set_ylabel("y [m]")
+        axs[1, 0].set_title("Hx [A/m]")
+        fig.colorbar(
+            im1,
+            ax=axs[1, 0],
+        )
+        im1 = axs[1, 1].imshow(solver.Hy[:, :, k_s], cmap="jet", vmax=0.17, vmin=-0.17)
+        axs[1, 1].set_xlabel("x [m]")
+        axs[1, 1].set_ylabel("y [m]")
+        axs[1, 1].set_title("Hy [A/m]")
         fig.colorbar(im1, ax=axs[1, 1])
-        im1 = axs[1, 2].imshow(solver.Hz[:, :, k_s], cmap='jet', vmax=1, vmin=-1)
-        axs[1, 2].set_xlabel('x [m]')
-        axs[1, 2].set_ylabel('y [m]')
-        axs[1, 2].set_title('Hz [A/m]')
+        im1 = axs[1, 2].imshow(solver.Hz[:, :, k_s], cmap="jet", vmax=1, vmin=-1)
+        axs[1, 2].set_xlabel("x [m]")
+        axs[1, 2].set_ylabel("y [m]")
+        axs[1, 2].set_title("Hz [A/m]")
         fig.colorbar(im1, ax=axs[1, 2])
     plt.suptitle(str(solver.time))
-    
-    folder = sol_type + '_images_cube'
+
+    folder = sol_type + "_images_cube"
     if not os.path.exists(folder):
         os.mkdir(folder)
 
-    filename = folder + '/%d.png' % t
+    filename = folder + "/%d.png" % t
     plt.savefig(filename)
-    plt.close(fig) 
+    plt.close(fig)
 
     res_Hy[t] = solver.Hy[i_s, j_s, 5]
     res_Hz[t] = solver.Hz[i_s, 5, k_s]
@@ -223,7 +279,7 @@ def analytic_sol_Hx(x, y, z, t):
     # solver.Jx[i_s, j_s, k_s] = solver.gauss(solver.time)
     # solver.Hz[i_s, j_s, k_s] += solver.gauss(solver.time)
     # solver.Jz[i_s, j_s, k_s] = solver.gauss(solver.time)
-'''
+"""
 fig, axs = plt.subplots(2, 3, figsize=(16, 10))
 fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
 axs[0, 0].imshow(grid.flag_int_cell_xy[:, :, k_s])
@@ -232,4 +288,4 @@ def analytic_sol_Hx(x, y, z, t):
 axs[1, 0].imshow(solver.Hz[:, :, k_s], cmap='jet')
 axs[1, 1].imshow(solver.Hx[:, :, k_s], cmap='jet')
 axs[1, 2].imshow(solver.Hy[:, :, k_s], cmap='jet')
-'''
+"""
diff --git a/examples/fdtd/script_open_space.py b/examples/fdtd/script_open_space.py
index 4a5262e..73c4f45 100644
--- a/examples/fdtd/script_open_space.py
+++ b/examples/fdtd/script_open_space.py
@@ -1,54 +1,51 @@
 import numpy as np
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-import matplotlib
+from scipy.constants import epsilon_0 as eps_0, mu_0 as mu_0
+
 # matplotlib.use('Agg')
 from matplotlib import pyplot as plt
-from matplotlib import patches
 import os
 from tqdm import tqdm
 from solver3D import EMSolver3D
 from grid3D import Grid3D
 from conductors3d import ConductorsAssembly, InSphere
-from scipy.special import spherical_jn
 
 Z0 = np.sqrt(mu_0 / eps_0)
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 50
 Nx = N
 Ny = N
 Nz = N
-Lx = 0.5*L
-Ly = 0.5*L
-Lz = 0.5*L
+Lx = 0.5 * L
+Ly = 0.5 * L
+Lz = 0.5 * L
 dx = L / Nx
 dy = L / Ny
 dz = L / Nz
 
 N_radius = 5
-r_sphere = 0.15 #N_radius*dx
-xmin = -L / 2 # + dx / 2
-xmax = L / 2 #+ dx / 2
-ymin = -L / 2 #+ dy / 2
-ymax = L / 2 #+ dy / 2
-zmin = -L / 2 #+ dz / 2
-zmax = L / 2 #+ dz / 2
+r_sphere = 0.15  # N_radius*dx
+xmin = -L / 2  # + dx / 2
+xmax = L / 2  # + dx / 2
+ymin = -L / 2  # + dy / 2
+ymax = L / 2  # + dy / 2
+zmin = -L / 2  # + dz / 2
+zmax = L / 2  # + dz / 2
 
 x_cent = 0
 y_cent = 0
 z_cent = 0
 
 
-
 sphere = InSphere(r_sphere, x_cent, y_cent, z_cent)
 conductors = ConductorsAssembly([sphere])
 
-#cond = noConductor()
-#conductors = ConductorsAssembly([cond])
+# cond = noConductor()
+# conductors = ConductorsAssembly([cond])
 
 # conductors = cube
-sol_type = 'ECT'
+sol_type = "ECT"
 
 grid = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, sol_type)
 i_s = int(Nx / 4)
@@ -58,8 +55,8 @@
 
 flag_in_conductor = np.zeros((Nx, Ny, Nz), dtype=bool)
 
-bc_low = ['pml', 'pml', 'pml']
-bc_high = ['pml', 'pml', 'pml']
+bc_low = ["pml", "pml", "pml"]
+bc_high = ["pml", "pml", "pml"]
 solver = EMSolver3D(grid, sol_type, NCFL, i_s, j_s, k_s, bc_low, bc_high)
 
 # Constants
@@ -78,159 +75,162 @@
 res_Ex = np.zeros(Nt)
 res_Hz = np.zeros(Nt)
 
-Px = np.sqrt(2)/2
-Py = np.sqrt(2)/2
+Px = np.sqrt(2) / 2
+Py = np.sqrt(2) / 2
 
 fields_norms = False
 
+
 def get_field_x_plane(field_str, solver, i_cut):
     bc_low = solver.bc_low
     bc_high = solver.bc_high
 
-    if bc_low[1] is 'pml' and bc_low[2] is 'pml':
+    if bc_low[1] == "pml" and bc_low[2] == "pml":
         f00 = solver.blocks_mat[1, 0, 0].__getattribute__(field_str)[i_cut, :, :]
-    if bc_low[2] is 'pml':
+    if bc_low[2] == "pml":
         f10 = solver.blocks_mat[1, 1, 0].__getattribute__(field_str)[i_cut, :, :]
-    if bc_high[1] is 'pml' and bc_low[2] is 'pml':
+    if bc_high[1] == "pml" and bc_low[2] == "pml":
         f20 = solver.blocks_mat[1, 2, 0].__getattribute__(field_str)[i_cut, :, :]
-    if bc_low[1] is 'pml':
+    if bc_low[1] == "pml":
         f01 = solver.blocks_mat[1, 0, 1].__getattribute__(field_str)[i_cut, :, :]
 
     f11 = solver.__getattribute__(field_str)[i_cut, :, :]
 
-    if bc_high[1] is 'pml':
+    if bc_high[1] == "pml":
         f21 = solver.blocks_mat[1, 2, 1].__getattribute__(field_str)[i_cut, :, :]
-    if bc_low[1] is 'pml' and bc_high[2] is 'pml':
+    if bc_low[1] == "pml" and bc_high[2] == "pml":
         f02 = solver.blocks_mat[1, 0, 2].__getattribute__(field_str)[i_cut, :, :]
-    if bc_high[2] is 'pml':
+    if bc_high[2] == "pml":
         f12 = solver.blocks_mat[1, 1, 2].__getattribute__(field_str)[i_cut, :, :]
-    if bc_high[1] is 'pml' and bc_high[2] is 'pml':
+    if bc_high[1] == "pml" and bc_high[2] == "pml":
         f22 = solver.blocks_mat[1, 2, 2].__getattribute__(field_str)[i_cut, :, :]
 
     f = f11
 
-    if bc_low[1] is 'pml':
+    if bc_low[1] == "pml":
         f = np.concatenate((f01, f), axis=0)
-    if bc_high[1] is 'pml':
+    if bc_high[1] == "pml":
         f = np.concatenate((f, f21), axis=0)
 
-    if bc_low[2] is 'pml':
+    if bc_low[2] == "pml":
         f3 = f10
-        if bc_low[1] is 'pml':
+        if bc_low[1] == "pml":
             f3 = np.concatenate((f00, f3), axis=0)
-        if bc_high[1] is 'pml':
+        if bc_high[1] == "pml":
             f3 = np.concatenate((f3, f20), axis=0)
 
         f = np.concatenate((f3, f), axis=1)
 
-    if bc_high[2] is 'pml':
+    if bc_high[2] == "pml":
         f3 = f12
-        if bc_low[1] is 'pml':
+        if bc_low[1] == "pml":
             f3 = np.concatenate((f02, f3), axis=0)
-        if bc_high[1] is 'pml':
+        if bc_high[1] == "pml":
             f3 = np.concatenate((f3, f22), axis=0)
 
         f = np.concatenate((f, f3), axis=1)
 
     return f
 
+
 def get_field_y_plane(field_str, solver, j_cut):
     bc_low = solver.bc_low
     bc_high = solver.bc_high
 
-    if bc_low[0] is 'pml' and bc_low[2] is 'pml':
+    if bc_low[0] == "pml" and bc_low[2] == "pml":
         f00 = solver.blocks_mat[0, 1, 0].__getattribute__(field_str)[:, j_cut, :]
-    if bc_low[2] is 'pml':
+    if bc_low[2] == "pml":
         f10 = solver.blocks_mat[1, 1, 0].__getattribute__(field_str)[:, j_cut, :]
-    if bc_high[0] is 'pml' and bc_low[2] is 'pml':
+    if bc_high[0] == "pml" and bc_low[2] == "pml":
         f20 = solver.blocks_mat[2, 1, 0].__getattribute__(field_str)[:, j_cut, :]
-    if bc_low[0] is 'pml':
+    if bc_low[0] == "pml":
         f01 = solver.blocks_mat[0, 1, 1].__getattribute__(field_str)[:, j_cut, :]
 
     f11 = solver.__getattribute__(field_str)[:, j_cut, :]
 
-    if bc_high[0] is 'pml':
+    if bc_high[0] == "pml":
         f21 = solver.blocks_mat[2, 1, 1].__getattribute__(field_str)[:, j_cut, :]
-    if bc_low[0] is 'pml' and bc_high[2] is 'pml':
+    if bc_low[0] == "pml" and bc_high[2] == "pml":
         f02 = solver.blocks_mat[0, 1, 2].__getattribute__(field_str)[:, j_cut, :]
-    if bc_high[2] is 'pml':
+    if bc_high[2] == "pml":
         f12 = solver.blocks_mat[1, 1, 2].__getattribute__(field_str)[:, j_cut, :]
-    if bc_high[0] is 'pml' and bc_high[2] is 'pml':
+    if bc_high[0] == "pml" and bc_high[2] == "pml":
         f22 = solver.blocks_mat[2, 1, 2].__getattribute__(field_str)[:, j_cut, :]
 
     f = f11
 
-    if bc_low[0] is 'pml':
+    if bc_low[0] == "pml":
         f = np.concatenate((f01, f), axis=0)
-    if bc_high[0] is 'pml':
+    if bc_high[0] == "pml":
         f = np.concatenate((f, f21), axis=0)
 
-    if bc_low[2] is 'pml':
+    if bc_low[2] == "pml":
         f3 = f10
-        if bc_low[0] is 'pml':
+        if bc_low[0] == "pml":
             f3 = np.concatenate((f00, f3), axis=0)
-        if bc_high[0] is 'pml':
+        if bc_high[0] == "pml":
             f3 = np.concatenate((f3, f20), axis=0)
 
         f = np.concatenate((f3, f), axis=1)
 
-    if bc_high[2] is 'pml':
+    if bc_high[2] == "pml":
         f3 = f12
-        if bc_low[0] is 'pml':
+        if bc_low[0] == "pml":
             f3 = np.concatenate((f02, f3), axis=0)
-        if bc_high[0] is 'pml':
+        if bc_high[0] == "pml":
             f3 = np.concatenate((f3, f22), axis=0)
 
         f = np.concatenate((f, f3), axis=1)
 
     return f
 
-def get_field_z_plane(field_str, solver, k_cut, pml = False):
+
+def get_field_z_plane(field_str, solver, k_cut, pml=False):
     if pml:
         bc_low = solver.bc_low
         bc_high = solver.bc_high
 
-        if bc_low[0] is 'pml' and bc_low[1] is 'pml':
+        if bc_low[0] == "pml" and bc_low[1] == "pml":
             f00 = solver.blocks_mat[0, 0, 1].__getattribute__(field_str)[:, :, k_cut]
-        if bc_low[1] is 'pml':
+        if bc_low[1] == "pml":
             f10 = solver.blocks_mat[1, 0, 1].__getattribute__(field_str)[:, :, k_cut]
-        if bc_high[0] is 'pml' and bc_low[1] is 'pml':
+        if bc_high[0] == "pml" and bc_low[1] == "pml":
             f20 = solver.blocks_mat[2, 0, 1].__getattribute__(field_str)[:, :, k_cut]
-        if bc_low[0] is 'pml':
+        if bc_low[0] == "pml":
             f01 = solver.blocks_mat[0, 1, 1].__getattribute__(field_str)[:, :, k_cut]
 
         f11 = solver.__getattribute__(field_str)[:, :, k_cut]
 
-        if bc_high[0] is 'pml':
+        if bc_high[0] == "pml":
             f21 = solver.blocks_mat[2, 1, 1].__getattribute__(field_str)[:, :, k_cut]
-        if bc_low[0] is 'pml' and bc_high[1] is 'pml':
+        if bc_low[0] == "pml" and bc_high[1] == "pml":
             f02 = solver.blocks_mat[0, 2, 1].__getattribute__(field_str)[:, :, k_cut]
-        if bc_high[1] is 'pml':
+        if bc_high[1] == "pml":
             f12 = solver.blocks_mat[1, 2, 1].__getattribute__(field_str)[:, :, k_cut]
-        if bc_high[0] is 'pml' and bc_high[1] is 'pml':
+        if bc_high[0] == "pml" and bc_high[1] == "pml":
             f22 = solver.blocks_mat[2, 2, 1].__getattribute__(field_str)[:, :, k_cut]
 
         f = f11
 
-        if bc_low[0] is 'pml':
+        if bc_low[0] == "pml":
             f = np.concatenate((f01, f), axis=0)
-        if bc_high[0] is 'pml':
+        if bc_high[0] == "pml":
             f = np.concatenate((f, f21), axis=0)
 
-        if bc_low[1] is 'pml':
+        if bc_low[1] == "pml":
             f3 = f10
-            if bc_low[0] is 'pml':
+            if bc_low[0] == "pml":
                 f3 = np.concatenate((f00, f3), axis=0)
-            if bc_high[0] is 'pml':
+            if bc_high[0] == "pml":
                 f3 = np.concatenate((f3, f20), axis=0)
 
             f = np.concatenate((f3, f), axis=1)
 
-        if bc_high[1] is 'pml':
+        if bc_high[1] == "pml":
             f3 = f12
-            if bc_low[0] is 'pml':
+            if bc_low[0] == "pml":
                 f3 = np.concatenate((f02, f3), axis=0)
-            if bc_high[0] is 'pml':
+            if bc_high[0] == "pml":
                 f3 = np.concatenate((f3, f22), axis=0)
 
             f = np.concatenate((f, f3), axis=1)
@@ -240,115 +240,141 @@ def get_field_z_plane(field_str, solver, k_cut, pml = False):
     else:
         return solver.__getattribute__(field_str)[:, :, k_cut]
 
+
 get_field_plane = get_field_z_plane
 
 for t in tqdm(range(Nt)):
     if fields_norms:
         fig, axs = plt.subplots(1, 2, figsize=(16, 8))
         fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
-        norme = np.sqrt(np.square(solver.Ex[:, :, k_s]) + np.square(solver.Ey[:, :, k_s]) + np.square(solver.Ez[:, :, k_s]))
-        normh = np.sqrt(np.square(solver.Hx[:, :, k_s]) + np.square(solver.Hy[:, :, k_s]) + np.square(solver.Hz[:, :, k_s]))
-
-        im1 = axs[0].imshow(norme, cmap='jet', vmax=530, vmin=-530)  # ,extent=[0, L , 0, L ])
-        axs[0].set_xlabel('x [m]')
-        axs[0].set_ylabel('y [m]')
-        axs[0].set_title('||E|| [V/m]')
+        norme = np.sqrt(
+            np.square(solver.Ex[:, :, k_s])
+            + np.square(solver.Ey[:, :, k_s])
+            + np.square(solver.Ez[:, :, k_s])
+        )
+        normh = np.sqrt(
+            np.square(solver.Hx[:, :, k_s])
+            + np.square(solver.Hy[:, :, k_s])
+            + np.square(solver.Hz[:, :, k_s])
+        )
+
+        im1 = axs[0].imshow(
+            norme, cmap="jet", vmax=530, vmin=-530
+        )  # ,extent=[0, L , 0, L ])
+        axs[0].set_xlabel("x [m]")
+        axs[0].set_ylabel("y [m]")
+        axs[0].set_title("||E|| [V/m]")
         fig.colorbar(im1, ax=axs[0])
-        im1 = axs[1].imshow(normh, cmap='jet', vmax=1, vmin=-1)
-        axs[1].set_xlabel('x [m]')
-        axs[1].set_ylabel('y [m]')
-        axs[1].set_title('||H|| [V/m]')
+        im1 = axs[1].imshow(normh, cmap="jet", vmax=1, vmin=-1)
+        axs[1].set_xlabel("x [m]")
+        axs[1].set_ylabel("y [m]")
+        axs[1].set_title("||H|| [V/m]")
         fig.colorbar(im1, ax=axs[1])
     else:
         fig, axs = plt.subplots(2, 3, figsize=(16, 10))
         fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
-        #E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Ex, solver.blocks_mat[1, 1, 0].Ex, solver.blocks_mat[1, 2, 0].Ex), axis=1)
-        #E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Ex, solver.Ex, solver.blocks_mat[1, 2, 1].Ex), axis=1)
-        #E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Ex, solver.blocks_mat[1, 1, 2].Ex, solver.blocks_mat[1, 2, 2].Ex), axis=1)
-        #Ex = np.concatenate((E1, E2, E3), axis=2)
-        Ex = get_field_plane('Ex', solver, k_s)
-        im1 = axs[0, 0].imshow(Ex, cmap='jet', vmax=4, vmin=-4)    #, vmax=120, vmin=-120)  # ,extent=[0, L , 0, L ])
-        axs[0, 0].set_xlabel('x [m]')
-        axs[0, 0].set_ylabel('y [m]')
-        axs[0, 0].set_title('Ex [V/m]')
+        # E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Ex, solver.blocks_mat[1, 1, 0].Ex, solver.blocks_mat[1, 2, 0].Ex), axis=1)
+        # E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Ex, solver.Ex, solver.blocks_mat[1, 2, 1].Ex), axis=1)
+        # E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Ex, solver.blocks_mat[1, 1, 2].Ex, solver.blocks_mat[1, 2, 2].Ex), axis=1)
+        # Ex = np.concatenate((E1, E2, E3), axis=2)
+        Ex = get_field_plane("Ex", solver, k_s)
+        im1 = axs[0, 0].imshow(
+            Ex, cmap="jet", vmax=4, vmin=-4
+        )  # , vmax=120, vmin=-120)  # ,extent=[0, L , 0, L ])
+        axs[0, 0].set_xlabel("x [m]")
+        axs[0, 0].set_ylabel("y [m]")
+        axs[0, 0].set_title("Ex [V/m]")
         fig.colorbar(im1, ax=axs[0, 0])
-        #E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Ey, solver.blocks_mat[1, 1, 0].Ey, solver.blocks_mat[1, 2, 0].Ey), axis=1)
-        #E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Ey, solver.Ey, solver.blocks_mat[1, 2, 1].Ey), axis=1)
-        #E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Ey, solver.blocks_mat[1, 1, 2].Ey, solver.blocks_mat[1, 2, 2].Ey), axis=1)
-        #Ey = np.concatenate((E1, E2, E3), axis=2)
-        Ey = get_field_plane('Ey', solver, k_s)
-        im1 = axs[0, 1].imshow(Ey, cmap='jet', vmax=4, vmin=-4)    #, vmax=1e-5, vmin=-1e-5)
-        axs[0, 1].set_xlabel('x [m]')
-        axs[0, 1].set_ylabel('y [m]')
-        axs[0, 1].set_title('Ey [V/m]')
+        # E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Ey, solver.blocks_mat[1, 1, 0].Ey, solver.blocks_mat[1, 2, 0].Ey), axis=1)
+        # E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Ey, solver.Ey, solver.blocks_mat[1, 2, 1].Ey), axis=1)
+        # E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Ey, solver.blocks_mat[1, 1, 2].Ey, solver.blocks_mat[1, 2, 2].Ey), axis=1)
+        # Ey = np.concatenate((E1, E2, E3), axis=2)
+        Ey = get_field_plane("Ey", solver, k_s)
+        im1 = axs[0, 1].imshow(
+            Ey, cmap="jet", vmax=4, vmin=-4
+        )  # , vmax=1e-5, vmin=-1e-5)
+        axs[0, 1].set_xlabel("x [m]")
+        axs[0, 1].set_ylabel("y [m]")
+        axs[0, 1].set_title("Ey [V/m]")
         fig.colorbar(im1, ax=axs[0, 1])
-        #E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Ez, solver.blocks_mat[1, 1, 0].Ez, solver.blocks_mat[1, 2, 0].Ez), axis=1)
-        #E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Ez, solver.Ez, solver.blocks_mat[1, 2, 1].Ez), axis=1)
-        #E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Ez, solver.blocks_mat[1, 1, 2].Ez, solver.blocks_mat[1, 2, 2].Ez), axis=1)
-        #Ez = np.concatenate((E1, E2, E3), axis=2)
-        Ez = get_field_plane('Ez', solver, k_s)
-        im1 = axs[0, 2].imshow(Ez, cmap='jet', vmax=4, vmin=-4) #, vmax=5000, vmin=-5000)
-        axs[0, 2].set_xlabel('x [m]')
-        axs[0, 2].set_ylabel('y [m]')
-        axs[0, 2].set_title('Ez [V/m]')
+        # E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Ez, solver.blocks_mat[1, 1, 0].Ez, solver.blocks_mat[1, 2, 0].Ez), axis=1)
+        # E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Ez, solver.Ez, solver.blocks_mat[1, 2, 1].Ez), axis=1)
+        # E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Ez, solver.blocks_mat[1, 1, 2].Ez, solver.blocks_mat[1, 2, 2].Ez), axis=1)
+        # Ez = np.concatenate((E1, E2, E3), axis=2)
+        Ez = get_field_plane("Ez", solver, k_s)
+        im1 = axs[0, 2].imshow(
+            Ez, cmap="jet", vmax=4, vmin=-4
+        )  # , vmax=5000, vmin=-5000)
+        axs[0, 2].set_xlabel("x [m]")
+        axs[0, 2].set_ylabel("y [m]")
+        axs[0, 2].set_title("Ez [V/m]")
         fig.colorbar(im1, ax=axs[0, 2])
-        #E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Hx, solver.blocks_mat[1, 1, 0].Hx, solver.blocks_mat[1, 2, 0].Hx), axis=1)
-        #E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Hx, solver.Hx, solver.blocks_mat[1, 2, 1].Hx), axis=1)
-        #E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Hx, solver.blocks_mat[1, 1, 2].Hx, solver.blocks_mat[1, 2, 2].Hx), axis=1)
-        #Hx = np.concatenate((E1, E2, E3), axis=2)
-        Hx = get_field_plane('Hx', solver, k_s)
-        im1 = axs[1, 0].imshow(Hx, cmap='jet', vmax=0.01, vmin=-0.01)  # ,extent=[0, L , 0, L ])
-        axs[1, 0].set_xlabel('x [m]')
-        axs[1, 0].set_ylabel('y [m]')
-        axs[1, 0].set_title('Hx [A/m]')
-        #E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Hy, solver.blocks_mat[1, 1, 0].Hy, solver.blocks_mat[1, 2, 0].Hy), axis=1)
-        #E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Hy, solver.Hy, solver.blocks_mat[1, 2, 1].Hy), axis=1)
-        #E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Hy, solver.blocks_mat[1, 1, 2].Hy, solver.blocks_mat[1, 2, 2].Hy), axis=1)
-        #Hy = np.concatenate((E1, E2, E3), axis=2)
-        Hy = get_field_plane('Hy', solver, k_s)
-        fig.colorbar(im1, ax=axs[1, 0], )
-        im1 = axs[1, 1].imshow(Hy, cmap='jet', vmax=0.01, vmin=-0.01) #, vmax=0.35, vmin=-0.35)
-        axs[1, 1].set_xlabel('x [m]')
-        axs[1, 1].set_ylabel('y [m]')
-        axs[1, 1].set_title('Hy [A/m]')
+        # E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Hx, solver.blocks_mat[1, 1, 0].Hx, solver.blocks_mat[1, 2, 0].Hx), axis=1)
+        # E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Hx, solver.Hx, solver.blocks_mat[1, 2, 1].Hx), axis=1)
+        # E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Hx, solver.blocks_mat[1, 1, 2].Hx, solver.blocks_mat[1, 2, 2].Hx), axis=1)
+        # Hx = np.concatenate((E1, E2, E3), axis=2)
+        Hx = get_field_plane("Hx", solver, k_s)
+        im1 = axs[1, 0].imshow(
+            Hx, cmap="jet", vmax=0.01, vmin=-0.01
+        )  # ,extent=[0, L , 0, L ])
+        axs[1, 0].set_xlabel("x [m]")
+        axs[1, 0].set_ylabel("y [m]")
+        axs[1, 0].set_title("Hx [A/m]")
+        # E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Hy, solver.blocks_mat[1, 1, 0].Hy, solver.blocks_mat[1, 2, 0].Hy), axis=1)
+        # E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Hy, solver.Hy, solver.blocks_mat[1, 2, 1].Hy), axis=1)
+        # E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Hy, solver.blocks_mat[1, 1, 2].Hy, solver.blocks_mat[1, 2, 2].Hy), axis=1)
+        # Hy = np.concatenate((E1, E2, E3), axis=2)
+        Hy = get_field_plane("Hy", solver, k_s)
+        fig.colorbar(
+            im1,
+            ax=axs[1, 0],
+        )
+        im1 = axs[1, 1].imshow(
+            Hy, cmap="jet", vmax=0.01, vmin=-0.01
+        )  # , vmax=0.35, vmin=-0.35)
+        axs[1, 1].set_xlabel("x [m]")
+        axs[1, 1].set_ylabel("y [m]")
+        axs[1, 1].set_title("Hy [A/m]")
         fig.colorbar(im1, ax=axs[1, 1])
-        #E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Hz, solver.blocks_mat[1, 1, 0].Hz, solver.blocks_mat[1, 2, 0].Hz), axis=1)
-        #E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Hz, solver.Hz, solver.blocks_mat[1, 2, 1].Hz), axis=1)
-        #E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Hz, solver.blocks_mat[1, 1, 2].Hz, solver.blocks_mat[1, 2, 2].Hz), axis=1)
-        #Hz = np.concatenate((E1, E2, E3), axis=2)
-        Hz = get_field_plane('Hz', solver, k_s)
-        im1 = axs[1, 2].imshow(Hz, cmap='jet', vmax=0.01, vmin=-0.01)
-        axs[1, 2].set_xlabel('x [m]')
-        axs[1, 2].set_ylabel('y [m]')
-        axs[1, 2].set_title('Hz [A/m]')
+        # E1 = np.concatenate((solver.blocks_mat[1, 0, 0].Hz, solver.blocks_mat[1, 1, 0].Hz, solver.blocks_mat[1, 2, 0].Hz), axis=1)
+        # E2 = np.concatenate((solver.blocks_mat[1, 0, 1].Hz, solver.Hz, solver.blocks_mat[1, 2, 1].Hz), axis=1)
+        # E3 = np.concatenate((solver.blocks_mat[1, 0, 2].Hz, solver.blocks_mat[1, 1, 2].Hz, solver.blocks_mat[1, 2, 2].Hz), axis=1)
+        # Hz = np.concatenate((E1, E2, E3), axis=2)
+        Hz = get_field_plane("Hz", solver, k_s)
+        im1 = axs[1, 2].imshow(Hz, cmap="jet", vmax=0.01, vmin=-0.01)
+        axs[1, 2].set_xlabel("x [m]")
+        axs[1, 2].set_ylabel("y [m]")
+        axs[1, 2].set_title("Hz [A/m]")
         fig.colorbar(im1, ax=axs[1, 2])
     plt.suptitle(str(solver.time))
 
-    folder = sol_type + '_open_space'
+    folder = sol_type + "_open_space"
     if not os.path.exists(folder):
         os.mkdir(folder)
 
-    filename = folder + '/%d.png' % t
+    filename = folder + "/%d.png" % t
     plt.savefig(filename)
     plt.close(fig)
 
-    i_probe = int(Nx/2)
-    j_probe = int(Ny/2)
-    k_probe = int(Nz/2)
+    i_probe = int(Nx / 2)
+    j_probe = int(Ny / 2)
+    k_probe = int(Nz / 2)
     res_Hy[t] = solver.Hy[i_probe, j_probe, k_probe]
     res_Hz[t] = solver.Hz[i_probe, k_probe, k_probe]
     res_Ex[t] = solver.Ex[i_probe, j_probe, k_probe]
-    #print(solver.blocks_mat[1,1,2].Ex[0, 0, 0])
+    # print(solver.blocks_mat[1,1,2].Ex[0, 0, 0])
     solver.one_step()
     # solver.Jx[i_s, j_s, k_s] = solver.gauss(solver.time)
-    #solver.Ex[:, :, k_s] += Px*solver.gauss(solver.time)
-    #solver.Ey[:, :, k_s] += Py*solver.gauss(solver.time)
-    #solver.Hx[:, :, k_s] += -Py*np.sqrt(eps_0/mu_0)*solver.gauss(solver.time + solver.dt)
-    #solver.Hy[:, :, k_s] += Px*np.sqrt(eps_0/mu_0)*solver.gauss(solver.time + solver.dt)
-    solver.Hz[i_s, j_s, :] += np.sqrt(eps_0/mu_0)*solver.gauss(solver.time + solver.dt)
+    # solver.Ex[:, :, k_s] += Px*solver.gauss(solver.time)
+    # solver.Ey[:, :, k_s] += Py*solver.gauss(solver.time)
+    # solver.Hx[:, :, k_s] += -Py*np.sqrt(eps_0/mu_0)*solver.gauss(solver.time + solver.dt)
+    # solver.Hy[:, :, k_s] += Px*np.sqrt(eps_0/mu_0)*solver.gauss(solver.time + solver.dt)
+    solver.Hz[i_s, j_s, :] += np.sqrt(eps_0 / mu_0) * solver.gauss(
+        solver.time + solver.dt
+    )
     # solver.Hz[i_s, j_s, k_s] += solver.gauss(solver.time)
     # solver.Jz[i_s, j_s, k_s] = solver.gauss(solver.time)
-'''
+"""
 fig, axs = plt.subplots(2, 3, figsize=(16, 10))
 fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
 axs[0, 0].imshow(grid.flag_int_cell_xy[:, :, k_s])
@@ -357,4 +383,4 @@ def get_field_z_plane(field_str, solver, k_cut, pml = False):
 axs[1, 0].imshow(solver.Hz[:, :, k_s], cmap='jet')
 axs[1, 1].imshow(solver.Hx[:, :, k_s], cmap='jet')
 axs[1, 2].imshow(solver.Hy[:, :, k_s], cmap='jet')
-'''
\ No newline at end of file
+"""
diff --git a/examples/fdtd/script_pml.py b/examples/fdtd/script_pml.py
index c26a8a2..25cfe81 100644
--- a/examples/fdtd/script_pml.py
+++ b/examples/fdtd/script_pml.py
@@ -1,15 +1,13 @@
 import numpy as np
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import mu_0 as mu_0
 import matplotlib.pyplot as plt
-from matplotlib import patches
 import os
 from tqdm import tqdm
 from solver2D import EMSolver2D
 from grid2D import Grid2D
-from conductors import OutRect, Plane, ConductorsAssembly, InCircle, OutCircle, noConductor
-from scipy.special import jv
+from conductors import OutRect, Plane, ConductorsAssembly, noConductor
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 50
 Nx = N
@@ -22,22 +20,22 @@
 xmax = L / 2
 ymin = -L / 2
 ymax = L / 2
-Lx = L*0.75
-Ly = L*0.75
+Lx = L * 0.75
+Ly = L * 0.75
 x_cent = 0
 y_cent = 0
 
 rect = OutRect(Lx, Ly, x_cent, y_cent)
 
-theta = np.pi/2*0.25
+theta = np.pi / 2 * 0.25
 m_plane1 = np.tan(theta)
-q_plane1 = Ly/ 2
+q_plane1 = Ly / 2
 m_plane2 = np.tan(theta)
-q_plane2 = -Ly/2
-m_plane3 = -1/np.tan(theta)
-q_plane3 = (Ly / 2)/np.tan(theta)
-m_plane4 = -1/np.tan(theta)
-q_plane4 = -(Ly / 2)/np.tan(theta)
+q_plane2 = -Ly / 2
+m_plane3 = -1 / np.tan(theta)
+q_plane3 = (Ly / 2) / np.tan(theta)
+m_plane4 = -1 / np.tan(theta)
+q_plane4 = -(Ly / 2) / np.tan(theta)
 # -dx/3+2*dx
 plane1 = Plane(m_plane1, q_plane1, tol=0, sign=1)
 plane2 = Plane(m_plane2, q_plane2, tol=0, sign=-1)
@@ -45,24 +43,23 @@
 plane4 = Plane(m_plane4, q_plane4, tol=0, sign=-1)
 
 
-
 conductors = ConductorsAssembly([noConductor()])
 
-#theta = 0
-#conductors = ConductorsAssembly([rect])
-sol_type = 'DM'
+# theta = 0
+# conductors = ConductorsAssembly([rect])
+sol_type = "DM"
 
 grid = Grid2D(xmin, xmax, ymin, ymax, Nx, Ny, conductors, sol_type)
-i_s = int(1 * Nx / 2.)
-j_s = int(1 * Ny / 2.)
+i_s = int(1 * Nx / 2.0)
+j_s = int(1 * Ny / 2.0)
 NCFL = 1
-bc_low = ['pml', 'pml', 'pml']
-bc_high = ['pml', 'pml', 'pml']
+bc_low = ["pml", "pml", "pml"]
+bc_high = ["pml", "pml", "pml"]
 
 solver = EMSolver2D(grid, sol_type, NCFL, i_s, j_s, bc_low, bc_high)
 
 Nt = 300
-'''
+"""
 solver.pml_lxly.Hz = 1*np.ones_like(solver.pml_lxly.Hz)
 solver.pml_ly.Hz = 2*np.ones_like(solver.pml_ly.Hz)
 solver.pml_rxly.Hz = 3*np.ones_like(solver.pml_rxly.Hz)
@@ -97,9 +94,9 @@
 plt.imshow(sigma_star_y, cmap='jet')
 plt.colorbar()
 plt.show()
-'''
+"""
 for t in tqdm(range(Nt)):
-    '''
+    """
     for ii in range(-6, 7):
         for jj in range(-6, 7):
             iii = solver.i_s + ii
@@ -115,45 +112,86 @@
 
             solver.Jx[iii, jjj] = amp
             #solver.Jy[iii, jjj] = amp
-    '''
-    #for ii in range(Nx + 1):
+    """
+    # for ii in range(Nx + 1):
     #    for jj in range(Ny + 1):
     #       x = (ii + 0.5) * dx + xmin
     #        y = (jj + 0.5) * dy + ymin
     #        solver.Hz[ii, jj] = analytic_sol(x, y, t*solver.dt)
 
-    E1 = np.concatenate((solver.pml_lxly.Ex[:,:-1], solver.pml_ly.Ex[:,:-1], solver.pml_rxly.Ex[:,:-1]), axis=0)
-    E2 = np.concatenate((solver.pml_lx.Ex[:,:-1], solver.Ex[:,:-1], solver.pml_rx.Ex[:,:-1]), axis=0)
-    E3 = np.concatenate((solver.pml_lxry.Ex[:,:-1], solver.pml_ry.Ex[:,:-1], solver.pml_rxry.Ex[:,:-1]), axis=0)
+    E1 = np.concatenate(
+        (
+            solver.pml_lxly.Ex[:, :-1],
+            solver.pml_ly.Ex[:, :-1],
+            solver.pml_rxly.Ex[:, :-1],
+        ),
+        axis=0,
+    )
+    E2 = np.concatenate(
+        (solver.pml_lx.Ex[:, :-1], solver.Ex[:, :-1], solver.pml_rx.Ex[:, :-1]), axis=0
+    )
+    E3 = np.concatenate(
+        (
+            solver.pml_lxry.Ex[:, :-1],
+            solver.pml_ry.Ex[:, :-1],
+            solver.pml_rxry.Ex[:, :-1],
+        ),
+        axis=0,
+    )
     Ex = np.concatenate((E1, E2, E3), axis=1)
-    #Ex = np.concatenate((solver.pml_lx.Ex[:, :-1], solver.Ex[:, :-1]))
+    # Ex = np.concatenate((solver.pml_lx.Ex[:, :-1], solver.Ex[:, :-1]))
 
     fig, axs = plt.subplots(1, 3, figsize=(16, 5))
     fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
-    im1 = axs[0].imshow(Ex.T, cmap='jet', vmax=1000, vmin=-1000, origin = 'lower')  # ,extent=[0, L , 0, L ])
-    axs[0].set_xlabel('x [m]')
-    axs[0].set_ylabel('y [m]')
-    axs[0].set_title('Ex [V/m]')
-    fig.colorbar(im1, ax=axs[0], )
-    E1 = np.concatenate((solver.pml_lxly.Ey[:-1,:], solver.pml_ly.Ey[:-1,:], solver.pml_rxly.Ey[:-1,:]), axis=0)
-    E2 = np.concatenate((solver.pml_lx.Ey[:-1,:], solver.Ey[:-1,:], solver.pml_rx.Ey[:-1,:]), axis=0)
-    E3 = np.concatenate((solver.pml_lxry.Ey[:-1,:], solver.pml_ry.Ey[:-1,:], solver.pml_rxry.Ey[:-1,:]), axis=0)
+    im1 = axs[0].imshow(
+        Ex.T, cmap="jet", vmax=1000, vmin=-1000, origin="lower"
+    )  # ,extent=[0, L , 0, L ])
+    axs[0].set_xlabel("x [m]")
+    axs[0].set_ylabel("y [m]")
+    axs[0].set_title("Ex [V/m]")
+    fig.colorbar(
+        im1,
+        ax=axs[0],
+    )
+    E1 = np.concatenate(
+        (
+            solver.pml_lxly.Ey[:-1, :],
+            solver.pml_ly.Ey[:-1, :],
+            solver.pml_rxly.Ey[:-1, :],
+        ),
+        axis=0,
+    )
+    E2 = np.concatenate(
+        (solver.pml_lx.Ey[:-1, :], solver.Ey[:-1, :], solver.pml_rx.Ey[:-1, :]), axis=0
+    )
+    E3 = np.concatenate(
+        (
+            solver.pml_lxry.Ey[:-1, :],
+            solver.pml_ry.Ey[:-1, :],
+            solver.pml_rxry.Ey[:-1, :],
+        ),
+        axis=0,
+    )
     Ey = np.concatenate((E1, E2, E3), axis=1)
-    #Ey = np.concatenate((solver.pml_lx.Ey[:-1,:],solver.Ey[:-1,:]))
-    im1 = axs[1].imshow(Ey.T, cmap='jet', vmax=1000, vmin=-1000, origin = 'lower')
-    axs[1].set_xlabel('x [m]')
-    axs[1].set_ylabel('y [m]')
-    axs[1].set_title('Ey [V/m]')
+    # Ey = np.concatenate((solver.pml_lx.Ey[:-1,:],solver.Ey[:-1,:]))
+    im1 = axs[1].imshow(Ey.T, cmap="jet", vmax=1000, vmin=-1000, origin="lower")
+    axs[1].set_xlabel("x [m]")
+    axs[1].set_ylabel("y [m]")
+    axs[1].set_title("Ey [V/m]")
     fig.colorbar(im1, ax=axs[1])
-    E1 = np.concatenate((solver.pml_lxly.Hz, solver.pml_ly.Hz, solver.pml_rxly.Hz), axis=0)
+    E1 = np.concatenate(
+        (solver.pml_lxly.Hz, solver.pml_ly.Hz, solver.pml_rxly.Hz), axis=0
+    )
     E2 = np.concatenate((solver.pml_lx.Hz, solver.Hz, solver.pml_rx.Hz), axis=0)
-    E3 = np.concatenate((solver.pml_lxry.Hz, solver.pml_ry.Hz, solver.pml_rxry.Hz), axis=0)
+    E3 = np.concatenate(
+        (solver.pml_lxry.Hz, solver.pml_ry.Hz, solver.pml_rxry.Hz), axis=0
+    )
     Hz = np.concatenate((E1, E2, E3), axis=1)
-    #Hz = np.concatenate((solver.pml_lx.Hz,solver.Hz))
-    im1 = axs[2].imshow(Hz.T, cmap='jet', vmax=2, vmin=-2, origin = 'lower')
-    axs[2].set_xlabel('x [m]')
-    axs[2].set_ylabel('y [m]')
-    axs[2].set_title('Hz [A/m]')
+    # Hz = np.concatenate((solver.pml_lx.Hz,solver.Hz))
+    im1 = axs[2].imshow(Hz.T, cmap="jet", vmax=2, vmin=-2, origin="lower")
+    axs[2].set_xlabel("x [m]")
+    axs[2].set_ylabel("y [m]")
+    axs[2].set_title("Hz [A/m]")
     fig.colorbar(im1, ax=axs[2])
     plt.suptitle(str(solver.time))
     # im1 = axs[1,0].imshow(Hx.T,cmap='jet',origin='lower')#,extent=[0, L , 0, L ])
@@ -171,13 +209,12 @@
     # axs[1,2].set_ylabel('y [m]')
     # axs[1,2].set_title('Ez [V/m]')
     # fig.colorbar(im1, ax=axs[1,2])
-    folder = sol_type + '_images_pml'
+    folder = sol_type + "_images_pml"
     if not os.path.exists(folder):
         os.mkdir(folder)
 
-    filename = folder + '/%d.png' % t
+    filename = folder + "/%d.png" % t
     plt.savefig(filename)
     plt.close(fig)
     solver.one_step()
     solver.Hz[i_s, j_s] += solver.gauss(solver.time)
-
diff --git a/examples/fdtd/script_rect_cav.py b/examples/fdtd/script_rect_cav.py
index d9fe54c..573a0e5 100644
--- a/examples/fdtd/script_rect_cav.py
+++ b/examples/fdtd/script_rect_cav.py
@@ -1,15 +1,13 @@
 import numpy as np
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import c as c_light, mu_0 as mu_0
 import matplotlib.pyplot as plt
-from matplotlib import patches
 import os
 from tqdm import tqdm
 from solver2D import EMSolver2D
 from grid2D import Grid2D
-from conductors import OutRect, Plane, ConductorsAssembly, InCircle, OutCircle
-from scipy.special import jv
+from conductors import OutRect, Plane, ConductorsAssembly
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 50
 Nx = N
@@ -22,22 +20,22 @@
 xmax = L / 2
 ymin = -L / 2
 ymax = L / 2
-Lx = L*0.75
-Ly = L*0.75
+Lx = L * 0.75
+Ly = L * 0.75
 x_cent = 0
 y_cent = 0
 
 rect = OutRect(Lx, Ly, x_cent, y_cent)
 
-theta = np.pi/2*0.25
+theta = np.pi / 2 * 0.25
 m_plane1 = np.tan(theta)
-q_plane1 = Ly/ 2
+q_plane1 = Ly / 2
 m_plane2 = np.tan(theta)
-q_plane2 = -Ly/2
-m_plane3 = -1/np.tan(theta)
-q_plane3 = (Ly / 2)/np.tan(theta)
-m_plane4 = -1/np.tan(theta)
-q_plane4 = -(Ly / 2)/np.tan(theta)
+q_plane2 = -Ly / 2
+m_plane3 = -1 / np.tan(theta)
+q_plane3 = (Ly / 2) / np.tan(theta)
+m_plane4 = -1 / np.tan(theta)
+q_plane4 = -(Ly / 2) / np.tan(theta)
 # -dx/3+2*dx
 plane1 = Plane(m_plane1, q_plane1, tol=0, sign=1)
 plane2 = Plane(m_plane2, q_plane2, tol=0, sign=-1)
@@ -46,16 +44,16 @@
 
 conductors = ConductorsAssembly([plane1, plane2, plane3, plane4])
 
-#theta = 0
-#conductors = ConductorsAssembly([rect])
-sol_type = 'ECT'
+# theta = 0
+# conductors = ConductorsAssembly([rect])
+sol_type = "ECT"
 
 grid = Grid2D(xmin, xmax, ymin, ymax, Nx, Ny, conductors, sol_type)
-i_s = int(1 * Nx / 2.)
-j_s = int(1 * Ny / 2.)
+i_s = int(1 * Nx / 2.0)
+j_s = int(1 * Ny / 2.0)
 NCFL = 1
-bc_low = ['dirichlet', 'dirichlet', 'dirichlet']
-bc_high = ['dirichlet', 'dirichlet', 'dirichlet']
+bc_low = ["dirichlet", "dirichlet", "dirichlet"]
+bc_high = ["dirichlet", "dirichlet", "dirichlet"]
 
 solver = EMSolver2D(grid, sol_type, NCFL, i_s, j_s, bc_low, bc_high)
 
@@ -66,8 +64,8 @@
 Nborrow = np.zeros((Nx, Ny))
 Nlend = np.zeros((Nx, Ny))
 minpatch = np.ones((Nx, Ny))
-small_patch = np.ones((Nx, Ny), dtype = bool)
-'''
+small_patch = np.ones((Nx, Ny), dtype=bool)
+"""
 for ii in range(Nx):
     for jj in range(Ny):
         Nborrow[ii, jj] = len(grid.borrowing[ii, jj])
@@ -76,17 +74,21 @@
         for (_, _, patch, _) in grid.borrowing[ii, jj]:
             if patch < minpatch[ii, jj]:
                 minpatch[ii, jj] = patch
-'''
+"""
 for ii in range(Nx):
     for jj in range(Ny):
         small_patch[ii, jj] = minpatch[ii, jj] < grid.S_stab[ii, jj]
 
 
 def analytic_sol(x, y, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta)],[np.sin(-theta), np.cos(-theta)]])
+    Rm = np.array([[np.cos(-theta), -np.sin(-theta)], [np.sin(-theta), np.cos(-theta)]])
     [x_0, y_0] = np.dot(Rm, np.array([x, y]))
 
-    return np.cos(np.pi/Lx*(x_0 - Lx/2))*np.cos(np.pi/Ly*(y_0 - Lx/2))*np.cos(np.sqrt(2)*np.pi/Lx*c_light*t)
+    return (
+        np.cos(np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(np.pi / Ly * (y_0 - Lx / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
 
 
 for ii in range(Nx):
@@ -100,14 +102,14 @@ def analytic_sol(x, y, t):
 
 max_sol = solver.Hz
 
-t_f = 1.1*np.sqrt(2)*Lx/c_light
-Nt = int(t_f/solver.dt)
-#Nt = 100
+t_f = 1.1 * np.sqrt(2) * Lx / c_light
+Nt = int(t_f / solver.dt)
+# Nt = 100
 
 sol = np.zeros_like(solver.Hz)
 
 for t in tqdm(range(Nt)):
-    '''
+    """
     for ii in range(-6, 7):
         for jj in range(-6, 7):
             iii = solver.i_s + ii
@@ -123,8 +125,8 @@ def analytic_sol(x, y, t):
 
             solver.Jx[iii, jjj] = amp
             #solver.Jy[iii, jjj] = amp
-    '''
-    #for ii in range(Nx + 1):
+    """
+    # for ii in range(Nx + 1):
     #    for jj in range(Ny + 1):
     #       x = (ii + 0.5) * dx + xmin
     #        y = (jj + 0.5) * dy + ymin
@@ -132,20 +134,25 @@ def analytic_sol(x, y, t):
 
     fig, axs = plt.subplots(1, 3, figsize=(16, 5))
     fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
-    im1 = axs[0].imshow(solver.Ex, cmap='jet', vmax=200, vmin=-200)  # ,extent=[0, L , 0, L ])
-    axs[0].set_xlabel('x [m]')
-    axs[0].set_ylabel('y [m]')
-    axs[0].set_title('Ex [V/m]')
-    fig.colorbar(im1, ax=axs[0], )
-    im1 = axs[1].imshow(solver.Ey, cmap='jet', vmax=200, vmin=-200)
-    axs[1].set_xlabel('x [m]')
-    axs[1].set_ylabel('y [m]')
-    axs[1].set_title('Ey [V/m]')
+    im1 = axs[0].imshow(
+        solver.Ex, cmap="jet", vmax=200, vmin=-200
+    )  # ,extent=[0, L , 0, L ])
+    axs[0].set_xlabel("x [m]")
+    axs[0].set_ylabel("y [m]")
+    axs[0].set_title("Ex [V/m]")
+    fig.colorbar(
+        im1,
+        ax=axs[0],
+    )
+    im1 = axs[1].imshow(solver.Ey, cmap="jet", vmax=200, vmin=-200)
+    axs[1].set_xlabel("x [m]")
+    axs[1].set_ylabel("y [m]")
+    axs[1].set_title("Ey [V/m]")
     fig.colorbar(im1, ax=axs[1])
-    im1 = axs[2].imshow(solver.Hz, cmap='jet', vmax=1, vmin=-1)
-    axs[2].set_xlabel('x [m]')
-    axs[2].set_ylabel('y [m]')
-    axs[2].set_title('Hz [A/m]')
+    im1 = axs[2].imshow(solver.Hz, cmap="jet", vmax=1, vmin=-1)
+    axs[2].set_xlabel("x [m]")
+    axs[2].set_ylabel("y [m]")
+    axs[2].set_title("Hz [A/m]")
     fig.colorbar(im1, ax=axs[2])
     plt.suptitle(str(solver.time))
     # im1 = axs[1,0].imshow(Hx.T,cmap='jet',origin='lower')#,extent=[0, L , 0, L ])
@@ -163,16 +170,16 @@ def analytic_sol(x, y, t):
     # axs[1,2].set_ylabel('y [m]')
     # axs[1,2].set_title('Ez [V/m]')
     # fig.colorbar(im1, ax=axs[1,2])
-    folder = sol_type + '_images_rect'
+    folder = sol_type + "_images_rect"
     if not os.path.exists(folder):
         os.mkdir(folder)
 
-    filename = folder + '/%d.png' % t
+    filename = folder + "/%d.png" % t
     plt.savefig(filename)
     plt.close(fig)
     solver.time += solver.dt
     solver.one_step()
-    #solver.Hz[i_s, j_s] += solver.gauss(solver.time)
+    # solver.Hz[i_s, j_s] += solver.gauss(solver.time)
 # Compute the analytic solution
 sol = np.zeros_like(solver.Hz)
 
diff --git a/examples/fdtd/script_rot_cube_cav.py b/examples/fdtd/script_rot_cube_cav.py
index 08ced4a..1f8dc6f 100644
--- a/examples/fdtd/script_rot_cube_cav.py
+++ b/examples/fdtd/script_rot_cube_cav.py
@@ -1,38 +1,36 @@
 import numpy as np
 from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-import matplotlib
+
 # matplotlib.use('Agg')
 from matplotlib import pyplot as plt
-from matplotlib import patches
 import os
 from tqdm import tqdm
 from solver3D import EMSolver3D
 from grid3D import Grid3D
-from conductors3d import InCube, ConductorsAssembly, InSphere, Plane
-from scipy.special import jv
+from conductors3d import ConductorsAssembly, Plane
 
 Z0 = np.sqrt(mu_0 / eps_0)
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 50
 Nx = N
 Ny = N
 Nz = N
-Lx = 0.5*L
-Ly = 0.5*L
-Lz = 0.5*L
+Lx = 0.5 * L
+Ly = 0.5 * L
+Lz = 0.5 * L
 dx = L / Nx
 dy = L / Ny
 dz = L / Nz
 
 r_circ = 0.3
-xmin = -L / 2 # + dx / 2
-xmax = L / 2 #+ dx / 2
-ymin = -L / 2 #+ dy / 2
-ymax = L / 2 #+ dy / 2
-zmin = -L / 2 #+ dz / 2
-zmax = L / 2 #+ dz / 2
+xmin = -L / 2  # + dx / 2
+xmax = L / 2  # + dx / 2
+ymin = -L / 2  # + dy / 2
+ymax = L / 2  # + dy / 2
+zmin = -L / 2  # + dz / 2
+zmax = L / 2  # + dz / 2
 
 x_cent = 0
 y_cent = 0
@@ -47,18 +45,25 @@
 n6 = np.array([0, 0, 1])
 
 
-
-R_theta = np.array([[np.cos(theta), - np.sin(theta), 0], [np.sin(theta), np.cos(theta), 0], [0, 0, 1]])
-R_rect = np.array([[np.cos(np.pi / 2), - np.sin(np.pi / 2), 0], [np.sin(np.pi / 2), np.cos(np.pi / 2), 0], [0, 0, 1]])
+R_theta = np.array(
+    [[np.cos(theta), -np.sin(theta), 0], [np.sin(theta), np.cos(theta), 0], [0, 0, 1]]
+)
+R_rect = np.array(
+    [
+        [np.cos(np.pi / 2), -np.sin(np.pi / 2), 0],
+        [np.sin(np.pi / 2), np.cos(np.pi / 2), 0],
+        [0, 0, 1],
+    ]
+)
 
 l_side = Lx
 
-#l = l_side*np.cos(theta)
+# l = l_side*np.cos(theta)
 
-p1 = np.dot(R_theta, np.array([l_side/2, l_side/2, 0]))
-p2 = np.dot(R_theta, np.array([-l_side/2, l_side/2, 0]))
-p3 = np.dot(R_theta, np.array([-l_side/2, -l_side/2, 0]))
-p4 = np.dot(R_theta, np.array([l_side/2, -l_side/2, 0]))
+p1 = np.dot(R_theta, np.array([l_side / 2, l_side / 2, 0]))
+p2 = np.dot(R_theta, np.array([-l_side / 2, l_side / 2, 0]))
+p3 = np.dot(R_theta, np.array([-l_side / 2, -l_side / 2, 0]))
+p4 = np.dot(R_theta, np.array([l_side / 2, -l_side / 2, 0]))
 p5 = np.array([0, 0, l_side / 2])
 p6 = np.array([0, 0, -l_side / 2])
 
@@ -69,18 +74,18 @@
 plane5 = Plane(p5, n5)
 plane6 = Plane(p6, n6)
 
-#cube = InCube(lx, ly, lz, x_cent, y_cent, z_cent)
-#sphere = InSphere(r_circ, x_cent, y_cent, z_cent)
+# cube = InCube(lx, ly, lz, x_cent, y_cent, z_cent)
+# sphere = InSphere(r_circ, x_cent, y_cent, z_cent)
 conductors = ConductorsAssembly([plane1, plane2, plane3, plane4, plane5, plane6])
 # conductors = ConductorsAssembly([cube])
 
 # conductors = cube
-sol_type = 'FDTD'
+sol_type = "FDTD"
 
 grid = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, sol_type)
 i_s = int(Nx / 2)
 j_s = int(Ny / 2)
-k_s = int(Nz / 2)+10
+k_s = int(Nz / 2) + 10
 NCFL = 1
 
 flag_in_conductor = np.zeros((Nx, Ny, Nz), dtype=bool)
@@ -97,13 +102,13 @@
 Nborrow = np.zeros((Nx, Ny, Nz))
 Nlend = np.zeros((Nx, Ny, Nz))
 
-'''
+"""
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
             Nborrow[ii, jj, kk] = len(grid.borrowing_xy[ii, jj, kk])
             Nlend[ii, jj, kk] = len(grid.lending_xy[ii, jj, kk])
-'''
+"""
 
 m = 0
 n = 1
@@ -111,31 +116,67 @@
 
 
 def analytic_sol_Hz(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0], [np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
 
-    return np.cos(m * np.pi / Lx * (x_0 - Lx / 2)) * np.cos(n * np.pi / Ly * (y_0 - Ly / 2)) * np.sin(
-        p * np.pi / Lz * (z_0 - Lz / 2)) * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.sin(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
 
 
 h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
 
 def analytic_sol_Hy(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0], [np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
-    return -2 / h_2 * (n * np.pi / Ly) * (p * np.pi / Lz) * np.cos(m * np.pi / Lx * (x_0 - Lx / 2)) * np.sin(
-        n * np.pi / Ly * (y_0 - Ly / 2)) * np.cos(p * np.pi / Lz * (z_0 - Lz / 2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (n * np.pi / Ly)
+        * (p * np.pi / Lz)
+        * np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.sin(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
     # return -0.9994120256621584*np.cos(m*np.pi/lx*(x_0 - lx/2))*np.sin(n*np.pi/ly*(y_0 - ly/2))*np.cos(p*np.pi/lz*(z_0 - lz/2))*np.cos(np.sqrt(2)*np.pi/lx*c_light*t)
 
 
 def analytic_sol_Hx(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0], [np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
-    return -2 / h_2 * (m * np.pi / Lx) * (p * np.pi / Lz) * np.sin(m * np.pi / Lx * (x_0 - Lx / 2)) * np.cos(
-        n * np.pi / l_side * (y_0 - Ly / 2)) * np.cos(p * np.pi / Lz * (z_0 - Lz / 2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (m * np.pi / Lx)
+        * (p * np.pi / Lz)
+        * np.sin(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / l_side * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
 
 
 k = 2.7437 / r_circ
@@ -164,7 +205,7 @@ def analytic_sol_Hx(x, y, z, t):
 a = l_side * np.sqrt(2) / 3
 Tf = 6 * np.sqrt(2) * (a / c_light)
 Nt = int(Tf / solver.dt)
-#Nt = 1
+# Nt = 1
 
 res_Hy = np.zeros(Nt)
 res_Ex = np.zeros(Nt)
@@ -173,70 +214,89 @@ def analytic_sol_Hx(x, y, z, t):
 fields_norms = False
 
 for t in tqdm(range(Nt)):
-
     if fields_norms:
         fig, axs = plt.subplots(1, 2, figsize=(16, 8))
         fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
-        norme = np.sqrt(np.square(solver.Ex[:, :, k_s]) + np.square(solver.Ey[:, :, k_s]) + np.square(solver.Ez[:, :, k_s]))
-        normh = np.sqrt(np.square(solver.Hx[:, :, k_s]) + np.square(solver.Hy[:, :, k_s]) + np.square(solver.Hz[:, :, k_s]))
-
-        im1 = axs[0].imshow(norme, cmap='jet', vmax=530, vmin=-530)  # ,extent=[0, L , 0, L ])
-        axs[0].set_xlabel('x [m]')
-        axs[0].set_ylabel('y [m]')
-        axs[0].set_title('||E|| [V/m]')
+        norme = np.sqrt(
+            np.square(solver.Ex[:, :, k_s])
+            + np.square(solver.Ey[:, :, k_s])
+            + np.square(solver.Ez[:, :, k_s])
+        )
+        normh = np.sqrt(
+            np.square(solver.Hx[:, :, k_s])
+            + np.square(solver.Hy[:, :, k_s])
+            + np.square(solver.Hz[:, :, k_s])
+        )
+
+        im1 = axs[0].imshow(
+            norme, cmap="jet", vmax=530, vmin=-530
+        )  # ,extent=[0, L , 0, L ])
+        axs[0].set_xlabel("x [m]")
+        axs[0].set_ylabel("y [m]")
+        axs[0].set_title("||E|| [V/m]")
         fig.colorbar(im1, ax=axs[0])
-        im1 = axs[1].imshow(normh, cmap='jet', vmax=1, vmin=-1)
-        axs[1].set_xlabel('x [m]')
-        axs[1].set_ylabel('y [m]')
-        axs[1].set_title('||H|| [V/m]')
+        im1 = axs[1].imshow(normh, cmap="jet", vmax=1, vmin=-1)
+        axs[1].set_xlabel("x [m]")
+        axs[1].set_ylabel("y [m]")
+        axs[1].set_title("||H|| [V/m]")
         fig.colorbar(im1, ax=axs[1])
     else:
         fig, axs = plt.subplots(2, 3, figsize=(16, 10))
         fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
 
-        im1 = axs[0, 0].imshow(solver.Ex[:, :, k_s], cmap='jet', vmax=530, vmin=-530)  # ,extent=[0, L , 0, L ])
-        axs[0, 0].set_xlabel('x [m]')
-        axs[0, 0].set_ylabel('y [m]')
-        axs[0, 0].set_title('Ex [V/m]')
-        fig.colorbar(im1, ax=axs[0, 0], )
-        im1 = axs[0, 1].imshow(solver.Ey[:, :, k_s], cmap='jet', vmax=530, vmin=-530)
-        axs[0, 1].set_xlabel('x [m]')
-        axs[0, 1].set_ylabel('y [m]')
-        axs[0, 1].set_title('Ey [V/m]')
+        im1 = axs[0, 0].imshow(
+            solver.Ex[:, :, k_s], cmap="jet", vmax=530, vmin=-530
+        )  # ,extent=[0, L , 0, L ])
+        axs[0, 0].set_xlabel("x [m]")
+        axs[0, 0].set_ylabel("y [m]")
+        axs[0, 0].set_title("Ex [V/m]")
+        fig.colorbar(
+            im1,
+            ax=axs[0, 0],
+        )
+        im1 = axs[0, 1].imshow(solver.Ey[:, :, k_s], cmap="jet", vmax=530, vmin=-530)
+        axs[0, 1].set_xlabel("x [m]")
+        axs[0, 1].set_ylabel("y [m]")
+        axs[0, 1].set_title("Ey [V/m]")
         fig.colorbar(im1, ax=axs[0, 1])
-        im1 = axs[0, 2].imshow(solver.Ez[:, :, k_s], cmap='jet', vmax=530, vmin=-530)
-        axs[0, 2].set_xlabel('x [m]')
-        axs[0, 2].set_ylabel('y [m]')
-        axs[0, 2].set_title('Ez [V/m]')
+        im1 = axs[0, 2].imshow(solver.Ez[:, :, k_s], cmap="jet", vmax=530, vmin=-530)
+        axs[0, 2].set_xlabel("x [m]")
+        axs[0, 2].set_ylabel("y [m]")
+        axs[0, 2].set_title("Ez [V/m]")
         fig.colorbar(im1, ax=axs[0, 2])
-        im1 = axs[1, 0].imshow(solver.Hx[:, :, k_s], cmap='jet', vmax=0.1, vmin=-0.1)  # ,extent=[0, L , 0, L ])
-        axs[1, 0].set_xlabel('x [m]')
-        axs[1, 0].set_ylabel('y [m]')
-        axs[1, 0].set_title('Hx [A/m]')
-        fig.colorbar(im1, ax=axs[1, 0], )
-        im1 = axs[1, 1].imshow(solver.Hy[:, :, k_s], cmap='jet', vmax=0.17, vmin=-0.17)
-        axs[1, 1].set_xlabel('x [m]')
-        axs[1, 1].set_ylabel('y [m]')
-        axs[1, 1].set_title('Hy [A/m]')
+        im1 = axs[1, 0].imshow(
+            solver.Hx[:, :, k_s], cmap="jet", vmax=0.1, vmin=-0.1
+        )  # ,extent=[0, L , 0, L ])
+        axs[1, 0].set_xlabel("x [m]")
+        axs[1, 0].set_ylabel("y [m]")
+        axs[1, 0].set_title("Hx [A/m]")
+        fig.colorbar(
+            im1,
+            ax=axs[1, 0],
+        )
+        im1 = axs[1, 1].imshow(solver.Hy[:, :, k_s], cmap="jet", vmax=0.17, vmin=-0.17)
+        axs[1, 1].set_xlabel("x [m]")
+        axs[1, 1].set_ylabel("y [m]")
+        axs[1, 1].set_title("Hy [A/m]")
         fig.colorbar(im1, ax=axs[1, 1])
-        im1 = axs[1, 2].imshow(solver.Hz[:, :, k_s], cmap='jet', vmax=1, vmin=-1)
-        axs[1, 2].set_xlabel('x [m]')
-        axs[1, 2].set_ylabel('y [m]')
-        axs[1, 2].set_title('Hz [A/m]')
+        im1 = axs[1, 2].imshow(solver.Hz[:, :, k_s], cmap="jet", vmax=1, vmin=-1)
+        axs[1, 2].set_xlabel("x [m]")
+        axs[1, 2].set_ylabel("y [m]")
+        axs[1, 2].set_title("Hz [A/m]")
         fig.colorbar(im1, ax=axs[1, 2])
     plt.suptitle(str(solver.time))
 
-    folder = sol_type + '_images_rot_cube'
+    folder = sol_type + "_images_rot_cube"
     if not os.path.exists(folder):
         os.mkdir(folder)
 
-    filename = folder + '/%d.png' % t
+    filename = folder + "/%d.png" % t
     plt.savefig(filename)
     plt.close(fig)
 
-    i_probe = int(Nx/2)-10
-    j_probe = int(Ny/2)-10
-    k_probe = int(Nz/2)
+    i_probe = int(Nx / 2) - 10
+    j_probe = int(Ny / 2) - 10
+    k_probe = int(Nz / 2)
     res_Hy[t] = solver.Hy[i_probe, j_probe, k_probe]
     res_Hz[t] = solver.Hz[i_probe, k_probe, k_probe]
     res_Ex[t] = solver.Ex[i_probe, j_probe, k_probe]
@@ -245,7 +305,7 @@ def analytic_sol_Hx(x, y, z, t):
     # solver.Jx[i_s, j_s, k_s] = solver.gauss(solver.time)
     # solver.Hz[i_s, j_s, k_s] += solver.gauss(solver.time)
     # solver.Jz[i_s, j_s, k_s] = solver.gauss(solver.time)
-'''
+"""
 fig, axs = plt.subplots(2, 3, figsize=(16, 10))
 fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
 axs[0, 0].imshow(grid.flag_int_cell_xy[:, :, k_s])
@@ -254,4 +314,4 @@ def analytic_sol_Hx(x, y, z, t):
 axs[1, 0].imshow(solver.Hz[:, :, k_s], cmap='jet')
 axs[1, 1].imshow(solver.Hx[:, :, k_s], cmap='jet')
 axs[1, 2].imshow(solver.Hy[:, :, k_s], cmap='jet')
-'''
+"""
diff --git a/examples/fdtd/script_scatter_circle.py b/examples/fdtd/script_scatter_circle.py
index e20a974..e926a9f 100644
--- a/examples/fdtd/script_scatter_circle.py
+++ b/examples/fdtd/script_scatter_circle.py
@@ -1,16 +1,13 @@
-import numpy as np
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import mu_0 as mu_0
 import matplotlib.pyplot as plt
-from matplotlib import patches
 import os
 from tqdm import tqdm
 from solver2D import EMSolver2D
 from grid2D import Grid2D
-from conductors import OutRect, Plane, ConductorsAssembly, InCircle, OutCircle, noConductor
-from scipy.special import jv
+from conductors import ConductorsAssembly, InCircle
 from matplotlib.patches import Circle
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 100
 Nx = N
@@ -19,13 +16,13 @@
 dy = L / Ny
 N_radius = 15
 
-r_circ = N_radius*dx
+r_circ = N_radius * dx
 xmin = -L / 2
 xmax = L / 2
 ymin = -L / 2
 ymax = L / 2
-Lx = L*0.75
-Ly = L*0.75
+Lx = L * 0.75
+Ly = L * 0.75
 x_cent = 0
 y_cent = 0
 
@@ -33,21 +30,21 @@
 
 conductors = ConductorsAssembly([circ])
 
-#theta = 0
-#conductors = ConductorsAssembly([rect])
-sol_type = 'FDTD'
+# theta = 0
+# conductors = ConductorsAssembly([rect])
+sol_type = "FDTD"
 
 grid = Grid2D(xmin, xmax, ymin, ymax, Nx, Ny, conductors, sol_type)
-i_s = int(1 * Nx / 4.)
-j_s = int(1 * Ny / 4.)
+i_s = int(1 * Nx / 4.0)
+j_s = int(1 * Ny / 4.0)
 NCFL = 1
-bc_low = ['pml', 'pml', 'pml']
-bc_high = ['pml', 'pml', 'pml']
+bc_low = ["pml", "pml", "pml"]
+bc_high = ["pml", "pml", "pml"]
 
 solver = EMSolver2D(grid, sol_type, NCFL, i_s, j_s, bc_low, bc_high)
 
 Nt = 300
-'''
+"""
 solver.pml_lxly.Hz = 1*np.ones_like(solver.pml_lxly.Hz)
 solver.pml_ly.Hz = 2*np.ones_like(solver.pml_ly.Hz)
 solver.pml_rxly.Hz = 3*np.ones_like(solver.pml_rxly.Hz)
@@ -82,9 +79,9 @@
 plt.imshow(sigma_star_y, cmap='jet')
 plt.colorbar()
 plt.show()
-'''
+"""
 for t in tqdm(range(Nt)):
-    '''
+    """
     for ii in range(-6, 7):
         for jj in range(-6, 7):
             iii = solver.i_s + ii
@@ -100,53 +97,58 @@
 
             solver.Jx[iii, jjj] = amp
             #solver.Jy[iii, jjj] = amp
-    '''
-    #for ii in range(Nx + 1):
+    """
+    # for ii in range(Nx + 1):
     #    for jj in range(Ny + 1):
     #       x = (ii + 0.5) * dx + xmin
     #        y = (jj + 0.5) * dy + ymin
     #        solver.Hz[ii, jj] = analytic_sol(x, y, t*solver.dt)
 
-    #E1 = np.concatenate((solver.pml_lxly.Ex[:,:-1], solver.pml_ly.Ex[:,:-1], solver.pml_rxly.Ex[:,:-1]), axis=0)
-    #E2 = np.concatenate((solver.pml_lx.Ex[:,:-1], solver.Ex[:,:-1], solver.pml_rx.Ex[:,:-1]), axis=0)
-    #E3 = np.concatenate((solver.pml_lxry.Ex[:,:-1], solver.pml_ry.Ex[:,:-1], solver.pml_rxry.Ex[:,:-1]), axis=0)
-    #Ex = np.concatenate((E1, E2, E3), axis=1)
-    #Ex = np.concatenate((solver.pml_lx.Ex[:, :-1], solver.Ex[:, :-1]))
+    # E1 = np.concatenate((solver.pml_lxly.Ex[:,:-1], solver.pml_ly.Ex[:,:-1], solver.pml_rxly.Ex[:,:-1]), axis=0)
+    # E2 = np.concatenate((solver.pml_lx.Ex[:,:-1], solver.Ex[:,:-1], solver.pml_rx.Ex[:,:-1]), axis=0)
+    # E3 = np.concatenate((solver.pml_lxry.Ex[:,:-1], solver.pml_ry.Ex[:,:-1], solver.pml_rxry.Ex[:,:-1]), axis=0)
+    # Ex = np.concatenate((E1, E2, E3), axis=1)
+    # Ex = np.concatenate((solver.pml_lx.Ex[:, :-1], solver.Ex[:, :-1]))
 
     fig, axs = plt.subplots(1, 3, figsize=(16, 5))
     fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
-    im1 = axs[0].imshow(solver.Ex.T, cmap='jet', vmax=1000, vmin=-1000, origin = 'lower')  # ,extent=[0, L , 0, L ])
-    circ0 = Circle((Nx/2, Ny/2), N_radius, facecolor='None', edgecolor='r', lw=1)
-    circ1 = Circle((Nx/2, Ny/2), N_radius, facecolor='None', edgecolor='r', lw=1)
-    circ2 = Circle((Nx/2, Ny/2), N_radius, facecolor='None', edgecolor='r', lw=1)
+    im1 = axs[0].imshow(
+        solver.Ex.T, cmap="jet", vmax=1000, vmin=-1000, origin="lower"
+    )  # ,extent=[0, L , 0, L ])
+    circ0 = Circle((Nx / 2, Ny / 2), N_radius, facecolor="None", edgecolor="r", lw=1)
+    circ1 = Circle((Nx / 2, Ny / 2), N_radius, facecolor="None", edgecolor="r", lw=1)
+    circ2 = Circle((Nx / 2, Ny / 2), N_radius, facecolor="None", edgecolor="r", lw=1)
 
     axs[0].add_patch(circ0)
-    axs[0].set_xlabel('x [m]')
-    axs[0].set_ylabel('y [m]')
-    axs[0].set_title('Ex [V/m]')
-    fig.colorbar(im1, ax=axs[0], )
-    #E1 = np.concatenate((solver.pml_lxly.Ey[:-1,:], solver.pml_ly.Ey[:-1,:], solver.pml_rxly.Ey[:-1,:]), axis=0)
-    #E2 = np.concatenate((solver.pml_lx.Ey[:-1,:], solver.Ey[:-1,:], solver.pml_rx.Ey[:-1,:]), axis=0)
-    #E3 = np.concatenate((solver.pml_lxry.Ey[:-1,:], solver.pml_ry.Ey[:-1,:], solver.pml_rxry.Ey[:-1,:]), axis=0)
-    #Ey = np.concatenate((E1, E2, E3), axis=1)
-    #Ey = np.concatenate((solver.pml_lx.Ey[:-1,:],solver.Ey[:-1,:]))
-    im1 = axs[1].imshow(solver.Ey.T, cmap='jet', vmax=1000, vmin=-1000, origin = 'lower')
+    axs[0].set_xlabel("x [m]")
+    axs[0].set_ylabel("y [m]")
+    axs[0].set_title("Ex [V/m]")
+    fig.colorbar(
+        im1,
+        ax=axs[0],
+    )
+    # E1 = np.concatenate((solver.pml_lxly.Ey[:-1,:], solver.pml_ly.Ey[:-1,:], solver.pml_rxly.Ey[:-1,:]), axis=0)
+    # E2 = np.concatenate((solver.pml_lx.Ey[:-1,:], solver.Ey[:-1,:], solver.pml_rx.Ey[:-1,:]), axis=0)
+    # E3 = np.concatenate((solver.pml_lxry.Ey[:-1,:], solver.pml_ry.Ey[:-1,:], solver.pml_rxry.Ey[:-1,:]), axis=0)
+    # Ey = np.concatenate((E1, E2, E3), axis=1)
+    # Ey = np.concatenate((solver.pml_lx.Ey[:-1,:],solver.Ey[:-1,:]))
+    im1 = axs[1].imshow(solver.Ey.T, cmap="jet", vmax=1000, vmin=-1000, origin="lower")
     axs[1].add_patch(circ1)
 
-    axs[1].set_xlabel('x [m]')
-    axs[1].set_ylabel('y [m]')
-    axs[1].set_title('Ey [V/m]')
+    axs[1].set_xlabel("x [m]")
+    axs[1].set_ylabel("y [m]")
+    axs[1].set_title("Ey [V/m]")
     fig.colorbar(im1, ax=axs[1])
-    #E1 = np.concatenate((solver.pml_lxly.Hz, solver.pml_ly.Hz, solver.pml_rxly.Hz), axis=0)
-    #E2 = np.concatenate((solver.pml_lx.Hz, solver.Hz, solver.pml_rx.Hz), axis=0)
-    #E3 = np.concatenate((solver.pml_lxry.Hz, solver.pml_ry.Hz, solver.pml_rxry.Hz), axis=0)
-    #Hz = np.concatenate((E1, E2, E3), axis=1)
-    #Hz = np.concatenate((solver.pml_lx.Hz,solver.Hz))
-    im1 = axs[2].imshow(solver.Hz.T, cmap='jet', vmax=2, vmin=-2, origin = 'lower')
+    # E1 = np.concatenate((solver.pml_lxly.Hz, solver.pml_ly.Hz, solver.pml_rxly.Hz), axis=0)
+    # E2 = np.concatenate((solver.pml_lx.Hz, solver.Hz, solver.pml_rx.Hz), axis=0)
+    # E3 = np.concatenate((solver.pml_lxry.Hz, solver.pml_ry.Hz, solver.pml_rxry.Hz), axis=0)
+    # Hz = np.concatenate((E1, E2, E3), axis=1)
+    # Hz = np.concatenate((solver.pml_lx.Hz,solver.Hz))
+    im1 = axs[2].imshow(solver.Hz.T, cmap="jet", vmax=2, vmin=-2, origin="lower")
     axs[2].add_patch(circ2)
-    axs[2].set_xlabel('x [m]')
-    axs[2].set_ylabel('y [m]')
-    axs[2].set_title('Hz [A/m]')
+    axs[2].set_xlabel("x [m]")
+    axs[2].set_ylabel("y [m]")
+    axs[2].set_title("Hz [A/m]")
 
     fig.colorbar(im1, ax=axs[2])
     plt.suptitle(str(solver.time))
@@ -165,13 +167,12 @@
     # axs[1,2].set_ylabel('y [m]')
     # axs[1,2].set_title('Ez [V/m]')
     # fig.colorbar(im1, ax=axs[1,2])
-    folder = sol_type + '_scatter_circle'
+    folder = sol_type + "_scatter_circle"
     if not os.path.exists(folder):
         os.mkdir(folder)
 
-    filename = folder + '/%d.png' % t
+    filename = folder + "/%d.png" % t
     plt.savefig(filename)
     plt.close(fig)
     solver.one_step()
     solver.Hz[i_s, j_s] += solver.gauss(solver.time)
-
diff --git a/examples/fdtd/script_sphere.py b/examples/fdtd/script_sphere.py
index 69b34ec..65b77e2 100644
--- a/examples/fdtd/script_sphere.py
+++ b/examples/fdtd/script_sphere.py
@@ -1,53 +1,51 @@
 import numpy as np
 from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-import matplotlib
+
 # matplotlib.use('Agg')
 from matplotlib import pyplot as plt
-from matplotlib import patches
 import os
 from tqdm import tqdm
 from solver3D import EMSolver3D
 from grid3D import Grid3D
-from conductors3d import InCube, ConductorsAssembly, OutSphere, Plane, noConductor
+from conductors3d import ConductorsAssembly, OutSphere
 from scipy.special import spherical_jn
 
 Z0 = np.sqrt(mu_0 / eps_0)
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 50
 Nx = N
 Ny = N
 Nz = N
-Lx = 0.5*L
-Ly = 0.5*L
-Lz = 0.5*L
+Lx = 0.5 * L
+Ly = 0.5 * L
+Lz = 0.5 * L
 dx = L / Nx
 dy = L / Ny
 dz = L / Nz
 
 r_sphere = 0.3
-xmin = -L / 2 # + dx / 2
-xmax = L / 2 #+ dx / 2
-ymin = -L / 2 #+ dy / 2
-ymax = L / 2 #+ dy / 2
-zmin = -L / 2 #+ dz / 2
-zmax = L / 2 #+ dz / 2
+xmin = -L / 2  # + dx / 2
+xmax = L / 2  # + dx / 2
+ymin = -L / 2  # + dy / 2
+ymax = L / 2  # + dy / 2
+zmin = -L / 2  # + dz / 2
+zmax = L / 2  # + dz / 2
 
 x_cent = 0
 y_cent = 0
 z_cent = 0
 
 
-
 sphere = OutSphere(r_sphere, x_cent, y_cent, z_cent)
 conductors = ConductorsAssembly([sphere])
 
-#sphere = noConductor()
-#conductors = ConductorsAssembly([sphere])
+# sphere = noConductor()
+# conductors = ConductorsAssembly([sphere])
 
 # conductors = cube
-sol_type = 'FDTD'
+sol_type = "FDTD"
 
 grid = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, sol_type)
 i_s = int(Nx / 2)
@@ -57,8 +55,8 @@
 
 flag_in_conductor = np.zeros((Nx, Ny, Nz), dtype=bool)
 
-bc_low = ['dirichlet', 'dirichlet', 'dirichlet']
-bc_high = ['dirichlet', 'dirichlet', 'dirichlet']
+bc_low = ["dirichlet", "dirichlet", "dirichlet"]
+bc_high = ["dirichlet", "dirichlet", "dirichlet"]
 solver = EMSolver3D(grid, sol_type, NCFL, i_s, j_s, k_s, bc_low, bc_high)
 
 # Constants
@@ -71,38 +69,53 @@
 Nborrow = np.zeros((Nx, Ny, Nz))
 Nlend = np.zeros((Nx, Ny, Nz))
 
-'''
+"""
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
             Nborrow[ii, jj, kk] = len(grid.borrowing_xy[ii, jj, kk])
             Nlend[ii, jj, kk] = len(grid.lending_xy[ii, jj, kk])
-'''
+"""
 
 m = 0
 n = 1
 p = 1
 
-k=2.7437/r_sphere
+k = 2.7437 / r_sphere
+
 
 def analytic_H(x, y, z, t):
-    r = np.sqrt(np.square(x)+np.square(y)+np.square(z))
-    theta = np.arctan2(np.sqrt(np.square(x)+ np.square(y)), z)
+    r = np.sqrt(np.square(x) + np.square(y) + np.square(z))
+    theta = np.arctan2(np.sqrt(np.square(x) + np.square(y)), z)
     phi = np.arctan2(y, x)
     H_r = 0
     H_theta = 0
-    H_phi = k/(r_sphere*mu_r)*spherical_jn(1, k*r)*np.sin(theta)*np.cos(k*c_light*t)
-
-    H_x = H_r * np.sin(theta)*np.cos(phi) + H_theta * np.cos(theta)*np.cos(phi) - H_phi*np.sin(phi)
-    H_y = H_r * np.cos(theta)*np.cos(phi) + H_theta * np.cos(theta)*np.sin(phi) + H_phi*np.cos(phi)
-    H_z = H_r*np.cos(theta) - H_theta*np.sin(theta)
+    H_phi = (
+        k
+        / (r_sphere * mu_r)
+        * spherical_jn(1, k * r)
+        * np.sin(theta)
+        * np.cos(k * c_light * t)
+    )
+
+    H_x = (
+        H_r * np.sin(theta) * np.cos(phi)
+        + H_theta * np.cos(theta) * np.cos(phi)
+        - H_phi * np.sin(phi)
+    )
+    H_y = (
+        H_r * np.cos(theta) * np.cos(phi)
+        + H_theta * np.cos(theta) * np.sin(phi)
+        + H_phi * np.cos(phi)
+    )
+    H_z = H_r * np.cos(theta) - H_theta * np.sin(theta)
 
     return H_x, H_y, H_z
 
+
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
-
             if grid.flag_int_cell_xy[ii, jj, kk]:
                 x = (ii + 0.5) * dx + xmin
                 y = (jj + 0.5) * dy + ymin
@@ -123,79 +136,98 @@ def analytic_H(x, y, z, t):
 
 Tf = 6 * np.sqrt(2) * (r_sphere / c_light)
 Nt = int(Tf / solver.dt)
-#Nt = 1
+# Nt = 1
 
 res_Hy = np.zeros(Nt)
 res_Ex = np.zeros(Nt)
 res_Hz = np.zeros(Nt)
 
 fields_norms = False
-#Nt = 1
+# Nt = 1
 for t in tqdm(range(Nt)):
-
     if fields_norms:
         fig, axs = plt.subplots(1, 2, figsize=(16, 8))
         fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
-        norme = np.sqrt(np.square(solver.Ex[:, :, k_s]) + np.square(solver.Ey[:, :, k_s]) + np.square(solver.Ez[:, :, k_s]))
-        normh = np.sqrt(np.square(solver.Hx[:, :, k_s]) + np.square(solver.Hy[:, :, k_s]) + np.square(solver.Hz[:, :, k_s]))
-
-        im1 = axs[0].imshow(norme, cmap='jet', vmax=530, vmin=-530)  # ,extent=[0, L , 0, L ])
-        axs[0].set_xlabel('x [m]')
-        axs[0].set_ylabel('y [m]')
-        axs[0].set_title('||E|| [V/m]')
+        norme = np.sqrt(
+            np.square(solver.Ex[:, :, k_s])
+            + np.square(solver.Ey[:, :, k_s])
+            + np.square(solver.Ez[:, :, k_s])
+        )
+        normh = np.sqrt(
+            np.square(solver.Hx[:, :, k_s])
+            + np.square(solver.Hy[:, :, k_s])
+            + np.square(solver.Hz[:, :, k_s])
+        )
+
+        im1 = axs[0].imshow(
+            norme, cmap="jet", vmax=530, vmin=-530
+        )  # ,extent=[0, L , 0, L ])
+        axs[0].set_xlabel("x [m]")
+        axs[0].set_ylabel("y [m]")
+        axs[0].set_title("||E|| [V/m]")
         fig.colorbar(im1, ax=axs[0])
-        im1 = axs[1].imshow(normh, cmap='jet', vmax=1, vmin=-1)
-        axs[1].set_xlabel('x [m]')
-        axs[1].set_ylabel('y [m]')
-        axs[1].set_title('||H|| [V/m]')
+        im1 = axs[1].imshow(normh, cmap="jet", vmax=1, vmin=-1)
+        axs[1].set_xlabel("x [m]")
+        axs[1].set_ylabel("y [m]")
+        axs[1].set_title("||H|| [V/m]")
         fig.colorbar(im1, ax=axs[1])
     else:
         fig, axs = plt.subplots(2, 3, figsize=(16, 10))
         fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
 
-        im1 = axs[0, 0].imshow(solver.Ex[:, :, k_s], cmap='jet', vmax=1500, vmin=-1500)  # ,extent=[0, L , 0, L ])
-        axs[0, 0].set_xlabel('x [m]')
-        axs[0, 0].set_ylabel('y [m]')
-        axs[0, 0].set_title('Ex [V/m]')
-        fig.colorbar(im1, ax=axs[0, 0], )
-        im1 = axs[0, 1].imshow(solver.Ey[:, :, k_s], cmap='jet', vmax=1500, vmin=-1500)
-        axs[0, 1].set_xlabel('x [m]')
-        axs[0, 1].set_ylabel('y [m]')
-        axs[0, 1].set_title('Ey [V/m]')
+        im1 = axs[0, 0].imshow(
+            solver.Ex[:, :, k_s], cmap="jet", vmax=1500, vmin=-1500
+        )  # ,extent=[0, L , 0, L ])
+        axs[0, 0].set_xlabel("x [m]")
+        axs[0, 0].set_ylabel("y [m]")
+        axs[0, 0].set_title("Ex [V/m]")
+        fig.colorbar(
+            im1,
+            ax=axs[0, 0],
+        )
+        im1 = axs[0, 1].imshow(solver.Ey[:, :, k_s], cmap="jet", vmax=1500, vmin=-1500)
+        axs[0, 1].set_xlabel("x [m]")
+        axs[0, 1].set_ylabel("y [m]")
+        axs[0, 1].set_title("Ey [V/m]")
         fig.colorbar(im1, ax=axs[0, 1])
-        im1 = axs[0, 2].imshow(solver.Ez[:, :, k_s], cmap='jet', vmax=5000, vmin=-5000)
-        axs[0, 2].set_xlabel('x [m]')
-        axs[0, 2].set_ylabel('y [m]')
-        axs[0, 2].set_title('Ez [V/m]')
+        im1 = axs[0, 2].imshow(solver.Ez[:, :, k_s], cmap="jet", vmax=5000, vmin=-5000)
+        axs[0, 2].set_xlabel("x [m]")
+        axs[0, 2].set_ylabel("y [m]")
+        axs[0, 2].set_title("Ez [V/m]")
         fig.colorbar(im1, ax=axs[0, 2])
-        im1 = axs[1, 0].imshow(solver.Hx[:, :, k_s], cmap='jet', vmax=8, vmin=-8)  # ,extent=[0, L , 0, L ])
-        axs[1, 0].set_xlabel('x [m]')
-        axs[1, 0].set_ylabel('y [m]')
-        axs[1, 0].set_title('Hx [A/m]')
-        fig.colorbar(im1, ax=axs[1, 0], )
-        im1 = axs[1, 1].imshow(solver.Hy[:, :, k_s], cmap='jet', vmax=8, vmin=-8)
-        axs[1, 1].set_xlabel('x [m]')
-        axs[1, 1].set_ylabel('y [m]')
-        axs[1, 1].set_title('Hy [A/m]')
+        im1 = axs[1, 0].imshow(
+            solver.Hx[:, :, k_s], cmap="jet", vmax=8, vmin=-8
+        )  # ,extent=[0, L , 0, L ])
+        axs[1, 0].set_xlabel("x [m]")
+        axs[1, 0].set_ylabel("y [m]")
+        axs[1, 0].set_title("Hx [A/m]")
+        fig.colorbar(
+            im1,
+            ax=axs[1, 0],
+        )
+        im1 = axs[1, 1].imshow(solver.Hy[:, :, k_s], cmap="jet", vmax=8, vmin=-8)
+        axs[1, 1].set_xlabel("x [m]")
+        axs[1, 1].set_ylabel("y [m]")
+        axs[1, 1].set_title("Hy [A/m]")
         fig.colorbar(im1, ax=axs[1, 1])
-        im1 = axs[1, 2].imshow(solver.Hz[:, :, k_s], cmap='jet', vmax=8, vmin=-8)
-        axs[1, 2].set_xlabel('x [m]')
-        axs[1, 2].set_ylabel('y [m]')
-        axs[1, 2].set_title('Hz [A/m]')
+        im1 = axs[1, 2].imshow(solver.Hz[:, :, k_s], cmap="jet", vmax=8, vmin=-8)
+        axs[1, 2].set_xlabel("x [m]")
+        axs[1, 2].set_ylabel("y [m]")
+        axs[1, 2].set_title("Hz [A/m]")
         fig.colorbar(im1, ax=axs[1, 2])
     plt.suptitle(str(solver.time))
 
-    folder = sol_type + '_sphere'
+    folder = sol_type + "_sphere"
     if not os.path.exists(folder):
         os.mkdir(folder)
 
-    filename = folder + '/%d.png' % t
+    filename = folder + "/%d.png" % t
     plt.savefig(filename)
     plt.close(fig)
 
-    i_probe = int(Nx/2)
-    j_probe = int(Ny/2)
-    k_probe = int(Nz/2)
+    i_probe = int(Nx / 2)
+    j_probe = int(Ny / 2)
+    k_probe = int(Nz / 2)
     res_Hy[t] = solver.Hy[i_probe, j_probe, k_probe]
     res_Hz[t] = solver.Hz[i_probe, k_probe, k_probe]
     res_Ex[t] = solver.Ex[i_probe, j_probe, k_probe]
@@ -204,7 +236,7 @@ def analytic_H(x, y, z, t):
     # solver.Jx[i_s, j_s, k_s] = solver.gauss(solver.time)
     # solver.Hz[i_s, j_s, k_s] += solver.gauss(solver.time)
     # solver.Jz[i_s, j_s, k_s] = solver.gauss(solver.time)
-'''
+"""
 fig, axs = plt.subplots(2, 3, figsize=(16, 10))
 fig.subplots_adjust(left=0.05, bottom=0.1, right=0.97, top=0.94, wspace=0.15)
 axs[0, 0].imshow(grid.flag_int_cell_xy[:, :, k_s])
@@ -213,4 +245,4 @@ def analytic_H(x, y, z, t):
 axs[1, 0].imshow(solver.Hz[:, :, k_s], cmap='jet')
 axs[1, 1].imshow(solver.Hx[:, :, k_s], cmap='jet')
 axs[1, 2].imshow(solver.Hy[:, :, k_s], cmap='jet')
-'''
+"""
diff --git a/examples/fit/script_2solids_fit.py b/examples/fit/script_2solids_fit.py
index 0358785..c37b3d5 100644
--- a/examples/fit/script_2solids_fit.py
+++ b/examples/fit/script_2solids_fit.py
@@ -1,16 +1,12 @@
 import numpy as np
 import matplotlib.pyplot as plt
-import os, sys
 import pyvista as pv
 from tqdm import tqdm
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 from scipy.constants import c as c_light
 
-sys.path.append('../')
-
 from solverFIT3D import SolverFIT3D
-from gridFIT3D import GridFIT3D 
-from field import Field 
+from gridFIT3D import GridFIT3D
 
 
 # ---------- Domain setup ---------
@@ -20,138 +16,164 @@
 Nz = 200
 
 # Embedded boundaries
-stl_file1 = 'stl/rect.stl'
-stl_file2 = 'stl/wakis.stl'
-stl_solids = {'Solid 1': stl_file1, 'Solid 2': stl_file2 }
+stl_file1 = "stl/rect.stl"
+stl_file2 = "stl/wakis.stl"
+stl_solids = {"Solid 1": stl_file1, "Solid 2": stl_file2}
 stl_rotate = [0, -90, 0]
-stl_translate = {'Solid 1': [0,0,0], 'Solid 2': [-5, 0, 0]}
+stl_translate = {"Solid 1": [0, 0, 0], "Solid 2": [-5, 0, 0]}
 stl_scale = 1e-3
 
 # Materials: [eps_r, mu_r]
-stl_materials = {'Solid 1': [5., 1.], 'Solid 2': 'PEC'}
+stl_materials = {"Solid 1": [5.0, 1.0], "Solid 2": "PEC"}
 
 # Domain bounds (from stl_file1)
 surf1 = pv.read(stl_file1)
 surf1 = surf1.rotate_x(stl_rotate[0]).rotate_y(stl_rotate[1]).rotate_z(stl_rotate[2])
-surf1 = surf1.translate(stl_translate['Solid 1'])
+surf1 = surf1.translate(stl_translate["Solid 1"])
 surf1 = surf1.scale(stl_scale)
 
 surf2 = pv.read(stl_file2)
 surf2 = surf2.rotate_x(stl_rotate[0]).rotate_y(stl_rotate[1]).rotate_z(stl_rotate[2])
-surf2 = surf2.translate(stl_translate['Solid 2'])
+surf2 = surf2.translate(stl_translate["Solid 2"])
 surf2 = surf2.scale(stl_scale)
 
 xmin, xmax, ymin, ymax, zmin, zmax = surf1.bounds
-padx, pady, padz = (xmax-xmin)*0.1, (ymax-ymin)*0.2, (zmax-zmin)*0.1
+padx, pady, padz = (xmax - xmin) * 0.1, (ymax - ymin) * 0.2, (zmax - zmin) * 0.1
 
-xmin, ymin, zmin = (xmin-padx), (ymin-pady), (zmin-padz)
-xmax, ymax, zmax = (xmax+padx), (ymax+pady), (zmax+padz)
+xmin, ymin, zmin = (xmin - padx), (ymin - pady), (zmin - padz)
+xmax, ymax, zmax = (xmax + padx), (ymax + pady), (zmax + padz)
 
 # boundary conditions
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
 # set FIT solver
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, 
-                stl_solids=stl_solids, 
-                stl_rotate=stl_rotate,
-                stl_scale=stl_scale,
-                stl_materials=stl_materials)
-
-solver = SolverFIT3D(grid, 
-                     bc_low=bc_low, bc_high=bc_high, 
-                     use_stl=True)
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_rotate=stl_rotate,
+    stl_scale=stl_scale,
+    stl_materials=stl_materials,
+)
+
+solver = SolverFIT3D(grid, bc_low=bc_low, bc_high=bc_high, use_stl=True)
 
 # Plot geometry
 plot_geometry = False
 if plot_geometry:
     pl = pv.Plotter()
-    pl.add_mesh(grid.grid, show_edges=True, style='wireframe', color='w', opacity=0.15)
-    pl.add_mesh(surf1, show_edges=False, color='b', opacity=0.25)
-    pl.add_mesh(surf2, show_edges=False, color='r', opacity=0.55)
+    pl.add_mesh(grid.grid, show_edges=True, style="wireframe", color="w", opacity=0.15)
+    pl.add_mesh(surf1, show_edges=False, color="b", opacity=0.25)
+    pl.add_mesh(surf2, show_edges=False, color="r", opacity=0.55)
     pl.show()
 
 # ------------ Plot functions ---------------
-plane = 'YZ'
-
-if plane == 'XY':
-    x, y, z = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-    title = '(x,y,Nz/2)'
-    xax, yax = 'y', 'x'
-    extent = [0,Ny,0,Nx]
+plane = "YZ"
 
-if plane == 'YZ':
-    x, y, z = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-    title = '(Nx/2,y,z)'
-    xax, yax = 'z', 'y'
-    extent = [0,Nz,0,Ny]
+if plane == "XY":
+    x, y, z = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+    title = "(x,y,Nz/2)"
+    xax, yax = "y", "x"
+    extent = [0, Ny, 0, Nx]
 
-def plot_E_field(solver, n, patch_stl=False):
+if plane == "YZ":
+    x, y, z = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+    title = "(Nx/2,y,z)"
+    xax, yax = "z", "y"
+    extent = [0, Nz, 0, Ny]
 
-    fig, ax = plt.subplots(1,1,figsize=[8,4], dpi=150)
-    vmin, vmax = 0., 1.e6
 
-    im = ax.imshow(solver.E.get_abs()[x, y, z], cmap='jet', extent=extent, origin='lower', vmin=vmin, vmax=vmax,)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FIT Abs(E){title}, timestep={n}')
+def plot_E_field(solver, n, patch_stl=False):
+    fig, ax = plt.subplots(1, 1, figsize=[8, 4], dpi=150)
+    vmin, vmax = 0.0, 1.0e6
+
+    im = ax.imshow(
+        solver.E.get_abs()[x, y, z],
+        cmap="jet",
+        extent=extent,
+        origin="lower",
+        vmin=vmin,
+        vmax=vmax,
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FIT Abs(E){title}, timestep={n}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
     # Patch stl
     if patch_stl:
-        mask = np.reshape(grid.grid['Solid 2'], (Nx, Ny, Nz))
+        mask = np.reshape(grid.grid["Solid 2"], (Nx, Ny, Nz))
         patch = np.ones((Nx, Ny, Nz))
         patch[np.logical_not(mask)] = np.nan
-        ax.imshow(patch[x,y,z], cmap='Greys', extent=extent, origin='lower', alpha=0.2)
+        ax.imshow(
+            patch[x, y, z], cmap="Greys", extent=extent, origin="lower", alpha=0.2
+        )
 
-    #fig.suptitle(f'Abs(E) field, timestep={n}')
+    # fig.suptitle(f'Abs(E) field, timestep={n}')
     fig.tight_layout()
-    fig.savefig('imgAbsE/'+str(n).zfill(4)+'.png')
+    fig.savefig("imgAbsE/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
-def plot_H_field(solver, n, patch_stl=False):
 
-    fig, ax = plt.subplots(1,1, figsize=[8,4])
-    vmin, vmax = 0, 1.e3
-    
-    im = ax.imshow(solver.H.get_abs()[x, y, z], cmap='jet', extent=extent, origin='lower', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FIT Abs(H){title}, timestep={n}')
+def plot_H_field(solver, n, patch_stl=False):
+    fig, ax = plt.subplots(1, 1, figsize=[8, 4])
+    vmin, vmax = 0, 1.0e3
+
+    im = ax.imshow(
+        solver.H.get_abs()[x, y, z],
+        cmap="jet",
+        extent=extent,
+        origin="lower",
+        vmin=vmin,
+        vmax=vmax,
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FIT Abs(H){title}, timestep={n}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
     # Patch stl
     if patch_stl:
-        mask = np.reshape(grid.grid['Solid 2'], (Nx, Ny, Nz))
+        mask = np.reshape(grid.grid["Solid 2"], (Nx, Ny, Nz))
         patch = np.ones((Nx, Ny, Nz))
         patch[np.logical_not(mask)] = np.nan
-        ax.imshow(patch[x,y,z], cmap='Greys', extent=extent, origin='lower', alpha=0.2)
-    
-    #fig.suptitle(f'Abs(H) field, timestep={n}')
+        ax.imshow(
+            patch[x, y, z], cmap="Greys", extent=extent, origin="lower", alpha=0.2
+        )
+
+    # fig.suptitle(f'Abs(H) field, timestep={n}')
     fig.tight_layout()
-    fig.savefig('imgAbsH/'+str(n).zfill(4)+'.png')
+    fig.savefig("imgAbsH/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
 
 # ------------ Time loop ----------------
 
-solver.J[int(Nx/2), int(Ny/2), 0, 'z'] = 1.0*c_light
-solver.J[int(Nx/2), int(Ny/2), Nz-2, 'z'] = 1.0*c_light
-solver.J[int(Nx/2), 1, int(Nz/2), 'z'] = 1.0*c_light
-solver.J[int(Nx/2), Ny-2, int(Nz/2), 'z'] = 1.0*c_light
+solver.J[int(Nx / 2), int(Ny / 2), 0, "z"] = 1.0 * c_light
+solver.J[int(Nx / 2), int(Ny / 2), Nz - 2, "z"] = 1.0 * c_light
+solver.J[int(Nx / 2), 1, int(Nz / 2), "z"] = 1.0 * c_light
+solver.J[int(Nx / 2), Ny - 2, int(Nz / 2), "z"] = 1.0 * c_light
 
 Nt = 1000
 for n in tqdm(range(Nt)):
-
     # Advance
     solver.one_step()
 
     # Plot
-    if n%10 == 0:
+    if n % 10 == 0:
         plot_E_field(solver, n)
         plot_H_field(solver, n)
-
-
-
diff --git a/examples/fit/script_PML_fit.py b/examples/fit/script_PML_fit.py
index 19de398..9630c95 100644
--- a/examples/fit/script_PML_fit.py
+++ b/examples/fit/script_PML_fit.py
@@ -1,14 +1,13 @@
 import numpy as np
 import matplotlib.pyplot as plt
-import os, sys
 import h5py
 from tqdm import tqdm
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import c as c_light, mu_0 as mu_0
 from mpl_toolkits.mplot3d import Axes3D
-sys.path.append('../')
+
 
 from solverFIT3D import SolverFIT3D
-from gridFIT3D import GridFIT3D 
+from gridFIT3D import GridFIT3D
 from sources import Pulse
 
 # ---------- Domain setup ---------
@@ -20,116 +19,157 @@
 Nz = 20
 
 # boundary conditions
-bcx = 'pml'
-bcy = 'pec'
-bc_low=[bcx, bcy, 'pec']
-bc_high=[bcx, bcy, 'pec']
+bcx = "pml"
+bcy = "pec"
+bc_low = [bcx, bcy, "pec"]
+bc_high = [bcx, bcy, "pec"]
 
-if bcx == 'pml':
-    bcx += 'v3'
+if bcx == "pml":
+    bcx += "v3"
     n_pml = 30
     Nx += n_pml
 
-# set grid 
-xmin, xmax, ymin, ymax, zmin, zmax = -Nx/2, Nx/2, -Ny/2, Ny/2, -Nz/2, Nz/2
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz) 
+# set grid
+xmin, xmax, ymin, ymax, zmin, zmax = -Nx / 2, Nx / 2, -Ny / 2, Ny / 2, -Nz / 2, Nz / 2
+grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz)
 
 # set solver
-solver = SolverFIT3D(grid, dt=0.5*grid.dx/c_light,
-                     bc_low=bc_low, bc_high=bc_high)
+solver = SolverFIT3D(grid, dt=0.5 * grid.dx / c_light, bc_low=bc_low, bc_high=bc_high)
 
 # set source
-source = Pulse(field='Ez', 
-               xs=25+n_pml, ys=100, zs=slice(0,Nz), #zs=int(Nz/2),
-               shape='harris', L=50*solver.dx)
+source = Pulse(
+    field="Ez",
+    xs=25 + n_pml,
+    ys=100,
+    zs=slice(0, Nz),  # zs=int(Nz/2),
+    shape="harris",
+    L=50 * solver.dx,
+)
 
 # ------------ Time loop ----------------
 run = True
 if run:
-    Nt = 200 
+    Nt = 200
     plot = True
     for n in tqdm(range(Nt)):
         # Advance
         solver.one_step()
 
         # Update source
-        source.update(solver, n*solver.dt)
+        source.update(solver, n * solver.dt)
 
         # Clean z-dir
-        #for k in range(1,Nz-1):
+        # for k in range(1,Nz-1):
         #    solver.E[:,:,k,'z'] = solver.E[:,:,int(Nz/2),'z']
 
         # Plot
-        if plot and n%5==0:
-            solver.plot2D(field='E', component='Abs', plane='XY', pos=0.5, 
-                    norm=None, vmin=0, vmax=1.e-1, figsize=[8,4], cmap='jet', 
-                    title='imgEpml/Ez', off_screen=True, n=n, interpolation='spline36')
+        if plot and n % 5 == 0:
+            solver.plot2D(
+                field="E",
+                component="Abs",
+                plane="XY",
+                pos=0.5,
+                norm=None,
+                vmin=0,
+                vmax=1.0e-1,
+                figsize=[8, 4],
+                cmap="jet",
+                title="imgEpml/Ez",
+                off_screen=True,
+                n=n,
+                interpolation="spline36",
+            )
 
     # Plot 2D
     plot = False
     if plot:
         Y_r, X_r = np.meshgrid(solver.y, solver.x)
-        #hf = h5py.File(f'Ez_test_pec.h5', 'r')
-        field = np.abs(solver.E[:,:,int(Nz/2),'z']) #- np.abs(hf['Ez'])
+        # hf = h5py.File(f'Ez_test_pec.h5', 'r')
+        field = np.abs(solver.E[:, :, int(Nz / 2), "z"])  # - np.abs(hf['Ez'])
 
         fig = plt.figure(1, tight_layout=False, dpi=200)
-        ax = fig.add_subplot(111, projection='3d')
-
-        #ax.plot_surface(X_R, Y_R, abs(R), cmap='jet', rstride=1,  cstride=1, linewidth=0, alpha=1, antialiased=False)
-        ax.plot_surface(X_r, Y_r, field, cmap='jet', rstride=1,  cstride=1, linewidth=0, alpha=1, antialiased=False)
-        
-        ax.set_xlabel('x [a.u.]', labelpad=10)
-        ax.set_ylabel('y [a.u.]', labelpad=20)
-        ax.set_zlabel('Ez [V/m]', labelpad=10)   
-        ax.set_xlim(-50-n_pml/2,50+n_pml/2)
-        ax.set_ylim(-100,100)
-        ax.set_zticks(np.linspace(0, np.max(field), 2), labels= ['0', '{:.2e}'.format(np.max(field))])  
+        ax = fig.add_subplot(111, projection="3d")
+
+        # ax.plot_surface(X_R, Y_R, abs(R), cmap='jet', rstride=1,  cstride=1, linewidth=0, alpha=1, antialiased=False)
+        ax.plot_surface(
+            X_r,
+            Y_r,
+            field,
+            cmap="jet",
+            rstride=1,
+            cstride=1,
+            linewidth=0,
+            alpha=1,
+            antialiased=False,
+        )
+
+        ax.set_xlabel("x [a.u.]", labelpad=10)
+        ax.set_ylabel("y [a.u.]", labelpad=20)
+        ax.set_zlabel("Ez [V/m]", labelpad=10)
+        ax.set_xlim(-50 - n_pml / 2, 50 + n_pml / 2)
+        ax.set_ylim(-100, 100)
+        ax.set_zticks(
+            np.linspace(0, np.max(field), 2),
+            labels=["0", "{:.2e}".format(np.max(field))],
+        )
         ax.get_proj = lambda: np.dot(Axes3D.get_proj(ax), np.diag([1.0, 1.0, 0.4, 1]))
 
-        #fig.savefig(f'imgEpml/Ezsurf_{str(n).zfill(5)}')
-        #plt.close()
+        # fig.savefig(f'imgEpml/Ezsurf_{str(n).zfill(5)}')
+        # plt.close()
         plt.show()
 
     # Save
-    hf = h5py.File(f'Ez_test_{bcx}.h5', 'w')
-    hf['x'], hf['y'], hf['z'] = solver.x, solver.y, solver.z
-    hf['t'] = np.arange(0, Nt*solver.dt, solver.dt)
-    hf['Ez'] = solver.E[:,:,int(Nz/2),'z']
+    hf = h5py.File(f"Ez_test_{bcx}.h5", "w")
+    hf["x"], hf["y"], hf["z"] = solver.x, solver.y, solver.z
+    hf["t"] = np.arange(0, Nt * solver.dt, solver.dt)
+    hf["Ez"] = solver.E[:, :, int(Nz / 2), "z"]
     hf.close()
 
 # ------------ Compute reflection ----------------
-ht = h5py.File(f'Ez_test_{bcx}.h5', 'r')
-hr = h5py.File('Ez_ref.h5', 'r')
+ht = h5py.File(f"Ez_test_{bcx}.h5", "r")
+hr = h5py.File("Ez_ref.h5", "r")
 
-R = np.abs(ht['Ez'][0+n_pml:76+n_pml, :]) - np.abs(hr['Ez'][75:151, :]) #[76x201]
-R = R/np.max(np.abs(hr['Ez']))*100
+R = np.abs(ht["Ez"][0 + n_pml : 76 + n_pml, :]) - np.abs(
+    hr["Ez"][75:151, :]
+)  # [76x201]
+R = R / np.max(np.abs(hr["Ez"])) * 100
 
 ht.close()
 hr.close()
 
 # Save
-hres = h5py.File('R.h5', 'w')
+hres = h5py.File("R.h5", "w")
 hres[bcx] = R
 hres.close()
 
 plot = True
 if plot:
-    Y_r, X_r = np.meshgrid(solver.y, solver.x[0+n_pml:76+n_pml])
+    Y_r, X_r = np.meshgrid(solver.y, solver.x[0 + n_pml : 76 + n_pml])
     field = np.abs(R)
 
     fig = plt.figure(1, tight_layout=True, dpi=200)
-    ax = fig.add_subplot(111, projection='3d')
-
-    #ax.plot_surface(X_R, Y_R, abs(R), cmap='jet', rstride=1,  cstride=1, linewidth=0, alpha=1, antialiased=False)
-    ax.plot_surface(X_r, Y_r, field, cmap='plasma', rstride=1,  cstride=1, linewidth=0, alpha=1, antialiased=False)
-    
-    ax.set_xlabel('x [a.u.]', labelpad=10)
-    ax.set_ylabel('y [a.u.]', labelpad=20)
-    ax.set_zlabel('R [%]', labelpad=10)   
-    ax.set_xlim(-50+n_pml/2,25+n_pml/2)
-    ax.set_ylim(-100,100)
-    ax.set_zticks(np.linspace(0, np.max(field), 3))  
-    ax.get_proj = lambda: np.dot(Axes3D.get_proj(ax), np.diag([1.0, 1.0, 0.4, 1.]))
-    
-    fig.savefig('imgEpml/R.png')
+    ax = fig.add_subplot(111, projection="3d")
+
+    # ax.plot_surface(X_R, Y_R, abs(R), cmap='jet', rstride=1,  cstride=1, linewidth=0, alpha=1, antialiased=False)
+    ax.plot_surface(
+        X_r,
+        Y_r,
+        field,
+        cmap="plasma",
+        rstride=1,
+        cstride=1,
+        linewidth=0,
+        alpha=1,
+        antialiased=False,
+    )
+
+    ax.set_xlabel("x [a.u.]", labelpad=10)
+    ax.set_ylabel("y [a.u.]", labelpad=20)
+    ax.set_zlabel("R [%]", labelpad=10)
+    ax.set_xlim(-50 + n_pml / 2, 25 + n_pml / 2)
+    ax.set_ylim(-100, 100)
+    ax.set_zticks(np.linspace(0, np.max(field), 3))
+    ax.get_proj = lambda: np.dot(Axes3D.get_proj(ax), np.diag([1.0, 1.0, 0.4, 1.0]))
+
+    fig.savefig("imgEpml/R.png")
     plt.show()
diff --git a/examples/fit/script_PMLref_fit.py b/examples/fit/script_PMLref_fit.py
index f9ed1bc..1d4ce37 100644
--- a/examples/fit/script_PMLref_fit.py
+++ b/examples/fit/script_PMLref_fit.py
@@ -1,14 +1,13 @@
 import numpy as np
 import matplotlib.pyplot as plt
-import os, sys
 import h5py
 from tqdm import tqdm
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import c as c_light, mu_0 as mu_0
 from mpl_toolkits.mplot3d import Axes3D
-sys.path.append('../')
+
 
 from solverFIT3D import SolverFIT3D
-from gridFIT3D import GridFIT3D 
+from gridFIT3D import GridFIT3D
 from sources import Pulse
 
 # ---------- Domain setup ---------
@@ -19,71 +18,99 @@
 Nz = 20
 
 # Domain bounds: box 10cmx10cmx30cm
-xmin, xmax, ymin, ymax, zmin, zmax = -Nx/2, Nx/2, -Ny/2, Ny/2, -Nz/2, Nz/2
+xmin, xmax, ymin, ymax, zmin, zmax = -Nx / 2, Nx / 2, -Ny / 2, Ny / 2, -Nz / 2, Nz / 2
 
 # boundary conditions
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
-# set grid 
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz) 
+# set grid
+grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz)
 
 # set solver
-solver = SolverFIT3D(grid, dt=0.5*grid.dx/c_light,
-                     bc_low=bc_low, bc_high=bc_high)
+solver = SolverFIT3D(grid, dt=0.5 * grid.dx / c_light, bc_low=bc_low, bc_high=bc_high)
 
 # set source
-source = Pulse(field='Ez', 
-               xs=int(Nx/2), ys=int(Ny/2), zs=slice(0,Nz), #zs=int(Nz/2),
-               shape='harris', L=50*solver.dx)
+source = Pulse(
+    field="Ez",
+    xs=int(Nx / 2),
+    ys=int(Ny / 2),
+    zs=slice(0, Nz),  # zs=int(Nz/2),
+    shape="harris",
+    L=50 * solver.dx,
+)
 
 # ------------ Time loop ----------------
 
-Nt = 200 
+Nt = 200
 plot = False
 for n in tqdm(range(Nt)):
     # Advance
     solver.one_step()
 
     # Update source
-    source.update(solver, n*solver.dt)
+    source.update(solver, n * solver.dt)
 
     # Clean z-dir
-    #for k in range(1,Nz-1):
+    # for k in range(1,Nz-1):
     #    solver.E[:,:,k,'z'] = solver.E[:,:,int(Nz/2),'z']
 
     # Plot
-    if plot and n%2==0:
-        solver.plot2D(field='E', component='Abs', plane='XY', pos=0.5, 
-                norm=None, vmin=0, vmax=None, figsize=[8,4], cmap='jet', 
-                title='imgEpml/Ez', off_screen=True, n=n, interpolation='spline36')
+    if plot and n % 2 == 0:
+        solver.plot2D(
+            field="E",
+            component="Abs",
+            plane="XY",
+            pos=0.5,
+            norm=None,
+            vmin=0,
+            vmax=None,
+            figsize=[8, 4],
+            cmap="jet",
+            title="imgEpml/Ez",
+            off_screen=True,
+            n=n,
+            interpolation="spline36",
+        )
 
 
 # Save
-hf = h5py.File('Ez.h5', 'w')
-hf['x'], hf['y'], hf['z'] = solver.x, solver.y, solver.z
-hf['t'] = np.arange(0, Nt*solver.dt, solver.dt)
-hf['Ez'] = solver.E[:,:,int(Nz/2),'z']
+hf = h5py.File("Ez.h5", "w")
+hf["x"], hf["y"], hf["z"] = solver.x, solver.y, solver.z
+hf["t"] = np.arange(0, Nt * solver.dt, solver.dt)
+hf["Ez"] = solver.E[:, :, int(Nz / 2), "z"]
 hf.close()
 
 # Plot 2D
 plot = True
 if plot:
     Y_r, X_r = np.meshgrid(solver.y, solver.x)
-    field = np.abs(solver.E[:,:,int(Nz/2),'z'])
+    field = np.abs(solver.E[:, :, int(Nz / 2), "z"])
 
     fig = plt.figure(1, tight_layout=True, dpi=200)
-    ax = fig.add_subplot(111, projection='3d')
-
-    #ax.plot_surface(X_R, Y_R, abs(R), cmap='jet', rstride=1,  cstride=1, linewidth=0, alpha=1, antialiased=False)
-    ax.plot_surface(X_r, Y_r, field, cmap='jet', rstride=1,  cstride=1, linewidth=0, alpha=1, antialiased=False)
-    
-    ax.set_xlabel('x [a.u.]', labelpad=10)
-    ax.set_ylabel('y [a.u.]', labelpad=20)
-    ax.set_zlabel('Ez [V/m]', labelpad=10)   
-    ax.set_xlim(-100,100)
-    ax.set_ylim(-100,100)
-    ax.set_zticks(np.linspace(0, np.max(field), 2), labels= ['0', '{:.2e}'.format(np.max(field))])  
+    ax = fig.add_subplot(111, projection="3d")
+
+    # ax.plot_surface(X_R, Y_R, abs(R), cmap='jet', rstride=1,  cstride=1, linewidth=0, alpha=1, antialiased=False)
+    ax.plot_surface(
+        X_r,
+        Y_r,
+        field,
+        cmap="jet",
+        rstride=1,
+        cstride=1,
+        linewidth=0,
+        alpha=1,
+        antialiased=False,
+    )
+
+    ax.set_xlabel("x [a.u.]", labelpad=10)
+    ax.set_ylabel("y [a.u.]", labelpad=20)
+    ax.set_zlabel("Ez [V/m]", labelpad=10)
+    ax.set_xlim(-100, 100)
+    ax.set_ylim(-100, 100)
+    ax.set_zticks(
+        np.linspace(0, np.max(field), 2), labels=["0", "{:.2e}".format(np.max(field))]
+    )
     ax.get_proj = lambda: np.dot(Axes3D.get_proj(ax), np.diag([1.0, 1.0, 0.4, 1]))
 
-    plt.show()
\ No newline at end of file
+    plt.show()
diff --git a/examples/fit/script_cubcavity_fit.py b/examples/fit/script_cubcavity_fit.py
index aa40d03..7cf6a14 100644
--- a/examples/fit/script_cubcavity_fit.py
+++ b/examples/fit/script_cubcavity_fit.py
@@ -1,15 +1,13 @@
 import numpy as np
 import matplotlib.pyplot as plt
-import os, sys
 import pyvista as pv
 import h5py
 from tqdm import tqdm
 from scipy.constants import c as c_light
 
-sys.path.append('../')
-
 from solverFIT3D import SolverFIT3D
-from gridFIT3D import GridFIT3D 
+from gridFIT3D import GridFIT3D
+from wakeSolver import WakeSolver
 
 # ---------- Domain setup ---------
 # Number of mesh cells
@@ -18,92 +16,116 @@
 Nz = 150
 
 # Embedded boundaries
-stl_file = 'stl/cubcavity.stl' 
+stl_file = "stl/cubcavity.stl"
 surf = pv.read(stl_file)
 
-stl_solids = {'Cavity': stl_file}
-stl_materials = {'Cavity': 'vacuum'}
+stl_solids = {"Cavity": stl_file}
+stl_materials = {"Cavity": "vacuum"}
 
 # Domain bounds
 xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds
-Lx, Ly, Lz = (xmax-xmin), (ymax-ymin), (zmax-zmin)
+Lx, Ly, Lz = (xmax - xmin), (ymax - ymin), (zmax - zmin)
 
 # boundary conditions
-bc_low=['pec', 'pec', 'abc']
-bc_high=['pec', 'pec', 'abc']
+bc_low = ["pec", "pec", "abc"]
+bc_high = ["pec", "pec", "abc"]
 
 # set FIT solver
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, 
-                stl_solids=stl_solids, 
-                stl_materials=stl_materials)
-
-solver = SolverFIT3D(grid, 
-                     bc_low=bc_low, bc_high=bc_high, 
-                     use_stl=True, bg='pec')
-    
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_materials=stl_materials,
+)
+
+solver = SolverFIT3D(grid, bc_low=bc_low, bc_high=bc_high, use_stl=True, bg="pec")
+
 # ------------ Beam source ----------------
 # Beam parameters
-sigmaz = 18.5e-3    #[m]
-q = 1e-9            #[C]
-beta = 1.0          # beam beta
-xs = 0.             # x source position [m]
-ys = 0.             # y source position [m]
-xt = 0.             # x test position [m]
-yt = 0.             # y test position [m]
-tinj = 8.53*sigmaz/c_light  # injection time offset [s]
+sigmaz = 18.5e-3  # [m]
+q = 1e-9  # [C]
+beta = 1.0  # beam beta
+xs = 0.0  # x source position [m]
+ys = 0.0  # y source position [m]
+xt = 0.0  # x test position [m]
+yt = 0.0  # y test position [m]
+tinj = 8.53 * sigmaz / c_light  # injection time offset [s]
 
 x, y, z = solver.x, solver.y, solver.z
-ixs, iys = np.abs(x-xs).argmin(), np.abs(y-ys).argmin()
-ixt, iyt = np.abs(x-xt).argmin(), np.abs(y-yt).argmin()
+ixs, iys = np.abs(x - xs).argmin(), np.abs(y - ys).argmin()
+ixt, iyt = np.abs(x - xt).argmin(), np.abs(y - yt).argmin()
+
 
 def beam(solver, t):
     # Define gaussian
-    s0 = z.min()-c_light*tinj
-    s = z-c_light*t
-    profile = 1/np.sqrt(2*np.pi*sigmaz**2)*np.exp(-(s-s0)**2/(2*sigmaz**2))
+    s0 = z.min() - c_light * tinj
+    s = z - c_light * t
+    profile = (
+        1 / np.sqrt(2 * np.pi * sigmaz**2) * np.exp(-((s - s0) ** 2) / (2 * sigmaz**2))
+    )
 
     # Update current
-    current = q*c_light*profile/solver.dx/solver.dy
-    solver.J[ixs,iys,:,'z'] = current
+    current = q * c_light * profile / solver.dx / solver.dy
+    solver.J[ixs, iys, :, "z"] = current
+
 
 # ------------ Time loop ----------------
 # Define wake length
-wakelength = 1000*1e-3 #[m]
+wakelength = 1000 * 1e-3  # [m]
 
 # Obtain simulation time
-tmax = (wakelength + tinj*c_light + (zmax-zmin))/c_light #[s]
-Nt = int(tmax/solver.dt)
-t = np.arange(0, Nt*solver.dt, solver.dt)
-ninj = int(tinj/solver.dt)
+tmax = (wakelength + tinj * c_light + (zmax - zmin)) / c_light  # [s]
+Nt = int(tmax / solver.dt)
+t = np.arange(0, Nt * solver.dt, solver.dt)
+ninj = int(tinj / solver.dt)
 
 # Prepare save files
 save = True
 plot = False
 
 if save:
-    hf = h5py.File('results/Ez.h5', 'w')
-    hf2 = h5py.File('results/Jz.h5', 'w')
-    hf['x'], hf['y'], hf['z'], hf['t'] = x, y, z, t
+    hf = h5py.File("results/Ez.h5", "w")
+    hf2 = h5py.File("results/Jz.h5", "w")
+    hf["x"], hf["y"], hf["z"], hf["t"] = x, y, z, t
 
 for n in tqdm(range(Nt)):
-
     # Initial condition
-    beam(solver, n*solver.dt)
+    beam(solver, n * solver.dt)
 
     # Advance
     solver.one_step()
 
     # Plot 2D on-the-fly
-    if n>ninj and n%10 == 0 and plot:
-        solver.plot2D(field='E', component='y', plane='ZY', pos=0.5, norm=None, 
-                      vmin=-5e5, vmax=5e5, cmap='rainbow', patch_alpha=0.5, 
-                      add_patch='Cavity', patch_reverse=True, title='imgCav/Ey', off_screen=True,  
-                      n=n, interpolation='spline36')
-    
+    if n > ninj and n % 10 == 0 and plot:
+        solver.plot2D(
+            field="E",
+            component="y",
+            plane="ZY",
+            pos=0.5,
+            norm=None,
+            vmin=-5e5,
+            vmax=5e5,
+            cmap="rainbow",
+            patch_alpha=0.5,
+            add_patch="Cavity",
+            patch_reverse=True,
+            title="imgCav/Ey",
+            off_screen=True,
+            n=n,
+            interpolation="spline36",
+        )
+
     # Save in hdf5 format (needed for Impedance)
     if save:
-        hf['#'+str(n).zfill(5)]=solver.E[ixt, iyt, :, 'z'] 
-        #hf2['#'+str(n).zfill(5)]=solver.J[ixt, iyt, :, 'z'] 
+        hf["#" + str(n).zfill(5)] = solver.E[ixt, iyt, :, "z"]
+        # hf2['#'+str(n).zfill(5)]=solver.J[ixt, iyt, :, 'z']
 
 # Close save file
 if save:
@@ -113,17 +135,38 @@ def beam(solver, t):
 # Plot 3D built-in
 plot3d = False
 if plot3d:
-    solver.plot3D(field='E', component='Abs', clim=None, add_stl='Cavity', stl_opacity=0.0, 
-                stl_colors='white', field_on_stl=True, nan_opacity=1.0, field_opacity=1.0,
-                cmap='rainbow', off_screen=False, zoom=1.0, n=n)
+    solver.plot3D(
+        field="E",
+        component="Abs",
+        clim=None,
+        add_stl="Cavity",
+        stl_opacity=0.0,
+        stl_colors="white",
+        field_on_stl=True,
+        nan_opacity=1.0,
+        field_opacity=1.0,
+        cmap="rainbow",
+        off_screen=False,
+        zoom=1.0,
+        n=n,
+    )
 
 # ------------ Beam-coupling Impedance ----------------
-from wakeSolver import WakeSolver
 
 # Initialize wake solver with beam information
-wake = WakeSolver(q=q, sigmaz=sigmaz, beta=beta, ti=tinj,
-            xsource=xs, ysource=ys, xtest=xt, ytest=yt,
-            save=True, logfile=True, Ez_file='results/Ez.h5')
+wake = WakeSolver(
+    q=q,
+    sigmaz=sigmaz,
+    beta=beta,
+    ti=tinj,
+    xsource=xs,
+    ysource=ys,
+    xtest=xt,
+    ytest=yt,
+    save=True,
+    logfile=True,
+    Ez_file="results/Ez.h5",
+)
 
 # Compute beam-coupling impedance and wake potential
 wake.calc_long_WP()
@@ -131,16 +174,16 @@ def beam(solver, t):
 
 plot = True
 if plot:
-    fig, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)
-    ax[0].plot(wake.s*1e3, wake.WP, c='r', lw=1.5)
-    ax[0].set_xlabel('s [mm]')
-    ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='r')
+    fig, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)
+    ax[0].plot(wake.s * 1e3, wake.WP, c="r", lw=1.5)
+    ax[0].set_xlabel("s [mm]")
+    ax[0].set_ylabel("Longitudinal wake potential [V/pC]", color="r")
 
-    ax[1].plot(wake.f*1e-9, np.abs(wake.Z), c='b', lw=1.5)
-    ax[1].set_xlabel('f [GHz]')
-    ax[1].set_ylabel('Longitudinal impedance [Abs][$\Omega$]', color='b')
+    ax[1].plot(wake.f * 1e-9, np.abs(wake.Z), c="b", lw=1.5)
+    ax[1].set_xlabel("f [GHz]")
+    ax[1].set_ylabel("Longitudinal impedance [Abs][$\Omega$]", color="b")
 
     fig.tight_layout()
-    fig.savefig('results/longitudinal.png')
+    fig.savefig("results/longitudinal.png")
 
     plt.show()
diff --git a/examples/fit/script_cube_fit.py b/examples/fit/script_cube_fit.py
index 3785433..72e6c86 100644
--- a/examples/fit/script_cube_fit.py
+++ b/examples/fit/script_cube_fit.py
@@ -1,25 +1,20 @@
 import numpy as np
 from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-import matplotlib
+
 # matplotlib.use('Agg')
 from matplotlib import pyplot as plt
-from matplotlib import patches
-import os, sys
 from tqdm import tqdm
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 
-sys.path.append('../')
 
 from solverFIT3D import SolverFIT3D
 from solver3D import EMSolver3D
 from grid3D import Grid3D
-from conductors3d import noConductor, InCube, ConductorsAssembly
-from scipy.special import jv
-from field import Field 
+from conductors3d import InCube, ConductorsAssembly
 
 Z0 = np.sqrt(mu_0 / eps_0)
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 50
 Nx = N
@@ -32,146 +27,184 @@
 dy = L / Ny
 dz = L / Nz
 
-xmin = -Lx/2
-xmax = Lx/2 
-ymin = - Ly/2
-ymax = Ly/2
-zmin = - Lz/2 
-zmax = Lz/2 
-
-#Embedded cube 
-lx = Lx*0.7
-ly = Ly*0.7
-lz = Lz*0.7
+xmin = -Lx / 2
+xmax = Lx / 2
+ymin = -Ly / 2
+ymax = Ly / 2
+zmin = -Lz / 2
+zmax = Lz / 2
+
+# Embedded cube
+lx = Lx * 0.7
+ly = Ly * 0.7
+lz = Lz * 0.7
 x_cent = 0
 y_cent = 0
 z_cent = 0
-cube = InCube(lx, ly, lz, x_cent, y_cent, z_cent) #noConductor() 
+cube = InCube(lx, ly, lz, x_cent, y_cent, z_cent)  # noConductor()
 conductors = ConductorsAssembly([cube])
 
 NCFL = 1
 
 # set FIT solver
-gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FIT')
+gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FIT")
 solverFIT = SolverFIT3D(gridFIT)
 
 # set FDTD solver
-gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FDTD')
-solverFDTD = EMSolver3D(gridFDTD, 'FDTD', NCFL)
+gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FDTD")
+solverFDTD = EMSolver3D(gridFDTD, "FDTD", NCFL)
 
 # Initial conditions
-solverFIT.E[int(Nx/2), int(Ny/2), int(Nz/2), 'z'] = 1.0*c_light
-solverFDTD.Ez[int(Nx/2), int(Ny/2),  int(Nz/2)] = 1.0*c_light
+solverFIT.E[int(Nx / 2), int(Ny / 2), int(Nz / 2), "z"] = 1.0 * c_light
+solverFDTD.Ez[int(Nx / 2), int(Ny / 2), int(Nz / 2)] = 1.0 * c_light
 
 Nt = 50
-plane = 'XY'
+plane = "XY"
 
-if plane == 'XY':
-    x, y, z = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-    title = '(x,y,Nz/2)'
-    xax, yax = 'y', 'x'
+if plane == "XY":
+    x, y, z = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+    title = "(x,y,Nz/2)"
+    xax, yax = "y", "x"
 
-if plane == 'YZ':
-    x, y, z = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-    title = '(Nx/2,y,z)'
-    xax, yax = 'z', 'y'
+if plane == "YZ":
+    x, y, z = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+    title = "(Nx/2,y,z)"
+    xax, yax = "z", "y"
 
-def plot_E_field(solverFIT, solverFDTD, n):
 
-    fig, axs = plt.subplots(2,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
-    vmin, vmax = -1.e6, 1.e6
-    #FIT
+def plot_E_field(solverFIT, solverFDTD, n):
+    fig, axs = plt.subplots(2, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
+    vmin, vmax = -1.0e6, 1.0e6
+    # FIT
     extent = (0, N, 0, N)
-    for i, ax in enumerate(axs[0,:]):
-        #vmin, vmax = -np.max(np.abs(solverFIT.E[x, y, z, dims[i]])), np.max(np.abs(solverFIT.E[x, y, z, dims[i]]))
-        im = ax.imshow(solverFIT.E[x, y, z, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT E{dims[i]}{title}')
+    for i, ax in enumerate(axs[0, :]):
+        # vmin, vmax = -np.max(np.abs(solverFIT.E[x, y, z, dims[i]])), np.max(np.abs(solverFIT.E[x, y, z, dims[i]]))
+        im = ax.imshow(
+            solverFIT.E[x, y, z, dims[i]],
+            cmap="rainbow",
+            vmin=vmin,
+            vmax=vmax,
+            extent=extent,
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT E{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    #FDTD
-    ax = axs[1,0]
+    # FDTD
+    ax = axs[1, 0]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ex[x, y, z])), np.max(np.abs(solverFDTD.Ex[x, y, z]))
-    im = ax.imshow(solverFDTD.Ex[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ex{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ex[x, y, z])), np.max(np.abs(solverFDTD.Ex[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Ex[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ex{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,1]
+    ax = axs[1, 1]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ey[x, y, z])), np.max(np.abs(solverFDTD.Ey[x, y, z]))
-    im = ax.imshow(solverFDTD.Ey[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ey{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ey[x, y, z])), np.max(np.abs(solverFDTD.Ey[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Ey[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ey{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,2]
+    ax = axs[1, 2]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ez[x, y, z])), np.max(np.abs(solverFDTD.Ez[x, y, z]))
-    im = ax.imshow(solverFDTD.Ez[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ez{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ez[x, y, z])), np.max(np.abs(solverFDTD.Ez[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Ez[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ez{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-
-    fig.suptitle(f'E field, timestep={n}')
-    fig.savefig('imgE/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"E field, timestep={n}")
+    fig.savefig("imgE/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
-def plot_H_field(solverFIT, solverFDTD, n):
 
-    fig, axs = plt.subplots(2,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
+def plot_H_field(solverFIT, solverFDTD, n):
+    fig, axs = plt.subplots(2, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
     extent = (0, N, 0, N)
     vmin, vmax = -5e3, 5e3
-    #FIT
-    for i, ax in enumerate(axs[0,:]):
-        #vmin, vmax = -np.max(np.abs(solverFIT.H[x, y, z, dims[i]])), np.max(np.abs(solverFIT.H[x, y, z, dims[i]]))
-        im = ax.imshow(solverFIT.H[x, y, z, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT H{dims[i]}{title}')
-
-    #FDTD
-    ax = axs[1,0]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hx[x, y, z])), np.max(np.abs(solverFDTD.Hx[x, y, z]))
-    im = ax.imshow(solverFDTD.Hx[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hx{title}')
-
-    ax = axs[1,1]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hy[x, y, z])), np.max(np.abs(solverFDTD.Hy[x, y, z]))
-    im = ax.imshow(solverFDTD.Hy[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hy{title}')
-
-    ax = axs[1,2]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hz[x, y, z])), np.max(np.abs(solverFDTD.Hz[x, y, z]))
-    im = ax.imshow(solverFDTD.Hz[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hz{title}')
-
-    fig.suptitle(f'H field, timestep={n}')
-    fig.savefig('imgH/'+str(n).zfill(4)+'.png')
+    # FIT
+    for i, ax in enumerate(axs[0, :]):
+        # vmin, vmax = -np.max(np.abs(solverFIT.H[x, y, z, dims[i]])), np.max(np.abs(solverFIT.H[x, y, z, dims[i]]))
+        im = ax.imshow(
+            solverFIT.H[x, y, z, dims[i]],
+            cmap="rainbow",
+            vmin=vmin,
+            vmax=vmax,
+            extent=extent,
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT H{dims[i]}{title}")
+
+    # FDTD
+    ax = axs[1, 0]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hx[x, y, z])), np.max(np.abs(solverFDTD.Hx[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Hx[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hx{title}")
+
+    ax = axs[1, 1]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hy[x, y, z])), np.max(np.abs(solverFDTD.Hy[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Hy[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hy{title}")
+
+    ax = axs[1, 2]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hz[x, y, z])), np.max(np.abs(solverFDTD.Hz[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Hz[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hz{title}")
+
+    fig.suptitle(f"H field, timestep={n}")
+    fig.savefig("imgH/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
 
 for n in tqdm(range(Nt)):
-
     solverFIT.one_step()
     solverFDTD.one_step()
 
     plot_E_field(solverFIT, solverFDTD, n)
     plot_H_field(solverFIT, solverFDTD, n)
 
-'''
+"""
 for n in tqdm(range(Nt), 'FIT:'):
 
     solverFIT.one_step()
@@ -179,5 +212,4 @@ def plot_H_field(solverFIT, solverFDTD, n):
 for n in tqdm(range(Nt), 'FDTD:'):
 
     solverFDTD.one_step()
-'''
-
+"""
diff --git a/examples/fit/script_cube_resonator_fit.py b/examples/fit/script_cube_resonator_fit.py
index 0ad8e8f..d94aaf2 100644
--- a/examples/fit/script_cube_resonator_fit.py
+++ b/examples/fit/script_cube_resonator_fit.py
@@ -1,62 +1,97 @@
 import numpy as np
 from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-import matplotlib
+
 # matplotlib.use('Agg')
 from matplotlib import pyplot as plt
-from matplotlib import patches
-import os, sys
+
 from tqdm import tqdm
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 
-sys.path.append('../')
-
 from solverFIT3D import SolverFIT3D
 from solver3D import EMSolver3D
 from grid3D import Grid3D
-from conductors3d import noConductor, InCube, ConductorsAssembly
-from scipy.special import jv
-from field import Field 
+from conductors3d import InCube, ConductorsAssembly
 
-#----- Funtions -----#
+# ----- Funtions -----#
 m = 1
 n = 0
 p = 1
-theta = 0 #np.pi/8
+theta = 0  # np.pi/8
 
 # Analytic solution of cubic resonator
 # Ref: http://faculty.pccu.edu.tw/~meng/new%20EM6.pdf pp.20/24
 
+
 def analytic_sol_Hz(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
 
-    return np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(n * np.pi / Ly * (y_0 - Ly/2)) * np.sin(
-        p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.sin(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hy(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (n * np.pi / Ly) * (p * np.pi / Lz) * np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.sin(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (n * np.pi / Ly)
+        * (p * np.pi / Lz)
+        * np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.sin(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hx(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (m * np.pi / Lx) * (p * np.pi / Lz) * np.sin(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (m * np.pi / Lx)
+        * (p * np.pi / Lz)
+        * np.sin(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
-#---- Domain definition ----#
+# ---- Domain definition ----#
 
 Z0 = np.sqrt(mu_0 / eps_0)
 
-L = 1. # Domain length
-N = 30 # Number of mesh cells
+L = 1.0  # Domain length
+N = 30  # Number of mesh cells
 
 Nx = N
 Ny = N
@@ -68,315 +103,393 @@ def analytic_sol_Hx(x, y, z, t):
 dy = L / Ny
 dz = L / Nz
 
-xmin = -Lx/2
-xmax = Lx/2 
-ymin = - Ly/2 
-ymax = Ly/2 
-zmin = - Lz/2
-zmax = Lz/2 
-
-#Embedded cube 
-lx = Lx*0.7
-ly = Ly*0.7
-lz = Lz*0.7
+xmin = -Lx / 2
+xmax = Lx / 2
+ymin = -Ly / 2
+ymax = Ly / 2
+zmin = -Lz / 2
+zmax = Lz / 2
+
+# Embedded cube
+lx = Lx * 0.7
+ly = Ly * 0.7
+lz = Lz * 0.7
 x_cent = 0
 y_cent = 0
 z_cent = 0
 
-cube = InCube(lx, ly, lz, x_cent, y_cent, z_cent) #noConductor() 
+cube = InCube(lx, ly, lz, x_cent, y_cent, z_cent)  # noConductor()
 conductors = ConductorsAssembly([cube])
-#conductors = noConductor()
+# conductors = noConductor()
 
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
-NCFL=1.0
-gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FIT')
+NCFL = 1.0
+gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FIT")
 solverFIT = SolverFIT3D(gridFIT, NCFL, bc_low=bc_low, bc_high=bc_high)
 
-gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FDTD')
-solverFDTD = EMSolver3D(gridFDTD, 'FDTD', NCFL)
+gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FDTD")
+solverFDTD = EMSolver3D(gridFDTD, "FDTD", NCFL)
 
 # Plotting functions
-folder ='imgRes'
-plane = 'XY'
+folder = "imgRes"
+plane = "XY"
 
-if plane == 'XY':
-    xx, yy, zz = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-    title = '(x,y,Nz/2)'
-    xax, yax = 'y', 'x'
+if plane == "XY":
+    xx, yy, zz = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+    title = "(x,y,Nz/2)"
+    xax, yax = "y", "x"
 
-if plane == 'YZ':
-    xx, yy, zz = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-    title = '(Nx/2,y,z)'
-    xax, yax = 'z', 'y'
+if plane == "YZ":
+    xx, yy, zz = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+    title = "(Nx/2,y,z)"
+    xax, yax = "z", "y"
 
 
 def plot_E_field(solverFIT, solverFDTD, n):
-
-    fig, axs = plt.subplots(2,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
+    fig, axs = plt.subplots(2, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
     lims = {0: 500, 1: 500, 2: 500}
 
-    #FIT
-    for i, ax in enumerate(axs[0,:]):
+    # FIT
+    for i, ax in enumerate(axs[0, :]):
         vmin, vmax = -lims[i], lims[i]
-        #vmin, vmax = -np.max(np.abs(solverFIT.E[:,:,int(Nz/2), dims[i]])), np.max(np.abs(solverFIT.E[:,:,int(Nz/2), dims[i]]))
-        im = ax.imshow(solverFIT.E[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT E{dims[i]}(x,y,Nz/2)')
-
-    #FDTD
-    ax = axs[1,0]
+        # vmin, vmax = -np.max(np.abs(solverFIT.E[:,:,int(Nz/2), dims[i]])), np.max(np.abs(solverFIT.E[:,:,int(Nz/2), dims[i]]))
+        im = ax.imshow(
+            solverFIT.E[xx, yy, zz, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT E{dims[i]}(x,y,Nz/2)")
+
+    # FDTD
+    ax = axs[1, 0]
     vmin, vmax = -lims[0], lims[0]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ex[xx, yy, zz])), np.max(np.abs(solverFDTD.Ex[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Ex[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ex(x,y,Nz/2)')
-
-    ax = axs[1,1]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ex[xx, yy, zz])), np.max(np.abs(solverFDTD.Ex[xx, yy, zz]))
+    im = ax.imshow(solverFDTD.Ex[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title("FDTD Ex(x,y,Nz/2)")
+
+    ax = axs[1, 1]
     vmin, vmax = -lims[1], lims[1]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ey[xx, yy, zz])), np.max(np.abs(solverFDTD.Ey[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Ey[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ey(x,y,Nz/2)')
-
-    ax = axs[1,2]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ey[xx, yy, zz])), np.max(np.abs(solverFDTD.Ey[xx, yy, zz]))
+    im = ax.imshow(solverFDTD.Ey[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title("FDTD Ey(x,y,Nz/2)")
+
+    ax = axs[1, 2]
     vmin, vmax = -lims[2], lims[2]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ez[xx, yy, zz])), np.max(np.abs(solverFDTD.Ez[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Ez[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ez(x,y,Nz/2)')
-
-    fig.suptitle(f'E field, timestep={n}')
-    fig.savefig(f'{folder}E/'+str(n).zfill(4)+'.png')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ez[xx, yy, zz])), np.max(np.abs(solverFDTD.Ez[xx, yy, zz]))
+    im = ax.imshow(solverFDTD.Ez[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title("FDTD Ez(x,y,Nz/2)")
+
+    fig.suptitle(f"E field, timestep={n}")
+    fig.savefig(f"{folder}E/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
-def plot_H_field(solverFIT, solverFDTD, n):
 
-    fig, axs = plt.subplots(2,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
+def plot_H_field(solverFIT, solverFDTD, n):
+    fig, axs = plt.subplots(2, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
     lims = {0: 0.05, 1: 0.05, 2: 1}
 
-    #FIT
-    for i, ax in enumerate(axs[0,:]):
+    # FIT
+    for i, ax in enumerate(axs[0, :]):
         vmin, vmax = -lims[i], lims[i]
-        #vmin, vmax = -np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
-        im = ax.imshow(solverFIT.H[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT H{dims[i]}(x,y,Nz/2)')
-
-    #FDTD
-    ax = axs[1,0]
+        # vmin, vmax = -np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
+        im = ax.imshow(
+            solverFIT.H[xx, yy, zz, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT H{dims[i]}(x,y,Nz/2)")
+
+    # FDTD
+    ax = axs[1, 0]
     vmin, vmax = -lims[0], lims[0]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hx[xx, yy, zz])), np.max(np.abs(solverFDTD.Hx[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Hx[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hx(x,y,Nz/2)')
-
-    ax = axs[1,1]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hx[xx, yy, zz])), np.max(np.abs(solverFDTD.Hx[xx, yy, zz]))
+    im = ax.imshow(solverFDTD.Hx[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title("FDTD Hx(x,y,Nz/2)")
+
+    ax = axs[1, 1]
     vmin, vmax = -lims[1], lims[1]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hy[:,:,int(Nz/2)])), np.max(np.abs(solverFDTD.Hy[:,:,int(Nz/2)]))
-    im = ax.imshow(solverFDTD.Hy[:,:,int(Nz/2)], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hy(x,y,Nz/2)')
-
-    ax = axs[1,2]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hy[:,:,int(Nz/2)])), np.max(np.abs(solverFDTD.Hy[:,:,int(Nz/2)]))
+    im = ax.imshow(
+        solverFDTD.Hy[:, :, int(Nz / 2)], cmap="rainbow", vmin=vmin, vmax=vmax
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title("FDTD Hy(x,y,Nz/2)")
+
+    ax = axs[1, 2]
     vmin, vmax = -lims[2], lims[2]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hz[:,:,int(Nz/2)])), np.max(np.abs(solverFDTD.Hz[:,:,int(Nz/2)]))
-    im = ax.imshow(solverFDTD.Hz[:,:,int(Nz/2)], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hz(x,y,Nz/2)')
-
-    fig.suptitle(f'H field, timestep={n}')
-    fig.savefig(f'{folder}H/'+str(n).zfill(4)+'.png')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hz[:,:,int(Nz/2)])), np.max(np.abs(solverFDTD.Hz[:,:,int(Nz/2)]))
+    im = ax.imshow(
+        solverFDTD.Hz[:, :, int(Nz / 2)], cmap="rainbow", vmin=vmin, vmax=vmax
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title("FDTD Hz(x,y,Nz/2)")
+
+    fig.suptitle(f"H field, timestep={n}")
+    fig.savefig(f"{folder}H/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
 
-#---- Initial conditions -----#
+# ---- Initial conditions -----#
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
-
             if gridFDTD.flag_int_cell_xy[ii, jj, kk]:
                 x = (ii) * dx + xmin
                 y = (jj) * dy + ymin
                 z = kk * dz + zmin
-                solverFDTD.Hz[ii, jj, kk] = analytic_sol_Hz(x, y, z, -0.5 * solverFDTD.dt)
+                solverFDTD.Hz[ii, jj, kk] = analytic_sol_Hz(
+                    x, y, z, -0.5 * solverFDTD.dt
+                )
 
             x = ii * dx + xmin
             y = jj * dy + ymin
             z = kk * dz + zmin
-            solverFIT.H[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, -0.5 * solverFDTD.dt)
+            solverFIT.H[ii, jj, kk, "z"] = analytic_sol_Hz(
+                x, y, z, -0.5 * solverFDTD.dt
+            )
 
             if gridFDTD.flag_int_cell_zx[ii, jj, kk]:
                 x = (ii) * dx + xmin
                 y = jj * dy + ymin
                 z = (kk) * dz + zmin
-                solverFDTD.Hy[ii, jj, kk] = analytic_sol_Hy(x, y, z, -0.5 * solverFDTD.dt)
+                solverFDTD.Hy[ii, jj, kk] = analytic_sol_Hy(
+                    x, y, z, -0.5 * solverFDTD.dt
+                )
 
             x = ii * dx + xmin
             y = jj * dy + ymin
             z = kk * dz + zmin
-            solverFIT.H[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, -0.5 * solverFIT.dt)
+            solverFIT.H[ii, jj, kk, "y"] = analytic_sol_Hy(x, y, z, -0.5 * solverFIT.dt)
 
             if gridFDTD.flag_int_cell_yz[ii, jj, kk]:
-                x = ii*dx + xmin
-                y = (jj)*dy + ymin
-                z = (kk)*dz + zmin
-                solverFDTD.Hx[ii, jj, kk] = analytic_sol_Hx(x, y, z, -0.5 * solverFDTD.dt)
+                x = ii * dx + xmin
+                y = (jj) * dy + ymin
+                z = (kk) * dz + zmin
+                solverFDTD.Hx[ii, jj, kk] = analytic_sol_Hx(
+                    x, y, z, -0.5 * solverFDTD.dt
+                )
 
             x = ii * dx + xmin
             y = jj * dy + ymin
             z = kk * dz + zmin
-            solverFIT.H[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, -0.5 * solverFIT.dt)
+            solverFIT.H[ii, jj, kk, "x"] = analytic_sol_Hx(x, y, z, -0.5 * solverFIT.dt)
 
-#----- Time loop -----#
+# ----- Time loop -----#
 
 Nt = 200
 for nt in tqdm(range(Nt)):
-
     solverFIT.one_step()
     solverFDTD.one_step()
 
-    if nt%2:
+    if nt % 2:
         plot_E_field(solverFIT, solverFDTD, nt)
         plot_H_field(solverFIT, solverFDTD, nt)
 
-#----- Compare -----#
+# ----- Compare -----#
 
-analytic = EMSolver3D(gridFDTD, 'FDTD', NCFL)
+analytic = EMSolver3D(gridFDTD, "FDTD", NCFL)
 
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
-
             x = (ii) * dx + xmin
             y = (jj) * dy + ymin
             z = kk * dz + zmin
-            analytic.Hz[ii, jj, kk] = analytic_sol_Hz(x, y, z, (Nt-0.5) * analytic.dt)
+            analytic.Hz[ii, jj, kk] = analytic_sol_Hz(x, y, z, (Nt - 0.5) * analytic.dt)
 
             x = (ii) * dx + xmin
             y = jj * dy + ymin
             z = (kk) * dz + zmin
-            analytic.Hy[ii, jj, kk] = analytic_sol_Hy(x, y, z, (Nt-0.5) * analytic.dt)
+            analytic.Hy[ii, jj, kk] = analytic_sol_Hy(x, y, z, (Nt - 0.5) * analytic.dt)
 
-            x = ii*dx + xmin
-            y = (jj)*dy + ymin
-            z = (kk)*dz + zmin
-            analytic.Hx[ii, jj, kk] = analytic_sol_Hx(x, y, z, (Nt-0.5) * analytic.dt)
+            x = ii * dx + xmin
+            y = (jj) * dy + ymin
+            z = (kk) * dz + zmin
+            analytic.Hx[ii, jj, kk] = analytic_sol_Hx(x, y, z, (Nt - 0.5) * analytic.dt)
 
 # Plot fields
-fig, axs = plt.subplots(3,3, tight_layout=True, figsize=[8,6])
-dims = {0:'x', 1:'y', 2:'z'}
-
-#FIT
-for i, ax in enumerate(axs[0,:]):
-    vmin, vmax = -np.max(np.abs(solverFIT.H[:,:,int(Nz/2), dims[i]])), np.max(np.abs(solverFIT.H[:,:,int(Nz/2), dims[i]]))
-    im = ax.imshow(solverFIT.H[:,:,int(Nz/2), dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FIT H{dims[i]}(x,y,Nz/2)')
-
-#FDTD
-ax = axs[1,0]
-vmin, vmax = -np.max(np.abs(solverFDTD.Hx[:,:,int(Nz/2)])), np.max(np.abs(solverFDTD.Hx[:,:,int(Nz/2)]))
-im = ax.imshow(solverFDTD.Hx[:,:,int(Nz/2)], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hx(x,y,Nz/2)')
-
-ax = axs[1,1]
-vmin, vmax = -np.max(np.abs(solverFDTD.Hy[:,:,int(Nz/2)])), np.max(np.abs(solverFDTD.Hy[:,:,int(Nz/2)]))
-im = ax.imshow(solverFDTD.Hy[:,:,int(Nz/2)], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hy(x,y,Nz/2)')
-
-ax = axs[1,2]
-vmin, vmax = -np.max(np.abs(solverFDTD.Hz[:,:,int(Nz/2)])), np.max(np.abs(solverFDTD.Hz[:,:,int(Nz/2)]))
-im = ax.imshow(solverFDTD.Hz[:,:,int(Nz/2)], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hz(x,y,Nz/2)')
-
-#Analytic
-ax = axs[2,0]
-vmin, vmax = -np.max(np.abs(analytic.Hx[:,:,int(Nz/2)])), np.max(np.abs(analytic.Hx[:,:,int(Nz/2)]))
-im = ax.imshow(analytic.Hx[:,:,int(Nz/2)], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hx(x,y,Nz/2)')
-
-ax = axs[2,1]
-vmin, vmax = -np.max(np.abs(analytic.Hy[:,:,int(Nz/2)])), np.max(np.abs(analytic.Hy[:,:,int(Nz/2)]))
-im = ax.imshow(analytic.Hy[:,:,int(Nz/2)], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hy(x,y,Nz/2)')
-
-ax = axs[2,2]
-vmin, vmax = -np.max(np.abs(analytic.Hz[:,:,int(Nz/2)])), np.max(np.abs(analytic.Hz[:,:,int(Nz/2)]))
-im = ax.imshow(analytic.Hz[:,:,int(Nz/2)], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hz(x,y,Nz/2)')
-
-fig.suptitle(f'H field, timestep={Nt}')
-fig.savefig('analyticXY.png')
+fig, axs = plt.subplots(3, 3, tight_layout=True, figsize=[8, 6])
+dims = {0: "x", 1: "y", 2: "z"}
+
+# FIT
+for i, ax in enumerate(axs[0, :]):
+    vmin, vmax = (
+        -np.max(np.abs(solverFIT.H[:, :, int(Nz / 2), dims[i]])),
+        np.max(np.abs(solverFIT.H[:, :, int(Nz / 2), dims[i]])),
+    )
+    im = ax.imshow(
+        solverFIT.H[:, :, int(Nz / 2), dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FIT H{dims[i]}(x,y,Nz/2)")
+
+# FDTD
+ax = axs[1, 0]
+vmin, vmax = (
+    -np.max(np.abs(solverFDTD.Hx[:, :, int(Nz / 2)])),
+    np.max(np.abs(solverFDTD.Hx[:, :, int(Nz / 2)])),
+)
+im = ax.imshow(solverFDTD.Hx[:, :, int(Nz / 2)], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("FDTD Hx(x,y,Nz/2)")
+
+ax = axs[1, 1]
+vmin, vmax = (
+    -np.max(np.abs(solverFDTD.Hy[:, :, int(Nz / 2)])),
+    np.max(np.abs(solverFDTD.Hy[:, :, int(Nz / 2)])),
+)
+im = ax.imshow(solverFDTD.Hy[:, :, int(Nz / 2)], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("FDTD Hy(x,y,Nz/2)")
+
+ax = axs[1, 2]
+vmin, vmax = (
+    -np.max(np.abs(solverFDTD.Hz[:, :, int(Nz / 2)])),
+    np.max(np.abs(solverFDTD.Hz[:, :, int(Nz / 2)])),
+)
+im = ax.imshow(solverFDTD.Hz[:, :, int(Nz / 2)], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("FDTD Hz(x,y,Nz/2)")
+
+# Analytic
+ax = axs[2, 0]
+vmin, vmax = (
+    -np.max(np.abs(analytic.Hx[:, :, int(Nz / 2)])),
+    np.max(np.abs(analytic.Hx[:, :, int(Nz / 2)])),
+)
+im = ax.imshow(analytic.Hx[:, :, int(Nz / 2)], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("Analytic Hx(x,y,Nz/2)")
+
+ax = axs[2, 1]
+vmin, vmax = (
+    -np.max(np.abs(analytic.Hy[:, :, int(Nz / 2)])),
+    np.max(np.abs(analytic.Hy[:, :, int(Nz / 2)])),
+)
+im = ax.imshow(analytic.Hy[:, :, int(Nz / 2)], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("Analytic Hy(x,y,Nz/2)")
+
+ax = axs[2, 2]
+vmin, vmax = (
+    -np.max(np.abs(analytic.Hz[:, :, int(Nz / 2)])),
+    np.max(np.abs(analytic.Hz[:, :, int(Nz / 2)])),
+)
+im = ax.imshow(analytic.Hz[:, :, int(Nz / 2)], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("Analytic Hz(x,y,Nz/2)")
+
+fig.suptitle(f"H field, timestep={Nt}")
+fig.savefig("analyticXY.png")
 plt.clf()
 plt.close(fig)
 
 # Plot fields
-fig, axs = plt.subplots(3,3, tight_layout=True, figsize=[8,6])
-dims = {0:'x', 1:'y', 2:'z'}
-
-#FIT
-for i, ax in enumerate(axs[0,:]):
-    vmin, vmax = -np.max(np.abs(solverFIT.H[int(Nx/2),:,:, dims[i]])), np.max(np.abs(solverFIT.H[int(Nx/2),:,:, dims[i]]))
-    im = ax.imshow(solverFIT.H[int(Nx/2),:,:, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FIT H{dims[i]}(Nx/2,y,z)')
-
-#FDTD
-ax = axs[1,0]
-vmin, vmax = -np.max(np.abs(solverFDTD.Hx[int(Nx/2),:,:])), np.max(np.abs(solverFDTD.Hx[int(Nx/2),:,:]))
-im = ax.imshow(solverFDTD.Hx[int(Nx/2),:,:], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hx(Nx/2,y,z)')
-
-ax = axs[1,1]
-vmin, vmax = -np.max(np.abs(solverFDTD.Hy[int(Nx/2),:,:])), np.max(np.abs(solverFDTD.Hy[int(Nx/2),:,:]))
-im = ax.imshow(solverFDTD.Hy[int(Nx/2),:,:], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hy(Nx/2,y,z)')
-
-ax = axs[1,2]
-vmin, vmax = -np.max(np.abs(solverFDTD.Hz[int(Nx/2),:,:])), np.max(np.abs(solverFDTD.Hz[int(Nx/2),:,:]))
-im = ax.imshow(solverFDTD.Hz[int(Nx/2),:,:], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hz(Nx/2,y,z)')
-
-#Analytic
-ax = axs[2,0]
-vmin, vmax = -np.max(np.abs(analytic.Hx[int(Nx/2),:,:])), np.max(np.abs(analytic.Hx[int(Nx/2),:,:]))
-im = ax.imshow(analytic.Hx[int(Nx/2),:,:], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hx(Nx/2,y,z)')
-
-ax = axs[2,1]
-vmin, vmax = -np.max(np.abs(analytic.Hy[int(Nx/2),:,:])), np.max(np.abs(analytic.Hy[int(Nx/2),:,:]))
-im = ax.imshow(analytic.Hy[int(Nx/2),:,:], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hy(Nx/2,y,z)')
-
-ax = axs[2,2]
-vmin, vmax = -np.max(np.abs(analytic.Hz[int(Nx/2),:,:])), np.max(np.abs(analytic.Hz[int(Nx/2),:,:]))
-im = ax.imshow(analytic.Hz[int(Nx/2),:,:], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hz(Nx/2,y,z)')
-
-fig.suptitle(f'H field, timestep={Nt}')
-fig.savefig('analyticYZ.png')
+fig, axs = plt.subplots(3, 3, tight_layout=True, figsize=[8, 6])
+dims = {0: "x", 1: "y", 2: "z"}
+
+# FIT
+for i, ax in enumerate(axs[0, :]):
+    vmin, vmax = (
+        -np.max(np.abs(solverFIT.H[int(Nx / 2), :, :, dims[i]])),
+        np.max(np.abs(solverFIT.H[int(Nx / 2), :, :, dims[i]])),
+    )
+    im = ax.imshow(
+        solverFIT.H[int(Nx / 2), :, :, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FIT H{dims[i]}(Nx/2,y,z)")
+
+# FDTD
+ax = axs[1, 0]
+vmin, vmax = (
+    -np.max(np.abs(solverFDTD.Hx[int(Nx / 2), :, :])),
+    np.max(np.abs(solverFDTD.Hx[int(Nx / 2), :, :])),
+)
+im = ax.imshow(solverFDTD.Hx[int(Nx / 2), :, :], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("FDTD Hx(Nx/2,y,z)")
+
+ax = axs[1, 1]
+vmin, vmax = (
+    -np.max(np.abs(solverFDTD.Hy[int(Nx / 2), :, :])),
+    np.max(np.abs(solverFDTD.Hy[int(Nx / 2), :, :])),
+)
+im = ax.imshow(solverFDTD.Hy[int(Nx / 2), :, :], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("FDTD Hy(Nx/2,y,z)")
+
+ax = axs[1, 2]
+vmin, vmax = (
+    -np.max(np.abs(solverFDTD.Hz[int(Nx / 2), :, :])),
+    np.max(np.abs(solverFDTD.Hz[int(Nx / 2), :, :])),
+)
+im = ax.imshow(solverFDTD.Hz[int(Nx / 2), :, :], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("FDTD Hz(Nx/2,y,z)")
+
+# Analytic
+ax = axs[2, 0]
+vmin, vmax = (
+    -np.max(np.abs(analytic.Hx[int(Nx / 2), :, :])),
+    np.max(np.abs(analytic.Hx[int(Nx / 2), :, :])),
+)
+im = ax.imshow(analytic.Hx[int(Nx / 2), :, :], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("Analytic Hx(Nx/2,y,z)")
+
+ax = axs[2, 1]
+vmin, vmax = (
+    -np.max(np.abs(analytic.Hy[int(Nx / 2), :, :])),
+    np.max(np.abs(analytic.Hy[int(Nx / 2), :, :])),
+)
+im = ax.imshow(analytic.Hy[int(Nx / 2), :, :], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("Analytic Hy(Nx/2,y,z)")
+
+ax = axs[2, 2]
+vmin, vmax = (
+    -np.max(np.abs(analytic.Hz[int(Nx / 2), :, :])),
+    np.max(np.abs(analytic.Hz[int(Nx / 2), :, :])),
+)
+im = ax.imshow(analytic.Hz[int(Nx / 2), :, :], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title("Analytic Hz(Nx/2,y,z)")
+
+fig.suptitle(f"H field, timestep={Nt}")
+fig.savefig("analyticYZ.png")
 plt.clf()
 plt.close(fig)
 
 #!convert -delay 10 -loop 0 imgResH/*.png imgResH/H_ResCube.gif
 #!convert -delay 10 -loop 0 imgResE/*.png imgResE/E_ResCube.gif
 #!rm imgResH/*.png
-#!rm imgResE/*.png
\ No newline at end of file
+#!rm imgResE/*.png
diff --git a/examples/fit/script_cubestl_resonator_fit.py b/examples/fit/script_cubestl_resonator_fit.py
index d2cb959..b56448c 100644
--- a/examples/fit/script_cubestl_resonator_fit.py
+++ b/examples/fit/script_cubestl_resonator_fit.py
@@ -1,52 +1,89 @@
 import numpy as np
 import matplotlib.pyplot as plt
-import os, sys
 import pyvista as pv
 from tqdm import tqdm
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 from scipy.constants import c as c_light
 
-sys.path.append('../')
 
 from solverFIT3D import SolverFIT3D
-from gridFIT3D import GridFIT3D 
-from field import Field 
+from gridFIT3D import GridFIT3D
 
-#----- Funtions -----#
+# ----- Funtions -----#
 m = 1
 n = 0
 p = 1
-theta = 0 #np.pi/8
+theta = 0  # np.pi/8
 
 # Analytic solution of cubic resonator
 # Ref: http://faculty.pccu.edu.tw/~meng/new%20EM6.pdf pp.20/24
 
+
 def analytic_sol_Hz(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
 
-    return np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(n * np.pi / Ly * (y_0 - Ly/2)) * np.sin(
-        p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.sin(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hy(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (n * np.pi / Ly) * (p * np.pi / Lz) * np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.sin(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (n * np.pi / Ly)
+        * (p * np.pi / Lz)
+        * np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.sin(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hx(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (m * np.pi / Lx) * (p * np.pi / Lz) * np.sin(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (m * np.pi / Lx)
+        * (p * np.pi / Lz)
+        * np.sin(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
-#---- Domain definition ----#
+# ---- Domain definition ----#
 
 # Number of mesh cells
 Nx = 50
@@ -54,11 +91,11 @@ def analytic_sol_Hx(x, y, z, t):
 Nz = 50
 
 # Embedded boundaries
-stl_file = 'stl/cube.stl'
+stl_file = "stl/cube.stl"
 surf = pv.read(stl_file)
 
-stl_solids = {'Solid 1': stl_file}
-stl_materials = {'Solid 1': 'vacuum'}
+stl_solids = {"Solid 1": stl_file}
+stl_materials = {"Solid 1": "vacuum"}
 stl_rotate = [0, 0, 0]
 stl_translate = -np.array(surf.center)
 stl_scale = 1.0
@@ -71,50 +108,61 @@ def analytic_sol_Hx(x, y, z, t):
 
 # Domain bounds
 xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds
-Lx, Ly, Lz = (xmax-xmin), (ymax-ymin), (zmax-zmin)
-padx, pady, padz = Lx*0.2, Ly*0.2, Lz*0.2
+Lx, Ly, Lz = (xmax - xmin), (ymax - ymin), (zmax - zmin)
+padx, pady, padz = Lx * 0.2, Ly * 0.2, Lz * 0.2
 
-xmin, ymin, zmin = (xmin-padx), (ymin-pady), (zmin-padz)
-xmax, ymax, zmax = (xmax+padx), (ymax+pady), (zmax+padz)
+xmin, ymin, zmin = (xmin - padx), (ymin - pady), (zmin - padz)
+xmax, ymax, zmax = (xmax + padx), (ymax + pady), (zmax + padz)
 
 # boundary conditions
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
 # set FIT solver
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, 
-                stl_solids=stl_solids, 
-                stl_rotate=stl_rotate,
-                stl_scale=stl_scale,
-                stl_translate=stl_translate,
-                stl_materials=stl_materials)
-
-solver = SolverFIT3D(grid, 
-                     bc_low=bc_low, bc_high=bc_high, 
-                     use_stl=True, bg=[np.inf, 1.0]) #PEC backgroung
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_rotate=stl_rotate,
+    stl_scale=stl_scale,
+    stl_translate=stl_translate,
+    stl_materials=stl_materials,
+)
+
+solver = SolverFIT3D(
+    grid, bc_low=bc_low, bc_high=bc_high, use_stl=True, bg=[np.inf, 1.0]
+)  # PEC backgroung
 
 analytic = SolverFIT3D(grid, bc_low=bc_low, bc_high=bc_high, use_conductors=False)
 
 dx, dy, dz = solver.dx, solver.dy, solver.dz
 
 # Plotting functions
-folder ='imgRes'
-plane = 'ZX'
+folder = "imgRes"
+plane = "ZX"
+
+if plane == "XY":
+    xx, yy, zz = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+    title = "(x,y,Nz/2)"
+    xax, yax = "ny", "nx"
 
-if plane == 'XY':
-    xx, yy, zz = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-    title = '(x,y,Nz/2)'
-    xax, yax = 'ny', 'nx'
+if plane == "ZY":
+    xx, yy, zz = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+    title = "(Nx/2,y,z)"
+    xax, yax = "nz", "ny"
 
-if plane == 'ZY':
-    xx, yy, zz = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-    title = '(Nx/2,y,z)'
-    xax, yax = 'nz', 'ny'
+if plane == "ZX":
+    xx, yy, zz = slice(0, Nx), int(Ny // 2), slice(0, Nz)  # plane ZX
+    title = "(x,Ny/2,z)"
+    xax, yax = "nz", "nx"
 
-if plane == 'ZX':
-    xx, yy, zz = slice(0,Nx), int(Ny//2), slice(0,Nz) #plane ZX
-    title = '(x,Ny/2,z)'
-    xax, yax = 'nz', 'nx'
 
 def get_analytic_H(analytic, n):
     dx, dy, dz = analytic.dx, analytic.dy, analytic.dz
@@ -124,124 +172,137 @@ def get_analytic_H(analytic, n):
     for ii in range(Nx):
         for jj in range(Ny):
             for kk in range(Nz):
-
-                if mask[ii,jj,kk]:
-
-                    x = (ii+0.5) * dx + xmin 
-                    y = (jj+0.5) * dy + ymin 
-                    z = (kk+0.5) * dz + zmin 
-                    analytic.H[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, (n-0.5) * solver.dt)
-                    analytic.H[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, (n-0.5) * solver.dt)
-                    analytic.H[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, (n-0.5) * solver.dt)
+                if mask[ii, jj, kk]:
+                    x = (ii + 0.5) * dx + xmin
+                    y = (jj + 0.5) * dy + ymin
+                    z = (kk + 0.5) * dz + zmin
+                    analytic.H[ii, jj, kk, "z"] = analytic_sol_Hz(
+                        x, y, z, (n - 0.5) * solver.dt
+                    )
+                    analytic.H[ii, jj, kk, "y"] = analytic_sol_Hy(
+                        x, y, z, (n - 0.5) * solver.dt
+                    )
+                    analytic.H[ii, jj, kk, "x"] = analytic_sol_Hx(
+                        x, y, z, (n - 0.5) * solver.dt
+                    )
 
 
 def plot_E_field(solver, n):
-
-    fig, axs = plt.subplots(1,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
+    fig, axs = plt.subplots(1, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
     lims = {0: 50, 1: 50, 2: 50}
 
-    #FIT
+    # FIT
     for i, ax in enumerate(axs[:]):
         vmin, vmax = -lims[i], lims[i]
-        #vmin, vmax = -np.max(np.abs(solver.E[:,:,int(Nz/2), dims[i]])), np.max(np.abs(solver.E[:,:,int(Nz/2), dims[i]]))
-        im = ax.imshow(solver.E[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT E{dims[i]}{title}')
+        # vmin, vmax = -np.max(np.abs(solver.E[:,:,int(Nz/2), dims[i]])), np.max(np.abs(solver.E[:,:,int(Nz/2), dims[i]]))
+        im = ax.imshow(
+            solver.E[xx, yy, zz, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT E{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    fig.suptitle(f'E field, timestep={n}')
-    fig.savefig(f'{folder}E/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"E field, timestep={n}")
+    fig.savefig(f"{folder}E/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
-def plot_H_field(solver, analytic, n):
 
-    fig, axs = plt.subplots(2,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
+def plot_H_field(solver, analytic, n):
+    fig, axs = plt.subplots(2, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
     lims = {0: 1.0, 1: 0.1, 2: 1}
 
-    #FIT
-    for i, ax in enumerate(axs[0,:]):
+    # FIT
+    for i, ax in enumerate(axs[0, :]):
         vmin, vmax = -lims[i], lims[i]
-        #vmin, vmax = -np.max(np.abs(solver.H[xx, yy, zz, dims[i]])), np.max(np.abs(solver.H[xx, yy, zz, dims[i]]))
-        im = ax.imshow(solver.H[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT H{dims[i]}{title}')
+        # vmin, vmax = -np.max(np.abs(solver.H[xx, yy, zz, dims[i]])), np.max(np.abs(solver.H[xx, yy, zz, dims[i]]))
+        im = ax.imshow(
+            solver.H[xx, yy, zz, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT H{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    #Analytic
+    # Analytic
     get_analytic_H(analytic, n)
-    for i, ax in enumerate(axs[1,:]):
+    for i, ax in enumerate(axs[1, :]):
         vmin, vmax = -lims[i], lims[i]
-        im = ax.imshow(analytic.H[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'Analytic H{dims[i]}{title}')
+        im = ax.imshow(
+            analytic.H[xx, yy, zz, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"Analytic H{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    fig.suptitle(f'H field, timestep={n}')
-    fig.savefig(f'{folder}H/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"H field, timestep={n}")
+    fig.savefig(f"{folder}H/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
 
-#---- Initial conditions -----#
-mask = np.reshape(solver.grid.grid['Solid 1'], (solver.Nx, solver.Ny, solver.Nz))
-#mask_x = mask
-#mask_y = mask
-#mask_z = mask
+# ---- Initial conditions -----#
+mask = np.reshape(solver.grid.grid["Solid 1"], (solver.Nx, solver.Ny, solver.Nz))
+# mask_x = mask
+# mask_y = mask
+# mask_z = mask
 
-#mask_x = np.roll(mask, [-1, -1], axis=[1,2] )
-#mask_y = np.roll(mask, [-1, -1], axis=[0,2] )
-#mask_z = np.roll(mask, [-1, -1], axis=[0,1] )
+# mask_x = np.roll(mask, [-1, -1], axis=[1,2] )
+# mask_y = np.roll(mask, [-1, -1], axis=[0,2] )
+# mask_z = np.roll(mask, [-1, -1], axis=[0,1] )
 
-#mask_x = np.roll(mask, [-1], axis=[0] )
-#mask_y = np.roll(mask, [-1], axis=[1] )
-#mask_z = np.roll(mask, [-1], axis=[2] )
+# mask_x = np.roll(mask, [-1], axis=[0] )
+# mask_y = np.roll(mask, [-1], axis=[1] )
+# mask_z = np.roll(mask, [-1], axis=[2] )
 
 # No zero waves for E IC
-mask_x = np.roll(mask, [-1], axis=[1])+np.roll(mask, [+1], axis=[1])
-mask_y = np.roll(mask, [-1], axis=[0])+np.roll(mask, [+1], axis=[0])
-mask_z = mask_x+mask_y
+mask_x = np.roll(mask, [-1], axis=[1]) + np.roll(mask, [+1], axis=[1])
+mask_y = np.roll(mask, [-1], axis=[0]) + np.roll(mask, [+1], axis=[0])
+mask_z = mask_x + mask_y
 
 #
-#mask_x = np.roll(mask, [-1], axis=[1])+np.roll(mask, [+1], axis=[1])
-#mask_y = np.roll(mask, [-1], axis=[0])+np.roll(mask, [+1], axis=[0])
-#mask_z = mask_x+mask_y
+# mask_x = np.roll(mask, [-1], axis=[1])+np.roll(mask, [+1], axis=[1])
+# mask_y = np.roll(mask, [-1], axis=[0])+np.roll(mask, [+1], axis=[0])
+# mask_z = mask_x+mask_y
 
 
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
-
-            x = (ii+0.5) * dx + xmin 
-            y = (jj+0.5) * dy + ymin 
-            z = (kk+0.5) * dz + zmin 
-
-            if mask_x[ii,jj,kk]:
-                solver.H[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, -0.5 * solver.dt)
-            if mask_y[ii,jj,kk]:
-                solver.H[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, -0.5 * solver.dt)
-            if mask_z[ii,jj,kk]:
-                solver.H[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, -0.5 * solver.dt)
- 
-#----- Time loop -----#
+            x = (ii + 0.5) * dx + xmin
+            y = (jj + 0.5) * dy + ymin
+            z = (kk + 0.5) * dz + zmin
+
+            if mask_x[ii, jj, kk]:
+                solver.H[ii, jj, kk, "x"] = analytic_sol_Hx(x, y, z, -0.5 * solver.dt)
+            if mask_y[ii, jj, kk]:
+                solver.H[ii, jj, kk, "y"] = analytic_sol_Hy(x, y, z, -0.5 * solver.dt)
+            if mask_z[ii, jj, kk]:
+                solver.H[ii, jj, kk, "z"] = analytic_sol_Hz(x, y, z, -0.5 * solver.dt)
+
+# ----- Time loop -----#
 Nt = 100
 for nt in tqdm(range(Nt)):
-
     solver.one_step()
 
-    if nt%2:
+    if nt % 2:
         plot_E_field(solver, nt)
         plot_H_field(solver, analytic, nt)
 
-#convert -delay 5 -loop 0 imgRes/*.png imgRes/.gif
-'''
+# convert -delay 5 -loop 0 imgRes/*.png imgRes/.gif
+"""
 solver.plot3D(field='H', component='z', clim=None,  hide_solids=None, show_solids=None, 
                add_stl='Solid 1', stl_opacity=0.1, stl_colors='white',
                title=None, cmap='rainbow', clip_volume=True, clip_normal='-z',
                clip_box=False, clip_bounds=None, off_screen=False, zoom=0.4, n=nt)
-'''
\ No newline at end of file
+"""
diff --git a/examples/fit/script_cubestl_resonator_fit_v2.py b/examples/fit/script_cubestl_resonator_fit_v2.py
index f4e3584..7e36f5c 100644
--- a/examples/fit/script_cubestl_resonator_fit_v2.py
+++ b/examples/fit/script_cubestl_resonator_fit_v2.py
@@ -1,52 +1,88 @@
 import numpy as np
 import matplotlib.pyplot as plt
-import os, sys
 import pyvista as pv
 from tqdm import tqdm
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 from scipy.constants import c as c_light
 
-sys.path.append('../')
-
 from solverFIT3D import SolverFIT3D
-from gridFIT3D import GridFIT3D 
-from field import Field 
+from gridFIT3D import GridFIT3D
 
-#----- Funtions -----#
+# ----- Funtions -----#
 m = 1
 n = 0
 p = 1
-theta = 0 #np.pi/8
+theta = 0  # np.pi/8
 
 # Analytic solution of cubic resonator
 # Ref: http://faculty.pccu.edu.tw/~meng/new%20EM6.pdf pp.20/24
 
+
 def analytic_sol_Hz(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
 
-    return np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(n * np.pi / Ly * (y_0 - Ly/2)) * np.sin(
-        p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.sin(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hy(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (n * np.pi / Ly) * (p * np.pi / Lz) * np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.sin(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (n * np.pi / Ly)
+        * (p * np.pi / Lz)
+        * np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.sin(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hx(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (m * np.pi / Lx) * (p * np.pi / Lz) * np.sin(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (m * np.pi / Lx)
+        * (p * np.pi / Lz)
+        * np.sin(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
-#---- Domain definition ----#
+# ---- Domain definition ----#
 
 # Number of mesh cells
 Nx = 30
@@ -54,11 +90,11 @@ def analytic_sol_Hx(x, y, z, t):
 Nz = 30
 
 # Embedded boundaries
-stl_file = 'stl/cube.stl'
+stl_file = "stl/cube.stl"
 surf = pv.read(stl_file)
 
-stl_solids = {'Solid 1': stl_file}
-stl_materials = {'Solid 1': 'vacuum'}
+stl_solids = {"Solid 1": stl_file}
+stl_materials = {"Solid 1": "vacuum"}
 stl_rotate = [0, 0, 0]
 stl_translate = -np.array(surf.center)
 stl_scale = 1.0
@@ -71,57 +107,68 @@ def analytic_sol_Hx(x, y, z, t):
 
 # Domain bounds
 xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds
-Lx, Ly, Lz = (xmax-xmin), (ymax-ymin), (zmax-zmin)
-padx, pady, padz = Lx*0.2, Ly*0.2, Lz*0.2
+Lx, Ly, Lz = (xmax - xmin), (ymax - ymin), (zmax - zmin)
+padx, pady, padz = Lx * 0.2, Ly * 0.2, Lz * 0.2
 
-xmin, ymin, zmin = (xmin-padx), (ymin-pady), (zmin-padz)
-xmax, ymax, zmax = (xmax+padx), (ymax+pady), (zmax+padz)
+xmin, ymin, zmin = (xmin - padx), (ymin - pady), (zmin - padz)
+xmax, ymax, zmax = (xmax + padx), (ymax + pady), (zmax + padz)
 
 # boundary conditions
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
 # set FIT solver
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, 
-                stl_solids=stl_solids, 
-                stl_rotate=stl_rotate,
-                stl_scale=stl_scale,
-                stl_translate=stl_translate,
-                stl_materials=stl_materials)
-
-solver = SolverFIT3D(grid, 
-                     bc_low=bc_low, bc_high=bc_high, 
-                     use_stl=True, bg=[np.inf, 1.0]) #PEC backgroung
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_rotate=stl_rotate,
+    stl_scale=stl_scale,
+    stl_translate=stl_translate,
+    stl_materials=stl_materials,
+)
+
+solver = SolverFIT3D(
+    grid, bc_low=bc_low, bc_high=bc_high, use_stl=True, bg=[np.inf, 1.0]
+)  # PEC backgroung
 
 analytic = SolverFIT3D(grid, bc_low=bc_low, bc_high=bc_high, use_conductors=False)
 
 dx, dy, dz = solver.dx, solver.dy, solver.dz
 
 # Plotting functions
-folder ='imgRes'
+folder = "imgRes"
+
 
 def get_slice(plane):
-    if plane == 'XY':
-        xx, yy, zz = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-        title = '(x,y,Nz/2)'
-        xax, yax = 'ny', 'nx'
+    if plane == "XY":
+        xx, yy, zz = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+        title = "(x,y,Nz/2)"
+        xax, yax = "ny", "nx"
         lims = {0: 0.1, 1: 0.1, 2: 1}
-        extent = [0, Ny, 0, Nx]
 
-    if plane == 'ZY':
-        xx, yy, zz = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-        title = '(Nx/2,y,z)'
-        xax, yax = 'nz', 'ny'
+    if plane == "ZY":
+        xx, yy, zz = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+        title = "(Nx/2,y,z)"
+        xax, yax = "nz", "ny"
         lims = {0: 1.0, 1: 0.1, 2: 0.1}
 
-    if plane == 'ZX':
-        xx, yy, zz = slice(0,Nx), int(Ny//2), slice(0,Nz) #plane ZX
-        title = '(x,Ny/2,z)'
-        xax, yax = 'nz', 'nx'
+    if plane == "ZX":
+        xx, yy, zz = slice(0, Nx), int(Ny // 2), slice(0, Nz)  # plane ZX
+        title = "(x,Ny/2,z)"
+        xax, yax = "nz", "nx"
         lims = {0: 1.0, 1: 0.1, 2: 1}
-    
+
     return xx, yy, zz, title, xax, yax, lims
 
+
 def get_analytic_H(analytic, n):
     dx, dy, dz = analytic.dx, analytic.dy, analytic.dz
     xmin, ymin, zmin = analytic.grid.xmin, analytic.grid.ymin, analytic.grid.zmin
@@ -130,159 +177,177 @@ def get_analytic_H(analytic, n):
     for ii in range(Nx):
         for jj in range(Ny):
             for kk in range(Nz):
-
-                if mask[ii,jj,kk]:
-
-                    x = (ii+0.5) * dx + xmin 
-                    y = (jj+0.5) * dy + ymin 
-                    z = (kk+0.5) * dz + zmin 
-                    analytic.H[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, (n-0.5) * solver.dt)
-                    analytic.H[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, (n-0.5) * solver.dt)
-                    analytic.H[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, (n-0.5) * solver.dt)
+                if mask[ii, jj, kk]:
+                    x = (ii + 0.5) * dx + xmin
+                    y = (jj + 0.5) * dy + ymin
+                    z = (kk + 0.5) * dz + zmin
+                    analytic.H[ii, jj, kk, "z"] = analytic_sol_Hz(
+                        x, y, z, (n - 0.5) * solver.dt
+                    )
+                    analytic.H[ii, jj, kk, "y"] = analytic_sol_Hy(
+                        x, y, z, (n - 0.5) * solver.dt
+                    )
+                    analytic.H[ii, jj, kk, "x"] = analytic_sol_Hx(
+                        x, y, z, (n - 0.5) * solver.dt
+                    )
 
 
 def plot_E_field(solver, n):
-
-    fig, axs = plt.subplots(3,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
+    fig, axs = plt.subplots(3, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
     lims = {0: 50, 1: 50, 2: 50}
 
-    #FIT
-    for j, plane in enumerate(['XY','ZY','ZX']):
-        for i, ax in enumerate(axs[j,:]):
+    # FIT
+    for j, plane in enumerate(["XY", "ZY", "ZX"]):
+        for i, ax in enumerate(axs[j, :]):
             xx, yy, zz, title, xax, yax, _ = get_slice(plane)
             vmin, vmax = -lims[i], lims[i]
-            im = ax.imshow(solver.E[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-            fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-            ax.set_title(f'FIT E{dims[i]}{title}')
+            im = ax.imshow(
+                solver.E[xx, yy, zz, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+            )
+            fig.colorbar(
+                im,
+                cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05),
+            )
+            ax.set_title(f"FIT E{dims[i]}{title}")
             ax.set_xlabel(xax)
             ax.set_ylabel(yax)
 
-    fig.suptitle(f'E field, timestep={n}')
-    fig.savefig(f'{folder}E/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"E field, timestep={n}")
+    fig.savefig(f"{folder}E/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
-def plot_H_field(solver, n):
 
-    fig, axs = plt.subplots(3,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
+def plot_H_field(solver, n):
+    fig, axs = plt.subplots(3, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
 
-    #FIT
-    for j, plane in enumerate(['XY','ZY','ZX']):
-        for i, ax in enumerate(axs[j,:]):
+    # FIT
+    for j, plane in enumerate(["XY", "ZY", "ZX"]):
+        for i, ax in enumerate(axs[j, :]):
             xx, yy, zz, title, xax, yax, lims = get_slice(plane)
             vmin, vmax = -lims[i], lims[i]
-            im = ax.imshow(solver.H[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-            fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-            ax.set_title(f'FIT H{dims[i]}{title}')
+            im = ax.imshow(
+                solver.H[xx, yy, zz, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+            )
+            fig.colorbar(
+                im,
+                cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05),
+            )
+            ax.set_title(f"FIT H{dims[i]}{title}")
             ax.set_xlabel(xax)
             ax.set_ylabel(yax)
 
-    fig.suptitle(f'H field, timestep={n}')
-    fig.savefig(f'{folder}H/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"H field, timestep={n}")
+    fig.savefig(f"{folder}H/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
+
 def plot_analytic(solver, n):
-    fig, axs = plt.subplots(3,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
+    fig, axs = plt.subplots(3, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
 
-    #FIT
+    # FIT
     get_analytic_H(solver, n)
-    for j, plane in enumerate(['XY','ZY','ZX']):
-        for i, ax in enumerate(axs[j,:]):
+    for j, plane in enumerate(["XY", "ZY", "ZX"]):
+        for i, ax in enumerate(axs[j, :]):
             xx, yy, zz, title, xax, yax, lims = get_slice(plane)
             vmin, vmax = -lims[i], lims[i]
-            im = ax.imshow(solver.H[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-            fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-            ax.set_title(f'FIT H{dims[i]}{title}')
+            im = ax.imshow(
+                solver.H[xx, yy, zz, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+            )
+            fig.colorbar(
+                im,
+                cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05),
+            )
+            ax.set_title(f"FIT H{dims[i]}{title}")
             ax.set_xlabel(xax)
             ax.set_ylabel(yax)
 
-    fig.suptitle(f'Analytic H, timestep={n}')
-    fig.savefig(f'{folder}H/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"Analytic H, timestep={n}")
+    fig.savefig(f"{folder}H/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
-#---- Initial conditions -----#
-mask = np.reshape(solver.grid.grid['Solid 1'], (solver.Nx, solver.Ny, solver.Nz))
+
+# ---- Initial conditions -----#
+mask = np.reshape(solver.grid.grid["Solid 1"], (solver.Nx, solver.Ny, solver.Nz))
 mask_x = mask
 mask_y = mask
-mask_z = mask # v7
+mask_z = mask  # v7
 
-#mask_x = np.roll(mask, [-1, -1], axis=[1,2] )
-#mask_y = np.roll(mask, [-1, -1], axis=[0,2] )
-#mask_z = np.roll(mask, [-1, -1], axis=[0,1] )
+# mask_x = np.roll(mask, [-1, -1], axis=[1,2] )
+# mask_y = np.roll(mask, [-1, -1], axis=[0,2] )
+# mask_z = np.roll(mask, [-1, -1], axis=[0,1] )
 
-#mask_x = np.roll(mask, [-1], axis=[0] )
-#mask_y = np.roll(mask, [-1], axis=[1] )
-#mask_z = np.roll(mask, [-1], axis=[2] )
+# mask_x = np.roll(mask, [-1], axis=[0] )
+# mask_y = np.roll(mask, [-1], axis=[1] )
+# mask_z = np.roll(mask, [-1], axis=[2] )
 
 # No zero waves for E IC, zero waves visible in ZY/ZX on Hx field (v5), (v6 + analytic=1)
-#mask_x = np.roll(mask, [-1], axis=[1])+np.roll(mask, [+1], axis=[1])
-#mask_y = np.roll(mask, [-1], axis=[0])+np.roll(mask, [+1], axis=[0])
-#mask_z = mask_x+mask_y
-
-#v8 - only a corner was missing, issues in Hy
-#mask_x = mask + np.roll(mask, [-1], axis=[1]) + np.roll(mask, [-1], axis=[2])
-#mask_y = mask
-#mask_z = mask + np.roll(mask, [-1], axis=[0]) + np.roll(mask, [-1], axis=[1])
-
-#v9 issues with corner hi-hi, issues in Hy
-#mask_x = np.roll(mask + np.roll(mask, [-1], axis=[1]),  [-1], axis=[2]) + mask
-#mask_y = mask
-#mask_z = np.roll(mask + np.roll(mask, [-1], axis=[0]),  [-1], axis=[1]) + mask
-
-#v10 - best so far, no corners, only some waves in E starting from low y in Ex and Ez
-#mask_x = mask + np.roll(mask, [-1], axis=[1]) + np.roll(mask, [-1], axis=[2])
-#mask_y = mask + np.roll(mask, [-1], axis=[0]) + np.roll(mask, [-1], axis=[2])
-#mask_z = mask + np.roll(mask, [-1], axis=[0]) + np.roll(mask, [-1], axis=[1])
-
-#v11 - issues with corners hi hi, same waves, coming from HzXY and HX YZ
-#mask_x = mask + np.roll(mask + np.roll(mask, [-1], axis=[1]),  [-1], axis=[2])
-#mask_y = mask + np.roll(mask + np.roll(mask, [-1], axis=[0]),  [-1], axis=[2])
-#mask_z = mask + np.roll(mask + np.roll(mask, [-1], axis=[0]),  [-1], axis=[1])
-
-#v12 
-mask_x = mask + np.roll(mask, [-1], axis=[1]) 
+# mask_x = np.roll(mask, [-1], axis=[1])+np.roll(mask, [+1], axis=[1])
+# mask_y = np.roll(mask, [-1], axis=[0])+np.roll(mask, [+1], axis=[0])
+# mask_z = mask_x+mask_y
+
+# v8 - only a corner was missing, issues in Hy
+# mask_x = mask + np.roll(mask, [-1], axis=[1]) + np.roll(mask, [-1], axis=[2])
+# mask_y = mask
+# mask_z = mask + np.roll(mask, [-1], axis=[0]) + np.roll(mask, [-1], axis=[1])
+
+# v9 issues with corner hi-hi, issues in Hy
+# mask_x = np.roll(mask + np.roll(mask, [-1], axis=[1]),  [-1], axis=[2]) + mask
+# mask_y = mask
+# mask_z = np.roll(mask + np.roll(mask, [-1], axis=[0]),  [-1], axis=[1]) + mask
+
+# v10 - best so far, no corners, only some waves in E starting from low y in Ex and Ez
+# mask_x = mask + np.roll(mask, [-1], axis=[1]) + np.roll(mask, [-1], axis=[2])
+# mask_y = mask + np.roll(mask, [-1], axis=[0]) + np.roll(mask, [-1], axis=[2])
+# mask_z = mask + np.roll(mask, [-1], axis=[0]) + np.roll(mask, [-1], axis=[1])
+
+# v11 - issues with corners hi hi, same waves, coming from HzXY and HX YZ
+# mask_x = mask + np.roll(mask + np.roll(mask, [-1], axis=[1]),  [-1], axis=[2])
+# mask_y = mask + np.roll(mask + np.roll(mask, [-1], axis=[0]),  [-1], axis=[2])
+# mask_z = mask + np.roll(mask + np.roll(mask, [-1], axis=[0]),  [-1], axis=[1])
+
+# v12
+mask_x = mask + np.roll(mask, [-1], axis=[1])
 mask_x += np.roll(mask_x, [-1], axis=[2])
-mask_y = mask + np.roll(mask, [-1], axis=[0]) 
+mask_y = mask + np.roll(mask, [-1], axis=[0])
 mask_y += np.roll(mask_y, [-1], axis=[2])
-mask_z = mask + np.roll(mask, [-1], axis=[0]) 
+mask_z = mask + np.roll(mask, [-1], axis=[0])
 mask_z += np.roll(mask_z, [-1], axis=[1])
 
 
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
-
-            x = (ii+0.5) * dx + xmin 
-            y = (jj+0.5) * dy + ymin 
-            z = (kk+0.5) * dz + zmin 
-
-            if mask_x[ii,jj,kk]:
-                solver.H[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, -0.5 * solver.dt)
-            if mask_y[ii,jj,kk]:
-                solver.H[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, -0.5 * solver.dt)
-            if mask_z[ii,jj,kk]:
-                solver.H[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, -0.5 * solver.dt)
- 
-#----- Time loop -----#
+            x = (ii + 0.5) * dx + xmin
+            y = (jj + 0.5) * dy + ymin
+            z = (kk + 0.5) * dz + zmin
+
+            if mask_x[ii, jj, kk]:
+                solver.H[ii, jj, kk, "x"] = analytic_sol_Hx(x, y, z, -0.5 * solver.dt)
+            if mask_y[ii, jj, kk]:
+                solver.H[ii, jj, kk, "y"] = analytic_sol_Hy(x, y, z, -0.5 * solver.dt)
+            if mask_z[ii, jj, kk]:
+                solver.H[ii, jj, kk, "z"] = analytic_sol_Hz(x, y, z, -0.5 * solver.dt)
+
+# ----- Time loop -----#
 Nt = 100
 for nt in tqdm(range(Nt)):
-
     solver.one_step()
 
-    if nt%2:
+    if nt % 2:
         plot_E_field(solver, nt)
         plot_H_field(solver, nt)
-        #plot_analytic(analytic, nt)
+        # plot_analytic(analytic, nt)
 
-#convert -delay 5 -loop 0 imgRes/*.png imgRes/.gif
-'''
+# convert -delay 5 -loop 0 imgRes/*.png imgRes/.gif
+"""
 solver.plot3D(field='H', component='z', clim=None,  hide_solids=None, show_solids=None, 
                add_stl='Solid 1', stl_opacity=0.1, stl_colors='white',
                title=None, cmap='rainbow', clip_volume=True, clip_normal='-z',
                clip_box=False, clip_bounds=None, off_screen=False, zoom=0.4, n=nt)
-'''
\ No newline at end of file
+"""
diff --git a/examples/fit/script_injection_fit.py b/examples/fit/script_injection_fit.py
index 03a88d3..6d15662 100644
--- a/examples/fit/script_injection_fit.py
+++ b/examples/fit/script_injection_fit.py
@@ -1,16 +1,11 @@
 import numpy as np
-import matplotlib.pyplot as plt
-import os, sys
-import pyvista as pv
 import h5py
 from tqdm import tqdm
 from scipy.constants import c as c_light
-from scipy.constants import epsilon_0
 
-sys.path.append('../')
 
 from solverFIT3D import SolverFIT3D
-from gridFIT3D import GridFIT3D 
+from gridFIT3D import GridFIT3D
 
 # ---------- Domain setup ---------
 # Number of mesh cells
@@ -19,88 +14,102 @@
 Nz = 100
 
 # Domain bounds
-xmin, xmax = -2.5e-2, +2.5e-2 
+xmin, xmax = -2.5e-2, +2.5e-2
 ymin, ymax = -2.5e-2, +2.5e-2
-zmin, zmax = -5e-2, +5e-2 
-Lx, Ly, Lz = (xmax-xmin), (ymax-ymin), (zmax-zmin)
+zmin, zmax = -5e-2, +5e-2
+Lx, Ly, Lz = (xmax - xmin), (ymax - ymin), (zmax - zmin)
 
 # boundary conditions
-bc_low=['pec', 'pec', 'abc']
-bc_high=['pec', 'pec', 'abc']
+bc_low = ["pec", "pec", "abc"]
+bc_high = ["pec", "pec", "abc"]
 
 # set FIT solver
 grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz)
 
-solver = SolverFIT3D(grid, bc_low=bc_low, bc_high=bc_high, bg='vacuum')
+solver = SolverFIT3D(grid, bc_low=bc_low, bc_high=bc_high, bg="vacuum")
 
 # ------------ Beam source ----------------
 # Beam parameters
-sigmaz = 5e-2       #[m]
-q = 1e-9            #[C]
-beta = 1.0          # beam beta
-xs = 0.             # x source position [m]
-ys = 0.             # y source position [m]
-xt = 0.             # x test position [m]
-yt = 0.             # y test position [m]
-tinj = 8.53*sigmaz/c_light  # injection time offset [s]
+sigmaz = 5e-2  # [m]
+q = 1e-9  # [C]
+beta = 1.0  # beam beta
+xs = 0.0  # x source position [m]
+ys = 0.0  # y source position [m]
+xt = 0.0  # x test position [m]
+yt = 0.0  # y test position [m]
+tinj = 8.53 * sigmaz / c_light  # injection time offset [s]
 
 x, y, z = solver.x, solver.y, solver.z
-ixs, iys = np.abs(x-xs).argmin(), np.abs(y-ys).argmin()
-ixt, iyt = np.abs(x-xt).argmin(), np.abs(y-yt).argmin()
+ixs, iys = np.abs(x - xs).argmin(), np.abs(y - ys).argmin()
+ixt, iyt = np.abs(x - xt).argmin(), np.abs(y - yt).argmin()
+
 
 def beam(solver, t, gap=0):
     # Define gaussian
     if gap == 0:
-        izs = slice(0,Nz)
-    else: 
-        izs = slice(gap,Nz-gap)
+        izs = slice(0, Nz)
+    else:
+        izs = slice(gap, Nz - gap)
 
     z = solver.z[izs]
-    s0 = z.min()-c_light*tinj
-    s = z-c_light*t
-    profile = 1/np.sqrt(2*np.pi*sigmaz**2)*np.exp(-(s-s0)**2/(2*sigmaz**2))
+    s0 = z.min() - c_light * tinj
+    s = z - c_light * t
+    profile = (
+        1 / np.sqrt(2 * np.pi * sigmaz**2) * np.exp(-((s - s0) ** 2) / (2 * sigmaz**2))
+    )
 
     # Update current
-    current = q*c_light*profile/solver.dx/solver.dy
-    solver.J[ixs,iys,izs,'z'] = current
+    current = q * c_light * profile / solver.dx / solver.dy
+    solver.J[ixs, iys, izs, "z"] = current
+
 
 # ------------ Time loop ----------------
 # Define wake length
-wakelength = 10*1e-2 #[m]
+wakelength = 10 * 1e-2  # [m]
 
 # Obtain simulation time
-tmax = (wakelength + tinj*c_light + (zmax-zmin))/c_light #[s]
-Nt = int(tmax/solver.dt)
-t = np.arange(0, Nt*solver.dt, solver.dt)
-ninj = int(tinj/solver.dt)
+tmax = (wakelength + tinj * c_light + (zmax - zmin)) / c_light  # [s]
+Nt = int(tmax / solver.dt)
+t = np.arange(0, Nt * solver.dt, solver.dt)
+ninj = int(tinj / solver.dt)
 
 # Prepare save files
 save = False
 plot = True
 
 if save:
-    hf = h5py.File('imgInj/Ez_gap0_pec.h5', 'w')
-    hf2 = h5py.File('imgInj/Jz.h5', 'w')
-    hf['x'], hf['y'], hf['z'], hf['t'] = x, y, z, t
+    hf = h5py.File("imgInj/Ez_gap0_pec.h5", "w")
+    hf2 = h5py.File("imgInj/Jz.h5", "w")
+    hf["x"], hf["y"], hf["z"], hf["t"] = x, y, z, t
 
 for n in tqdm(range(Nt)):
-
     # Initial condition
-    beam(solver, n*solver.dt)
+    beam(solver, n * solver.dt)
 
     # Advance
     solver.one_step()
 
     # Plot 2D
-    if n>(ninj-1000) and n%20 == 0 and plot:
-        solver.plot2D(field='E', component='y', plane='ZY', pos=0.5, norm=None, 
-                      vmin=-5e5, vmax=5e5, cmap='bwr', title='imgInj/Ez', off_screen=True,  
-                      n=n, interpolation='spline36')
-    
+    if n > (ninj - 1000) and n % 20 == 0 and plot:
+        solver.plot2D(
+            field="E",
+            component="y",
+            plane="ZY",
+            pos=0.5,
+            norm=None,
+            vmin=-5e5,
+            vmax=5e5,
+            cmap="bwr",
+            title="imgInj/Ez",
+            off_screen=True,
+            n=n,
+            interpolation="spline36",
+        )
+
     # Save
     if save:
-        hf['#'+str(n).zfill(5)]=solver.E[ixt, iyt, :, 'z'] 
-        hf2['#'+str(n).zfill(5)]=solver.J[ixt, iyt, :, 'z'] 
+        hf["#" + str(n).zfill(5)] = solver.E[ixt, iyt, :, "z"]
+        hf2["#" + str(n).zfill(5)] = solver.J[ixt, iyt, :, "z"]
 
 # Close save file
 if save:
@@ -110,4 +119,4 @@ def beam(solver, t, gap=0):
 
 # Compare results TODO
 if plot:
-    pass
\ No newline at end of file
+    pass
diff --git a/examples/fit/script_letters_fit.py b/examples/fit/script_letters_fit.py
index 29206b6..6c5e5ea 100644
--- a/examples/fit/script_letters_fit.py
+++ b/examples/fit/script_letters_fit.py
@@ -1,16 +1,12 @@
 import numpy as np
 import matplotlib.pyplot as plt
-import os, sys
 import pyvista as pv
 from tqdm import tqdm
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 from scipy.constants import c as c_light
 
-sys.path.append('../')
-
 from solverFIT3D import SolverFIT3D
-from gridFIT3D import GridFIT3D 
-from field import Field 
+from gridFIT3D import GridFIT3D
 
 
 # ---------- Domain setup ---------
@@ -20,11 +16,11 @@
 Nz = 200
 
 # Embedded boundaries
-stl_file = 'stl/ceiheart.stl'
+stl_file = "stl/ceiheart.stl"
 surf = pv.read(stl_file)
 
-stl_solids = {'Solid 1': stl_file}
-stl_materials = {'Solid 1': 'PEC'}
+stl_solids = {"Solid 1": stl_file}
+stl_materials = {"Solid 1": "PEC"}
 stl_rotate = [0, -90, 0]
 stl_scale = 1e-3
 
@@ -35,114 +31,136 @@
 
 # Domain bounds
 xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds
-padx, pady, padz = (xmax-xmin)*0.1, (ymax-ymin)*0.3, (zmax-zmin)*0.1
+padx, pady, padz = (xmax - xmin) * 0.1, (ymax - ymin) * 0.3, (zmax - zmin) * 0.1
 
-xmin, ymin, zmin = (xmin-padx), (ymin-pady), (zmin-padz)
-xmax, ymax, zmax = (xmax+padx), (ymax+pady), (zmax+padz)
+xmin, ymin, zmin = (xmin - padx), (ymin - pady), (zmin - padz)
+xmax, ymax, zmax = (xmax + padx), (ymax + pady), (zmax + padz)
 
 # boundary conditions
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
 # set FIT solver
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, 
-                stl_solids=stl_solids, 
-                stl_rotate=stl_rotate,
-                stl_scale=stl_scale,
-                stl_materials=stl_materials)
-
-solver = SolverFIT3D(grid, 
-                     bc_low=bc_low, bc_high=bc_high, 
-                     use_stl=True)
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_rotate=stl_rotate,
+    stl_scale=stl_scale,
+    stl_materials=stl_materials,
+)
+
+solver = SolverFIT3D(grid, bc_low=bc_low, bc_high=bc_high, use_stl=True)
 
 # ------------ Plot functions ---------------
-plane = 'YZ'
+plane = "YZ"
 
-if plane == 'XY':
-    x, y, z = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-    title = '(x,y,Nz/2)'
-    xax, yax = 'y', 'x'
-    extent = [0,Ny,0,Nx]
+if plane == "XY":
+    x, y, z = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+    title = "(x,y,Nz/2)"
+    xax, yax = "y", "x"
+    extent = [0, Ny, 0, Nx]
 
-if plane == 'YZ':
-    x, y, z = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-    title = '(Nx/2,y,z)'
-    xax, yax = 'z', 'y'
-    extent = [0,Nz,0,Ny]
-
-def plot_E_field(solver, n):
+if plane == "YZ":
+    x, y, z = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+    title = "(Nx/2,y,z)"
+    xax, yax = "z", "y"
+    extent = [0, Nz, 0, Ny]
 
-    fig, ax = plt.subplots(1,1, figsize=[8,4])
-    vmin, vmax = 0., 1.e6
 
-    im = ax.imshow(solver.E.get_abs()[x, y, z], cmap='jet', extent=extent, origin='lower', vmin=vmin, vmax=vmax,)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FIT Abs(E){title}, timestep={n}')
+def plot_E_field(solver, n):
+    fig, ax = plt.subplots(1, 1, figsize=[8, 4])
+    vmin, vmax = 0.0, 1.0e6
+
+    im = ax.imshow(
+        solver.E.get_abs()[x, y, z],
+        cmap="jet",
+        extent=extent,
+        origin="lower",
+        vmin=vmin,
+        vmax=vmax,
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FIT Abs(E){title}, timestep={n}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
     # Patch stl
-    mask = np.reshape(grid.grid['Solid 1'], (Nx, Ny, Nz))
+    mask = np.reshape(grid.grid["Solid 1"], (Nx, Ny, Nz))
     patch = np.ones((Nx, Ny, Nz))
     patch[np.logical_not(mask)] = np.nan
-    ax.imshow(patch[x,y,z], cmap='Greys', extent=extent, origin='lower', alpha=0.2)
+    ax.imshow(patch[x, y, z], cmap="Greys", extent=extent, origin="lower", alpha=0.2)
 
-    #fig.suptitle(f'Abs(E) field, timestep={n}')
+    # fig.suptitle(f'Abs(E) field, timestep={n}')
     fig.tight_layout()
-    fig.savefig('imgAbsE/'+str(n).zfill(4)+'.png')
+    fig.savefig("imgAbsE/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
-def plot_H_field(solver, n):
 
-    fig, ax = plt.subplots(1,1, figsize=[8,4])
-    vmin, vmax = 0, 2.e3
-    
-    im = ax.imshow(solver.H.get_abs()[x, y, z], cmap='jet', extent=extent, origin='lower', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FIT Abs(H){title}, timestep={n}')
+def plot_H_field(solver, n):
+    fig, ax = plt.subplots(1, 1, figsize=[8, 4])
+    vmin, vmax = 0, 2.0e3
+
+    im = ax.imshow(
+        solver.H.get_abs()[x, y, z],
+        cmap="jet",
+        extent=extent,
+        origin="lower",
+        vmin=vmin,
+        vmax=vmax,
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FIT Abs(H){title}, timestep={n}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
     # Patch stl
-    '''
+    """
     mask = np.reshape(grid.grid['Solid 1'], (Nx, Ny, Nz))
     patch = np.ones((Nx, Ny, Nz))
     patch[np.logical_not(mask)] = np.nan
     ax.imshow(patch[x,y,z], cmap='Greys', extent=extent, origin='lower', alpha=0.2)
-    '''
-    
-    #fig.suptitle(f'Abs(H) field, timestep={n}')
+    """
+
+    # fig.suptitle(f'Abs(H) field, timestep={n}')
     fig.tight_layout()
-    fig.savefig('imgAbsH/'+str(n).zfill(4)+'.png')
+    fig.savefig("imgAbsH/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
 
 # ------------ Time loop ----------------
 
-#solver.J[int(Nx/2), Ny-1, 1, 'z'] = 1.0*c_light
+# solver.J[int(Nx/2), Ny-1, 1, 'z'] = 1.0*c_light
 
 Nt = 800
 for n in tqdm(range(Nt)):
-
     # Initial conditions
-    zpos = int(Nz*n/(200))
+    zpos = int(Nz * n / (200))
     if zpos < Nz:
-        solver.J[int(Nx/2), Ny-10, zpos, 'z'] = 1.0*c_light
-        solver.J[int(Nx/2), 10, Nz-1-zpos, 'z'] = 1.0*c_light
+        solver.J[int(Nx / 2), Ny - 10, zpos, "z"] = 1.0 * c_light
+        solver.J[int(Nx / 2), 10, Nz - 1 - zpos, "z"] = 1.0 * c_light
 
     # Advance
     solver.one_step()
 
     if zpos < Nz:
-        solver.J[int(Nx/2), Ny-10, zpos, 'z'] = 0.0
-        solver.J[int(Nx/2), 10, Nz-1-zpos, 'z'] = 0.
+        solver.J[int(Nx / 2), Ny - 10, zpos, "z"] = 0.0
+        solver.J[int(Nx / 2), 10, Nz - 1 - zpos, "z"] = 0.0
 
     # Plot
-    if n%10 == 0:
-        #plot_E_field(solver, n)
+    if n % 10 == 0:
+        # plot_E_field(solver, n)
         plot_H_field(solver, n)
-
-
-
diff --git a/examples/fit/script_noeb_fit.py b/examples/fit/script_noeb_fit.py
index 75ce8fc..304408b 100644
--- a/examples/fit/script_noeb_fit.py
+++ b/examples/fit/script_noeb_fit.py
@@ -1,25 +1,20 @@
 import numpy as np
 from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-import matplotlib
+
 # matplotlib.use('Agg')
 from matplotlib import pyplot as plt
-from matplotlib import patches
-import os, sys
 from tqdm import tqdm
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 
-sys.path.append('../')
 
 from solverFIT3D import SolverFIT3D
 from solver3D import EMSolver3D
 from grid3D import Grid3D
 from conductors3d import noConductor
-from scipy.special import jv
-from field import Field 
 
 Z0 = np.sqrt(mu_0 / eps_0)
 
-L = 1.
+L = 1.0
 # Number of mesh cells
 N = 50
 Nx = N
@@ -32,147 +27,185 @@
 dy = L / Ny
 dz = L / Nz
 
-xmin = -Lx/2  + dx / 2
-xmax = Lx/2 + dx / 2
-ymin = - Ly/2 + dx / 2
-ymax = Ly/2 + dx / 2
-zmin = - Lz/2 + dx / 2
-zmax = Lz/2 + dx / 2
+xmin = -Lx / 2 + dx / 2
+xmax = Lx / 2 + dx / 2
+ymin = -Ly / 2 + dx / 2
+ymax = Ly / 2 + dx / 2
+zmin = -Lz / 2 + dx / 2
+zmax = Lz / 2 + dx / 2
 
 conductors = noConductor()
-bc_low=['Periodic', 'Periodic', 'Periodic']
-bc_high=['Periodic', 'Periodic', 'Periodic']
+bc_low = ["Periodic", "Periodic", "Periodic"]
+bc_high = ["Periodic", "Periodic", "Periodic"]
 
-#bc_low=['pec', 'pec', 'pec']
-#bc_high=['pec', 'pec', 'pec']
+# bc_low=['pec', 'pec', 'pec']
+# bc_high=['pec', 'pec', 'pec']
 
 NCFL = 0.5
 
 # set FIT solver
-gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FIT')
+gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FIT")
 solverFIT = SolverFIT3D(gridFIT, bc_low=bc_low, bc_high=bc_high)
 
 # set FDTD solver
-gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FDTD')
-solverFDTD = EMSolver3D(gridFDTD, 'FDTD', NCFL, bc_low=bc_low, bc_high=bc_high)
+gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FDTD")
+solverFDTD = EMSolver3D(gridFDTD, "FDTD", NCFL, bc_low=bc_low, bc_high=bc_high)
 
 # set source
-xs, ys, zs = int(3*Nx/4), int(3*Ny/4),  int(Nz//2)
-solverFIT.E[xs, ys, zs, 'z'] = 1.0*c_light
-solverFDTD.Ez[xs, ys, zs] = 1.0*c_light
+xs, ys, zs = int(3 * Nx / 4), int(3 * Ny / 4), int(Nz // 2)
+solverFIT.E[xs, ys, zs, "z"] = 1.0 * c_light
+solverFDTD.Ez[xs, ys, zs] = 1.0 * c_light
 
 Nt = 150
-plane = 'XY'
+plane = "XY"
 
-if plane == 'XY':
-    x, y, z = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-    title = '(x,y,Nz/2)'
-    xax, yax = 'y', 'x'
+if plane == "XY":
+    x, y, z = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+    title = "(x,y,Nz/2)"
+    xax, yax = "y", "x"
 
-if plane == 'YZ':
-    x, y, z = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-    title = '(Nx/2,y,z)'
-    xax, yax = 'z', 'y'
+if plane == "YZ":
+    x, y, z = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+    title = "(Nx/2,y,z)"
+    xax, yax = "z", "y"
 
-def plot_E_field(solverFIT, solverFDTD, n):
 
-    fig, axs = plt.subplots(2,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
-    vmin, vmax = -1.e6, 1.e6
-    #FIT
+def plot_E_field(solverFIT, solverFDTD, n):
+    fig, axs = plt.subplots(2, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
+    vmin, vmax = -1.0e6, 1.0e6
+    # FIT
     extent = (0, N, 0, N)
-    for i, ax in enumerate(axs[0,:]):
-        #vmin, vmax = -np.max(np.abs(solverFIT.E[x, y, z, dims[i]])), np.max(np.abs(solverFIT.E[x, y, z, dims[i]]))
-        im = ax.imshow(solverFIT.E[x, y, z, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT E{dims[i]}{title}')
+    for i, ax in enumerate(axs[0, :]):
+        # vmin, vmax = -np.max(np.abs(solverFIT.E[x, y, z, dims[i]])), np.max(np.abs(solverFIT.E[x, y, z, dims[i]]))
+        im = ax.imshow(
+            solverFIT.E[x, y, z, dims[i]],
+            cmap="rainbow",
+            vmin=vmin,
+            vmax=vmax,
+            extent=extent,
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT E{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    #FDTD
-    ax = axs[1,0]
+    # FDTD
+    ax = axs[1, 0]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ex[x, y, z])), np.max(np.abs(solverFDTD.Ex[x, y, z]))
-    im = ax.imshow(solverFDTD.Ex[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ex{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ex[x, y, z])), np.max(np.abs(solverFDTD.Ex[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Ex[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ex{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,1]
+    ax = axs[1, 1]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ey[x, y, z])), np.max(np.abs(solverFDTD.Ey[x, y, z]))
-    im = ax.imshow(solverFDTD.Ey[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ey{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ey[x, y, z])), np.max(np.abs(solverFDTD.Ey[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Ey[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ey{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,2]
+    ax = axs[1, 2]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ez[x, y, z])), np.max(np.abs(solverFDTD.Ez[x, y, z]))
-    im = ax.imshow(solverFDTD.Ez[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ez{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ez[x, y, z])), np.max(np.abs(solverFDTD.Ez[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Ez[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ez{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-
-    fig.suptitle(f'E field, timestep={n}')
-    fig.savefig('imgE/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"E field, timestep={n}")
+    fig.savefig("imgE/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
-def plot_H_field(solverFIT, solverFDTD, n):
 
-    fig, axs = plt.subplots(2,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
+def plot_H_field(solverFIT, solverFDTD, n):
+    fig, axs = plt.subplots(2, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
     extent = (0, N, 0, N)
     vmin, vmax = -5e3, 5e3
-    #FIT
-    for i, ax in enumerate(axs[0,:]):
-        #vmin, vmax = -np.max(np.abs(solverFIT.H[x, y, z, dims[i]])), np.max(np.abs(solverFIT.H[x, y, z, dims[i]]))
-        im = ax.imshow(solverFIT.H[x, y, z, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT H{dims[i]}{title}')
+    # FIT
+    for i, ax in enumerate(axs[0, :]):
+        # vmin, vmax = -np.max(np.abs(solverFIT.H[x, y, z, dims[i]])), np.max(np.abs(solverFIT.H[x, y, z, dims[i]]))
+        im = ax.imshow(
+            solverFIT.H[x, y, z, dims[i]],
+            cmap="rainbow",
+            vmin=vmin,
+            vmax=vmax,
+            extent=extent,
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT H{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    #FDTD
-    ax = axs[1,0]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hx[x, y, z])), np.max(np.abs(solverFDTD.Hx[x, y, z]))
-    im = ax.imshow(solverFDTD.Hx[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hx{title}')
+    # FDTD
+    ax = axs[1, 0]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hx[x, y, z])), np.max(np.abs(solverFDTD.Hx[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Hx[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hx{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,1]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hy[x, y, z])), np.max(np.abs(solverFDTD.Hy[x, y, z]))
-    im = ax.imshow(solverFDTD.Hy[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hy{title}')
+    ax = axs[1, 1]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hy[x, y, z])), np.max(np.abs(solverFDTD.Hy[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Hy[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hy{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,2]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hz[x, y, z])), np.max(np.abs(solverFDTD.Hz[x, y, z]))
-    im = ax.imshow(solverFDTD.Hz[x, y, z], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hz{title}')
+    ax = axs[1, 2]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hz[x, y, z])), np.max(np.abs(solverFDTD.Hz[x, y, z]))
+    im = ax.imshow(
+        solverFDTD.Hz[x, y, z], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hz{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    fig.suptitle(f'H field, timestep={n}')
-    fig.savefig('imgH/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"H field, timestep={n}")
+    fig.savefig("imgH/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
-for n in tqdm(range(Nt)):
 
+for n in tqdm(range(Nt)):
     solverFIT.one_step()
     solverFDTD.one_step()
 
     plot_E_field(solverFIT, solverFDTD, n)
     plot_H_field(solverFIT, solverFDTD, n)
-
diff --git a/examples/fit/script_noeb_resonator_analytic.py b/examples/fit/script_noeb_resonator_analytic.py
index 7f611b9..5d0b21d 100644
--- a/examples/fit/script_noeb_resonator_analytic.py
+++ b/examples/fit/script_noeb_resonator_analytic.py
@@ -1,63 +1,97 @@
 import numpy as np
 from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-import matplotlib
+
 # matplotlib.use('Agg')
 from matplotlib import pyplot as plt
-from matplotlib import patches
-import os, sys
 from tqdm import tqdm
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 
-sys.path.append('../')
 
 from solverFIT3D import SolverFIT3D
 from solver3D import EMSolver3D
 from grid3D import Grid3D
-from conductors3d import noConductor, InCube, ConductorsAssembly
-from scipy.special import jv
-from field import Field 
+from conductors3d import noConductor
 
-#----- TE Funtions -----#
+# ----- TE Funtions -----#
 m = 1
 n = 0
 p = 1
-theta = 0 #np.pi/8
+theta = 0  # np.pi/8
 
 # Analytic solution of cubic resonator
 # Ref: http://faculty.pccu.edu.tw/~meng/new%20EM6.pdf pp.20/24
 
+
 def analytic_sol_Hz(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
 
-    return np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(n * np.pi / Ly * (y_0 - Ly/2)) * np.sin(
-        p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.sin(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hy(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (n * np.pi / Ly) * (p * np.pi / Lz) * np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.sin(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (n * np.pi / Ly)
+        * (p * np.pi / Lz)
+        * np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.sin(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hx(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (m * np.pi / Lx) * (p * np.pi / Lz) * np.sin(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (m * np.pi / Lx)
+        * (p * np.pi / Lz)
+        * np.sin(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
 
 
-#---- Domain definition ----#
+# ---- Domain definition ----#
 
 Z0 = np.sqrt(mu_0 / eps_0)
 
-L = 1. # Domain length
-N = 50 # Number of mesh cells
+L = 1.0  # Domain length
+N = 50  # Number of mesh cells
 
 Nx = N
 Ny = N
@@ -69,26 +103,27 @@ def analytic_sol_Hx(x, y, z, t):
 dy = L / Ny
 dz = L / Nz
 
-xmin = -Lx/2 
-xmax = Lx/2 
-ymin = - Ly/2 
-ymax = Ly/2 
-zmin = - Lz/2
-zmax = Lz/2
+xmin = -Lx / 2
+xmax = Lx / 2
+ymin = -Ly / 2
+ymax = Ly / 2
+zmin = -Lz / 2
+zmax = Lz / 2
 
-#---- Plotting functions ----#
-folder ='imgRes'
-plane = 'XY'
+# ---- Plotting functions ----#
+folder = "imgRes"
+plane = "XY"
 
-if plane == 'XY':
-    xx, yy, zz = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-    title = '(x,y,Nz/2)'
-    xax, yax = 'y', 'x'
+if plane == "XY":
+    xx, yy, zz = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+    title = "(x,y,Nz/2)"
+    xax, yax = "y", "x"
+
+if plane == "YZ":
+    xx, yy, zz = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+    title = "(Nx/2,y,z)"
+    xax, yax = "z", "y"
 
-if plane == 'YZ':
-    xx, yy, zz = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-    title = '(Nx/2,y,z)'
-    xax, yax = 'z', 'y'
 
 def get_analytic_H(analytic, n):
     dx, dy, dz = analytic.dx, analytic.dy, analytic.dz
@@ -98,123 +133,165 @@ def get_analytic_H(analytic, n):
     for ii in range(Nx):
         for jj in range(Ny):
             for kk in range(Nz):
+                x = (ii + 0.5) * dx + xmin
+                y = (jj + 0.5) * dy + ymin
+                z = (kk + 0.5) * dz + zmin
+                analytic.H[ii, jj, kk, "z"] = analytic_sol_Hz(
+                    x, y, z, (n - 0.5) * solverFIT.dt
+                )
+                analytic.H[ii, jj, kk, "y"] = analytic_sol_Hy(
+                    x, y, z, (n - 0.5) * solverFIT.dt
+                )
+                analytic.H[ii, jj, kk, "x"] = analytic_sol_Hx(
+                    x, y, z, (n - 0.5) * solverFIT.dt
+                )
 
-                x = (ii+0.5) * dx + xmin 
-                y = (jj+0.5) * dy + ymin 
-                z = (kk+0.5) * dz + zmin 
-                analytic.H[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, (n-0.5) * solverFIT.dt)
-                analytic.H[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, (n-0.5) * solverFIT.dt)
-                analytic.H[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, (n-0.5) * solverFIT.dt)
 
 def plot_E_field(solverFIT, solverFDTD, n):
+    fig, axs = plt.subplots(2, 3, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
+    vmin, vmax = -500.0, 500.0
 
-    fig, axs = plt.subplots(2,3, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
-    vmin, vmax = -500., 500.
-
-    #FIT
+    # FIT
     extent = (0, N, 0, N)
-    for i, ax in enumerate(axs[0,:]):
-        #vmin, vmax = -np.max(np.abs(solverFIT.E[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.E[xx, yy, zz, dims[i]]))
-        im = ax.imshow(solverFIT.E[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT E{dims[i]}{title}')
+    for i, ax in enumerate(axs[0, :]):
+        # vmin, vmax = -np.max(np.abs(solverFIT.E[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.E[xx, yy, zz, dims[i]]))
+        im = ax.imshow(
+            solverFIT.E[xx, yy, zz, dims[i]],
+            cmap="rainbow",
+            vmin=vmin,
+            vmax=vmax,
+            extent=extent,
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT E{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    #FDTD
-    ax = axs[1,0]
+    # FDTD
+    ax = axs[1, 0]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ex[xx, yy, zz])), np.max(np.abs(solverFDTD.Ex[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Ex[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ex{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ex[xx, yy, zz])), np.max(np.abs(solverFDTD.Ex[xx, yy, zz]))
+    im = ax.imshow(
+        solverFDTD.Ex[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ex{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,1]
+    ax = axs[1, 1]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ey[xx, yy, zz])), np.max(np.abs(solverFDTD.Ey[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Ey[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ey{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ey[xx, yy, zz])), np.max(np.abs(solverFDTD.Ey[xx, yy, zz]))
+    im = ax.imshow(
+        solverFDTD.Ey[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ey{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,2]
+    ax = axs[1, 2]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ez[xx, yy, zz])), np.max(np.abs(solverFDTD.Ez[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Ez[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ez{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ez[xx, yy, zz])), np.max(np.abs(solverFDTD.Ez[xx, yy, zz]))
+    im = ax.imshow(
+        solverFDTD.Ez[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ez{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
     fig.tight_layout(h_pad=0.3)
-    fig.suptitle(f'E field, timestep={n}')
-    fig.savefig(f'{folder}E/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"E field, timestep={n}")
+    fig.savefig(f"{folder}E/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
+
 def plot_H_field(solverFIT, solverFDTD, analytic, n):
-    
     get_analytic_H(analytic, n)
 
-    fig, axs = plt.subplots(3,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
-    #lims = {0: np.max(np.abs(analytic.Hx[xx, yy, zz])), 1: np.max(np.abs(analytic.Hy[xx, yy, zz])), 2: np.max(np.abs(analytic.Hz[xx, yy, zz]))}
-    lims = {0: 0.1, 1: 0.01, 2: 1.}
-    #vmin, vmax = -1., 1. 
+    fig, axs = plt.subplots(3, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
+    # lims = {0: np.max(np.abs(analytic.Hx[xx, yy, zz])), 1: np.max(np.abs(analytic.Hy[xx, yy, zz])), 2: np.max(np.abs(analytic.Hz[xx, yy, zz]))}
+    lims = {0: 0.1, 1: 0.01, 2: 1.0}
+    # vmin, vmax = -1., 1.
 
-    #FIT
-    for i, ax in enumerate(axs[0,:]):
-        #vmin, vmax = -np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
+    # FIT
+    for i, ax in enumerate(axs[0, :]):
+        # vmin, vmax = -np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
         vmin, vmax = -lims[i], lims[i]
-        im = ax.imshow(solverFIT.H[xx, yy, int(Nz//2-1), dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT H{dims[i]}{title}')
+        im = ax.imshow(
+            solverFIT.H[xx, yy, int(Nz // 2 - 1), dims[i]],
+            cmap="rainbow",
+            vmin=vmin,
+            vmax=vmax,
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT H{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    #FDTD
-    ax = axs[1,0]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hx[xx, yy, zz])), np.max(np.abs(solverFDTD.Hx[xx, yy, zz]))
+    # FDTD
+    ax = axs[1, 0]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hx[xx, yy, zz])), np.max(np.abs(solverFDTD.Hx[xx, yy, zz]))
     vmin, vmax = -lims[0], lims[0]
-    im = ax.imshow(solverFDTD.Hx[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hx{title}')
+    im = ax.imshow(solverFDTD.Hx[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hx{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,1]
+    ax = axs[1, 1]
     vmin, vmax = -lims[1], lims[1]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hy[xx, yy, zz])), np.max(np.abs(solverFDTD.Hy[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Hy[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hy{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hy[xx, yy, zz])), np.max(np.abs(solverFDTD.Hy[xx, yy, zz]))
+    im = ax.imshow(solverFDTD.Hy[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hy{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,2]
+    ax = axs[1, 2]
     vmin, vmax = -lims[2], lims[2]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hz[xx, yy, zz])), np.max(np.abs(solverFDTD.Hz[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Hz[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hz{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hz[xx, yy, zz])), np.max(np.abs(solverFDTD.Hz[xx, yy, zz]))
+    im = ax.imshow(solverFDTD.Hz[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hz{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    #Analytic
-    for i, ax in enumerate(axs[2,:]):
+    # Analytic
+    for i, ax in enumerate(axs[2, :]):
         vmin, vmax = -lims[i], lims[i]
-        im = ax.imshow(analytic.H[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'Analytic H{dims[i]}{title}')
+        im = ax.imshow(
+            analytic.H[xx, yy, zz, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"Analytic H{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    fig.suptitle(f'H Field, timestep={n}')
-    fig.savefig(f'{folder}H/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"H Field, timestep={n}")
+    fig.savefig(f"{folder}H/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
@@ -222,23 +299,25 @@ def plot_H_field(solverFIT, solverFDTD, analytic, n):
 # ---- Grid definitions ---------#
 
 conductors = noConductor()
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
-gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FDTD')
-solverFDTD = EMSolver3D(gridFDTD, 'FDTD')
+gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FDTD")
+solverFDTD = EMSolver3D(gridFDTD, "FDTD")
 del gridFDTD
 
-grid = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FIT')
+grid = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FIT")
 analytic = SolverFIT3D(grid, bc_low=bc_low, bc_high=bc_high)
 del grid
 
-gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx+1, Ny+1, Nz+1, conductors, 'FIT')
+gridFIT = Grid3D(
+    xmin, xmax, ymin, ymax, zmin, zmax, Nx + 1, Ny + 1, Nz + 1, conductors, "FIT"
+)
 solverFIT = SolverFIT3D(gridFIT, bc_low=bc_low, bc_high=bc_high)
 del gridFIT
 solverFIT.dt = solverFDTD.dt
 
-#---- Initial conditions ------------#
+# ---- Initial conditions ------------#
 
 for ii in range(Nx):
     for jj in range(Ny):
@@ -251,7 +330,7 @@ def plot_H_field(solverFIT, solverFDTD, analytic, n):
             x = (ii + 0.5) * dx + xmin
             y = (jj + 0.5) * dy + ymin
             z = (kk + 0.5) * dz + zmin
-            solverFIT.H[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, -0.5 * solverFIT.dt)
+            solverFIT.H[ii, jj, kk, "z"] = analytic_sol_Hz(x, y, z, -0.5 * solverFIT.dt)
 
             x = (ii + 0.5) * dx + xmin
             y = (jj + 0.5) * dy + ymin
@@ -261,9 +340,9 @@ def plot_H_field(solverFIT, solverFDTD, analytic, n):
             x = (ii + 0.5) * dx + xmin
             y = (jj + 0.5) * dy + ymin
             z = (kk + 0.5) * dz + zmin
-            solverFIT.H[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, -0.5 * solverFIT.dt)
+            solverFIT.H[ii, jj, kk, "y"] = analytic_sol_Hy(x, y, z, -0.5 * solverFIT.dt)
 
-            x = ii*dx + xmin
+            x = ii * dx + xmin
             y = (jj + 0.5) * dy + ymin
             z = (kk + 0.5) * dz + zmin
             solverFDTD.Hx[ii, jj, kk] = analytic_sol_Hx(x, y, z, -0.5 * solverFDTD.dt)
@@ -271,18 +350,17 @@ def plot_H_field(solverFIT, solverFDTD, analytic, n):
             x = (ii + 0.5) * dx + xmin
             y = (jj + 0.5) * dy + ymin
             z = (kk + 0.5) * dz + zmin
-            solverFIT.H[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, -0.5 * solverFIT.dt)
+            solverFIT.H[ii, jj, kk, "x"] = analytic_sol_Hx(x, y, z, -0.5 * solverFIT.dt)
 
-#----- Time loop -----#
+# ----- Time loop -----#
 
 Nt = 260
 for nt in tqdm(range(Nt)):
-
     solverFIT.one_step()
     solverFDTD.one_step()
 
-    #plot_E_field(solverFIT, solverFDTD, nt)
-    if nt%2 == 0:
+    # plot_E_field(solverFIT, solverFDTD, nt)
+    if nt % 2 == 0:
         plot_H_field(solverFIT, solverFDTD, analytic, nt)
 
-#convert -delay 5 -loop 0 *.png H_noeb.gif
\ No newline at end of file
+# convert -delay 5 -loop 0 *.png H_noeb.gif
diff --git a/examples/fit/script_noeb_resonator_fit.py b/examples/fit/script_noeb_resonator_fit.py
index 95453eb..2a3da1d 100644
--- a/examples/fit/script_noeb_resonator_fit.py
+++ b/examples/fit/script_noeb_resonator_fit.py
@@ -1,63 +1,97 @@
 import numpy as np
 from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-import matplotlib
+
 # matplotlib.use('Agg')
 from matplotlib import pyplot as plt
-from matplotlib import patches
-import os, sys
 from tqdm import tqdm
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 
-sys.path.append('../')
 
 from solverFIT3D import SolverFIT3D
 from solver3D import EMSolver3D
 from grid3D import Grid3D
-from conductors3d import noConductor, InCube, ConductorsAssembly
-from scipy.special import jv
-from field import Field 
+from conductors3d import noConductor
 
-#----- TE Funtions -----#
+# ----- TE Funtions -----#
 m = 1
 n = 1
 p = 1
-theta = 0 #np.pi/8
+theta = 0  # np.pi/8
 
 # Analytic solution of cubic resonator
 # Ref: http://faculty.pccu.edu.tw/~meng/new%20EM6.pdf pp.20/24
 
+
 def analytic_sol_Hz(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
 
-    return np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(n * np.pi / Ly * (y_0 - Ly/2)) * np.sin(
-        p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.sin(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hy(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (n * np.pi / Ly) * (p * np.pi / Lz) * np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.sin(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (n * np.pi / Ly)
+        * (p * np.pi / Lz)
+        * np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.sin(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hx(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (m * np.pi / Lx) * (p * np.pi / Lz) * np.sin(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (m * np.pi / Lx)
+        * (p * np.pi / Lz)
+        * np.sin(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
 
 
-#---- Domain definition ----#
+# ---- Domain definition ----#
 
 Z0 = np.sqrt(mu_0 / eps_0)
 
-L = 1. # Domain length
-N = 30 # Number of mesh cells
+L = 1.0  # Domain length
+N = 30  # Number of mesh cells
 
 Nx = N
 Ny = N
@@ -69,138 +103,181 @@ def analytic_sol_Hx(x, y, z, t):
 dy = L / Ny
 dz = L / Nz
 
-xmin = -Lx/2 + dx / 2
-xmax = Lx/2 + dx / 2
-ymin = - Ly/2 + dy / 2
-ymax = Ly/2 + dy / 2
-zmin = - Lz/2 + dz / 2
-zmax = Lz/2 + dz / 2
+xmin = -Lx / 2 + dx / 2
+xmax = Lx / 2 + dx / 2
+ymin = -Ly / 2 + dy / 2
+ymax = Ly / 2 + dy / 2
+zmin = -Lz / 2 + dz / 2
+zmax = Lz / 2 + dz / 2
 
-#---- Plotting functions ----#
-folder ='imgRes'
-plane = 'XY'
+# ---- Plotting functions ----#
+folder = "imgRes"
+plane = "XY"
 
-if plane == 'XY':
-    xx, yy, zz = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-    title = '(x,y,Nz/2)'
-    xax, yax = 'y', 'x'
+if plane == "XY":
+    xx, yy, zz = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+    title = "(x,y,Nz/2)"
+    xax, yax = "y", "x"
 
-if plane == 'YZ':
-    xx, yy, zz = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-    title = '(Nx/2,y,z)'
-    xax, yax = 'z', 'y'
+if plane == "YZ":
+    xx, yy, zz = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+    title = "(Nx/2,y,z)"
+    xax, yax = "z", "y"
 
-def plot_E_field(solverFIT, solverFDTD, n):
 
-    fig, axs = plt.subplots(2,3, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
-    vmin, vmax = -500., 500.
+def plot_E_field(solverFIT, solverFDTD, n):
+    fig, axs = plt.subplots(2, 3, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
+    vmin, vmax = -500.0, 500.0
 
-    #FIT
+    # FIT
     extent = (0, N, 0, N)
-    for i, ax in enumerate(axs[0,:]):
-        #vmin, vmax = -np.max(np.abs(solverFIT.E[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.E[xx, yy, zz, dims[i]]))
-        im = ax.imshow(solverFIT.E[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT E{dims[i]}{title}')
+    for i, ax in enumerate(axs[0, :]):
+        # vmin, vmax = -np.max(np.abs(solverFIT.E[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.E[xx, yy, zz, dims[i]]))
+        im = ax.imshow(
+            solverFIT.E[xx, yy, zz, dims[i]],
+            cmap="rainbow",
+            vmin=vmin,
+            vmax=vmax,
+            extent=extent,
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT E{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    #FDTD
-    ax = axs[1,0]
+    # FDTD
+    ax = axs[1, 0]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ex[xx, yy, zz])), np.max(np.abs(solverFDTD.Ex[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Ex[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ex{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ex[xx, yy, zz])), np.max(np.abs(solverFDTD.Ex[xx, yy, zz]))
+    im = ax.imshow(
+        solverFDTD.Ex[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ex{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,1]
+    ax = axs[1, 1]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ey[xx, yy, zz])), np.max(np.abs(solverFDTD.Ey[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Ey[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ey{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ey[xx, yy, zz])), np.max(np.abs(solverFDTD.Ey[xx, yy, zz]))
+    im = ax.imshow(
+        solverFDTD.Ey[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ey{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,2]
+    ax = axs[1, 2]
     extent = (0, N, 0, N)
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Ez[xx, yy, zz])), np.max(np.abs(solverFDTD.Ez[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Ez[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax, extent=extent)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Ez{title}')
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Ez[xx, yy, zz])), np.max(np.abs(solverFDTD.Ez[xx, yy, zz]))
+    im = ax.imshow(
+        solverFDTD.Ez[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax, extent=extent
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Ez{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
     fig.tight_layout(h_pad=0.3)
-    fig.suptitle(f'E field, timestep={n}')
-    fig.savefig(f'{folder}E/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"E field, timestep={n}")
+    fig.savefig(f"{folder}E/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
-def plot_H_field(solverFIT, solverFDTD, n):
 
-    fig, axs = plt.subplots(2,3, tight_layout=True, figsize=[8,6])
-    dims = {0:'x', 1:'y', 2:'z'}
-    vmin, vmax = -1., 1. 
-    #FIT
-    for i, ax in enumerate(axs[0,:]):
-        #vmin, vmax = -np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
-        im = ax.imshow(solverFIT.H[xx, yy, zz, dims[i]], cmap='rainbow', vmin=vmin, vmax=vmax)
-        fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT H{dims[i]}{title}')
+def plot_H_field(solverFIT, solverFDTD, n):
+    fig, axs = plt.subplots(2, 3, tight_layout=True, figsize=[8, 6])
+    dims = {0: "x", 1: "y", 2: "z"}
+    vmin, vmax = -1.0, 1.0
+    # FIT
+    for i, ax in enumerate(axs[0, :]):
+        # vmin, vmax = -np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
+        im = ax.imshow(
+            solverFIT.H[xx, yy, zz, dims[i]], cmap="rainbow", vmin=vmin, vmax=vmax
+        )
+        fig.colorbar(
+            im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+        )
+        ax.set_title(f"FIT H{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
-    #FDTD
-    ax = axs[1,0]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hx[xx, yy, zz])), np.max(np.abs(solverFDTD.Hx[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Hx[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hx{title}')
+    # FDTD
+    ax = axs[1, 0]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hx[xx, yy, zz])), np.max(np.abs(solverFDTD.Hx[xx, yy, zz]))
+    im = ax.imshow(solverFDTD.Hx[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hx{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,1]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hy[xx, yy, zz])), np.max(np.abs(solverFDTD.Hy[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Hy[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hy{title}')
+    ax = axs[1, 1]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hy[xx, yy, zz])), np.max(np.abs(solverFDTD.Hy[xx, yy, zz]))
+    im = ax.imshow(solverFDTD.Hy[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hy{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    ax = axs[1,2]
-    #vmin, vmax = -np.max(np.abs(solverFDTD.Hz[xx, yy, zz])), np.max(np.abs(solverFDTD.Hz[xx, yy, zz]))
-    im = ax.imshow(solverFDTD.Hz[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FDTD Hz{title}')
+    ax = axs[1, 2]
+    # vmin, vmax = -np.max(np.abs(solverFDTD.Hz[xx, yy, zz])), np.max(np.abs(solverFDTD.Hz[xx, yy, zz]))
+    im = ax.imshow(solverFDTD.Hz[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FDTD Hz{title}")
     ax.set_xlabel(xax)
     ax.set_ylabel(yax)
 
-    fig.suptitle(f'H field, timestep={n}')
-    fig.savefig(f'{folder}H/'+str(n).zfill(4)+'.png')
+    fig.suptitle(f"H field, timestep={n}")
+    fig.savefig(f"{folder}H/" + str(n).zfill(4) + ".png")
     plt.clf()
     plt.close(fig)
 
+
 # ---- Solver definitions ---------#
 
 conductors = noConductor()
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
-
-NCFL=1.0
-
-gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FIT')
-tgridFIT = Grid3D(xmin + dx/2, xmax + dx/2, ymin + dy/2, ymax + dy/2, zmin + dz/2, zmax + dz/2, Nx, Ny, Nz, conductors, 'FIT')
-#solverFIT = SolverFIT3D(gridFIT, bc_low=bc_low, bc_high=bc_high)
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
+
+NCFL = 1.0
+
+gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FIT")
+tgridFIT = Grid3D(
+    xmin + dx / 2,
+    xmax + dx / 2,
+    ymin + dy / 2,
+    ymax + dy / 2,
+    zmin + dz / 2,
+    zmax + dz / 2,
+    Nx,
+    Ny,
+    Nz,
+    conductors,
+    "FIT",
+)
+# solverFIT = SolverFIT3D(gridFIT, bc_low=bc_low, bc_high=bc_high)
 solverFIT = SolverFIT3D(gridFIT, tgridFIT, bc_low=bc_low, bc_high=bc_high)
 
-gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FDTD')
-solverFDTD = EMSolver3D(gridFDTD, 'FDTD', NCFL)
+gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FDTD")
+solverFDTD = EMSolver3D(gridFDTD, "FDTD", NCFL)
 
-#---- Initial conditions ------------#
+# ---- Initial conditions ------------#
 
 for ii in range(Nx):
     for jj in range(Ny):
@@ -213,7 +290,7 @@ def plot_H_field(solverFIT, solverFDTD, n):
             x = ii * dx + xmin
             y = jj * dy + ymin
             z = kk * dz + zmin
-            solverFIT.H[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, -0.5 * solverFIT.dt)
+            solverFIT.H[ii, jj, kk, "z"] = analytic_sol_Hz(x, y, z, -0.5 * solverFIT.dt)
 
             x = (ii + 0.5) * dx + xmin
             y = jj * dy + ymin
@@ -223,185 +300,208 @@ def plot_H_field(solverFIT, solverFDTD, n):
             x = ii * dx + xmin
             y = jj * dy + ymin
             z = kk * dz + zmin
-            solverFIT.H[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, -0.5 * solverFIT.dt)
+            solverFIT.H[ii, jj, kk, "y"] = analytic_sol_Hy(x, y, z, -0.5 * solverFIT.dt)
 
-            x = ii*dx + xmin
-            y = (jj + 0.5)*dy + ymin
-            z = (kk + 0.5)*dz + zmin
+            x = ii * dx + xmin
+            y = (jj + 0.5) * dy + ymin
+            z = (kk + 0.5) * dz + zmin
             solverFDTD.Hx[ii, jj, kk] = analytic_sol_Hx(x, y, z, -0.5 * solverFDTD.dt)
 
             x = ii * dx + xmin
             y = jj * dy + ymin
             z = kk * dz + zmin
-            solverFIT.H[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, -0.5 * solverFIT.dt)
+            solverFIT.H[ii, jj, kk, "x"] = analytic_sol_Hx(x, y, z, -0.5 * solverFIT.dt)
 
-#----- Time loop -----#
+# ----- Time loop -----#
 
 Nt = 50
 for nt in tqdm(range(Nt)):
-
     solverFIT.one_step()
     solverFDTD.one_step()
 
     plot_E_field(solverFIT, solverFDTD, nt)
     plot_H_field(solverFIT, solverFDTD, nt)
 
-#----- Compare -----#
+# ----- Compare -----#
 
-analytic = EMSolver3D(gridFDTD, 'FDTD', NCFL)
+analytic = EMSolver3D(gridFDTD, "FDTD", NCFL)
 
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
-
             x = (ii + 0.5) * dx + xmin
             y = (jj + 0.5) * dy + ymin
             z = kk * dz + zmin
-            analytic.Hz[ii, jj, kk] = analytic_sol_Hz(x, y, z, (Nt-0.5) * analytic.dt)
+            analytic.Hz[ii, jj, kk] = analytic_sol_Hz(x, y, z, (Nt - 0.5) * analytic.dt)
 
-            x = (ii + 0.5) * dx + xmin 
+            x = (ii + 0.5) * dx + xmin
             y = jj * dy + ymin
             z = (kk + 0.5) * dz + zmin
-            analytic.Hy[ii, jj, kk] = analytic_sol_Hy(x, y, z, (Nt-0.5) * analytic.dt)
+            analytic.Hy[ii, jj, kk] = analytic_sol_Hy(x, y, z, (Nt - 0.5) * analytic.dt)
 
-            x = ii*dx + xmin
-            y = (jj + 0.5)*dy + ymin
-            z = (kk + 0.5)*dz + zmin
-            analytic.Hx[ii, jj, kk] = analytic_sol_Hx(x, y, z, (Nt-0.5) * analytic.dt)
+            x = ii * dx + xmin
+            y = (jj + 0.5) * dy + ymin
+            z = (kk + 0.5) * dz + zmin
+            analytic.Hx[ii, jj, kk] = analytic_sol_Hx(x, y, z, (Nt - 0.5) * analytic.dt)
 
 # Plot fields
-plane = 'XY'
-if plane == 'XY':
-    xx, yy, zz = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-    title = '(x,y,Nz/2)'
-    xax, yax = 'y', 'x'
-
-fig, axs = plt.subplots(3,3, tight_layout=True, figsize=[8,6])
-dims = {0:'x', 1:'y', 2:'z'}
-lims = {0: np.max(np.abs(analytic.Hx[xx, yy, zz])), 1: np.max(np.abs(analytic.Hy[xx, yy, zz])), 2: np.max(np.abs(analytic.Hz[xx, yy, zz]))}
-#FIT
-for i, ax in enumerate(axs[0,:]):
-    #vmin, vmax = -np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
+plane = "XY"
+if plane == "XY":
+    xx, yy, zz = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+    title = "(x,y,Nz/2)"
+    xax, yax = "y", "x"
+
+fig, axs = plt.subplots(3, 3, tight_layout=True, figsize=[8, 6])
+dims = {0: "x", 1: "y", 2: "z"}
+lims = {
+    0: np.max(np.abs(analytic.Hx[xx, yy, zz])),
+    1: np.max(np.abs(analytic.Hy[xx, yy, zz])),
+    2: np.max(np.abs(analytic.Hz[xx, yy, zz])),
+}
+# FIT
+for i, ax in enumerate(axs[0, :]):
+    # vmin, vmax = -np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
     vmin, vmax = -lims[i], lims[i]
-    im = ax.imshow(solverFIT.H[xx, yy, zz, dims[i]], cmap='rainbow', vmin=-lims[i], vmax=lims[i])
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FIT H{dims[i]}{title}')
+    im = ax.imshow(
+        solverFIT.H[xx, yy, zz, dims[i]], cmap="rainbow", vmin=-lims[i], vmax=lims[i]
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FIT H{dims[i]}{title}")
 
 
-#FDTD
-ax = axs[1,0]
+# FDTD
+ax = axs[1, 0]
 vmin, vmax = -lims[0], lims[0]
-im = ax.imshow(solverFDTD.Hx[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hx{title}')
+im = ax.imshow(solverFDTD.Hx[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"FDTD Hx{title}")
 
-ax = axs[1,1]
+ax = axs[1, 1]
 vmin, vmax = -lims[1], lims[1]
-im = ax.imshow(solverFDTD.Hy[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hy{title}')
+im = ax.imshow(solverFDTD.Hy[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"FDTD Hy{title}")
 
-ax = axs[1,2]
+ax = axs[1, 2]
 vmin, vmax = -lims[2], lims[2]
-im = ax.imshow(solverFDTD.Hz[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hz{title}')
+im = ax.imshow(solverFDTD.Hz[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"FDTD Hz{title}")
 ax.set_xlabel(xax)
 ax.set_ylabel(yax)
 
-#Analytic
-ax = axs[2,0]
-vmin, vmax = -np.max(np.abs(analytic.Hx[xx, yy, zz])), np.max(np.abs(analytic.Hx[xx, yy, zz]))
-im = ax.imshow(analytic.Hx[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hx{title}')
+# Analytic
+ax = axs[2, 0]
+vmin, vmax = (
+    -np.max(np.abs(analytic.Hx[xx, yy, zz])),
+    np.max(np.abs(analytic.Hx[xx, yy, zz])),
+)
+im = ax.imshow(analytic.Hx[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"Analytic Hx{title}")
 ax.set_xlabel(xax)
 ax.set_ylabel(yax)
 
-ax = axs[2,1]
-vmin, vmax = -np.max(np.abs(analytic.Hy[xx, yy, zz])), np.max(np.abs(analytic.Hy[xx, yy, zz]))
-im = ax.imshow(analytic.Hy[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hy{title}')
+ax = axs[2, 1]
+vmin, vmax = (
+    -np.max(np.abs(analytic.Hy[xx, yy, zz])),
+    np.max(np.abs(analytic.Hy[xx, yy, zz])),
+)
+im = ax.imshow(analytic.Hy[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"Analytic Hy{title}")
 ax.set_xlabel(xax)
 ax.set_ylabel(yax)
 
-ax = axs[2,2]
-vmin, vmax = -np.max(np.abs(analytic.Hz[xx, yy, zz])), np.max(np.abs(analytic.Hz[xx, yy, zz]))
-im = ax.imshow(analytic.Hz[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hz{title}')
+ax = axs[2, 2]
+vmin, vmax = (
+    -np.max(np.abs(analytic.Hz[xx, yy, zz])),
+    np.max(np.abs(analytic.Hz[xx, yy, zz])),
+)
+im = ax.imshow(analytic.Hz[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"Analytic Hz{title}")
 ax.set_xlabel(xax)
 ax.set_ylabel(yax)
 
-fig.suptitle(f'H field, timestep={Nt}')
-fig.savefig(f'imgResH/analytic{plane}_TE{m}{n}{p}.png')
+fig.suptitle(f"H field, timestep={Nt}")
+fig.savefig(f"imgResH/analytic{plane}_TE{m}{n}{p}.png")
 plt.clf()
 plt.close(fig)
 
-plane = 'YZ'
-if plane == 'YZ':
-    xx, yy, zz = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-    title = '(Nx/2,y,z)'
-    xax, yax = 'z', 'y'
-
-fig, axs = plt.subplots(3,3, tight_layout=True, figsize=[8,6])
-dims = {0:'x', 1:'y', 2:'z'}
-lims = {0: np.max(np.abs(analytic.Hx[xx, yy, zz])), 1: np.max(np.abs(analytic.Hy[xx, yy, zz])), 2: np.max(np.abs(analytic.Hz[xx, yy, zz]))}
-#FIT
-for i, ax in enumerate(axs[0,:]):
-    #vmin, vmax = -np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
-    im = ax.imshow(solverFIT.H[xx, yy, zz, dims[i]], cmap='rainbow', vmin=-lims[i], vmax=lims[i])
-    fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-    ax.set_title(f'FIT H{dims[i]}{title}')
-
-#FDTD
-ax = axs[1,0]
+plane = "YZ"
+if plane == "YZ":
+    xx, yy, zz = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+    title = "(Nx/2,y,z)"
+    xax, yax = "z", "y"
+
+fig, axs = plt.subplots(3, 3, tight_layout=True, figsize=[8, 6])
+dims = {0: "x", 1: "y", 2: "z"}
+lims = {
+    0: np.max(np.abs(analytic.Hx[xx, yy, zz])),
+    1: np.max(np.abs(analytic.Hy[xx, yy, zz])),
+    2: np.max(np.abs(analytic.Hz[xx, yy, zz])),
+}
+# FIT
+for i, ax in enumerate(axs[0, :]):
+    # vmin, vmax = -np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]])), np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
+    im = ax.imshow(
+        solverFIT.H[xx, yy, zz, dims[i]], cmap="rainbow", vmin=-lims[i], vmax=lims[i]
+    )
+    fig.colorbar(
+        im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05)
+    )
+    ax.set_title(f"FIT H{dims[i]}{title}")
+
+# FDTD
+ax = axs[1, 0]
 vmin, vmax = -lims[0], lims[0]
-im = ax.imshow(solverFDTD.Hx[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hx{title}')
+im = ax.imshow(solverFDTD.Hx[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"FDTD Hx{title}")
 
-ax = axs[1,1]
+ax = axs[1, 1]
 vmin, vmax = -lims[1], lims[1]
-im = ax.imshow(solverFDTD.Hy[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hy{title}')
+im = ax.imshow(solverFDTD.Hy[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"FDTD Hy{title}")
 
-ax = axs[1,2]
+ax = axs[1, 2]
 vmin, vmax = -lims[2], lims[2]
-im = ax.imshow(solverFDTD.Hz[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'FDTD Hz{title}')
+im = ax.imshow(solverFDTD.Hz[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"FDTD Hz{title}")
 ax.set_xlabel(xax)
 ax.set_ylabel(yax)
 
-#Analytic
-ax = axs[2,0]
+# Analytic
+ax = axs[2, 0]
 vmin, vmax = -lims[0], lims[0]
-im = ax.imshow(analytic.Hx[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hx{title}')
+im = ax.imshow(analytic.Hx[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"Analytic Hx{title}")
 ax.set_xlabel(xax)
 ax.set_ylabel(yax)
 
-ax = axs[2,1]
+ax = axs[2, 1]
 vmin, vmax = -lims[1], lims[1]
-im = ax.imshow(analytic.Hy[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hy{title}')
+im = ax.imshow(analytic.Hy[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"Analytic Hy{title}")
 ax.set_xlabel(xax)
 ax.set_ylabel(yax)
 
-ax = axs[2,2]
+ax = axs[2, 2]
 vmin, vmax = -lims[2], lims[2]
-im = ax.imshow(analytic.Hz[xx, yy, zz], cmap='rainbow', vmin=vmin, vmax=vmax)
-fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-ax.set_title(f'Analytic Hz{title}')
+im = ax.imshow(analytic.Hz[xx, yy, zz], cmap="rainbow", vmin=vmin, vmax=vmax)
+fig.colorbar(im, cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05))
+ax.set_title(f"Analytic Hz{title}")
 ax.set_xlabel(xax)
 ax.set_ylabel(yax)
 
-fig.suptitle(f'H field, timestep={Nt}')
-fig.savefig(f'imgResH/analytic{plane}_TE{m}{n}{p}.png')
+fig.suptitle(f"H field, timestep={Nt}")
+fig.savefig(f"imgResH/analytic{plane}_TE{m}{n}{p}.png")
 plt.clf()
-plt.close(fig)
\ No newline at end of file
+plt.close(fig)
diff --git a/examples/fit/script_noeb_resonator_fit_diff.py b/examples/fit/script_noeb_resonator_fit_diff.py
index 6da858c..750ae1b 100644
--- a/examples/fit/script_noeb_resonator_fit_diff.py
+++ b/examples/fit/script_noeb_resonator_fit_diff.py
@@ -1,63 +1,97 @@
 import numpy as np
 from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-import matplotlib
+
 # matplotlib.use('Agg')
 from matplotlib import pyplot as plt
-from matplotlib import patches
-import os, sys
 from tqdm import tqdm
 from mpl_toolkits.axes_grid1 import make_axes_locatable
 
-sys.path.append('../')
 
 from solverFIT3D import SolverFIT3D
-from solver3D import EMSolver3D
 from grid3D import Grid3D
-from conductors3d import noConductor, InCube, ConductorsAssembly
-from scipy.special import jv
-from field import Field 
+from conductors3d import noConductor
+from field import Field
 
-#----- TE Funtions -----#
+# ----- TE Funtions -----#
 m = 1
 n = 1
 p = 1
-theta = 0 #np.pi/8
+theta = 0  # np.pi/8
 
 # Analytic solution of cubic resonator
 # Ref: http://faculty.pccu.edu.tw/~meng/new%20EM6.pdf pp.20/24
 
+
 def analytic_sol_Hz(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
 
-    return np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(n * np.pi / Ly * (y_0 - Ly/2)) * np.sin(
-        p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.sin(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hy(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (n * np.pi / Ly) * (p * np.pi / Lz) * np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.sin(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (n * np.pi / Ly)
+        * (p * np.pi / Lz)
+        * np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.sin(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
+
 
 def analytic_sol_Hx(x, y, z, t):
-    Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+    Rm = np.array(
+        [
+            [np.cos(-theta), -np.sin(-theta), 0],
+            [np.sin(-theta), np.cos(-theta), 0],
+            [0, 0, 1],
+        ]
+    )
     [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
     h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-    return -2 / h_2 * (m * np.pi / Lx) * (p * np.pi / Lz) * np.sin(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(
-        n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-        np.sqrt(2) * np.pi / Lx * c_light * t)
+    return (
+        -2
+        / h_2
+        * (m * np.pi / Lx)
+        * (p * np.pi / Lz)
+        * np.sin(m * np.pi / Lx * (x_0 - Lx / 2))
+        * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+        * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+        * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+    )
 
 
-#---- Domain definition ----#
+# ---- Domain definition ----#
 
 Z0 = np.sqrt(mu_0 / eps_0)
 
-L = 1. # Domain length
-N = 50 # Number of mesh cells
+L = 1.0  # Domain length
+N = 50  # Number of mesh cells
 
 Nx = N
 Ny = N
@@ -69,55 +103,60 @@ def analytic_sol_Hx(x, y, z, t):
 dy = L / Ny
 dz = L / Nz
 
-xmin = -Lx/2 #+ dx / 2
-xmax = Lx/2 #+ dx / 2
-ymin = - Ly/2 #+ dy / 2
-ymax = Ly/2 #+ dy / 2
-zmin = - Lz/2 #+ dz / 2
-zmax = Lz/2 #+ dz / 2
+xmin = -Lx / 2  # + dx / 2
+xmax = Lx / 2  # + dx / 2
+ymin = -Ly / 2  # + dy / 2
+ymax = Ly / 2  # + dy / 2
+zmin = -Lz / 2  # + dz / 2
+zmax = Lz / 2  # + dz / 2
 
 # ---- Solver definitions ---------#
 
 conductors = noConductor()
-bc_low=['pec', 'pec', 'pec']
-bc_high=['pec', 'pec', 'pec']
+bc_low = ["pec", "pec", "pec"]
+bc_high = ["pec", "pec", "pec"]
 
-NCFL=1.0
+NCFL = 1.0
 
-gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FIT')
+gridFIT = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, "FIT")
 solverFIT = SolverFIT3D(gridFIT, bc_low=bc_low, bc_high=bc_high)
 
 
-#---- Initial conditions ------------#
+# ---- Initial conditions ------------#
 
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
+            x = (ii + 0.5) * dx + xmin
+            y = (jj + 0.5) * dy + ymin
+            z = (kk + 0.5) * dz + zmin
+            solverFIT.H[ii, jj, kk, "z"] = analytic_sol_Hz(
+                x, y, z, (-0.5) * solverFIT.dt
+            )
 
-            x = (ii+0.5) * dx + xmin
-            y = (jj+0.5) * dy + ymin
-            z = (kk+0.5) * dz + zmin
-            solverFIT.H[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, (-0.5) * solverFIT.dt)
-
-            x = (ii+0.5) * dx + xmin
-            y = (jj+0.5) * dy + ymin
-            z = (kk+0.5) * dz + zmin
-            solverFIT.H[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, (-0.5) * solverFIT.dt)
+            x = (ii + 0.5) * dx + xmin
+            y = (jj + 0.5) * dy + ymin
+            z = (kk + 0.5) * dz + zmin
+            solverFIT.H[ii, jj, kk, "y"] = analytic_sol_Hy(
+                x, y, z, (-0.5) * solverFIT.dt
+            )
 
-            x = (ii+0.5) * dx + xmin
-            y = (jj+0.5) * dy + ymin
-            z = (kk+0.5) * dz + zmin
-            solverFIT.H[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, (-0.5) * solverFIT.dt)
+            x = (ii + 0.5) * dx + xmin
+            y = (jj + 0.5) * dy + ymin
+            z = (kk + 0.5) * dz + zmin
+            solverFIT.H[ii, jj, kk, "x"] = analytic_sol_Hx(
+                x, y, z, (-0.5) * solverFIT.dt
+            )
 
-#----- Time loop -----#
+# ----- Time loop -----#
 
 Nt = 30
 for nt in tqdm(range(Nt)):
     solverFIT.one_step()
 
-#----- Compare -----#
+# ----- Compare -----#
 
-''' # Equivalent to using FDTD
+""" # Equivalent to using FDTD
 analyticHx = np.zeros((Nx, Ny, Nz))
 analyticHy = np.zeros((Nx, Ny, Nz))
 analyticHz = np.zeros((Nx, Ny, Nz))
@@ -140,31 +179,36 @@ def analytic_sol_Hx(x, y, z, t):
             y = (jj+0.5) * dy + ymin
             z = (kk+0.5) * dz + zmin
             analyticHx[ii, jj, kk] = analytic_sol_Hx(x, y, z, (Nt-0.5) * solverFIT.dt)
-'''
+"""
 
- # Equivalent to using FDTD
+# Equivalent to using FDTD
 analyticH = Field(Nx, Ny, Nz)
 
 for ii in range(Nx):
     for jj in range(Ny):
         for kk in range(Nz):
+            x = (ii + 0.5) * dx + xmin
+            y = (jj + 0.5) * dy + ymin
+            z = (kk + 0.5) * dz + zmin
+            analyticH[ii, jj, kk, "z"] = analytic_sol_Hz(
+                x, y, z, (Nt - 0.5) * solverFIT.dt
+            )
 
-            x = (ii+0.5) * dx + xmin
-            y = (jj+0.5) * dy + ymin
-            z = (kk+0.5) * dz + zmin
-            analyticH[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, (Nt-0.5) * solverFIT.dt)
-
-            x = (ii+0.5) * dx + xmin
-            y = (jj+0.5) * dy + ymin
-            z = (kk+0.5) * dz + zmin
-            analyticH[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, (Nt-0.5) * solverFIT.dt)
+            x = (ii + 0.5) * dx + xmin
+            y = (jj + 0.5) * dy + ymin
+            z = (kk + 0.5) * dz + zmin
+            analyticH[ii, jj, kk, "y"] = analytic_sol_Hy(
+                x, y, z, (Nt - 0.5) * solverFIT.dt
+            )
 
-            x = (ii+0.5) * dx + xmin
-            y = (jj+0.5) * dy + ymin
-            z = (kk+0.5) * dz + zmin
-            analyticH[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, (Nt-0.5) * solverFIT.dt)
+            x = (ii + 0.5) * dx + xmin
+            y = (jj + 0.5) * dy + ymin
+            z = (kk + 0.5) * dz + zmin
+            analyticH[ii, jj, kk, "x"] = analytic_sol_Hx(
+                x, y, z, (Nt - 0.5) * solverFIT.dt
+            )
 
-'''
+"""
 gridFDTD = Grid3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, conductors, 'FDTD')
 analytic = EMSolver3D(gridFDTD, 'FDTD', NCFL)
 
@@ -186,52 +230,57 @@ def analytic_sol_Hx(x, y, z, t):
             y = (jj + 0.5)*dy + ymin
             z = (kk + 0.5)*dz + zmin
             analytic.Hx[ii, jj, kk] = analytic_sol_Hx(x, y, z, (Nt-0.5) * analytic.dt)
-'''
+"""
 
 # Plot fields
-planes = ['XY', 'YZ', 'XZ']
+planes = ["XY", "YZ", "XZ"]
 
-fig, axs = plt.subplots(3,3, dpi=100, figsize=[8,6])
-dims = {0:'x', 1:'y', 2:'z'}
+fig, axs = plt.subplots(3, 3, dpi=100, figsize=[8, 6])
+dims = {0: "x", 1: "y", 2: "z"}
 
 for j, plane in enumerate(planes):
-    if plane == 'YZ':
-        xx, yy, zz = int(Nx//2), slice(0,Ny), slice(0,Nz) #plane YZ
-        title = '(Nx/2,y,z)'
-        xax, yax = 'z', 'y'
+    if plane == "YZ":
+        xx, yy, zz = int(Nx // 2), slice(0, Ny), slice(0, Nz)  # plane YZ
+        title = "(Nx/2,y,z)"
+        xax, yax = "z", "y"
         extent = (0, Nz, 0, Ny)
 
-    if plane == 'XY':
-        xx, yy, zz = slice(0,Nx), slice(0,Ny), int(Nz//2) #plane XY
-        title = '(x,y,Nz/2)'
-        xax, yax = 'y', 'x'
+    if plane == "XY":
+        xx, yy, zz = slice(0, Nx), slice(0, Ny), int(Nz // 2)  # plane XY
+        title = "(x,y,Nz/2)"
+        xax, yax = "y", "x"
         extent = (0, Ny, 0, Nx)
 
-    if plane == 'XZ':
-        xx, yy, zz = slice(0,Nx), int(Ny//2), slice(0,Nz)  #plane ZX
-        title = '(x,Ny/2,z)'
-        xax, yax = 'z', 'x'
+    if plane == "XZ":
+        xx, yy, zz = slice(0, Nx), int(Ny // 2), slice(0, Nz)  # plane ZX
+        title = "(x,Ny/2,z)"
+        xax, yax = "z", "x"
         extent = (0, Nz, 0, Nx)
 
-    for i, ax in enumerate(axs[j,:]):
-
-        field2plot = (solverFIT.H[xx, yy, zz, dims[i]] - analyticH[xx, yy, zz, dims[i]])/np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
-
-        im = ax.imshow(field2plot, cmap='bwr', vmin=-1., vmax=1., extent=extent)
-        fig.colorbar(im, label=r'$\varepsilon_{rel}$', cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-        ax.set_title(f'FIT H{dims[i]}{title}')
+    for i, ax in enumerate(axs[j, :]):
+        field2plot = (
+            solverFIT.H[xx, yy, zz, dims[i]] - analyticH[xx, yy, zz, dims[i]]
+        ) / np.max(np.abs(solverFIT.H[xx, yy, zz, dims[i]]))
+
+        im = ax.imshow(field2plot, cmap="bwr", vmin=-1.0, vmax=1.0, extent=extent)
+        fig.colorbar(
+            im,
+            label=r"$\varepsilon_{rel}$",
+            cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05),
+        )
+        ax.set_title(f"FIT H{dims[i]}{title}")
         ax.set_xlabel(xax)
         ax.set_ylabel(yax)
 
 fig.tight_layout(pad=0.05, rect=[0, 0, 1, 0.92])
-fig.suptitle(f'H field, timestep={Nt}')
-fig.savefig(f'imgResH/diff_TE{m}{n}{p}.png')
+fig.suptitle(f"H field, timestep={Nt}")
+fig.savefig(f"imgResH/diff_TE{m}{n}{p}.png")
 plt.show()
 
-#solverFIT.H.inspect3D(cmap='rainbow', show=False, xmax=Nx-1, ymax=Ny-1, zmax=Nz-1)
-#analyticH.inspect3D(cmap='rainbow')
+# solverFIT.H.inspect3D(cmap='rainbow', show=False, xmax=Nx-1, ymax=Ny-1, zmax=Nz-1)
+# analyticH.inspect3D(cmap='rainbow')
 
-'''
+"""
 plt.imshow((solverFIT.C).toarray(), cmap='bwr')
 plt.title('C matrix')
 plt.show()
@@ -247,4 +296,4 @@ def analytic_sol_Hx(x, y, z, t):
 plt.imshow((solverFIT.C*solverFIT.iMmu).toarray(), cmap='bwr')
 plt.title('C * iMmu matrix')
 plt.show()
-'''
+"""
diff --git a/examples/fit/script_planewave_fit.py b/examples/fit/script_planewave_fit.py
index 11e3093..a30f867 100644
--- a/examples/fit/script_planewave_fit.py
+++ b/examples/fit/script_planewave_fit.py
@@ -1,16 +1,11 @@
 import numpy as np
-import matplotlib.pyplot as plt
-import os, sys
 import pyvista as pv
 from tqdm import tqdm
-from mpl_toolkits.axes_grid1 import make_axes_locatable
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import c as c_light, mu_0 as mu_0
 
-sys.path.append('../')
 
 from solverFIT3D import SolverFIT3D
-from gridFIT3D import GridFIT3D 
-from field import Field 
+from gridFIT3D import GridFIT3D
 
 
 # ---------- Domain setup ---------
@@ -20,11 +15,11 @@
 Nz = 160
 
 # Embedded boundaries
-stl_file = 'stl/sphere.stl' 
+stl_file = "stl/sphere.stl"
 surf = pv.read(stl_file)
 
-stl_solids = {'Solid 1': stl_file}
-stl_materials = {'Solid 1': 'pec'}
+stl_solids = {"Solid 1": stl_file}
+stl_materials = {"Solid 1": "pec"}
 stl_rotate = [0, 0, 0]
 stl_scale = 1e-3
 
@@ -32,74 +27,106 @@
 surf = surf.rotate_y(stl_rotate[1])
 surf = surf.rotate_z(stl_rotate[2])
 surf = surf.scale(stl_scale)
-#surf.plot()
+# surf.plot()
 
 # Domain bounds
 xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds
-padx, pady, padz = (xmax-xmin)*0.2, (ymax-ymin)*0.2, (zmax-zmin)*1.0
+padx, pady, padz = (xmax - xmin) * 0.2, (ymax - ymin) * 0.2, (zmax - zmin) * 1.0
 
-xmin, ymin, zmin = (xmin-padx), (ymin-pady), (zmin-padz)
-xmax, ymax, zmax = (xmax+padx), (ymax+pady), (zmax+padz)
+xmin, ymin, zmin = (xmin - padx), (ymin - pady), (zmin - padz)
+xmax, ymax, zmax = (xmax + padx), (ymax + pady), (zmax + padz)
 
-Lx, Ly, Lz = (xmax-xmin), (ymax-ymin), (zmax-zmin)
+Lx, Ly, Lz = (xmax - xmin), (ymax - ymin), (zmax - zmin)
 
 # boundary conditions
-bc_low=['periodic', 'periodic', 'pec']
-bc_high=['periodic', 'periodic', 'pec']
+bc_low = ["periodic", "periodic", "pec"]
+bc_high = ["periodic", "periodic", "pec"]
 
 # set FIT solver
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, 
-                stl_solids=stl_solids, 
-                stl_rotate=stl_rotate,
-                stl_scale=stl_scale,
-                stl_materials=stl_materials)
-
-solver = SolverFIT3D(grid, 
-                     bc_low=bc_low, bc_high=bc_high, 
-                     use_stl=False)
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_rotate=stl_rotate,
+    stl_scale=stl_scale,
+    stl_materials=stl_materials,
+)
+
+solver = SolverFIT3D(grid, bc_low=bc_low, bc_high=bc_high, use_stl=False)
 
 # ------------ Time loop ----------------
 
+
 # Initial conditions
 def plane_wave(solver, t, nodes=15, f=None, beta=1.0):
-
     if f is None:
-        T = (solver.z.max()-solver.z.min())/c_light
-        f = nodes/T       
+        T = (solver.z.max() - solver.z.min()) / c_light
+        f = nodes / T
 
-    vp = beta*c_light       # wavefront velocity beta*c
-    w = 2*np.pi*f           # ang. frequency  
-    kz = w/c_light          # wave number 
+    vp = beta * c_light  # wavefront velocity beta*c
+    w = 2 * np.pi * f  # ang. frequency
+    kz = w / c_light  # wave number
 
-    solver.H[:,:,0,'y'] = -1.0 * np.cos(w*t) 
-    solver.E[:,:,0,'x'] = 1.0 * np.cos(w*t) /(kz/(mu_0*vp)) 
+    solver.H[:, :, 0, "y"] = -1.0 * np.cos(w * t)
+    solver.E[:, :, 0, "x"] = 1.0 * np.cos(w * t) / (kz / (mu_0 * vp))
 
 
-#Nt = 300
-Nt = int((zmax-zmin)/(solver.dt*c_light))+300
+# Nt = 300
+Nt = int((zmax - zmin) / (solver.dt * c_light)) + 300
 plot2D = True
-plot1D = False 
+plot1D = False
 for n in tqdm(range(Nt)):
-
     # Initial condition
-    if n < int((zmax-zmin)/(solver.dt*c_light)):
-        plane_wave(solver, n*solver.dt, nodes=15)
+    if n < int((zmax - zmin) / (solver.dt * c_light)):
+        plane_wave(solver, n * solver.dt, nodes=15)
 
     # Advance
     solver.one_step()
 
     # Plot
-    if plot2D and n%10 == 0:
-        solver.plot2D(field='H', component='y', plane='ZX', pos=0.5, norm=None, 
-               vmin=-1, vmax=1, figsize=[8,4], cmap='rainbow', patch_alpha=0.1,
-               add_patch=None, title='imgPwH/Hy', off_screen=True, n=n, interpolation='spline36')
-    if plot1D and n%15 == 0:
-        solver.plot1D(field='E', component='x', line='z', pos=0.5,
-               xscale='linear', yscale='linear', xlim=None, ylim=(-2.0*500,2.0*500), 
-               figsize=[8,4], title='imgPwH/Ex1d', off_screen=True, n=n)
-    
+    if plot2D and n % 10 == 0:
+        solver.plot2D(
+            field="H",
+            component="y",
+            plane="ZX",
+            pos=0.5,
+            norm=None,
+            vmin=-1,
+            vmax=1,
+            figsize=[8, 4],
+            cmap="rainbow",
+            patch_alpha=0.1,
+            add_patch=None,
+            title="imgPwH/Hy",
+            off_screen=True,
+            n=n,
+            interpolation="spline36",
+        )
+    if plot1D and n % 15 == 0:
+        solver.plot1D(
+            field="E",
+            component="x",
+            line="z",
+            pos=0.5,
+            xscale="linear",
+            yscale="linear",
+            xlim=None,
+            ylim=(-2.0 * 500, 2.0 * 500),
+            figsize=[8, 4],
+            title="imgPwH/Ex1d",
+            off_screen=True,
+            n=n,
+        )
+
 # Plot 3D built-in
-'''
+"""
 solver.plot3D(field='H', component='z', clim=None,  hide_solids=None, show_solids=None, 
                add_stl=None, stl_opacity=0.1, stl_colors='white',
                title=None, cmap='rainbow', clip_volume=False, clip_normal='-y',
@@ -108,4 +135,4 @@ def plane_wave(solver, t, nodes=15, f=None, beta=1.0):
 solver.plot2D(field='E', component='x', plane='ZY', pos=0.5, norm=None, 
                vmin=None, vmax=None, figsize=[8,4], cmap='jet', patch_alpha=0.1,
                add_patch=False, title=None, off_screen=True, n=n, interpolation='spline36')
-'''              
\ No newline at end of file
+"""
diff --git a/examples/fit/script_wavepacket_fit.py b/examples/fit/script_wavepacket_fit.py
index f22fd03..274a553 100644
--- a/examples/fit/script_wavepacket_fit.py
+++ b/examples/fit/script_wavepacket_fit.py
@@ -1,16 +1,10 @@
 import numpy as np
-import matplotlib.pyplot as plt
-import os, sys
-import pyvista as pv
 from tqdm import tqdm
-from mpl_toolkits.axes_grid1 import make_axes_locatable
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import c as c_light, mu_0 as mu_0
 
-sys.path.append('../')
 
 from solverFIT3D import SolverFIT3D
-from gridFIT3D import GridFIT3D 
-from field import Field 
+from gridFIT3D import GridFIT3D
 
 
 # ---------- Domain setup ---------
@@ -21,73 +15,99 @@
 Nz = 150
 
 # Domain bounds: box 10cmx10cmx30cm
-xmin, xmax, ymin, ymax, zmin, zmax = -1.e-1, 1.e-1, -1.e-1, 1.e-1, -2.e-1, 2.e-1
-Lx, Ly, Lz = (xmax-xmin), (ymax-ymin), (zmax-zmin)
+xmin, xmax, ymin, ymax, zmin, zmax = -1.0e-1, 1.0e-1, -1.0e-1, 1.0e-1, -2.0e-1, 2.0e-1
+Lx, Ly, Lz = (xmax - xmin), (ymax - ymin), (zmax - zmin)
 
 # boundary conditions
-bc_low=['periodic', 'periodic', 'pec']
-bc_high=['periodic', 'periodic', 'pec']
+bc_low = ["periodic", "periodic", "pec"]
+bc_high = ["periodic", "periodic", "pec"]
 
 # set FIT solver
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz) 
+grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz)
 
 solver = SolverFIT3D(grid, bc_low=bc_low, bc_high=bc_high)
 
 # ------------ Source ----------------
 
+
 def wave_packet(solver, t, wavelength=10, sigma_z=10, sigma_x=5, beta=1.0, f=None):
-    '''2d gaussian wave packet
-    
-    * Note: params `sigma_z` and `wavelength` are expressed as 
-    multiples of `solver.dz`. 
-    ** Note: Param `sigma_x` is expressed as 
-    multiple of `solver.dx`. 
-    '''
-    wavelength = wavelength*solver.dz
-    sigma_z = sigma_z*solver.dz
-    sigma_x = sigma_x*solver.dx
+    """2d gaussian wave packet
+
+    * Note: params `sigma_z` and `wavelength` are expressed as
+    multiples of `solver.dz`.
+    ** Note: Param `sigma_x` is expressed as
+    multiple of `solver.dx`.
+    """
+    wavelength = wavelength * solver.dz
+    sigma_z = sigma_z * solver.dz
+    sigma_x = sigma_x * solver.dx
 
     if f is None:
-        f = c_light/wavelength
+        f = c_light / wavelength
+
+    w = 2 * np.pi * f  # ang. frequency
+    s0 = solver.z.min() - 6 * sigma_z
+    s = solver.z.min() - beta * c_light * t
 
-    w = 2*np.pi*f       # ang. frequency  
-    s0 = solver.z.min()-6*sigma_z
-    s = solver.z.min()-beta*c_light*t
- 
     X, Y = np.meshgrid(solver.x, solver.y)
-    gaussxy = np.exp(-(X**2+Y**2)/(2*sigma_x**2))
-    gausst = np.exp(-(s-s0)**2/(2*sigma_z**2))
+    gaussxy = np.exp(-(X**2 + Y**2) / (2 * sigma_x**2))
+    gausst = np.exp(-((s - s0) ** 2) / (2 * sigma_z**2))
 
-    solver.H[:,:,0,'y'] = -1.0*np.cos(w*t)*gaussxy*gausst
-    solver.E[:,:,0,'x'] = 1.0*mu_0*c_light*np.cos(w*t)*gaussxy*gausst
+    solver.H[:, :, 0, "y"] = -1.0 * np.cos(w * t) * gaussxy * gausst
+    solver.E[:, :, 0, "x"] = 1.0 * mu_0 * c_light * np.cos(w * t) * gaussxy * gausst
 
 
 # ------------ Time loop ----------------
 
-Nt = int((zmax-zmin)/(solver.dt*c_light))*2
+Nt = int((zmax - zmin) / (solver.dt * c_light)) * 2
 plot2D = False
-plot1D = True 
+plot1D = True
 for n in tqdm(range(Nt)):
-
     # Initial condition
-    if n < int((zmax-zmin)/(solver.dt*c_light)):
-        wave_packet(solver, n*solver.dt)
+    if n < int((zmax - zmin) / (solver.dt * c_light)):
+        wave_packet(solver, n * solver.dt)
 
     # Advance
     solver.one_step()
 
     # Plot
-    if plot2D and n%10 == 0:
-        solver.plot2D(field='H', component='y', plane='ZY', pos=0.5, norm='symlog', 
-               vmin=-1, vmax=1, figsize=[8,4], cmap='RdBu', patch_alpha=0.1, 
-               add_patch=None, title='imgGWP/Hy', off_screen=True, n=n, interpolation='spline36')
-    if plot1D and n%15 == 0:
-        solver.plot1D(field='H', component='y', line='z', pos=0.5,
-               xscale='linear', yscale='linear', xlim=None, ylim=(-1,1), 
-               figsize=[8,4], title='imgGWP/Hy1d', off_screen=True, n=n, c='b')
-    
+    if plot2D and n % 10 == 0:
+        solver.plot2D(
+            field="H",
+            component="y",
+            plane="ZY",
+            pos=0.5,
+            norm="symlog",
+            vmin=-1,
+            vmax=1,
+            figsize=[8, 4],
+            cmap="RdBu",
+            patch_alpha=0.1,
+            add_patch=None,
+            title="imgGWP/Hy",
+            off_screen=True,
+            n=n,
+            interpolation="spline36",
+        )
+    if plot1D and n % 15 == 0:
+        solver.plot1D(
+            field="H",
+            component="y",
+            line="z",
+            pos=0.5,
+            xscale="linear",
+            yscale="linear",
+            xlim=None,
+            ylim=(-1, 1),
+            figsize=[8, 4],
+            title="imgGWP/Hy1d",
+            off_screen=True,
+            n=n,
+            c="b",
+        )
+
 # Plot 3D built-in
-'''
+"""
 solver.plot3D(field='H', component='z', clim=None,  hide_solids=None, show_solids=None, 
                add_stl=None, stl_opacity=0.1, stl_colors='white',
                title=None, cmap='rainbow', clip_volume=True, clip_normal='-y',
@@ -96,4 +116,4 @@ def wave_packet(solver, t, wavelength=10, sigma_z=10, sigma_x=5, beta=1.0, f=Non
 solver.plot2D(field='E', component='x', plane='ZY', pos=0.5, norm=None, 
                vmin=None, vmax=None, figsize=[8,4], cmap='jet', patch_alpha=0.1,
                add_patch=False, title=None, off_screen=True, n=n, interpolation='spline36')
-'''              
\ No newline at end of file
+"""
diff --git a/notebooks/001_dielectric_barriers.ipynb b/notebooks/001_dielectric_barriers.ipynb
index ddd9c76..c6f2df9 100644
--- a/notebooks/001_dielectric_barriers.ipynb
+++ b/notebooks/001_dielectric_barriers.ipynb
@@ -39,7 +39,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -47,10 +47,6 @@
     "import numpy as np\n",
     "from tqdm import tqdm\n",
     "\n",
-    "# import wakis package (local)\n",
-    "import sys\n",
-    "sys.path.append('../wakis/')\n",
-    "\n",
     "from wakis.solverFIT3D import SolverFIT3D\n",
     "from wakis.gridFIT3D import GridFIT3D\n",
     "from wakis.sources import WavePacket\n",
@@ -63,8 +59,9 @@
     "import pyvista as pv\n",
     "import matplotlib.animation\n",
     "import matplotlib.pyplot as plt\n",
+    "\n",
     "plt.rcParams[\"animation.html\"] = \"jshtml\"\n",
-    "plt.rcParams['figure.dpi'] = 150  \n",
+    "plt.rcParams[\"figure.dpi\"] = 150\n",
     "plt.ioff()\n",
     "\n",
     "%matplotlib ipympl"
@@ -100,12 +97,12 @@
    "source": [
     "# Barriers\n",
     "barrier = {}\n",
-    "barrier[1] = pv.Cube(x_length=5, y_length=5, center=(0,0,3)) #1x1x1 m\n",
-    "barrier[2] = pv.Cube(x_length=5, y_length=5, center=(0,0,5))\n",
-    "barrier[3] = pv.Cube(x_length=5, y_length=5, center=(0,0,7))\n",
+    "barrier[1] = pv.Cube(x_length=5, y_length=5, center=(0, 0, 3))  # 1x1x1 m\n",
+    "barrier[2] = pv.Cube(x_length=5, y_length=5, center=(0, 0, 5))\n",
+    "barrier[3] = pv.Cube(x_length=5, y_length=5, center=(0, 0, 7))\n",
     "barriers = barrier[1] + barrier[2] + barrier[3]\n",
     "\n",
-    "barriers.save('barriers.stl')\n",
+    "barriers.save(\"barriers.stl\")\n",
     "barriers.plot()"
    ]
   },
@@ -139,25 +136,34 @@
     }
    ],
    "source": [
-    "# Number of mesh cells - Feel free to cranck it up!! \n",
+    "# Number of mesh cells - Feel free to cranck it up!!\n",
     "Nx = 50\n",
     "Ny = 50\n",
     "Nz = 150\n",
     "\n",
     "# Stl input\n",
-    "stl_solids = {'barriers' : 'barriers.stl'}\n",
-    "stl_materials = {'barriers' : [5.0, 1.0]} #[eps, mu]\n",
+    "stl_solids = {\"barriers\": \"barriers.stl\"}\n",
+    "stl_materials = {\"barriers\": [5.0, 1.0]}  # [eps, mu]\n",
     "\n",
     "# Domain bounds\n",
     "print(barriers.bounds)\n",
     "xmin, xmax, ymin, ymax, zmin, zmax = barriers.bounds\n",
-    "zmin, zmax = 0., 10.\n",
+    "zmin, zmax = 0.0, 10.0\n",
     "\n",
     "# Simulation grid\n",
-    "grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, \n",
-    "                 Nx, Ny, Nz, \n",
-    "                 stl_solids=stl_solids, \n",
-    "                 stl_materials=stl_materials)\n",
+    "grid = GridFIT3D(\n",
+    "    xmin,\n",
+    "    xmax,\n",
+    "    ymin,\n",
+    "    ymax,\n",
+    "    zmin,\n",
+    "    zmax,\n",
+    "    Nx,\n",
+    "    Ny,\n",
+    "    Nz,\n",
+    "    stl_solids=stl_solids,\n",
+    "    stl_materials=stl_materials,\n",
+    ")\n",
     "grid.inspect()"
    ]
   },
@@ -188,16 +194,17 @@
    ],
    "source": [
     "# boundary conditions\n",
-    "bc_low=['periodic', 'periodic', 'pec']  \n",
-    "bc_high=['periodic', 'periodic', 'pec']\n",
-    "\n",
-    "solver = SolverFIT3D(grid=grid,     # pass grid object\n",
-    "                     cfln=0.5,       # Default if no dt is defined\n",
-    "                     bc_low=bc_low, \n",
-    "                     bc_high=bc_high, \n",
-    "                     use_stl=True,     # Enables or disables geometry import\n",
-    "                     bg='vacuum',      # Background material \n",
-    "                     )\n"
+    "bc_low = [\"periodic\", \"periodic\", \"pec\"]\n",
+    "bc_high = [\"periodic\", \"periodic\", \"pec\"]\n",
+    "\n",
+    "solver = SolverFIT3D(\n",
+    "    grid=grid,  # pass grid object\n",
+    "    cfln=0.5,  # Default if no dt is defined\n",
+    "    bc_low=bc_low,\n",
+    "    bc_high=bc_high,\n",
+    "    use_stl=True,  # Enables or disables geometry import\n",
+    "    bg=\"vacuum\",  # Background material\n",
+    ")"
    ]
   },
   {
@@ -232,7 +239,7 @@
     }
    ],
    "source": [
-    "solver.ieps.inspect(plane='YZ', dpi=100)"
+    "solver.ieps.inspect(plane=\"YZ\", dpi=100)"
    ]
   },
   {
@@ -310,20 +317,18 @@
    ],
    "source": [
     "# Add Gaussian wavepacket\n",
-    "source = WavePacket(xs=slice(0,Nx), ys=slice(0,Ny),\n",
-    "                    sigmaxy=0.7,\n",
-    "                    sigmaz=0.8,\n",
-    "                    wavelength=1.2,\n",
-    "                    tinj=3)\n",
+    "source = WavePacket(\n",
+    "    xs=slice(0, Nx), ys=slice(0, Ny), sigmaxy=0.7, sigmaz=0.8, wavelength=1.2, tinj=3\n",
+    ")\n",
     "\n",
-    "t = np.arange(0,2000*solver.dt, solver.dt)\n",
+    "t = np.arange(0, 2000 * solver.dt, solver.dt)\n",
     "source.plot(t)\n",
     "\n",
     "# plot 2d\n",
     "X, Y = np.meshgrid(solver.x, solver.y)\n",
-    "gaussxy = np.exp(-(X**2+Y**2)/(2*source.sigmaxy**2))\n",
+    "gaussxy = np.exp(-(X**2 + Y**2) / (2 * source.sigmaxy**2))\n",
     "plt.figure()\n",
-    "plt.contourf(X,Y,gaussxy)"
+    "plt.contourf(X, Y, gaussxy)"
    ]
   },
   {
@@ -391,8 +396,8 @@
    ],
    "source": [
     "# First we check that all the fields are initialized to zero\n",
-    "solver.E.inspect(plane='YZ')\n",
-    "solver.H.inspect(plane='YZ')"
+    "solver.E.inspect(plane=\"YZ\")\n",
+    "solver.H.inspect(plane=\"YZ\")"
    ]
   },
   {
@@ -401,14 +406,14 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "# We define the metric \n",
+    "# We define the metric\n",
     "def energy(solver):\n",
-    "    E2 = solver.E.get_abs()**2\n",
-    "    H2 = solver.H.get_abs()**2   \n",
-    "    eps = 1/solver.ieps.get_abs()\n",
-    "    mu = 1/solver.imu.get_abs() \n",
+    "    E2 = solver.E.get_abs() ** 2\n",
+    "    H2 = solver.H.get_abs() ** 2\n",
+    "    eps = 1 / solver.ieps.get_abs()\n",
+    "    mu = 1 / solver.imu.get_abs()\n",
     "\n",
-    "    return 0.5*(eps*E2 + mu*H2)"
+    "    return 0.5 * (eps * E2 + mu * H2)"
    ]
   },
   {
@@ -425,35 +430,47 @@
     }
    ],
    "source": [
-    "#initialize to 0\n",
-    "for d in ['x','y','z']:\n",
-    "    solver.E[:,:,:,d] = 0.\n",
-    "    solver.H[:,:,:,d] = 0.\n",
+    "# initialize to 0\n",
+    "for d in [\"x\", \"y\", \"z\"]:\n",
+    "    solver.E[:, :, :, d] = 0.0\n",
+    "    solver.H[:, :, :, d] = 0.0\n",
     "\n",
     "\n",
     "Hy, U = {}, {}\n",
-    "plot2D=False\n",
+    "plot2D = False\n",
     "\n",
     "# Time-stepping: wavepacket will go to zmax and back\n",
-    "N1 = 2*int((zmax-zmin)/c_light/solver.dt) \n",
+    "N1 = 2 * int((zmax - zmin) / c_light / solver.dt)\n",
     "for n in tqdm(range(N1)):\n",
+    "    # apply source\n",
+    "    source.update(solver, solver.dt * n)\n",
     "\n",
-    "    #apply source\n",
-    "    source.update(solver, solver.dt*n)\n",
-    "\n",
-    "    #Advance fields\n",
+    "    # Advance fields\n",
     "    solver.one_step()\n",
     "\n",
-    "    if n%30 == 0:\n",
-    "        Hy[n] = solver.H[Nx//2, Ny//2, :, 'y']\n",
+    "    if n % 30 == 0:\n",
+    "        Hy[n] = solver.H[Nx // 2, Ny // 2, :, \"y\"]\n",
     "        U[n] = np.sum(energy(solver))\n",
     "\n",
     "    # Plot every 50 timesteps\n",
-    "    if plot2D and n%50 == 0:\n",
-    "        solver.plot2D(field='H', component='y', plane='ZY', pos=0.5, norm='symlog', \n",
-    "               vmin=-1, vmax=1, figsize=[8,4], cmap='RdBu', patch_alpha=0.1, \n",
-    "               add_patch=None, title='Hy', off_screen=True, n=n, interpolation='spline36')\n",
-    "    "
+    "    if plot2D and n % 50 == 0:\n",
+    "        solver.plot2D(\n",
+    "            field=\"H\",\n",
+    "            component=\"y\",\n",
+    "            plane=\"ZY\",\n",
+    "            pos=0.5,\n",
+    "            norm=\"symlog\",\n",
+    "            vmin=-1,\n",
+    "            vmax=1,\n",
+    "            figsize=[8, 4],\n",
+    "            cmap=\"RdBu\",\n",
+    "            patch_alpha=0.1,\n",
+    "            add_patch=None,\n",
+    "            title=\"Hy\",\n",
+    "            off_screen=True,\n",
+    "            n=n,\n",
+    "            interpolation=\"spline36\",\n",
+    "        )"
    ]
   },
   {
@@ -521,8 +538,8 @@
    ],
    "source": [
     "# Now we can see the state of the fields after the simulations\n",
-    "solver.E.inspect(plane='YZ')\n",
-    "solver.H.inspect(plane='YZ')"
+    "solver.E.inspect(plane=\"YZ\")\n",
+    "solver.H.inspect(plane=\"YZ\")"
    ]
   },
   {
@@ -558,7 +575,7 @@
    ],
    "source": [
     "# quick plotting\n",
-    "solver.plot1D('Hy', pos=[0.5, 0.4, 0.6], colors=['tab:green', 'tab:red', 'tab:blue'])"
+    "solver.plot1D(\"Hy\", pos=[0.5, 0.4, 0.6], colors=[\"tab:green\", \"tab:red\", \"tab:blue\"])"
    ]
   },
   {
@@ -595,10 +612,21 @@
    "source": [
     "# Quick plotting, now in 2D\n",
     "plt.close()\n",
-    "solver.plot2D(field='H', component='y', plane='ZY', pos=0.5, norm='symlog',\n",
-    "              figsize=[8,4], cmap='RdBu', interpolation='spline36',\n",
-    "              add_patch=['barriers'], patch_alpha=0.6,\n",
-    "              title='Hy', off_screen=False, n=n, )"
+    "solver.plot2D(\n",
+    "    field=\"H\",\n",
+    "    component=\"y\",\n",
+    "    plane=\"ZY\",\n",
+    "    pos=0.5,\n",
+    "    norm=\"symlog\",\n",
+    "    figsize=[8, 4],\n",
+    "    cmap=\"RdBu\",\n",
+    "    interpolation=\"spline36\",\n",
+    "    add_patch=[\"barriers\"],\n",
+    "    patch_alpha=0.6,\n",
+    "    title=\"Hy\",\n",
+    "    off_screen=False,\n",
+    "    n=n,\n",
+    ")"
    ]
   },
   {
@@ -641,28 +669,30 @@
    ],
    "source": [
     "# frames animation\n",
-    "fig, ax = plt.subplots(figsize=[8,3])\n",
+    "fig, ax = plt.subplots(figsize=[8, 3])\n",
+    "\n",
     "\n",
     "def animate(frame):\n",
     "    plt.cla()\n",
     "\n",
     "    # field\n",
     "    t = list(Hy.keys())\n",
-    "    plt.plot(solver.z, Hy[t[frame]], c='r')\n",
+    "    plt.plot(solver.z, Hy[t[frame]], c=\"r\")\n",
     "    plt.ylim((-1, 1))\n",
-    "    plt.xlim((0,10))\n",
-    "    \n",
+    "    plt.xlim((0, 10))\n",
+    "\n",
     "    # barriers\n",
     "    for b in barrier.values():\n",
     "        xlo, xhi, ylo, yhi, zlo, zhi = b.bounds\n",
-    "        plt.axvspan(zlo, zhi, color='g', alpha=0.3)\n",
+    "        plt.axvspan(zlo, zhi, color=\"g\", alpha=0.3)\n",
+    "\n",
+    "    plt.xlabel(\"z [m]\")\n",
+    "    plt.ylabel(\"Magnetic field Hy [A/m]\")\n",
     "\n",
-    "    plt.xlabel('z [m]')\n",
-    "    plt.ylabel('Magnetic field Hy [A/m]')\n",
     "\n",
     "anim = matplotlib.animation.FuncAnimation(fig, animate, frames=len(Hy.keys()))\n",
-    "anim.save(f'dielectric_barriers.gif')\n",
-    "#plt.close(fig)"
+    "anim.save(\"dielectric_barriers.gif\")\n",
+    "# plt.close(fig)"
    ]
   },
   {
@@ -709,11 +739,13 @@
    "source": [
     "# plot of the energy\n",
     "plt.figure()\n",
-    "plt.plot(np.array(list(U.keys()))*solver.dt, list(U.values()), '-ob')\n",
-    "plt.xlim(0,N1*solver.dt)\n",
-    "plt.ylabel('Total Energy <U>', c='b')\n",
-    "plt.xlabel('Time [s]')\n",
-    "plt.title(r'Total energy <U>$= \\frac{1}{2}\\left( \\varepsilon |E|^2 + \\mu |H|^2  \\right)$')"
+    "plt.plot(np.array(list(U.keys())) * solver.dt, list(U.values()), \"-ob\")\n",
+    "plt.xlim(0, N1 * solver.dt)\n",
+    "plt.ylabel(\"Total Energy <U>\", c=\"b\")\n",
+    "plt.xlabel(\"Time [s]\")\n",
+    "plt.title(\n",
+    "    r\"Total energy <U>$= \\frac{1}{2}\\left( \\varepsilon |E|^2 + \\mu |H|^2  \\right)$\"\n",
+    ")"
    ]
   },
   {
diff --git a/notebooks/002_Wakefield_simulation.ipynb b/notebooks/002_Wakefield_simulation.ipynb
index c34bc43..3d5b783 100644
--- a/notebooks/002_Wakefield_simulation.ipynb
+++ b/notebooks/002_Wakefield_simulation.ipynb
@@ -79,13 +79,19 @@
    ],
    "source": [
     "# Read geometry -change path if errors are found!\n",
-    "stl_cavity = 'data/002_vacuum_cavity.stl'\n",
-    "stl_shell = 'data/002_lossymetal_shell.stl'\n",
+    "stl_cavity = \"data/002_vacuum_cavity.stl\"\n",
+    "stl_shell = \"data/002_lossymetal_shell.stl\"\n",
     "\n",
     "pl = pv.Plotter()\n",
-    "pl.add_mesh(pv.read(stl_shell),color='tab:orange', specular=0.5, smooth_shading=True)\n",
-    "pl.add_mesh(pv.read(stl_cavity),color='tab:blue', opacity=0.5, specular=0.5, smooth_shading=True)\n",
-    "pl.set_background('mistyrose', top='white')\n",
+    "pl.add_mesh(pv.read(stl_shell), color=\"tab:orange\", specular=0.5, smooth_shading=True)\n",
+    "pl.add_mesh(\n",
+    "    pv.read(stl_cavity),\n",
+    "    color=\"tab:blue\",\n",
+    "    opacity=0.5,\n",
+    "    specular=0.5,\n",
+    "    smooth_shading=True,\n",
+    ")\n",
+    "pl.set_background(\"mistyrose\", top=\"white\")\n",
     "pl.show()"
    ]
   },
@@ -110,21 +116,31 @@
     "Nx = 100\n",
     "Ny = 100\n",
     "Nz = 101\n",
-    "#dt = 2.187760221e-12 # like CST\n",
+    "# dt = 2.187760221e-12 # like CST\n",
     "\n",
-    "stl_solids = {'cavity': stl_cavity, 'shell': stl_shell}\n",
-    "stl_materials = {'cavity': 'vacuum', 'shell': [30, 1.0, 30]}\n",
+    "stl_solids = {\"cavity\": stl_cavity, \"shell\": stl_shell}\n",
+    "stl_materials = {\"cavity\": \"vacuum\", \"shell\": [30, 1.0, 30]}\n",
     "\n",
     "# Domain bounds\n",
     "surf = pv.read(stl_shell) + pv.read(stl_cavity)\n",
     "xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds\n",
-    "Lx, Ly, Lz = (xmax-xmin), (ymax-ymin), (zmax-zmin)\n",
+    "Lx, Ly, Lz = (xmax - xmin), (ymax - ymin), (zmax - zmin)\n",
     "\n",
     "# set grid and geometry\n",
-    "grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz,\n",
-    "                stl_solids=stl_solids,\n",
-    "                stl_materials=stl_materials,\n",
-    "                stl_scale=1.0)"
+    "grid = GridFIT3D(\n",
+    "    xmin,\n",
+    "    xmax,\n",
+    "    ymin,\n",
+    "    ymax,\n",
+    "    zmin,\n",
+    "    zmax,\n",
+    "    Nx,\n",
+    "    Ny,\n",
+    "    Nz,\n",
+    "    stl_solids=stl_solids,\n",
+    "    stl_materials=stl_materials,\n",
+    "    stl_scale=1.0,\n",
+    ")"
    ]
   },
   {
@@ -148,9 +164,9 @@
     }
    ],
    "source": [
-    "grid.plot_stl_mask('shell', add_stl='all',\n",
-    "                   stl_opacity=0.2,\n",
-    "                   show_grid=False, bounding_box=False)"
+    "grid.plot_stl_mask(\n",
+    "    \"shell\", add_stl=\"all\", stl_opacity=0.2, show_grid=False, bounding_box=False\n",
+    ")"
    ]
   },
   {
@@ -218,7 +234,7 @@
    ],
    "source": [
     "# [OPTIONAL] Save grid to HDF5 file for later use\n",
-    "grid.save_to_h5('grid.h5')\n",
+    "grid.save_to_h5(\"grid.h5\")\n",
     "\n",
     "# [OPTIONAL] Load grid from HDF5 file or re-instantiate the class from file\n",
     "# grid.load_from_h5('grid.h5')\n",
@@ -253,16 +269,18 @@
    ],
    "source": [
     "# boundary conditions\n",
-    "bc_low=['pec', 'pec', 'pec']\n",
-    "bc_high=['pec', 'pec', 'pec']\n",
+    "bc_low = [\"pec\", \"pec\", \"pec\"]\n",
+    "bc_high = [\"pec\", \"pec\", \"pec\"]\n",
     "\n",
-    "solver = SolverFIT3D(grid,\n",
-    "                     bc_low=bc_low, bc_high=bc_high,\n",
-    "                     use_stl=True,\n",
-    "                     bg='pec', #background material\n",
-    "                     use_gpu=False,\n",
-    "                     dtype=np.float32,\n",
-    "                     )"
+    "solver = SolverFIT3D(\n",
+    "    grid,\n",
+    "    bc_low=bc_low,\n",
+    "    bc_high=bc_high,\n",
+    "    use_stl=True,\n",
+    "    bg=\"pec\",  # background material\n",
+    "    use_gpu=False,\n",
+    "    dtype=np.float32,\n",
+    ")"
    ]
   },
   {
@@ -293,7 +311,7 @@
     }
    ],
    "source": [
-    "solver.sigma.inspect3D(field='x', ymax=0, grid=grid, show_grid=False, backend='pyvista')"
+    "solver.sigma.inspect3D(field=\"x\", ymax=0, grid=grid, show_grid=False, backend=\"pyvista\")"
    ]
   },
   {
@@ -329,7 +347,9 @@
    ],
    "source": [
     "# Inspect the material tensors before running the simulations\n",
-    "solver.ieps.inspect(plane='XY',)"
+    "solver.ieps.inspect(\n",
+    "    plane=\"XY\",\n",
+    ")"
    ]
   },
   {
@@ -365,9 +385,9 @@
    ],
    "source": [
     "# Modify the field to add initial conditions and quickly inspect the modifications\n",
-    "solver.E[10,20:75,:,'z'] = 1.0\n",
-    "solver.E.inspect(plane='XY')\n",
-    "solver.E[10,20:40,:,'z'] = 0.0 # And restore it back!"
+    "solver.E[10, 20:75, :, \"z\"] = 1.0\n",
+    "solver.E.inspect(plane=\"XY\")\n",
+    "solver.E[10, 20:40, :, \"z\"] = 0.0  # And restore it back!"
    ]
   },
   {
@@ -392,26 +412,33 @@
    "source": [
     "# ------------ Beam source ----------------\n",
     "# Beam parameters\n",
-    "sigmaz = 10e-2      #[m] -> 2 GHz\n",
-    "q = 1e-9            #[C]\n",
-    "beta = 1.0          # beam beta\n",
-    "xs = 0.             # x source position [m]\n",
-    "ys = 0.             # y source position [m]\n",
-    "xt = 0.             # x test position [m]\n",
-    "yt = 0.             # y test position [m]\n",
+    "sigmaz = 10e-2  # [m] -> 2 GHz\n",
+    "q = 1e-9  # [C]\n",
+    "beta = 1.0  # beam beta\n",
+    "xs = 0.0  # x source position [m]\n",
+    "ys = 0.0  # y source position [m]\n",
+    "xt = 0.0  # x test position [m]\n",
+    "yt = 0.0  # y test position [m]\n",
     "# [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]\n",
     "\n",
     "\n",
     "# ----------- Solver  setup  ----------\n",
     "# Wakefield post-processor\n",
-    "wakelength = 60. #[m]\n",
-    "add_space = 10   # no. cells\n",
+    "wakelength = 60.0  # [m]\n",
+    "add_space = 10  # no. cells\n",
     "\n",
-    "wake = WakeSolver(q=q, sigmaz=sigmaz, beta=beta,\n",
-    "                xsource=xs, ysource=ys, xtest=xt, ytest=yt,\n",
-    "                add_space=add_space,\n",
-    "                results_folder='002_results/',\n",
-    "                Ez_file='002_results/Ez.h5',)"
+    "wake = WakeSolver(\n",
+    "    q=q,\n",
+    "    sigmaz=sigmaz,\n",
+    "    beta=beta,\n",
+    "    xsource=xs,\n",
+    "    ysource=ys,\n",
+    "    xtest=xt,\n",
+    "    ytest=yt,\n",
+    "    add_space=add_space,\n",
+    "    results_folder=\"002_results/\",\n",
+    "    Ez_file=\"002_results/Ez.h5\",\n",
+    ")"
    ]
   },
   {
@@ -442,9 +469,14 @@
     }
    ],
    "source": [
-    "pl = solver.inspect(wake=wake, opacity=1.0, add_silhouette=True,\n",
-    "                    off_screen=False, specular=0.,\n",
-    "                    smooth_shading=False )\n",
+    "pl = solver.inspect(\n",
+    "    wake=wake,\n",
+    "    opacity=1.0,\n",
+    "    add_silhouette=True,\n",
+    "    off_screen=False,\n",
+    "    specular=0.0,\n",
+    "    smooth_shading=False,\n",
+    ")\n",
     "\n",
     "# If off_screen = True, we can save the scene in HTML or as a screenshot\n",
     "# pl.export_html('002_inspect.html')\n",
@@ -464,10 +496,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "solver.wakesolve(wakelength=wakelength,\n",
-    "                 wake=wake,\n",
-    "                 add_space=add_space,\n",
-    "                 plot=False)"
+    "solver.wakesolve(wakelength=wakelength, wake=wake, add_space=add_space, plot=False)"
    ]
   },
   {
@@ -504,27 +533,27 @@
     "# Compare to benchmark data, if available\n",
     "compare_to_CST = False\n",
     "\n",
-    "fig, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)\n",
-    "ax[0].plot(wake.s*1e2, wake.WP, c='r', lw=1.5, label='Wakis')\n",
-    "ax[0].set_xlabel('s [cm]')\n",
-    "ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='r')\n",
+    "fig, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)\n",
+    "ax[0].plot(wake.s * 1e2, wake.WP, c=\"r\", lw=1.5, label=\"Wakis\")\n",
+    "ax[0].set_xlabel(\"s [cm]\")\n",
+    "ax[0].set_ylabel(\"Longitudinal wake potential [V/pC]\", color=\"r\")\n",
     "ax[0].legend()\n",
     "\n",
-    "ax[1].plot(wake.f*1e-9, np.abs(wake.Z), c='b', lw=1.5, label='Wakis')\n",
-    "ax[1].set_xlabel('f [GHz]')\n",
-    "ax[1].set_ylabel('Longitudinal impedance [Abs][$\\Omega$]', color='b')\n",
+    "ax[1].plot(wake.f * 1e-9, np.abs(wake.Z), c=\"b\", lw=1.5, label=\"Wakis\")\n",
+    "ax[1].set_xlabel(\"f [GHz]\")\n",
+    "ax[1].set_ylabel(\"Longitudinal impedance [Abs][$\\Omega$]\", color=\"b\")\n",
     "ax[1].legend()\n",
     "\n",
     "if compare_to_CST:\n",
     "    # CST wake and impedace data:\n",
-    "    cstWP = wake.read_txt('cst/WP.txt')\n",
-    "    cstZ = wake.read_txt('cst/Z.txt')\n",
-    "    ax[0].plot(cstWP[0], cstWP[1], c='k', ls='--', lw=1.5, label='CST')\n",
-    "    ax[1].plot(cstZ[0], cstZ[1], c='k', ls='--', lw=1.5, label='CST')\n",
-    "    fig.suptitle('Benchmark with CST Wakefield Solver')\n",
+    "    cstWP = wake.read_txt(\"cst/WP.txt\")\n",
+    "    cstZ = wake.read_txt(\"cst/Z.txt\")\n",
+    "    ax[0].plot(cstWP[0], cstWP[1], c=\"k\", ls=\"--\", lw=1.5, label=\"CST\")\n",
+    "    ax[1].plot(cstZ[0], cstZ[1], c=\"k\", ls=\"--\", lw=1.5, label=\"CST\")\n",
+    "    fig.suptitle(\"Benchmark with CST Wakefield Solver\")\n",
     "\n",
     "fig.tight_layout()\n",
-    "fig.savefig('002_results/benchmark.png')"
+    "fig.savefig(\"002_results/benchmark.png\")"
    ]
   },
   {
@@ -540,7 +569,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "wake.load_results(folder='002_results/')"
+    "wake.load_results(folder=\"002_results/\")"
    ]
   },
   {
@@ -574,20 +603,31 @@
     "from wakis.sources import Beam\n",
     "from tqdm import tqdm\n",
     "\n",
-    "beam = Beam(q=q, sigmaz=sigmaz, beta=beta,\n",
-    "            xsource=xs, ysource=ys)\n",
+    "beam = Beam(q=q, sigmaz=sigmaz, beta=beta, xsource=xs, ysource=ys)\n",
     "\n",
     "Nt = 3000\n",
     "for n in tqdm(range(Nt)):\n",
+    "    beam.update(solver, n * solver.dt)\n",
     "\n",
-    "    beam.update(solver, n*solver.dt)\n",
-    "\n",
-    "    if n%500 == 0 and n>3000:\n",
-    "        solver.plot3DonSTL('E', component='Abs', cmap='rainbow', clim=[0, 500],\n",
-    "            stl_with_field='cavity', field_opacity=1.0,\n",
-    "            stl_transparent='shell', stl_opacity=0.1, stl_colors='white',\n",
-    "            clip_plane=True, clip_normal='-y', clip_origin=[0,0,0],\n",
-    "            off_screen=True, zoom=1.2, n=n, title='002_img/Ez')\n",
+    "    if n % 500 == 0 and n > 3000:\n",
+    "        solver.plot3DonSTL(\n",
+    "            \"E\",\n",
+    "            component=\"Abs\",\n",
+    "            cmap=\"rainbow\",\n",
+    "            clim=[0, 500],\n",
+    "            stl_with_field=\"cavity\",\n",
+    "            field_opacity=1.0,\n",
+    "            stl_transparent=\"shell\",\n",
+    "            stl_opacity=0.1,\n",
+    "            stl_colors=\"white\",\n",
+    "            clip_plane=True,\n",
+    "            clip_normal=\"-y\",\n",
+    "            clip_origin=[0, 0, 0],\n",
+    "            off_screen=True,\n",
+    "            zoom=1.2,\n",
+    "            n=n,\n",
+    "            title=\"002_img/Ez\",\n",
+    "        )\n",
     "\n",
     "    solver.one_step()"
    ]
@@ -614,23 +654,26 @@
    "outputs": [],
    "source": [
     "from matplotlib.colors import LinearSegmentedColormap\n",
-    "cmap = LinearSegmentedColormap.from_list('name', plt.cm.jet(np.linspace(0.1, 0.9))) # CST's colormap\n",
     "\n",
-    "plotkw2D = {'title':'002_img/Ez',\n",
-    "            'add_patch':['cavity'], 'patch_alpha':1.0,\n",
-    "            'patch_reverse' : True,\n",
-    "            'vmin':-1e3, 'vmax':1e3,\n",
-    "            'cmap': cmap,\n",
-    "            'plane': [int(Nx/2), slice(0, Ny), slice(add_space, -add_space)]}\n",
+    "cmap = LinearSegmentedColormap.from_list(\n",
+    "    \"name\", plt.cm.jet(np.linspace(0.1, 0.9))\n",
+    ")  # CST's colormap\n",
     "\n",
+    "plotkw2D = {\n",
+    "    \"title\": \"002_img/Ez\",\n",
+    "    \"add_patch\": [\"cavity\"],\n",
+    "    \"patch_alpha\": 1.0,\n",
+    "    \"patch_reverse\": True,\n",
+    "    \"vmin\": -1e3,\n",
+    "    \"vmax\": 1e3,\n",
+    "    \"cmap\": cmap,\n",
+    "    \"plane\": [int(Nx / 2), slice(0, Ny), slice(add_space, -add_space)],\n",
+    "}\n",
     "\n",
-    "from wakis.sources import Beam\n",
-    "beam = Beam(q=q, sigmaz=sigmaz, beta=beta,\n",
-    "            xsource=xs, ysource=ys)\n",
     "\n",
-    "solver.emsolve(Nt=8000, source=beam,\n",
-    "               plot=True, plot_every=100,\n",
-    "               **plotkw2D)"
+    "beam = Beam(q=q, sigmaz=sigmaz, beta=beta, xsource=xs, ysource=ys)\n",
+    "\n",
+    "solver.emsolve(Nt=8000, source=beam, plot=True, plot_every=100, **plotkw2D)"
    ]
   },
   {
@@ -646,17 +689,16 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "plotkw3D = {'title':'002_img/Ez3d',\n",
-    "            'add_stl':'shell',\n",
-    "            'field_opacity':0.5,}\n",
+    "plotkw3D = {\n",
+    "    \"title\": \"002_img/Ez3d\",\n",
+    "    \"add_stl\": \"shell\",\n",
+    "    \"field_opacity\": 0.5,\n",
+    "}\n",
     "\n",
-    "from wakis.sources import Beam\n",
-    "beam = Beam(q=q, sigmaz=sigmaz, beta=beta,\n",
-    "            xsource=xs, ysource=ys)\n",
     "\n",
-    "solver.emsolve(Nt=8000, source=beam,\n",
-    "               plot3d=True, plot_every=100,\n",
-    "               **plotkw3D)"
+    "beam = Beam(q=q, sigmaz=sigmaz, beta=beta, xsource=xs, ysource=ys)\n",
+    "\n",
+    "solver.emsolve(Nt=8000, source=beam, plot3d=True, plot_every=100, **plotkw3D)"
    ]
   }
  ],
diff --git a/notebooks/003_PML_absorption1d.ipynb b/notebooks/003_PML_absorption1d.ipynb
index 13e1582..c8c0acb 100644
--- a/notebooks/003_PML_absorption1d.ipynb
+++ b/notebooks/003_PML_absorption1d.ipynb
@@ -37,12 +37,13 @@
     "import pyvista as pv\n",
     "import matplotlib.animation\n",
     "import matplotlib.pyplot as plt\n",
+    "\n",
     "plt.rcParams[\"animation.html\"] = \"jshtml\"\n",
-    "plt.rcParams['figure.dpi'] = 150  \n",
+    "plt.rcParams[\"figure.dpi\"] = 150\n",
     "plt.ioff()\n",
     "\n",
     "%matplotlib ipympl\n",
-    "pv.set_jupyter_backend('html') "
+    "pv.set_jupyter_backend(\"html\")"
    ]
   },
   {
@@ -59,10 +60,17 @@
    "outputs": [],
    "source": [
     "# barrier dimensions\n",
-    "lx, ly, lz = 5., 5., 10.\n",
+    "lx, ly, lz = 5.0, 5.0, 10.0\n",
     "\n",
     "# Domain bounds\n",
-    "xmin, xmax, ymin, ymax, zmin, zmax = -lx/2., lx/2., -ly/2., ly/2., -lz/2.,lz/2.\n",
+    "xmin, xmax, ymin, ymax, zmin, zmax = (\n",
+    "    -lx / 2.0,\n",
+    "    lx / 2.0,\n",
+    "    -ly / 2.0,\n",
+    "    ly / 2.0,\n",
+    "    -lz / 2.0,\n",
+    "    lz / 2.0,\n",
+    ")\n",
     "\n",
     "# Number of mesh cells\n",
     "Nx = 4\n",
@@ -70,7 +78,7 @@
     "Nz = 800\n",
     "\n",
     "# cell size\n",
-    "dx, dy, dz = lx/Nx, ly/Ny, lz/Nz\n",
+    "dx, dy, dz = lx / Nx, ly / Ny, lz / Nz\n",
     "\n",
     "# Barriers\n",
     "barrier = {}\n",
@@ -78,22 +86,33 @@
     "stl_materials = {}\n",
     "\n",
     "n = 16\n",
-    "ss = np.linspace( np.sqrt(1.e-4), np.sqrt(1.e-1), n, )\n",
-    "ss = ss*ss\n",
+    "ss = np.linspace(\n",
+    "    np.sqrt(1.0e-4),\n",
+    "    np.sqrt(1.0e-1),\n",
+    "    n,\n",
+    ")\n",
+    "ss = ss * ss\n",
     "\n",
-    "width = 2.*dz\n",
-    "pos_z_begin = zmax - n*width\n",
+    "width = 2.0 * dz\n",
+    "pos_z_begin = zmax - n * width\n",
     "\n",
     "for k, si in enumerate(ss):\n",
-    "    \n",
-    "    name = f'b{k}'\n",
-    "    file_name = f'notebooks/data/003_barrier{k}.stl'\n",
-    "    \n",
-    "    barrier[k] = pv.Cube( x_length=lx, y_length=ly, z_length=width, center=(0,0,pos_z_begin+k*width))\n",
-    "    barrier[k].save( file_name, )\n",
+    "    name = f\"b{k}\"\n",
+    "    file_name = f\"notebooks/data/003_barrier{k}.stl\"\n",
+    "\n",
+    "    barrier[k] = pv.Cube(\n",
+    "        x_length=lx, y_length=ly, z_length=width, center=(0, 0, pos_z_begin + k * width)\n",
+    "    )\n",
+    "    barrier[k].save(\n",
+    "        file_name,\n",
+    "    )\n",
     "\n",
     "    stl_solids[name] = file_name\n",
-    "    stl_materials[name] = [ 1.+si, 1., si, ]"
+    "    stl_materials[name] = [\n",
+    "        1.0 + si,\n",
+    "        1.0,\n",
+    "        si,\n",
+    "    ]"
    ]
   },
   {
@@ -126,12 +145,21 @@
    ],
    "source": [
     "# Simulation grid\n",
-    "grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, \n",
-    "                 Nx, Ny, Nz, \n",
-    "                 stl_solids=stl_solids, \n",
-    "                 stl_materials=stl_materials)\n",
+    "grid = GridFIT3D(\n",
+    "    xmin,\n",
+    "    xmax,\n",
+    "    ymin,\n",
+    "    ymax,\n",
+    "    zmin,\n",
+    "    zmax,\n",
+    "    Nx,\n",
+    "    Ny,\n",
+    "    Nz,\n",
+    "    stl_solids=stl_solids,\n",
+    "    stl_materials=stl_materials,\n",
+    ")\n",
     "for k in grid.stl_colors:\n",
-    "    grid.stl_colors[k] = 'tab:red'\n",
+    "    grid.stl_colors[k] = \"tab:red\"\n",
     "grid.plot_solids(bounding_box=True)"
    ]
   },
@@ -161,17 +189,18 @@
    ],
    "source": [
     "# boundary conditions\n",
-    "bc_low=['periodic', 'periodic', 'pec']  \n",
-    "bc_high=['periodic', 'periodic', 'pec']\n",
-    "\n",
-    "solver = SolverFIT3D(grid=grid,     # pass grid object\n",
-    "                     cfln=0.50,       # Default if no dt is defined\n",
-    "                     bc_low=bc_low, \n",
-    "                     bc_high=bc_high, \n",
-    "                     use_stl=True,     # Enables or disables geometry import\n",
-    "                     bg='vacuum',      # Background material \n",
-    "                     use_gpu=False,\n",
-    "                     )\n"
+    "bc_low = [\"periodic\", \"periodic\", \"pec\"]\n",
+    "bc_high = [\"periodic\", \"periodic\", \"pec\"]\n",
+    "\n",
+    "solver = SolverFIT3D(\n",
+    "    grid=grid,  # pass grid object\n",
+    "    cfln=0.50,  # Default if no dt is defined\n",
+    "    bc_low=bc_low,\n",
+    "    bc_high=bc_high,\n",
+    "    use_stl=True,  # Enables or disables geometry import\n",
+    "    bg=\"vacuum\",  # Background material\n",
+    "    use_gpu=False,\n",
+    ")"
    ]
   },
   {
@@ -214,23 +243,28 @@
    ],
    "source": [
     "# Add Gaussian wavepacket\n",
-    "source = WavePacket(xs=slice(0,Nx), ys=slice(0,Ny),\n",
-    "                    sigmaxy=100.,\n",
-    "                    sigmaz=.4,\n",
-    "                    wavelength=16.*dz,\n",
-    "                    tinj=2.0,\n",
-    "                    amplitude=1.)\n",
-    "\n",
-    "t = np.arange(0,(zmax-zmin)/c_light, solver.dt)\n",
+    "source = WavePacket(\n",
+    "    xs=slice(0, Nx),\n",
+    "    ys=slice(0, Ny),\n",
+    "    sigmaxy=100.0,\n",
+    "    sigmaz=0.4,\n",
+    "    wavelength=16.0 * dz,\n",
+    "    tinj=2.0,\n",
+    "    amplitude=1.0,\n",
+    ")\n",
+    "\n",
+    "t = np.arange(0, (zmax - zmin) / c_light, solver.dt)\n",
     "\n",
     "# Plot source in time\n",
-    "source.plot( t, )\n",
+    "source.plot(\n",
+    "    t,\n",
+    ")\n",
     "\n",
     "# plot 2d\n",
     "X, Y = np.meshgrid(solver.x, solver.y)\n",
-    "gaussxy = np.exp(-(X**2+Y**2)/(2*source.sigmaxy**2))\n",
-    "#plt.figure()\n",
-    "#plt.contourf(X,Y,gaussxy)"
+    "gaussxy = np.exp(-(X**2 + Y**2) / (2 * source.sigmaxy**2))\n",
+    "# plt.figure()\n",
+    "# plt.contourf(X,Y,gaussxy)"
    ]
   },
   {
@@ -254,38 +288,50 @@
     }
    ],
    "source": [
-    "#initialize to 0\n",
-    "for d in ['x','y','z']:\n",
-    "    solver.E[:,:,:,d] = 0.\n",
-    "    solver.H[:,:,:,d] = 0.\n",
-    "    solver.J[:,:,:,d] = 0.\n",
+    "# initialize to 0\n",
+    "for d in [\"x\", \"y\", \"z\"]:\n",
+    "    solver.E[:, :, :, d] = 0.0\n",
+    "    solver.H[:, :, :, d] = 0.0\n",
+    "    solver.J[:, :, :, d] = 0.0\n",
     "\n",
     "# Fields to save\n",
     "Ex, Ey, Hx, Hy, Jz = [], [], [], [], []\n",
     "\n",
-    "plot2D=False #Turn on to generate 2d plots on-the-fly!\n",
+    "plot2D = False  # Turn on to generate 2d plots on-the-fly!\n",
     "\n",
-    "N1 = 5*int((2+zmax-zmin)/c_light/solver.dt)\n",
+    "N1 = 5 * int((2 + zmax - zmin) / c_light / solver.dt)\n",
     "for n in tqdm(range(N1)):\n",
+    "    # apply source\n",
+    "    source.update(solver, solver.dt * n)\n",
     "\n",
-    "    #apply source\n",
-    "    source.update(solver, solver.dt*n)\n",
-    "\n",
-    "    #Advance fields\n",
+    "    # Advance fields\n",
     "    solver.one_step()\n",
     "\n",
-    "    if n%100 == 0:\n",
-    "        Ex.append(solver.E[Nx//2, Ny//2, :, 'x'])\n",
-    "        Ey.append(solver.E[Nx//2, Ny//2, :, 'y'])\n",
-    "        Hx.append(solver.H[Nx//2, Ny//2, :, 'x'])\n",
-    "        Hy.append(solver.H[Nx//2, Ny//2, :, 'y'])\n",
-    "        Jz.append(solver.J[Nx//2, Ny//2, :, 'z'])\n",
-    "\n",
-    "    if plot2D and n%100 == 0:\n",
-    "        solver.plot2D(field='H', component='y', plane='ZY', pos=0.5, norm='symlog', \n",
-    "               vmin=-1, vmax=1, figsize=[8,4], cmap='RdBu', patch_alpha=0.1, \n",
-    "               add_patch=False, off_screen=True, n=n, interpolation='spline36',\n",
-    "               title='notebooks/data/003_Hy',)"
+    "    if n % 100 == 0:\n",
+    "        Ex.append(solver.E[Nx // 2, Ny // 2, :, \"x\"])\n",
+    "        Ey.append(solver.E[Nx // 2, Ny // 2, :, \"y\"])\n",
+    "        Hx.append(solver.H[Nx // 2, Ny // 2, :, \"x\"])\n",
+    "        Hy.append(solver.H[Nx // 2, Ny // 2, :, \"y\"])\n",
+    "        Jz.append(solver.J[Nx // 2, Ny // 2, :, \"z\"])\n",
+    "\n",
+    "    if plot2D and n % 100 == 0:\n",
+    "        solver.plot2D(\n",
+    "            field=\"H\",\n",
+    "            component=\"y\",\n",
+    "            plane=\"ZY\",\n",
+    "            pos=0.5,\n",
+    "            norm=\"symlog\",\n",
+    "            vmin=-1,\n",
+    "            vmax=1,\n",
+    "            figsize=[8, 4],\n",
+    "            cmap=\"RdBu\",\n",
+    "            patch_alpha=0.1,\n",
+    "            add_patch=False,\n",
+    "            off_screen=True,\n",
+    "            n=n,\n",
+    "            interpolation=\"spline36\",\n",
+    "            title=\"notebooks/data/003_Hy\",\n",
+    "        )"
    ]
   },
   {
@@ -317,7 +363,9 @@
    ],
    "source": [
     "# quick 3d plotting\n",
-    "solver.plot3D( 'Hy', add_stl='b1', clip_interactive=True, stl_opacity=0.4, cmap='gnuplot' )"
+    "solver.plot3D(\n",
+    "    \"Hy\", add_stl=\"b1\", clip_interactive=True, stl_opacity=0.4, cmap=\"gnuplot\"\n",
+    ")"
    ]
   },
   {
@@ -360,43 +408,87 @@
    ],
    "source": [
     "from argparse import Namespace as NS\n",
-    "fields = { \n",
-    "  'Ex': NS( values=np.array(Ex), units='', ), \n",
-    "  'Ey': NS( values=np.array(Ey), units='', ), \n",
-    "  'Hx': NS( values=np.array(Hx), units='', ),\n",
-    "  'Hy': NS( values=np.array(Hy), units='', ),\n",
-    "  'Jz': NS( values=np.array(Jz), units='', ),\n",
+    "\n",
+    "fields = {\n",
+    "    \"Ex\": NS(\n",
+    "        values=np.array(Ex),\n",
+    "        units=\"\",\n",
+    "    ),\n",
+    "    \"Ey\": NS(\n",
+    "        values=np.array(Ey),\n",
+    "        units=\"\",\n",
+    "    ),\n",
+    "    \"Hx\": NS(\n",
+    "        values=np.array(Hx),\n",
+    "        units=\"\",\n",
+    "    ),\n",
+    "    \"Hy\": NS(\n",
+    "        values=np.array(Hy),\n",
+    "        units=\"\",\n",
+    "    ),\n",
+    "    \"Jz\": NS(\n",
+    "        values=np.array(Jz),\n",
+    "        units=\"\",\n",
+    "    ),\n",
     "}\n",
     "\n",
     "# frames animation\n",
-    "fig, axs = plt.subplots( len(fields), 1, figsize=[8,8], dpi=150, )\n",
-    "\n",
-    "axs[-1].set_xlabel(f'z [m]')\n",
-    "for ax, ( ki, vi, ) in zip(axs,fields.items()):\n",
-    "\n",
-    "  ax.set_ylabel(f'Field {ki} {vi.units}')\n",
-    "\n",
-    "  q = np.abs(vi.values).max()\n",
-    "  ax.set_ylim((-q,q))\n",
-    "  ax.set_xlim((zmin,zmax))\n",
-    "  \n",
-    "  # barriers\n",
-    "  for b, si in zip(barrier.values(),ss):\n",
-    "    xlo, xhi, ylo, yhi, zlo, zhi = b.bounds\n",
-    "    ax.axvspan(zlo, zhi, color='g', alpha=.1 + .6*si/ss.max())\n",
-    "\n",
-    "  ls = [ ax.plot(solver.z, np.full_like( solver.z, np.nan, ), c='r')[0] for ax in axs ]\n",
-    "\n",
-    "def animate(frame,ls,fields,axs):\n",
-    "  fig.gca()\n",
-    "  axs[0].set_title(f'frame {frame:6d}')\n",
-    "  # field\n",
-    "  for li, ( ki, vi, ) in zip(ls,fields.items()):\n",
-    "    li.set( data=(solver.z,vi.values[frame]), )\n",
-    "  return ls\n",
-    "\n",
-    "anim = matplotlib.animation.FuncAnimation(fig, lambda frame: animate(frame,ls,fields,axs), frames=len(vi.values), )\n",
-    "anim.save(f'notebooks/data/003_movie.gif')"
+    "fig, axs = plt.subplots(\n",
+    "    len(fields),\n",
+    "    1,\n",
+    "    figsize=[8, 8],\n",
+    "    dpi=150,\n",
+    ")\n",
+    "\n",
+    "axs[-1].set_xlabel(\"z [m]\")\n",
+    "for ax, (\n",
+    "    ki,\n",
+    "    vi,\n",
+    ") in zip(axs, fields.items()):\n",
+    "    ax.set_ylabel(f\"Field {ki} {vi.units}\")\n",
+    "\n",
+    "    q = np.abs(vi.values).max()\n",
+    "    ax.set_ylim((-q, q))\n",
+    "    ax.set_xlim((zmin, zmax))\n",
+    "\n",
+    "    # barriers\n",
+    "    for b, si in zip(barrier.values(), ss):\n",
+    "        xlo, xhi, ylo, yhi, zlo, zhi = b.bounds\n",
+    "        ax.axvspan(zlo, zhi, color=\"g\", alpha=0.1 + 0.6 * si / ss.max())\n",
+    "\n",
+    "    ls = [\n",
+    "        ax.plot(\n",
+    "            solver.z,\n",
+    "            np.full_like(\n",
+    "                solver.z,\n",
+    "                np.nan,\n",
+    "            ),\n",
+    "            c=\"r\",\n",
+    "        )[0]\n",
+    "        for ax in axs\n",
+    "    ]\n",
+    "\n",
+    "\n",
+    "def animate(frame, ls, fields, axs):\n",
+    "    fig.gca()\n",
+    "    axs[0].set_title(f\"frame {frame:6d}\")\n",
+    "    # field\n",
+    "    for li, (\n",
+    "        ki,\n",
+    "        vi,\n",
+    "    ) in zip(ls, fields.items()):\n",
+    "        li.set(\n",
+    "            data=(solver.z, vi.values[frame]),\n",
+    "        )\n",
+    "    return ls\n",
+    "\n",
+    "\n",
+    "anim = matplotlib.animation.FuncAnimation(\n",
+    "    fig,\n",
+    "    lambda frame: animate(frame, ls, fields, axs),\n",
+    "    frames=len(vi.values),\n",
+    ")\n",
+    "anim.save(\"notebooks/data/003_movie.gif\")"
    ]
   },
   {
@@ -421,17 +513,23 @@
     }
    ],
    "source": [
-    "def metric_area( f, ):\n",
+    "def metric_area(\n",
+    "    f,\n",
+    "):\n",
     "    return np.sum(np.abs(f))\n",
     "\n",
-    "def metric_length( f, ):\n",
+    "\n",
+    "def metric_length(\n",
+    "    f,\n",
+    "):\n",
     "    df = np.diff(f)\n",
-    "    return np.sum(np.sqrt(1. + df*df))/len(df) - 1\n",
+    "    return np.sum(np.sqrt(1.0 + df * df)) / len(df) - 1\n",
+    "\n",
     "\n",
     "for vi in fields.values():\n",
-    "    vi.area = np.array([ metric_area(fs) for fs in vi.values ])\n",
+    "    vi.area = np.array([metric_area(fs) for fs in vi.values])\n",
     "    vi.area /= vi.area.max()\n",
-    "    vi.length = np.array([ metric_length(fs) for fs in vi.values ])\n",
+    "    vi.length = np.array([metric_length(fs) for fs in vi.values])\n",
     "    vi.length /= vi.length.max()"
    ]
   },
@@ -478,11 +576,27 @@
     }
    ],
    "source": [
-    "fig, ( ax1, ax2, ) = plt.subplots( 1, 2, tight_layout=True, )\n",
+    "(\n",
+    "    fig,\n",
+    "    (\n",
+    "        ax1,\n",
+    "        ax2,\n",
+    "    ),\n",
+    ") = plt.subplots(\n",
+    "    1,\n",
+    "    2,\n",
+    "    tight_layout=True,\n",
+    ")\n",
     "\n",
     "for ki, vi in fields.items():\n",
-    "    ax1.plot( vi.area, label=ki, )\n",
-    "    ax2.plot( vi.length, label=ki, )\n",
+    "    ax1.plot(\n",
+    "        vi.area,\n",
+    "        label=ki,\n",
+    "    )\n",
+    "    ax2.plot(\n",
+    "        vi.length,\n",
+    "        label=ki,\n",
+    "    )\n",
     "\n",
     "ax1.legend(), ax2.legend()"
    ]
diff --git a/notebooks/004_Wakefield_simulation_and_extrapolation.ipynb b/notebooks/004_Wakefield_simulation_and_extrapolation.ipynb
index 37b7d7e..329e5fe 100644
--- a/notebooks/004_Wakefield_simulation_and_extrapolation.ipynb
+++ b/notebooks/004_Wakefield_simulation_and_extrapolation.ipynb
@@ -24,11 +24,11 @@
     "import matplotlib.pyplot as plt\n",
     "\n",
     "from wakis import SolverFIT3D\n",
-    "from wakis import GridFIT3D \n",
+    "from wakis import GridFIT3D\n",
     "from wakis import WakeSolver\n",
     "\n",
     "%matplotlib ipympl\n",
-    "pv.set_jupyter_backend('client')"
+    "pv.set_jupyter_backend(\"client\")"
    ]
   },
   {
@@ -62,17 +62,17 @@
    "source": [
     "# ---------- Domain setup ---------\n",
     "# Read geometry -change path if errors are found!\n",
-    "stl_cavity = 'notebooks/data/002_vacuum_cavity.stl' \n",
-    "stl_shell = 'notebooks/data/002_lossymetal_shell.stl'\n",
+    "stl_cavity = \"notebooks/data/002_vacuum_cavity.stl\"\n",
+    "stl_shell = \"notebooks/data/002_lossymetal_shell.stl\"\n",
     "\n",
     "# Set up geometry & materials dictionaries\n",
-    "stl_solids = {'cavity': stl_cavity, 'shell': stl_shell}\n",
-    "stl_materials = {'cavity': 'vacuum', 'shell': [30, 1.0, 30]}\n",
+    "stl_solids = {\"cavity\": stl_cavity, \"shell\": stl_shell}\n",
+    "stl_materials = {\"cavity\": \"vacuum\", \"shell\": [30, 1.0, 30]}\n",
     "\n",
     "# Domain bounds\n",
     "surf = pv.read(stl_shell) + pv.read(stl_cavity)\n",
     "xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds\n",
-    "Lx, Ly, Lz = (xmax-xmin), (ymax-ymin), (zmax-zmin)\n",
+    "Lx, Ly, Lz = (xmax - xmin), (ymax - ymin), (zmax - zmin)\n",
     "\n",
     "# Number of mesh cells\n",
     "Nx = 80\n",
@@ -80,10 +80,20 @@
     "Nz = 161\n",
     "\n",
     "# set grid and geometry\n",
-    "grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, \n",
-    "                stl_solids=stl_solids, \n",
-    "                stl_materials=stl_materials,\n",
-    "                stl_scale=1.0)"
+    "grid = GridFIT3D(\n",
+    "    xmin,\n",
+    "    xmax,\n",
+    "    ymin,\n",
+    "    ymax,\n",
+    "    zmin,\n",
+    "    zmax,\n",
+    "    Nx,\n",
+    "    Ny,\n",
+    "    Nz,\n",
+    "    stl_solids=stl_solids,\n",
+    "    stl_materials=stl_materials,\n",
+    "    stl_scale=1.0,\n",
+    ")"
    ]
   },
   {
@@ -124,14 +134,13 @@
    ],
    "source": [
     "# boundary conditions\n",
-    "bc_low=['pec', 'pec', 'pml']\n",
-    "bc_high=['pec', 'pec', 'pml']\n",
+    "bc_low = [\"pec\", \"pec\", \"pml\"]\n",
+    "bc_high = [\"pec\", \"pec\", \"pml\"]\n",
     "\n",
-    "n_pml = 10 # number of PML layers\n",
-    "solver = SolverFIT3D(grid, \n",
-    "                     bc_low=bc_low, bc_high=bc_high, \n",
-    "                     use_stl=True, bg='pec',\n",
-    "                     n_pml=n_pml)"
+    "n_pml = 10  # number of PML layers\n",
+    "solver = SolverFIT3D(\n",
+    "    grid, bc_low=bc_low, bc_high=bc_high, use_stl=True, bg=\"pec\", n_pml=n_pml\n",
+    ")"
    ]
   },
   {
@@ -156,26 +165,34 @@
    "source": [
     "# ------------ Beam source ----------------\n",
     "# Beam parameters\n",
-    "sigmaz = 10e-2      #[m] -> 2 GHz\n",
-    "q = 1e-9            #[C]\n",
-    "beta = 1.0          # beam beta \n",
-    "xs = 0.             # x source position [m]\n",
-    "ys = 0.             # y source position [m]\n",
-    "xt = 0.             # x test position [m]\n",
-    "yt = 0.             # y test position [m]\n",
-    "# [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s] \n",
+    "sigmaz = 10e-2  # [m] -> 2 GHz\n",
+    "q = 1e-9  # [C]\n",
+    "beta = 1.0  # beam beta\n",
+    "xs = 0.0  # x source position [m]\n",
+    "ys = 0.0  # y source position [m]\n",
+    "xt = 0.0  # x test position [m]\n",
+    "yt = 0.0  # y test position [m]\n",
+    "# [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]\n",
     "\n",
     "\n",
     "# ----------- Solver  setup  ----------\n",
     "# Wakefield post-processor\n",
-    "wakelength = 10. # [m] -> Partially decayed\n",
+    "wakelength = 10.0  # [m] -> Partially decayed\n",
     "skip_cells = n_pml + 2  # no. cells to skip from wake integration (>= PML cells)\n",
     "\n",
-    "wake = WakeSolver(q=q, sigmaz=sigmaz, beta=beta,\n",
-    "                xsource=xs, ysource=ys, xtest=xt, ytest=yt,\n",
-    "                skip_cells=skip_cells, wakelength=wakelength,\n",
-    "                results_folder='notebooks/004_results/',\n",
-    "                Ez_file='notebooks/004_results/Ez.h5',)"
+    "wake = WakeSolver(\n",
+    "    q=q,\n",
+    "    sigmaz=sigmaz,\n",
+    "    beta=beta,\n",
+    "    xsource=xs,\n",
+    "    ysource=ys,\n",
+    "    xtest=xt,\n",
+    "    ytest=yt,\n",
+    "    skip_cells=skip_cells,\n",
+    "    wakelength=wakelength,\n",
+    "    results_folder=\"notebooks/004_results/\",\n",
+    "    Ez_file=\"notebooks/004_results/Ez.h5\",\n",
+    ")"
    ]
   },
   {
@@ -192,9 +209,7 @@
    "outputs": [],
    "source": [
     "if False:\n",
-    "    solver.wakesolve(wakelength=wakelength, \n",
-    "                    wake=wake, \n",
-    "                    plot=False)"
+    "    solver.wakesolve(wakelength=wakelength, wake=wake, plot=False)"
    ]
   },
   {
@@ -292,14 +307,14 @@
     }
    ],
    "source": [
-    "fig, ax = plt.subplots(2,1, figsize=[8,8], dpi=100)\n",
-    "ax[0].plot(wake.s*1e2, wake.WP, c='r', lw=1.5, label='Wakis')\n",
-    "ax[0].set_xlabel('s [cm]')\n",
-    "ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='r')\n",
+    "fig, ax = plt.subplots(2, 1, figsize=[8, 8], dpi=100)\n",
+    "ax[0].plot(wake.s * 1e2, wake.WP, c=\"r\", lw=1.5, label=\"Wakis\")\n",
+    "ax[0].set_xlabel(\"s [cm]\")\n",
+    "ax[0].set_ylabel(\"Longitudinal wake potential [V/pC]\", color=\"r\")\n",
     "\n",
-    "ax[1].plot(wake.f*1e-9, np.abs(wake.Z), c='b', lw=1.5, label='Wakis')\n",
-    "ax[1].set_xlabel('f [GHz]')\n",
-    "ax[1].set_ylabel('Longitudinal impedance [Abs][$\\Omega$]', color='b')\n",
+    "ax[1].plot(wake.f * 1e-9, np.abs(wake.Z), c=\"b\", lw=1.5, label=\"Wakis\")\n",
+    "ax[1].set_xlabel(\"f [GHz]\")\n",
+    "ax[1].set_ylabel(\"Longitudinal impedance [Abs][$\\Omega$]\", color=\"b\")\n",
     "\n",
     "fig.tight_layout()"
    ]
@@ -364,10 +379,16 @@
    ],
    "source": [
     "# get bounds for the Differential Evolution fitting\n",
-    "bounds = wake.get_SmartBounds(freq_data=wake.f, impedance_data=wake.Z,\n",
-    "                        minimum_peak_height=500, distance=3, inspect_bounds=True,\n",
-    "                        Rs_bounds=[0.8, 10], Q_bounds=[0.5, 5], fres_bounds=[-0.01e9, +0.01e9]\n",
-    "                        )"
+    "bounds = wake.get_SmartBounds(\n",
+    "    freq_data=wake.f,\n",
+    "    impedance_data=wake.Z,\n",
+    "    minimum_peak_height=500,\n",
+    "    distance=3,\n",
+    "    inspect_bounds=True,\n",
+    "    Rs_bounds=[0.8, 10],\n",
+    "    Q_bounds=[0.5, 5],\n",
+    "    fres_bounds=[-0.01e9, +0.01e9],\n",
+    ")"
    ]
   },
   {
@@ -546,11 +567,21 @@
     }
    ],
    "source": [
-    "DE_model = wake.get_DEmodel_fitting(freq_data=wake.f, impedance_data=wake.Z, \n",
-    "                                    plane='longitudinal', dim='z', \n",
-    "                                    parameterBounds=bounds.parameterBounds, N_resonators=bounds.N_resonators, \n",
-    "                                    DE_kernel='CMAES', maxiter=1e5, cmaes_sigma=0.01, popsize=150, tol=1e-3,\n",
-    "                                    use_minimization=True, minimization_margin=[0.3, 0.2, 0.01])"
+    "DE_model = wake.get_DEmodel_fitting(\n",
+    "    freq_data=wake.f,\n",
+    "    impedance_data=wake.Z,\n",
+    "    plane=\"longitudinal\",\n",
+    "    dim=\"z\",\n",
+    "    parameterBounds=bounds.parameterBounds,\n",
+    "    N_resonators=bounds.N_resonators,\n",
+    "    DE_kernel=\"CMAES\",\n",
+    "    maxiter=1e5,\n",
+    "    cmaes_sigma=0.01,\n",
+    "    popsize=150,\n",
+    "    tol=1e-3,\n",
+    "    use_minimization=True,\n",
+    "    minimization_margin=[0.3, 0.2, 0.01],\n",
+    ")"
    ]
   },
   {
@@ -567,8 +598,13 @@
    "outputs": [],
    "source": [
     "from scipy.constants import c as c_light\n",
-    "s, wake_potential = wake.get_extrapolated_wake(wakelength=100, sigma=sigmaz/c_light, use_minimization=True)\n",
-    "t, wake_function = wake.get_extrapolated_wake_function(wakelength=100, use_minimization=True)\n",
+    "\n",
+    "s, wake_potential = wake.get_extrapolated_wake(\n",
+    "    wakelength=100, sigma=sigmaz / c_light, use_minimization=True\n",
+    ")\n",
+    "t, wake_function = wake.get_extrapolated_wake_function(\n",
+    "    wakelength=100, use_minimization=True\n",
+    ")\n",
     "f, impedance = wake.get_extrapolated_impedance(wakelength=100, use_minimization=True)"
    ]
   },
@@ -604,20 +640,29 @@
     }
    ],
    "source": [
+    "fig, ax = plt.subplots(2, 1, figsize=[8, 8], dpi=100)\n",
+    "ax[0].plot(wake.s * 1e2, wake.WP, c=\"r\", lw=1.5, label=\"Wakis\")\n",
+    "ax[0].plot(\n",
+    "    s * 1e2, wake_potential, c=\"r\", lw=3, alpha=0.5, label=\"Wakis DE extrapolation\"\n",
+    ")\n",
+    "ax[0].set_xlabel(\"s [cm]\")\n",
+    "ax[0].set_ylabel(\"Longitudinal wake potential [V/pC]\", color=\"r\")\n",
     "\n",
-    "fig, ax = plt.subplots(2,1, figsize=[8,8], dpi=100)\n",
-    "ax[0].plot(wake.s*1e2, wake.WP, c='r', lw=1.5, label='Wakis')\n",
-    "ax[0].plot(s*1e2, wake_potential, c='r', lw=3, alpha=0.5, label='Wakis DE extrapolation')\n",
-    "ax[0].set_xlabel('s [cm]')\n",
-    "ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='r')\n",
-    "\n",
-    "ax[1].plot(wake.f*1e-9, np.real(wake.Z), c='b', lw=1.5, label='Wakis - Re')\n",
-    "ax[1].plot(wake.f*1e-9, np.imag(wake.Z), c='b', lw=1.5, ls='--', label='Wakis - Imag')\n",
+    "ax[1].plot(wake.f * 1e-9, np.real(wake.Z), c=\"b\", lw=1.5, label=\"Wakis - Re\")\n",
+    "ax[1].plot(wake.f * 1e-9, np.imag(wake.Z), c=\"b\", lw=1.5, ls=\"--\", label=\"Wakis - Imag\")\n",
     "\n",
-    "ax[1].plot(f*1e-9, np.real(impedance), c='b', lw=3, alpha=0.5, label='Wakis DE - Re')\n",
-    "ax[1].plot(f*1e-9, np.imag(impedance), c='b', lw=3, ls='--', alpha=0.5, label='Wakis DE - Imag')\n",
-    "ax[1].set_xlabel('f [GHz]')\n",
-    "ax[1].set_ylabel('Longitudinal impedance [Abs][$\\Omega$]', color='b')\n",
+    "ax[1].plot(f * 1e-9, np.real(impedance), c=\"b\", lw=3, alpha=0.5, label=\"Wakis DE - Re\")\n",
+    "ax[1].plot(\n",
+    "    f * 1e-9,\n",
+    "    np.imag(impedance),\n",
+    "    c=\"b\",\n",
+    "    lw=3,\n",
+    "    ls=\"--\",\n",
+    "    alpha=0.5,\n",
+    "    label=\"Wakis DE - Imag\",\n",
+    ")\n",
+    "ax[1].set_xlabel(\"f [GHz]\")\n",
+    "ax[1].set_ylabel(\"Longitudinal impedance [Abs][$\\Omega$]\", color=\"b\")\n",
     "\n",
     "fig.tight_layout()"
    ]
@@ -672,12 +717,14 @@
    ],
    "source": [
     "plt.figure(figsize=(10, 6))\n",
-    "DEfitted_wake = np.abs(wake.DE_model.get_impedance_from_fitFunction(wake.f, use_minimization=True))\n",
+    "DEfitted_wake = np.abs(\n",
+    "    wake.DE_model.get_impedance_from_fitFunction(wake.f, use_minimization=True)\n",
+    ")\n",
     "\n",
-    "plt.plot(wake.f, np.abs(wake.Z), lw=5, label='Wakis simulated', color='black')\n",
-    "plt.plot(wake.f, np.abs(DEfitted_wake),  lw=2, label='DE + Min. - Res. fitting')\n",
-    "plt.xlabel('Frequency [Hz]')\n",
-    "plt.ylabel('Impedance [Ohm]')\n",
+    "plt.plot(wake.f, np.abs(wake.Z), lw=5, label=\"Wakis simulated\", color=\"black\")\n",
+    "plt.plot(wake.f, np.abs(DEfitted_wake), lw=2, label=\"DE + Min. - Res. fitting\")\n",
+    "plt.xlabel(\"Frequency [Hz]\")\n",
+    "plt.ylabel(\"Impedance [Ohm]\")\n",
     "plt.legend()"
    ]
   },
diff --git a/notebooks/005_MPI_simulation.ipynb b/notebooks/005_MPI_simulation.ipynb
index 5fef9d1..d1711c0 100644
--- a/notebooks/005_MPI_simulation.ipynb
+++ b/notebooks/005_MPI_simulation.ipynb
@@ -38,6 +38,7 @@
    ],
    "source": [
     "import ipyparallel as ipp\n",
+    "\n",
     "cluster = ipp.Cluster(engines=\"mpi\", n=2).start_and_connect_sync()"
    ]
   },
@@ -464,6 +465,7 @@
    "outputs": [],
    "source": [
     "from IPython.display import HTML\n",
+    "\n",
     "HTML('<img src=\"005_img/005_E.gif\">')"
    ]
   },
@@ -626,7 +628,6 @@
    "source": [
     "import numpy as np\n",
     "import matplotlib.pyplot as plt\n",
-    "import iddefix\n",
     "\n",
     "from wakis import WakeSolver\n",
     "from scipy.constants import c"
@@ -645,7 +646,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "results_folder='results'\n",
+    "results_folder = \"results\"\n",
     "wake = WakeSolver()\n",
     "wake.load_results(results_folder)"
    ]
@@ -667,10 +668,16 @@
    "outputs": [],
    "source": [
     "# get bounds for the Differential Evolution fitting\n",
-    "bounds = wake.get_SmartBounds(freq_data=wake.f, impedance_data=wake.Z,\n",
-    "                        minimum_peak_height=330, distance=20, inspect_bounds=True,\n",
-    "                        Rs_bounds=[0.8, 10], Q_bounds=[0.5, 5], fres_bounds=[-0.01e9, +0.01e9]\n",
-    "                        )"
+    "bounds = wake.get_SmartBounds(\n",
+    "    freq_data=wake.f,\n",
+    "    impedance_data=wake.Z,\n",
+    "    minimum_peak_height=330,\n",
+    "    distance=20,\n",
+    "    inspect_bounds=True,\n",
+    "    Rs_bounds=[0.8, 10],\n",
+    "    Q_bounds=[0.5, 5],\n",
+    "    fres_bounds=[-0.01e9, +0.01e9],\n",
+    ")"
    ]
   },
   {
@@ -686,11 +693,21 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "DE_model = wake.get_DEmodel_fitting(freq_data=wake.f, impedance_data=wake.Z, \n",
-    "                                    plane='longitudinal', dim='z', \n",
-    "                                    parameterBounds=bounds.parameterBounds, N_resonators=bounds.N_resonators, \n",
-    "                                    DE_kernel='CMAES', maxiter=1e5, cmaes_sigma=0.01, popsize=150, tol=1e-3,\n",
-    "                                    use_minimization=True, minimization_margin=[0.3, 0.2, 0.01])"
+    "DE_model = wake.get_DEmodel_fitting(\n",
+    "    freq_data=wake.f,\n",
+    "    impedance_data=wake.Z,\n",
+    "    plane=\"longitudinal\",\n",
+    "    dim=\"z\",\n",
+    "    parameterBounds=bounds.parameterBounds,\n",
+    "    N_resonators=bounds.N_resonators,\n",
+    "    DE_kernel=\"CMAES\",\n",
+    "    maxiter=1e5,\n",
+    "    cmaes_sigma=0.01,\n",
+    "    popsize=150,\n",
+    "    tol=1e-3,\n",
+    "    use_minimization=True,\n",
+    "    minimization_margin=[0.3, 0.2, 0.01],\n",
+    ")"
    ]
   },
   {
@@ -706,37 +723,56 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "#%matplotlib ipympl\n",
+    "# %matplotlib ipympl\n",
     "\n",
     "# Retrieve partially decayed wake potential\n",
-    "WP_pd = DE_model.get_wake_potential(wake.s/c, sigma=10e-2/c, use_minimization=False)\n",
-    "WP_pd_min = DE_model.get_wake_potential(wake.s/c, sigma=10e-2/c)\n",
+    "WP_pd = DE_model.get_wake_potential(wake.s / c, sigma=10e-2 / c, use_minimization=False)\n",
+    "WP_pd_min = DE_model.get_wake_potential(wake.s / c, sigma=10e-2 / c)\n",
     "\n",
     "# Retrieve partially decayed impedance\n",
     "f_pd = np.linspace(0, 1.2e9, 10000)\n",
     "Z_pd = DE_model.get_impedance_from_fitFunction(f_pd, use_minimization=False)\n",
     "Z_pd_min = DE_model.get_impedance_from_fitFunction(f_pd, use_minimization=True)\n",
     "\n",
-    "fig1, ax = plt.subplots(1,2, figsize=[12,4], dpi=150)\n",
-    "\n",
-    "ax[0].plot(wake.s, wake.WP, c='k', alpha=0.8, label='Wakis wl=30 m')\n",
-    "ax[0].plot(wake.s, -WP_pd*1e-12, c='tab:blue', alpha=0.8, lw=1.5, label='DE wake potential')\n",
-    "ax[0].plot(wake.s, -WP_pd_min*1e-12, c='tab:red', alpha=0.6, lw=1.5, label='DE+min wake potential')\n",
-    "ax[0].set_xlabel('s [cm]')\n",
-    "ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='tab:red')\n",
+    "fig1, ax = plt.subplots(1, 2, figsize=[12, 4], dpi=150)\n",
+    "\n",
+    "ax[0].plot(wake.s, wake.WP, c=\"k\", alpha=0.8, label=\"Wakis wl=30 m\")\n",
+    "ax[0].plot(\n",
+    "    wake.s, -WP_pd * 1e-12, c=\"tab:blue\", alpha=0.8, lw=1.5, label=\"DE wake potential\"\n",
+    ")\n",
+    "ax[0].plot(\n",
+    "    wake.s,\n",
+    "    -WP_pd_min * 1e-12,\n",
+    "    c=\"tab:red\",\n",
+    "    alpha=0.6,\n",
+    "    lw=1.5,\n",
+    "    label=\"DE+min wake potential\",\n",
+    ")\n",
+    "ax[0].set_xlabel(\"s [cm]\")\n",
+    "ax[0].set_ylabel(\"Longitudinal wake potential [V/pC]\", color=\"tab:red\")\n",
     "ax[0].legend()\n",
     "\n",
-    "ax[1].plot(wake.f*1e-9, np.real(wake.Z), ls='-', c='k', lw=1.5, label='Real')\n",
-    "#ax[1].plot(f*1e-9, np.imag(Z), ls=':', c='k', lw=1.5, label='Imag')\n",
-    "#ax[1].plot(f*1e-9, np.real(Z_pd), c='tab:blue', label='Abs')\n",
-    "\n",
-    "ax[1].plot(f_pd*1e-9, np.real(Z_pd), ls='-', c='tab:blue', alpha=0.8, lw=1.5, label='DE Real')\n",
-    "#ax[1].plot(f_pd*1e-9, np.imag(Z_pd), ls=':', c='tab:blue', alpha=0.6, lw=1.5, label='DE Imag')\n",
-    "\n",
-    "ax[1].plot(f_pd*1e-9, np.real(Z_pd_min), ls='-', c='tab:red', alpha=0.6, lw=1.5, label='DE+min Real')\n",
-    "\n",
-    "ax[1].set_xlabel('f [GHz]')\n",
-    "ax[1].set_ylabel('Longitudinal impedance [Abs][$\\Omega$]', color='tab:blue')\n",
+    "ax[1].plot(wake.f * 1e-9, np.real(wake.Z), ls=\"-\", c=\"k\", lw=1.5, label=\"Real\")\n",
+    "# ax[1].plot(f*1e-9, np.imag(Z), ls=':', c='k', lw=1.5, label='Imag')\n",
+    "# ax[1].plot(f*1e-9, np.real(Z_pd), c='tab:blue', label='Abs')\n",
+    "\n",
+    "ax[1].plot(\n",
+    "    f_pd * 1e-9, np.real(Z_pd), ls=\"-\", c=\"tab:blue\", alpha=0.8, lw=1.5, label=\"DE Real\"\n",
+    ")\n",
+    "# ax[1].plot(f_pd*1e-9, np.imag(Z_pd), ls=':', c='tab:blue', alpha=0.6, lw=1.5, label='DE Imag')\n",
+    "\n",
+    "ax[1].plot(\n",
+    "    f_pd * 1e-9,\n",
+    "    np.real(Z_pd_min),\n",
+    "    ls=\"-\",\n",
+    "    c=\"tab:red\",\n",
+    "    alpha=0.6,\n",
+    "    lw=1.5,\n",
+    "    label=\"DE+min Real\",\n",
+    ")\n",
+    "\n",
+    "ax[1].set_xlabel(\"f [GHz]\")\n",
+    "ax[1].set_ylabel(\"Longitudinal impedance [Abs][$\\Omega$]\", color=\"tab:blue\")\n",
     "ax[1].legend()\n",
     "\n",
     "fig1.tight_layout()"
@@ -756,12 +792,18 @@
    "outputs": [],
    "source": [
     "# retrieve the wake potential, function and impedance analytically using the resonator formalism\n",
-    "new_wakelength = 100 # [m]\n",
-    "sigmaz = 10e-2 #[m], the one used in the simulation\n",
+    "new_wakelength = 100  # [m]\n",
+    "sigmaz = 10e-2  # [m], the one used in the simulation\n",
     "\n",
-    "s, wake_potential = wake.get_extrapolated_wake(wakelength=new_wakelength, sigma=sigmaz/c, use_minimization=True)\n",
-    "t, wake_function = wake.get_extrapolated_wake_function(wakelength=new_wakelength, use_minimization=True)\n",
-    "f, impedance = wake.get_extrapolated_impedance(wakelength=new_wakelength, use_minimization=True)"
+    "s, wake_potential = wake.get_extrapolated_wake(\n",
+    "    wakelength=new_wakelength, sigma=sigmaz / c, use_minimization=True\n",
+    ")\n",
+    "t, wake_function = wake.get_extrapolated_wake_function(\n",
+    "    wakelength=new_wakelength, use_minimization=True\n",
+    ")\n",
+    "f, impedance = wake.get_extrapolated_impedance(\n",
+    "    wakelength=new_wakelength, use_minimization=True\n",
+    ")"
    ]
   },
   {
@@ -770,20 +812,30 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "fig, ax = plt.subplots(2,1, figsize=[8,8], dpi=100)\n",
-    "ax[0].plot(wake.s*1e2, wake.WP, c='r', lw=1.5, label='Wakis')\n",
-    "ax[0].plot(s*1e2, wake_potential, c='r', lw=3, alpha=0.5, label='Wakis DE extrapolation')\n",
-    "#ax[0].plot(t*c_light*1e2, wake_function/c_light, c='grey', lw=1.5, alpha=0.5, label='Wakis DE extrapolation')\n",
-    "ax[0].set_xlabel('s [cm]')\n",
-    "ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='r')\n",
-    "\n",
-    "ax[1].plot(wake.f*1e-9, np.real(wake.Z), c='b', lw=1.5, label='Wakis - Re')\n",
-    "ax[1].plot(wake.f*1e-9, np.imag(wake.Z), c='b', lw=1.5, ls='--', label='Wakis - Imag')\n",
-    "\n",
-    "ax[1].plot(f*1e-9, np.real(impedance), c='b', lw=3, alpha=0.5, label='Wakis DE - Re')\n",
-    "ax[1].plot(f*1e-9, np.imag(impedance), c='b', lw=3, ls='--', alpha=0.5, label='Wakis DE - Imag')\n",
-    "ax[1].set_xlabel('f [GHz]')\n",
-    "ax[1].set_ylabel('Longitudinal impedance [Abs][$\\Omega$]', color='b')\n",
+    "fig, ax = plt.subplots(2, 1, figsize=[8, 8], dpi=100)\n",
+    "ax[0].plot(wake.s * 1e2, wake.WP, c=\"r\", lw=1.5, label=\"Wakis\")\n",
+    "ax[0].plot(\n",
+    "    s * 1e2, wake_potential, c=\"r\", lw=3, alpha=0.5, label=\"Wakis DE extrapolation\"\n",
+    ")\n",
+    "# ax[0].plot(t*c_light*1e2, wake_function/c_light, c='grey', lw=1.5, alpha=0.5, label='Wakis DE extrapolation')\n",
+    "ax[0].set_xlabel(\"s [cm]\")\n",
+    "ax[0].set_ylabel(\"Longitudinal wake potential [V/pC]\", color=\"r\")\n",
+    "\n",
+    "ax[1].plot(wake.f * 1e-9, np.real(wake.Z), c=\"b\", lw=1.5, label=\"Wakis - Re\")\n",
+    "ax[1].plot(wake.f * 1e-9, np.imag(wake.Z), c=\"b\", lw=1.5, ls=\"--\", label=\"Wakis - Imag\")\n",
+    "\n",
+    "ax[1].plot(f * 1e-9, np.real(impedance), c=\"b\", lw=3, alpha=0.5, label=\"Wakis DE - Re\")\n",
+    "ax[1].plot(\n",
+    "    f * 1e-9,\n",
+    "    np.imag(impedance),\n",
+    "    c=\"b\",\n",
+    "    lw=3,\n",
+    "    ls=\"--\",\n",
+    "    alpha=0.5,\n",
+    "    label=\"Wakis DE - Imag\",\n",
+    ")\n",
+    "ax[1].set_xlabel(\"f [GHz]\")\n",
+    "ax[1].set_ylabel(\"Longitudinal impedance [Abs][$\\Omega$]\", color=\"b\")\n",
     "\n",
     "fig.tight_layout()"
    ]
diff --git a/notebooks/006_dipolarWakefield_mesh_refinement.ipynb b/notebooks/006_dipolarWakefield_mesh_refinement.ipynb
index 5591ac2..7fc0c1e 100644
--- a/notebooks/006_dipolarWakefield_mesh_refinement.ipynb
+++ b/notebooks/006_dipolarWakefield_mesh_refinement.ipynb
@@ -43,34 +43,38 @@
    "outputs": [],
    "source": [
     "# Generate beam pipe\n",
-    "r_pipe = 24e-3      # pipe radius [m]\n",
-    "l_pipe = 320e-3     # pipe length [m]\n",
-    "pipe = pv.Cylinder(center=(0,0,0), direction=(0,0,1), radius=r_pipe, height=l_pipe)\n",
+    "r_pipe = 24e-3  # pipe radius [m]\n",
+    "l_pipe = 320e-3  # pipe length [m]\n",
+    "pipe = pv.Cylinder(center=(0, 0, 0), direction=(0, 0, 1), radius=r_pipe, height=l_pipe)\n",
     "\n",
     "# Generate bellow convolutions\n",
     "r_conv = 30e-3  # convolution radius [m]\n",
     "l_conv = 4e-3  # length of each convolution [m]\n",
-    "n_conv = 15      # number of convolutions\n",
+    "n_conv = 15  # number of convolutions\n",
     "l_between_conv = 4e-3  # length between convolutions [m]\n",
-    "z_start = n_conv//2*(l_conv + l_between_conv) - l_conv # start of the convolutions [m]\n",
+    "z_start = (\n",
+    "    n_conv // 2 * (l_conv + l_between_conv) - l_conv\n",
+    ")  # start of the convolutions [m]\n",
     "convolutions = []\n",
     "\n",
     "for n in range(n_conv):\n",
-    "    z_start_n_conv = -z_start+n*(l_conv+l_between_conv)\n",
-    "    conv = pv.Cylinder(center=(0,0,z_start_n_conv), # center of the convolution\n",
-    "                       direction=(0,0,1),           # z-direction\n",
-    "                       radius=r_conv,\n",
-    "                       height=l_conv)\n",
+    "    z_start_n_conv = -z_start + n * (l_conv + l_between_conv)\n",
+    "    conv = pv.Cylinder(\n",
+    "        center=(0, 0, z_start_n_conv),  # center of the convolution\n",
+    "        direction=(0, 0, 1),  # z-direction\n",
+    "        radius=r_conv,\n",
+    "        height=l_conv,\n",
+    "    )\n",
     "    convolutions.append(conv)  # append to list\n",
     "\n",
     "# Sum the generated geometry\n",
-    "pipe = pipe.triangulate()                          # triangulate pipe\n",
+    "pipe = pipe.triangulate()  # triangulate pipe\n",
     "convolutions = np.sum(convolutions).triangulate()  # triangulate convolutions\n",
     "bellow = pipe | convolutions  # union of meshes without internal faces\n",
     "\n",
     "# Save it to STL file\n",
-    "stl_file = 'data/006_LHC_Bellow_generated.stl'\n",
-    "bellow.save(stl_file)               #save in [m]\n",
+    "stl_file = \"data/006_LHC_Bellow_generated.stl\"\n",
+    "bellow.save(stl_file)  # save in [m]\n",
     "# bellow.scale(1e3).save(stl_file)  #save in [mm]"
    ]
   },
@@ -100,8 +104,8 @@
    "source": [
     "# ---------- Domain setup ---------\n",
     "# Set up geometry & materials dictionaries\n",
-    "stl_solids = {'bellow': stl_file}\n",
-    "stl_materials = {'bellow': 'vacuum'}\n",
+    "stl_solids = {\"bellow\": stl_file}\n",
+    "stl_materials = {\"bellow\": \"vacuum\"}\n",
     "\n",
     "# Domain bounds\n",
     "xmin, xmax, ymin, ymax, zmin, zmax = bellow.bounds\n",
@@ -110,7 +114,7 @@
     "Nx = 60\n",
     "Ny = 60\n",
     "Nz = 400\n",
-    "print(f'Total number of mesh cells: {Nx*Ny*Nz}')\n",
+    "print(f\"Total number of mesh cells: {Nx * Ny * Nz}\")\n",
     "\n",
     "# set grid and geometry\n",
     "grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz,\n",
@@ -148,7 +152,7 @@
    "outputs": [],
    "source": [
     "# [OPTIONAL] Save grid to HDF5 file\n",
-    "grid.save_to_h5('grid.h5')"
+    "grid.save_to_h5(\"grid.h5\")"
    ]
   },
   {
@@ -159,7 +163,7 @@
    "source": [
     "# [OPTIONAL] Load grid from HDF5 file or re-instantiate grid from file\n",
     "# grid.load_from_h5('data/006_bellow_grid.h5')\n",
-    "grid = GridFIT3D(load_from_h5='grid.h5', verbose=2)"
+    "grid = GridFIT3D(load_from_h5=\"grid.h5\", verbose=2)"
    ]
   },
   {
@@ -169,7 +173,7 @@
    "outputs": [],
    "source": [
     "# Inspect the cells occupied by the imported solid\n",
-    "grid.plot_stl_mask(stl_solid='bellow', stl_opacity=0.2, ymax=0)"
+    "grid.plot_stl_mask(stl_solid=\"bellow\", stl_opacity=0.2, ymax=0)"
    ]
   },
   {
@@ -186,17 +190,19 @@
    "outputs": [],
    "source": [
     "# boundary conditions\n",
-    "bc_low=['pec', 'pec', 'pml']\n",
-    "bc_high=['pec', 'pec', 'pml']\n",
+    "bc_low = [\"pec\", \"pec\", \"pml\"]\n",
+    "bc_high = [\"pec\", \"pec\", \"pml\"]\n",
     "\n",
-    "n_pml = 10 # number of PML layers\n",
-    "solver = SolverFIT3D(grid,\n",
-    "                     bc_low=bc_low, bc_high=bc_high,\n",
-    "                     use_stl=True,\n",
-    "                     bg='pec',  # background material\n",
-    "                     n_pml=n_pml,\n",
-    "                     dtype=np.float32,\n",
-    "                     )"
+    "n_pml = 10  # number of PML layers\n",
+    "solver = SolverFIT3D(\n",
+    "    grid,\n",
+    "    bc_low=bc_low,\n",
+    "    bc_high=bc_high,\n",
+    "    use_stl=True,\n",
+    "    bg=\"pec\",  # background material\n",
+    "    n_pml=n_pml,\n",
+    "    dtype=np.float32,\n",
+    ")"
    ]
   },
   {
@@ -221,26 +227,34 @@
    "source": [
     "# ------------ Beam source ----------------\n",
     "# Beam parameters\n",
-    "sigmaz = 30e-3      #[m] 50mm -> 2 GHz\n",
-    "q = 1e-9            #[C]\n",
-    "beta = 1.0          # beam beta\n",
-    "xs = 8e-3           # x source position [m]\n",
-    "ys = 0.             # y source position [m]\n",
-    "xt = 0.             # x test position [m]\n",
-    "yt = 0.             # y test position [m]\n",
+    "sigmaz = 30e-3  # [m] 50mm -> 2 GHz\n",
+    "q = 1e-9  # [C]\n",
+    "beta = 1.0  # beam beta\n",
+    "xs = 8e-3  # x source position [m]\n",
+    "ys = 0.0  # y source position [m]\n",
+    "xt = 0.0  # x test position [m]\n",
+    "yt = 0.0  # y test position [m]\n",
     "# [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]\n",
     "\n",
     "# ----------- Solver  setup  ----------\n",
     "# Wakefield post-processor\n",
-    "wakelength = 10. # [m] -> Partially decayed\n",
+    "wakelength = 10.0  # [m] -> Partially decayed\n",
     "skip_cells = n_pml + 10  # no. cells to skip from wake integration (>= PML cells)\n",
     "\n",
-    "results_folder = f'006_results_{int(sigmaz*1e3)}/'\n",
-    "wake = WakeSolver(q=q, sigmaz=sigmaz, beta=beta,\n",
-    "                xsource=xs, ysource=ys, xtest=xt, ytest=yt,\n",
-    "                skip_cells=skip_cells, wakelength=wakelength,\n",
-    "                results_folder=results_folder,\n",
-    "                Ez_file=results_folder+'Ez.h5',)"
+    "results_folder = f\"006_results_{int(sigmaz * 1e3)}/\"\n",
+    "wake = WakeSolver(\n",
+    "    q=q,\n",
+    "    sigmaz=sigmaz,\n",
+    "    beta=beta,\n",
+    "    xsource=xs,\n",
+    "    ysource=ys,\n",
+    "    xtest=xt,\n",
+    "    ytest=yt,\n",
+    "    skip_cells=skip_cells,\n",
+    "    wakelength=wakelength,\n",
+    "    results_folder=results_folder,\n",
+    "    Ez_file=results_folder + \"Ez.h5\",\n",
+    ")"
    ]
   },
   {
@@ -251,21 +265,28 @@
    "source": [
     "# Plot settings\n",
     "import os\n",
-    "if not os.path.exists(results_folder+'img/'):\n",
-    "    os.mkdir(results_folder+'img/')\n",
     "\n",
-    "plotkw = {'title':results_folder+'img/Ez',\n",
-    "            'add_patch':'bellow', 'patch_alpha':0.3,\n",
-    "            'vmin':-1e4, 'vmax':1e4,\n",
-    "            'plane': [int(grid.Nx/2), slice(0, grid.Ny), slice(0, grid.Nz)],}\n",
+    "if not os.path.exists(results_folder + \"img/\"):\n",
+    "    os.mkdir(results_folder + \"img/\")\n",
     "\n",
-    "solver.wakesolve(wakelength=wakelength,\n",
-    "                 wake=wake,\n",
-    "                 plot=False,\n",
-    "                 plot_from=1000,\n",
-    "                 plot_every=50,\n",
-    "                 plot_until=6000,\n",
-    "                 **plotkw)"
+    "plotkw = {\n",
+    "    \"title\": results_folder + \"img/Ez\",\n",
+    "    \"add_patch\": \"bellow\",\n",
+    "    \"patch_alpha\": 0.3,\n",
+    "    \"vmin\": -1e4,\n",
+    "    \"vmax\": 1e4,\n",
+    "    \"plane\": [int(grid.Nx / 2), slice(0, grid.Ny), slice(0, grid.Nz)],\n",
+    "}\n",
+    "\n",
+    "solver.wakesolve(\n",
+    "    wakelength=wakelength,\n",
+    "    wake=wake,\n",
+    "    plot=False,\n",
+    "    plot_from=1000,\n",
+    "    plot_every=50,\n",
+    "    plot_until=6000,\n",
+    "    **plotkw,\n",
+    ")"
    ]
   },
   {
@@ -284,7 +305,7 @@
    "source": [
     "# Load previously computed results\n",
     "wake = WakeSolver(sigmaz=15e-3, xsource=8e-3)\n",
-    "wake.load_results('006_results_sigma15')\n",
+    "wake.load_results(\"006_results_sigma15\")\n",
     "\n",
     "# Recompute wake potential and impedance (longitudinal and transverse)\n",
     "# Modify the number of cells skip from the boundary during integration\n",
@@ -318,23 +339,23 @@
    "outputs": [],
    "source": [
     "# Plot longitudinal wake potential and impedance\n",
-    "fig1, ax = plt.subplots(2,1, figsize=[8,8], dpi=150)\n",
-    "ax[0].plot(wake.s*1e2, wake.WP, c='tab:red', lw=1.5, label='Wakis')\n",
-    "ax[0].set_xlabel('s [cm]')\n",
-    "ax[0].set_ylabel('Longitudinal wake potential [V/pC]', color='tab:red')\n",
+    "fig1, ax = plt.subplots(2, 1, figsize=[8, 8], dpi=150)\n",
+    "ax[0].plot(wake.s * 1e2, wake.WP, c=\"tab:red\", lw=1.5, label=\"Wakis\")\n",
+    "ax[0].set_xlabel(\"s [cm]\")\n",
+    "ax[0].set_ylabel(\"Longitudinal wake potential [V/pC]\", color=\"tab:red\")\n",
     "ax[0].legend()\n",
-    "ax[0].set_xlim(xmax=wake.wakelength*1e2)\n",
+    "ax[0].set_xlim(xmax=wake.wakelength * 1e2)\n",
     "\n",
-    "ax[1].plot(wake.f*1e-9, np.abs(wake.Z), c='tab:blue', alpha=0.8, lw=2, label='Abs')\n",
-    "ax[1].plot(wake.f*1e-9, np.real(wake.Z), ls='--', c='tab:blue', lw=1.5, label='Real')\n",
-    "ax[1].plot(wake.f*1e-9, np.imag(wake.Z), ls=':', c='tab:blue', lw=1.5, label='Imag')\n",
-    "ax[1].set_xlabel('f [GHz]')\n",
-    "ax[1].set_ylabel(r'Longitudinal impedance [Abs][$\\Omega$]', color='tab:blue')\n",
+    "ax[1].plot(wake.f * 1e-9, np.abs(wake.Z), c=\"tab:blue\", alpha=0.8, lw=2, label=\"Abs\")\n",
+    "ax[1].plot(wake.f * 1e-9, np.real(wake.Z), ls=\"--\", c=\"tab:blue\", lw=1.5, label=\"Real\")\n",
+    "ax[1].plot(wake.f * 1e-9, np.imag(wake.Z), ls=\":\", c=\"tab:blue\", lw=1.5, label=\"Imag\")\n",
+    "ax[1].set_xlabel(\"f [GHz]\")\n",
+    "ax[1].set_ylabel(r\"Longitudinal impedance [Abs][$\\Omega$]\", color=\"tab:blue\")\n",
     "ax[1].legend()\n",
     "\n",
     "fig1.tight_layout()\n",
-    "#fig1.savefig(results_folder+'longitudinal.png')\n",
-    "#plt.show()"
+    "# fig1.savefig(results_folder+'longitudinal.png')\n",
+    "# plt.show()"
    ]
   },
   {
@@ -344,23 +365,25 @@
    "outputs": [],
    "source": [
     "# Plot transverse x wake potential and impedance\n",
-    "fig2, ax = plt.subplots(2,1, figsize=[8,8], dpi=150)\n",
-    "ax[0].plot(wake.s*1e2, wake.WPx, c='tab:orange', lw=1.5, label='Wakis')\n",
-    "ax[0].set_xlabel('s [cm]')\n",
-    "ax[0].set_ylabel('Transverse wake potential X [V/pC]', color='tab:orange')\n",
+    "fig2, ax = plt.subplots(2, 1, figsize=[8, 8], dpi=150)\n",
+    "ax[0].plot(wake.s * 1e2, wake.WPx, c=\"tab:orange\", lw=1.5, label=\"Wakis\")\n",
+    "ax[0].set_xlabel(\"s [cm]\")\n",
+    "ax[0].set_ylabel(\"Transverse wake potential X [V/pC]\", color=\"tab:orange\")\n",
     "ax[0].legend()\n",
-    "ax[0].set_xlim(xmax=wake.wakelength*1e2)\n",
+    "ax[0].set_xlim(xmax=wake.wakelength * 1e2)\n",
     "\n",
-    "ax[1].plot(wake.f*1e-9, np.abs(wake.Zx), c='tab:green', lw=2, label='Abs')\n",
-    "ax[1].plot(wake.f*1e-9, np.real(wake.Zx), c='tab:green', ls='--', lw=1.5, label='Real')\n",
-    "ax[1].plot(wake.f*1e-9, np.imag(wake.Zx), c='tab:green', ls=':', lw=1.5, label='Imag')\n",
-    "ax[1].set_xlabel('f [GHz]')\n",
-    "ax[1].set_ylabel(r'Transverse impedance X [Abs][$\\Omega$]', color='tab:green')\n",
+    "ax[1].plot(wake.f * 1e-9, np.abs(wake.Zx), c=\"tab:green\", lw=2, label=\"Abs\")\n",
+    "ax[1].plot(\n",
+    "    wake.f * 1e-9, np.real(wake.Zx), c=\"tab:green\", ls=\"--\", lw=1.5, label=\"Real\"\n",
+    ")\n",
+    "ax[1].plot(wake.f * 1e-9, np.imag(wake.Zx), c=\"tab:green\", ls=\":\", lw=1.5, label=\"Imag\")\n",
+    "ax[1].set_xlabel(\"f [GHz]\")\n",
+    "ax[1].set_ylabel(r\"Transverse impedance X [Abs][$\\Omega$]\", color=\"tab:green\")\n",
     "ax[1].legend()\n",
     "\n",
     "fig2.tight_layout()\n",
-    "#fig2.savefig(results_folder+'transverse_x.png')\n",
-    "#plt.show()"
+    "# fig2.savefig(results_folder+'transverse_x.png')\n",
+    "# plt.show()"
    ]
   },
   {
@@ -370,23 +393,23 @@
    "outputs": [],
    "source": [
     "# Plot transverse y wake potential and impedance\n",
-    "fig3, ax = plt.subplots(2,1, figsize=[8,8], dpi=150)\n",
-    "ax[0].plot(wake.s*1e2, wake.WPy, c='tab:brown', lw=1.5, label='Wakis')\n",
-    "ax[0].set_xlabel('s [cm]')\n",
-    "ax[0].set_ylabel('Transverse wake potential Y [V/pC]', color='tab:brown')\n",
+    "fig3, ax = plt.subplots(2, 1, figsize=[8, 8], dpi=150)\n",
+    "ax[0].plot(wake.s * 1e2, wake.WPy, c=\"tab:brown\", lw=1.5, label=\"Wakis\")\n",
+    "ax[0].set_xlabel(\"s [cm]\")\n",
+    "ax[0].set_ylabel(\"Transverse wake potential Y [V/pC]\", color=\"tab:brown\")\n",
     "ax[0].legend()\n",
-    "ax[0].set_xlim(xmax=wake.wakelength*1e2)\n",
+    "ax[0].set_xlim(xmax=wake.wakelength * 1e2)\n",
     "\n",
-    "ax[1].plot(wake.f*1e-9, np.abs(wake.Zy), c='tab:pink', lw=2, label='Abs')\n",
-    "ax[1].plot(wake.f*1e-9, np.real(wake.Zy), c='tab:pink', ls='--', lw=1.5, label='Real')\n",
-    "ax[1].plot(wake.f*1e-9, np.imag(wake.Zy), c='tab:pink', ls=':', lw=1.5, label='Imag')\n",
-    "ax[1].set_xlabel('f [GHz]')\n",
-    "ax[1].set_ylabel(r'Transverse impedance Y [Abs][$\\Omega$]', color='tab:pink')\n",
+    "ax[1].plot(wake.f * 1e-9, np.abs(wake.Zy), c=\"tab:pink\", lw=2, label=\"Abs\")\n",
+    "ax[1].plot(wake.f * 1e-9, np.real(wake.Zy), c=\"tab:pink\", ls=\"--\", lw=1.5, label=\"Real\")\n",
+    "ax[1].plot(wake.f * 1e-9, np.imag(wake.Zy), c=\"tab:pink\", ls=\":\", lw=1.5, label=\"Imag\")\n",
+    "ax[1].set_xlabel(\"f [GHz]\")\n",
+    "ax[1].set_ylabel(r\"Transverse impedance Y [Abs][$\\Omega$]\", color=\"tab:pink\")\n",
     "ax[1].legend()\n",
     "\n",
     "fig3.tight_layout()\n",
-    "#fig3.savefig(results_folder+'transverse_y.png')\n",
-    "#plt.show()"
+    "# fig3.savefig(results_folder+'transverse_y.png')\n",
+    "# plt.show()"
    ]
   },
   {
@@ -402,8 +425,8 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "WP_cst = wake.read_txt('data/dipolar_x_wake.txt')\n",
-    "Zx_cst = wake.read_txt('data/dipolar_x_impedance.txt')"
+    "WP_cst = wake.read_txt(\"data/dipolar_x_wake.txt\")\n",
+    "Zx_cst = wake.read_txt(\"data/dipolar_x_impedance.txt\")"
    ]
   },
   {
@@ -412,22 +435,32 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "fig, ax = plt.subplots(2,1, figsize=[8,8], dpi=100)\n",
+    "fig, ax = plt.subplots(2, 1, figsize=[8, 8], dpi=100)\n",
     "\n",
-    "ax[0].plot(WP_cst[0], WP_cst[1], c='k', lw=1.5, label='WPx CST')\n",
+    "ax[0].plot(WP_cst[0], WP_cst[1], c=\"k\", lw=1.5, label=\"WPx CST\")\n",
     "\n",
-    "ax[0].plot(wake.s*1e3, wake.WPx, c='darkgreen', lw=1.5, alpha=0.5, label='WPx Wakis')\n",
-    "ax[0].set_xlabel('s [mm]')\n",
-    "ax[0].set_ylabel('Transverse wake potential X [V/pC]', color='darkgreen')\n",
+    "ax[0].plot(wake.s * 1e3, wake.WPx, c=\"darkgreen\", lw=1.5, alpha=0.5, label=\"WPx Wakis\")\n",
+    "ax[0].set_xlabel(\"s [mm]\")\n",
+    "ax[0].set_ylabel(\"Transverse wake potential X [V/pC]\", color=\"darkgreen\")\n",
     "\n",
-    "ax[1].plot(Zx_cst[0], -1*Zx_cst[1], c='k', lw=1.5, label='Re(Zx) CST')\n",
-    "ax[1].plot(Zx_cst[0], -1*Zx_cst[2], c='k', ls='--', lw=1.5, label='Im(Zx) CST')\n",
+    "ax[1].plot(Zx_cst[0], -1 * Zx_cst[1], c=\"k\", lw=1.5, label=\"Re(Zx) CST\")\n",
+    "ax[1].plot(Zx_cst[0], -1 * Zx_cst[2], c=\"k\", ls=\"--\", lw=1.5, label=\"Im(Zx) CST\")\n",
     "\n",
-    "ax[1].plot(wake.f*1e-9, np.real(wake.Zx), c='g', alpha=0.5, lw=1.5, label='Re(Zx) Wakis')\n",
-    "ax[1].plot(wake.f*1e-9, np.imag(wake.Zx), c='g', ls='--', alpha=0.5, lw=1.5, label='Im(Zx) Wakis')\n",
+    "ax[1].plot(\n",
+    "    wake.f * 1e-9, np.real(wake.Zx), c=\"g\", alpha=0.5, lw=1.5, label=\"Re(Zx) Wakis\"\n",
+    ")\n",
+    "ax[1].plot(\n",
+    "    wake.f * 1e-9,\n",
+    "    np.imag(wake.Zx),\n",
+    "    c=\"g\",\n",
+    "    ls=\"--\",\n",
+    "    alpha=0.5,\n",
+    "    lw=1.5,\n",
+    "    label=\"Im(Zx) Wakis\",\n",
+    ")\n",
     "ax[1].legend()\n",
-    "ax[1].set_xlabel('f [GHz]')\n",
-    "ax[1].set_ylabel(r'Transverse impedance X [Re/Im][$\\Omega$]', color='g')\n",
+    "ax[1].set_xlabel(\"f [GHz]\")\n",
+    "ax[1].set_ylabel(r\"Transverse impedance X [Re/Im][$\\Omega$]\", color=\"g\")\n",
     "\n",
     "fig.tight_layout()"
    ]
diff --git a/pyproject.toml b/pyproject.toml
index ef8f234..bf06379 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,11 +1,80 @@
 [build-system]
-build-backend = 'setuptools.build_meta'
-requires = [
-    'setuptools>=64',
-    'numpy',
-    ]
+requires = ["setuptools>=61.0", "wheel"]
+build-backend = "setuptools.build_meta"
+
+[project]
+name = "wakis"
+dynamic = ["version"]
+description = "3D Electromagnetic Time-Domain wake and impedance solver"
+readme = "README.md"
+requires-python = ">=3.8"
+license = { text = "Apache-2.0" }
+authors = [
+    { name = "Elena de la Fuente et al.", email = "elena.de.la.fuente.garcia@cern.ch" },
+]
+classifiers = [
+    "Development Status :: 4 - Beta",
+    "Programming Language :: Python",
+    "Programming Language :: Python :: 3",
+    "Programming Language :: Python :: 3.8",
+    "Programming Language :: Python :: 3.9",
+    "Programming Language :: Python :: 3.10",
+    "Programming Language :: Python :: 3.11",
+    "Operating System :: OS Independent",
+    "Intended Audience :: Science/Research",
+    "Topic :: Scientific/Engineering :: Physics",
+]
+dependencies = ["numpy<2.0", "scipy", "pyvista", "h5py", "tqdm"]
+
+[project.optional-dependencies]
+notebook = [
+    "pyvista[jupyter]",
+    "jupyterlab",
+    "ipykernel",
+    "ipywidgets",
+    "matplotlib",
+]
+gpu = ["cupy"]
+tests = ["pytest", "pytest-cov"]
+docs = [
+    "sphinx",
+    "sphinx_rtd_theme",
+    "readthedocs-sphinx-search",
+    "sphinx-copybutton",
+    "myst-parser>=0.18.1",
+    "sphinx-design",
+    "sphinx-last-updated-by-git",
+    "matplotlib>=3.4.0",
+]
+dev = ["build", "twine"]
+
+full = ["wakis[notebook, tests, docs]"]
+full-gpu = ["wakis[notebook, tests, docs, gpu]"]
+
+[project.urls]
+Homepage = "https://wakis.readthedocs.io/"
+"Bug Tracker" = "https://github.com/ImpedanCEI/wakis/issues"
+Documentation = "https://wakis.readthedocs.io/en/latest/index.html"
+Repository = "https://github.com/ImpedanCEI/wakis/wakis"
+
+[tool.setuptools]
+include-package-data = true
+
+[tool.setuptools.packages.find]
+where = ["."]
+
+[tool.setuptools.dynamic]
+version = { attr = "wakis._version.__version__" }
 
 [tool.pytest.ini_options]
+addopts = [
+    "--cov=wakis",
+    "--cov-report=term",
+    "--cov-report=xml",
+]
+testpaths = [
+    "tests",
+]
 markers = [
     "slow: marks tests as slow (deselect with '-m \"not slow\"')",
     "serial",
diff --git a/readthedocs.yml b/readthedocs.yml
index f569e82..bd1248c 100644
--- a/readthedocs.yml
+++ b/readthedocs.yml
@@ -7,7 +7,10 @@ build:
 
 python:
   install:
-    - requirements: docs/requirements.txt
+    - method: pip
+      path: .
+      extra_requirements:
+        - docs
 
 sphinx:
   configuration: docs/conf.py
\ No newline at end of file
diff --git a/release.sh b/release.sh
old mode 100644
new mode 100755
index 22a51a0..e7e3bde
--- a/release.sh
+++ b/release.sh
@@ -1,20 +1,34 @@
-#!/bin/bash
-set -euo pipefail; IFS=$'\n\t'
+#!/usr/bin/env bash
+set -euo pipefail
+IFS=$'\n\t'
+
+# Extract project metadata from pyproject.toml (PEP 621)
+NAME="wakis"
+VER=$(python -c "from wakis._version import __version__; print(__version__)")
 
-NAME=$( python setup.py --name )
-VER=$( python setup.py --version )
 
 echo "========================================================================"
 echo "Tagging $NAME v$VER"
 echo "========================================================================"
 
-git tag -a v$VER
-git push origin v$VER
+git tag -a "v$VER" -m "Release $VER"
+git push origin "v$VER"
+
+echo "========================================================================"
+echo "Building $NAME v$VER"
+echo "========================================================================"
+
+# Clean old artifacts
+rm -rf dist build *.egg-info
+
+# Build wheel + sdist (PEP 517)
+python -m build
 
 echo "========================================================================"
-echo "Releasing $NAME v$VER on PyPI"
+echo "Uploading $NAME v$VER to PyPI"
 echo "========================================================================"
 
-python setup.py sdist
 twine upload dist/*
-rm -r dist/ *.egg-info
\ No newline at end of file
+
+
+rm -r dist/ *.egg-info/ build/
\ No newline at end of file
diff --git a/requirements.txt b/requirements.txt
deleted file mode 100644
index 6411672..0000000
--- a/requirements.txt
+++ /dev/null
@@ -1,140 +0,0 @@
-aiohttp==3.9.5
-aiosignal==1.3.1
-anyio==4.4.0
-argon2-cffi==23.1.0
-argon2-cffi-bindings==21.2.0
-arrow==1.3.0
-asttokens==2.4.1
-async-lru==2.0.4
-async-timeout==4.0.3
-attrs==23.2.0
-Babel==2.15.0
-beautifulsoup4==4.12.3
-bleach==6.1.0
-certifi==2024.6.2
-cffi==1.16.0
-charset-normalizer==3.3.2
-cmocean==4.0.3
-colorcet==3.1.0
-comm==0.2.2
-contourpy==1.2.1
-cycler==0.12.1
-debugpy==1.8.2
-decorator==5.1.1
-defusedxml==0.7.1
-exceptiongroup==1.2.1
-executing==2.0.1
-fastjsonschema==2.20.0
-fonttools==4.53.0
-fqdn==1.5.1
-frozenlist==1.4.1
-h11==0.14.0
-h5py==3.11.0
-httpcore==1.0.5
-httpx==0.27.0
-idna==3.7
-imageio==2.34.2
-importlib_metadata==8.0.0
-importlib_resources==6.4.0
-ipykernel==6.29.4
-ipython==8.18.1
-ipywidgets==8.1.3
-ipympl==0.9.6
-isoduration==20.11.0
-jedi==0.19.1
-Jinja2==3.1.4
-json5==0.9.25
-jsonpointer==3.0.0
-jsonschema==4.22.0
-jsonschema-specifications==2023.12.1
-jupyter-events==0.10.0
-jupyter-lsp==2.2.5
-jupyter_client==8.6.2
-jupyter_core==5.7.2
-jupyter_server==2.14.1
-jupyter_server_proxy==4.2.0
-jupyter_server_terminals==0.5.3
-jupyterlab==4.2.3
-jupyterlab_pygments==0.3.0
-jupyterlab_server==2.27.2
-jupyterlab_widgets==3.0.11
-kiwisolver==1.4.5
-markdown-it-py==3.0.0
-MarkupSafe==2.1.5
-matplotlib==3.9.0
-matplotlib-inline==0.1.7
-mdurl==0.1.2
-meshio==5.3.5
-mistune==3.0.2
-more-itertools==10.3.0
-msgpack==1.0.8
-multidict==6.0.5
-nbclient==0.10.0
-nbconvert==7.16.4
-nbformat==5.10.4
-nest-asyncio==1.6.0
-notebook_shim==0.2.4
-numpy==1.26.4
-overrides==7.7.0
-packaging==24.1
-pandocfilters==1.5.1
-parso==0.8.4
-pexpect==4.9.0
-pillow==10.3.0
-platformdirs==4.2.2
-pooch==1.8.2
-prometheus_client==0.20.0
-prompt_toolkit==3.0.47
-psutil==6.0.0
-ptyprocess==0.7.0
-pure-eval==0.2.2
-pycparser==2.22
-Pygments==2.18.0
-pyparsing==3.1.2
-pytest
-python-dateutil==2.9.0.post0
-python-json-logger==2.0.7
-pyvista==0.45.2
-PyYAML==6.0.1
-pyzmq==26.0.3
-referencing==0.35.1
-requests==2.32.3
-rfc3339-validator==0.1.4
-rfc3986-validator==0.1.1
-rich==13.7.1
-rpds-py==0.18.1
-scipy==1.16.3
-scooby==0.10.0
-Send2Trash==1.8.3
-simpervisor==1.0.0
-six==1.16.0
-sniffio==1.3.1
-soupsieve==2.5
-stack-data==0.6.3
-terminado==0.18.1
-tinycss2==1.3.0
-tomli==2.0.1
-tornado==6.4.1
-tqdm==4.66.4
-traitlets==5.14.3
-trame==3.6.3
-trame-client==3.2.0
-trame-server==3.0.2
-trame-vtk==2.8.9
-trame-vuetify==2.6.0
-types-python-dateutil==2.9.0.20240316
-typing_extensions==4.12.2
-uri-template==1.3.0
-urllib3==2.2.2
-vtk==9.3.0
-wcwidth==0.2.13
-webcolors==24.6.0
-webencodings==0.5.1
-websocket-client==1.8.0
-widgetsnbextension==4.0.11
-wslink==2.1.1
-yarl==1.9.4
-zipp==3.19.2
-iddefix
-bihc
-neffint
diff --git a/setup.py b/setup.py
deleted file mode 100644
index 5552244..0000000
--- a/setup.py
+++ /dev/null
@@ -1,65 +0,0 @@
-# copyright ################################# #
-# This file is part of the wakis Package.     #
-# Copyright (c) CERN, 2024.                   #
-# ########################################### #
-
-from setuptools import setup, find_packages
-from pathlib import Path
-
-# read version
-version_file = Path(__file__).parent / 'wakis/_version.py'
-dd = {}
-with open(version_file.absolute(), 'r') as fp:
-    exec(fp.read(), dd)
-__version__ = dd['__version__']
-
-# read long_description
-long_description = (Path(__file__).parent / "README.md").read_text(encoding="utf-8")
-
-# read requirements.txt for extras_require
-with open('requirements.txt') as f:
-    notebook_required = f.read().splitlines()
-
-setup(
-    name='wakis',
-    version=__version__,
-    description="3D Electromagnetic Time-Domain wake and impedance solver",
-    long_description=long_description,
-    long_description_content_type='text/markdown',
-    url='https://wakis.readthedocs.io/',
-    author='Elena de la Fuente et al.',
-    author_email="elena.de.la.fuente.garcia@cern.ch", 
-    license='Apache 2.0',
-    download_url="https://pypi.python.org/pypi/wakis",
-    project_urls={
-            "Bug Tracker": "https://github.com/ImpedanCEI/wakis/issues",
-            "Documentation": "https://wakis.readthedocs.io/en/latest/index.html",
-            "Source Code": "https://github.com/ImpedanCEI/wakis/wakis",
-        },
-    packages=find_packages(),
-    include_package_data=True,
-    classifiers=[
-        "Development Status :: 4 - Beta",
-        'Programming Language :: Python',
-        'Programming Language :: Python :: 3',
-        'Programming Language :: Python :: 3.8',
-        'Programming Language :: Python :: 3.9',
-        'Programming Language :: Python :: 3.10',
-        'Programming Language :: Python :: 3.11',
-        "Operating System :: OS Independent",
-        "Intended Audience :: Science/Research",
-		"Topic :: Scientific/Engineering :: Physics",
-        ],
-    install_requires=[
-        'numpy<2.0',
-        'scipy',
-        'pyvista',
-        'h5py',
-        'tqdm',
-        ],
-    extras_require={
-        'gpu': ['cupy'],
-        'notebook': notebook_required,
-        },
-    tests_require=['pytest'],
-    )
diff --git a/tests/_test_005_pml_boundaries.py b/tests/_test_005_pml_boundaries.py
index a5fa07f..780614d 100644
--- a/tests/_test_005_pml_boundaries.py
+++ b/tests/_test_005_pml_boundaries.py
@@ -1,82 +1,99 @@
-import sys
 import numpy as np
-import matplotlib.pyplot as plt
 from scipy.constants import c
 from tqdm import tqdm
 
-sys.path.append('../')
+
 import wakis
 
-n_pml_arr = [5,10,15,20,25,30]
-lo_pml_arr = [1e-5,5e-5,]#1.e-4,5.e-4,1.e-3,5.e-3,1.e-2,5.e-2,1.e-1]
+n_pml_arr = [5, 10, 15, 20, 25, 30]
+lo_pml_arr = [
+    1e-5,
+    5e-5,
+]  # 1.e-4,5.e-4,1.e-3,5.e-3,1.e-2,5.e-2,1.e-1]
 
-#for n_pml in n_pml_arr:
+# for n_pml in n_pml_arr:
 for lo_pml in lo_pml_arr:
-
     print("\n---------- Initializing simulation ------------------")
     # Domain bounds and grid
-    xmin, xmax = -1., 1.
-    ymin, ymax = -1., 1.
-    zmin, zmax = 0., 10.
+    xmin, xmax = -1.0, 1.0
+    ymin, ymax = -1.0, 1.0
+    zmin, zmax = 0.0, 10.0
 
     Nx, Ny = 20, 20
     Nz = 200
 
-    grid = wakis.GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, 
-                        Nx, Ny, Nz)
+    grid = wakis.GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz)
 
     # Source
-    amplitude = 100.
+    amplitude = 100.0
     nodes = 15
-    planeWave = wakis.sources.PlaneWave(xs=slice(0, Nx), ys=slice(0,Ny), zs=0, 
-                                        nodes=nodes, beta=1.0, amplitude=amplitude)
-
+    planeWave = wakis.sources.PlaneWave(
+        xs=slice(0, Nx),
+        ys=slice(0, Ny),
+        zs=0,
+        nodes=nodes,
+        beta=1.0,
+        amplitude=amplitude,
+    )
 
     # Boundary conditions and solver
-    bc_low = ['pec', 'pec', 'pec']
-    bc_high = ['pec', 'pec', 'pml']
-
+    bc_low = ["pec", "pec", "pec"]
+    bc_high = ["pec", "pec", "pml"]
 
-    solver = wakis.SolverFIT3D(grid, use_stl=False, 
-                            bc_low=bc_low, bc_high=bc_high,
-                            n_pml=10)
+    solver = wakis.SolverFIT3D(
+        grid, use_stl=False, bc_low=bc_low, bc_high=bc_high, n_pml=10
+    )
 
-    solver.pml_lo = lo_pml #np.sqrt(1.e-4)
-    solver.pml_hi = np.sqrt(1.e-1)
+    solver.pml_lo = lo_pml  # np.sqrt(1.e-4)
+    solver.pml_hi = np.sqrt(1.0e-1)
     solver.pml_func = np.geomspace
     solver.fill_pml_sigmas()
-    solver.update_tensors('sigma')
+    solver.update_tensors("sigma")
 
     # Simulation
-    Nt = int(2.0*(zmax-zmin)/c/solver.dt)
+    Nt = int(2.0 * (zmax - zmin) / c / solver.dt)
 
     for n in tqdm(range(Nt)):
-
-        if n < Nt/4: # Fill half the domain
-            planeWave.update(solver, n*solver.dt)
+        if n < Nt / 4:  # Fill half the domain
+            planeWave.update(solver, n * solver.dt)
 
         solver.one_step()
 
-        if False: #n == 1000:
+        if False:  # n == 1000:
             Hi = solver.H.copy()
             Ei = solver.E.copy()
 
-        if n%3500 == 0 and n !=0:
-            solver.plot2D('Hy', plane='ZY', pos=0.5, cmap='bwr', 
-                interpolation='spline36', n=n, vmin=-amplitude, vmax=amplitude,
-                off_screen=True, title=f'005_img/Hy_lin_n{solver.n_pml}_{solver.pml_lo:.1e}') 
-                    
+        if n % 3500 == 0 and n != 0:
+            solver.plot2D(
+                "Hy",
+                plane="ZY",
+                pos=0.5,
+                cmap="bwr",
+                interpolation="spline36",
+                n=n,
+                vmin=-amplitude,
+                vmax=amplitude,
+                off_screen=True,
+                title=f"005_img/Hy_lin_n{solver.n_pml}_{solver.pml_lo:.1e}",
+            )
+
         if n == 3500:
             Hf = solver.H.copy()
             Ef = solver.E.copy()
 
-    reflection = Hf.get_abs()[:,:,20:].max()
-    results = np.array([[solver.n_pml, 
-                        f"{solver.pml_lo:.1e}", 
-                        f"{solver.pml_hi:.1e}",
-                        solver.pml_func.__name__, 
-                        reflection]], 
-                        dtype=object)
-
-    with open('005_results.txt', "a") as f:
+    reflection = Hf.get_abs()[:, :, 20:].max()
+    results = np.array(
+        [
+            [
+                solver.n_pml,
+                f"{solver.pml_lo:.1e}",
+                f"{solver.pml_hi:.1e}",
+                solver.pml_func.__name__,
+                reflection,
+            ]
+        ],
+        dtype=object,
+    )
+
+    with open("005_results.txt", "a") as f:
         np.savetxt(f, results, fmt="%s", delimiter=" ")
diff --git a/tests/_test_008_planewave_ABC.py b/tests/_test_008_planewave_ABC.py
index 480df04..457415d 100644
--- a/tests/_test_008_planewave_ABC.py
+++ b/tests/_test_008_planewave_ABC.py
@@ -1,16 +1,12 @@
-import os, sys
-import numpy as np
 import pyvista as pv
-import matplotlib.pyplot as plt
 from scipy.constants import c
 
-sys.path.append('../wakis')
-                
+
+
 from wakis import SolverFIT3D
-from wakis import GridFIT3D 
-from wakis.sources import PlaneWave, WavePacket
+from wakis import GridFIT3D
+from wakis.sources import WavePacket
 
-import pytest 
 
 print("\n---------- Initializing simulation ------------------")
 # Number of mesh cells
@@ -19,11 +15,11 @@
 Nz = 200
 
 # Embedded boundaries
-stl_file = 'tests/stl/003_sphere.stl' 
+stl_file = "tests/stl/003_sphere.stl"
 surf = pv.read(stl_file)
 
-stl_solids = {'Sphere': stl_file}
-stl_materials = {'Sphere': [10.0, 1.0]} #dielectric [eps_r, mu_r]
+stl_solids = {"Sphere": stl_file}
+stl_materials = {"Sphere": [10.0, 1.0]}  # dielectric [eps_r, mu_r]
 stl_rotate = [0, 0, 0]
 stl_scale = 1e-3
 
@@ -34,58 +30,96 @@
 
 # Domain bounds and grid
 xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds
-padx, pady, padz = (xmax-xmin)*0.2, (ymax-ymin)*0.2, (zmax-zmin)*1.0
+padx, pady, padz = (xmax - xmin) * 0.2, (ymax - ymin) * 0.2, (zmax - zmin) * 1.0
 
-xmin, ymin, zmin = (xmin-padx), (ymin-pady), (zmin-padz)
-xmax, ymax, zmax = (xmax+padx), (ymax+pady), (zmax+padz)
+xmin, ymin, zmin = (xmin - padx), (ymin - pady), (zmin - padz)
+xmax, ymax, zmax = (xmax + padx), (ymax + pady), (zmax + padz)
 
 global grid
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz, 
-        stl_solids=stl_solids, 
-        stl_rotate=stl_rotate,
-        stl_scale=stl_scale,
-        stl_materials=stl_materials)
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids=stl_solids,
+    stl_rotate=stl_rotate,
+    stl_scale=stl_scale,
+    stl_materials=stl_materials,
+)
 
-# Boundary conditions  
-bc_low=['periodic', 'periodic', 'pec']
-bc_high=['periodic', 'periodic', 'abc']
+# Boundary conditions
+bc_low = ["periodic", "periodic", "pec"]
+bc_high = ["periodic", "periodic", "abc"]
 
 # solver setup
 global solver
-solver = SolverFIT3D(grid, use_stl=False, 
-                     bc_low=bc_low, 
-                     bc_high=bc_high,
-                     bg='vacuum',
-                     dt=0.5*grid.dz/c)
+solver = SolverFIT3D(
+    grid,
+    use_stl=False,
+    bc_low=bc_low,
+    bc_high=bc_high,
+    bg="vacuum",
+    dt=0.5 * grid.dz / c,
+)
 
 # source
-f = 15/((solver.z.max()-solver.z.min())/c)
-#source = PlaneWave(xs=slice(1, Nx), ys=slice(1,Ny), zs=1, 
+f = 15 / ((solver.z.max() - solver.z.min()) / c)
+# source = PlaneWave(xs=slice(1, Nx), ys=slice(1,Ny), zs=1,
 #                    f=f, beta=1.0)
-source = WavePacket(xs=slice(0, Nx), ys=slice(0,Ny), zs=0,
-                    sigmaz=(grid.zmax-grid.zmin)/6, 
-                    f=f, tinj=(grid.zmax-grid.zmin))
+source = WavePacket(
+    xs=slice(0, Nx),
+    ys=slice(0, Ny),
+    zs=0,
+    sigmaz=(grid.zmax - grid.zmin) / 6,
+    f=f,
+    tinj=(grid.zmax - grid.zmin),
+)
 
 # plotting
-kwargs = {'field':'H', 'component':'y',
-                'plane':'ZY', 'pos':0.5, 
-                'title':'tests/008_img/Hy', 'vmin':-2, 'vmax':2,
-                'cmap':'rainbow', 'patch_reverse':False, 
-                'off_screen': True, 'interpolation':'spline36'}
+kwargs = {
+    "field": "H",
+    "component": "y",
+    "plane": "ZY",
+    "pos": 0.5,
+    "title": "tests/008_img/Hy",
+    "vmin": -2,
+    "vmax": 2,
+    "cmap": "rainbow",
+    "patch_reverse": False,
+    "off_screen": True,
+    "interpolation": "spline36",
+}
+
 
 def callback(solver, t):
-    n = int(t/solver.dt)
+    n = int(t / solver.dt)
     if n % 20 == 0:
-        solver.plot1D(field='H', component='y', line='z', pos=[0.6, 0.5, 0.4], 
-               xscale='linear', yscale='linear', xlim=None, #ylim=(-2, 2), 
-               figsize=[8,4], title='tests/008_img/Hy1d', off_screen=True, n=n)
-        
+        solver.plot1D(
+            field="H",
+            component="y",
+            line="z",
+            pos=[0.6, 0.5, 0.4],
+            xscale="linear",
+            yscale="linear",
+            xlim=None,  # ylim=(-2, 2),
+            figsize=[8, 4],
+            title="tests/008_img/Hy1d",
+            off_screen=True,
+            n=n,
+        )
+
         # fig, ax = solver.H.inspect(show=False, handles=True)
         # fig.savefig('tests/008_img/Hy_inspect'+str(n).zfill(5))
         # plt.close(fig)
 
-Nt = int(2.0*(solver.z.max()-solver.z.min())/c/solver.dt+(grid.zmax-grid.zmin)/c/solver.dt)
-solver.emsolve(Nt, source, callback,
-               plot=True,
-               plot_every=20,
-               **kwargs)
+
+Nt = int(
+    2.0 * (solver.z.max() - solver.z.min()) / c / solver.dt
+    + (grid.zmax - grid.zmin) / c / solver.dt
+)
+solver.emsolve(Nt, source, callback, plot=True, plot_every=20, **kwargs)
diff --git a/tests/_test_009_mpithreads.py b/tests/_test_009_mpithreads.py
index f173df5..8d61682 100644
--- a/tests/_test_009_mpithreads.py
+++ b/tests/_test_009_mpithreads.py
@@ -1,77 +1,93 @@
 import subprocess
-sockets, cores = map(int, subprocess.check_output(
-    "lscpu | awk -F: '/Socket\\(s\\)/{s=$2} /Core\\(s\\) per socket/{c=$2} END{print s,c}'",
-    shell=True).split())
-print(f"Sockets={sockets}, Cores/Socket={cores}")
-
+import importlib.util
 import os
+from mpi4py import MPI
+
+sockets, cores = map(
+    int,
+    subprocess.check_output(
+        "lscpu | awk -F: '/Socket\\(s\\)/{s=$2} /Core\\(s\\) per socket/{c=$2} END{print s,c}'",
+        shell=True,
+    ).split(),
+)
+print(f"Sockets={sockets}, Cores/Socket={cores}")
 
 # Set before importing numpy/scipy/mkl modules
-os.environ["OMP_NUM_THREADS"] = str(cores)               # Number of OpenMP threads
+os.environ["OMP_NUM_THREADS"] = str(cores)  # Number of OpenMP threads
 os.environ["KMP_AFFINITY"] = "balanced,granularity=fine"
 
 
-from mpi4py import MPI
-import numpy as np
-from scipy.sparse import csc_matrix as sparse_mat, diags, vstack, hstack
-try:
+import numpy as np  # noqa: E402
+from scipy.sparse import csc_matrix as sparse_mat, diags, vstack, hstack  # noqa: E402
+# noqa: E402
+
+if importlib.util.find_spec("sparse_dot_mkl") is not None:
     from sparse_dot_mkl import csr_matrix, dot_product_mkl
-except: pass
-from threadpoolctl import threadpool_limits
-from threadpoolctl import threadpool_info 
-import timeit
+
+    SPARSE_DOT_MKL_AVAILABLE = True
+else:
+    SPARSE_DOT_MKL_AVAILABLE = False
+
+
+from threadpoolctl import threadpool_info  # noqa: E402
+import timeit  # noqa: E402
 
 comm = MPI.COMM_WORLD
 my_rank = comm.Get_rank()
 p = comm.Get_size()
 
-nt = 1//p #int(os.environ['SLURM_CPUS_PER_TASK']) # num threads per task
-user_api = threadpool_info()[0]['user_api']
-#threadctl = threadpool_limits(limits=nt, user_api='blas')
-#threadctl = threadpool_limits(limits=nt, user_api='openmp')
-N = 80000000//p # Matrix size 
+nt = 1 // p  # int(os.environ['SLURM_CPUS_PER_TASK']) # num threads per task
+user_api = threadpool_info()[0]["user_api"]
+# threadctl = threadpool_limits(limits=nt, user_api='blas')
+# threadctl = threadpool_limits(limits=nt, user_api='openmp')
+N = 80000000 // p  # Matrix size
 
 # Build curl
 Px = diags([-1, 1], [0, 1], shape=(N, N), dtype=np.int8)
 Py = diags([-1, 1], [0, 10], shape=(N, N), dtype=np.int8)
 Pz = diags([-1, 1], [0, 100], shape=(N, N), dtype=np.int8)
-A = vstack([
-                    hstack([sparse_mat((N,N)), -Pz, Py]),
-                    hstack([Pz, sparse_mat((N,N)), -Px]),
-                    hstack([-Py, Px, sparse_mat((N,N))])
-                ], dtype=np.float64)
+A = vstack(
+    [
+        hstack([sparse_mat((N, N)), -Pz, Py]),
+        hstack([Pz, sparse_mat((N, N)), -Px]),
+        hstack([-Py, Px, sparse_mat((N, N))]),
+    ],
+    dtype=np.float64,
+)
 
-B = np.random.rand(3*N) 
+B = np.random.rand(3 * N)
 
-try:
-    print('Using MKL backend')
+if SPARSE_DOT_MKL_AVAILABLE:
+    print("Using MKL backend")
     A = csr_matrix(A)
-except:
-    print('Using Scipy backend')
-    A = A.tocsr()  
+else:
+    print("Using Scipy backend")
+    A = A.tocsr()
 
 print(B.shape)
 
+
 def test_matmul():
-    #with threadpool_limits(limits=nt, user_api='blas'):
-    #print(threadpool_info())
-    #A = np.random.rand(N, N)
-    #B = np.random.rand(1, N)  
-    #C = np.matmul(A, B)
-    
-    try:
-        C = dot_product_mkl(A,B)
-    except:
+    # with threadpool_limits(limits=nt, user_api='blas'):
+    # print(threadpool_info())
+    # A = np.random.rand(N, N)
+    # B = np.random.rand(1, N)
+    # C = np.matmul(A, B)
+
+    if SPARSE_DOT_MKL_AVAILABLE:
+        C = dot_product_mkl(A, B)
+    else:
         C = A.dot(B)
     print(C.shape)
 
-#if my_rank == 0:
+
+# if my_rank == 0:
 n_runs = 10
-t = timeit.timeit("test_matmul()", 
-                  setup="from __main__ import test_matmul", 
-                  number=n_runs)
+t = timeit.timeit(
+    "test_matmul()", setup="from __main__ import test_matmul", number=n_runs
+)
 
-print(f"Rank {my_rank}: Average time over {n_runs} runs: {t/n_runs:.4f} seconds")
+print(f"Rank {my_rank}: Average time over {n_runs} runs: {t / n_runs:.4f} seconds")
 
 
 MPI.Finalize()
diff --git a/tests/_test_010_SIBC.py b/tests/_test_010_SIBC.py
index 3ca81e8..e8f67ee 100644
--- a/tests/_test_010_SIBC.py
+++ b/tests/_test_010_SIBC.py
@@ -1,12 +1,10 @@
 import pyvista as pv
 import numpy as np
-import matplotlib.pyplot as plt 
 
 from wakis import GridFIT3D
-from wakis import SolverFIT3D
 
 # Read solid
-surf = pv.read('stl/007_lossymetal_shell.stl')
+surf = pv.read("stl/007_lossymetal_shell.stl")
 
 # Generate grid
 Nx = 50
@@ -14,26 +12,39 @@
 Nz = 50
 xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds
 
-grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, 
-                Nx, Ny, Nz, 
-                stl_solids={'shell': 'stl/007_lossymetal_shell.stl'},
-                stl_materials={'shell': [1.0, 1.0, 10]},
-                verbose=1)
+grid = GridFIT3D(
+    xmin,
+    xmax,
+    ymin,
+    ymax,
+    zmin,
+    zmax,
+    Nx,
+    Ny,
+    Nz,
+    stl_solids={"shell": "stl/007_lossymetal_shell.stl"},
+    stl_materials={"shell": [1.0, 1.0, 10]},
+    verbose=1,
+)
 
 
 # using numpy gradient
-#mask = np.reshape(grid.grid['shell'], (Nx, Ny, Nz)).astype(int)
-#dsc_dx, dsc_dy, dsc_dz = np.gradient(mask, grid.dx, grid.dy, grid.dz)
-#grad = np.sqrt(dsc_dx**2 + dsc_dy**2 + dsc_dz**2)
-#grid.grid["grad_mag"] = grad.ravel(order="F")
+# mask = np.reshape(grid.grid['shell'], (Nx, Ny, Nz)).astype(int)
+# dsc_dx, dsc_dy, dsc_dz = np.gradient(mask, grid.dx, grid.dy, grid.dz)
+# grad = np.sqrt(dsc_dx**2 + dsc_dy**2 + dsc_dz**2)
+# grid.grid["grad_mag"] = grad.ravel(order="F")
 
 # using pyvista gradient: du/dx, du/dy, du/dz
-grad = np.array(grid.grid.compute_derivative(scalars='shell', gradient='gradient')['gradient'])
-grad = np.sqrt(grad[:, 0]**2 + grad[:, 1]**2 + grad[:, 2]**2)
-grid.grid['grad'] = grad.astype(bool)
+grad = np.array(
+    grid.grid.compute_derivative(scalars="shell", gradient="gradient")["gradient"]
+)
+grad = np.sqrt(grad[:, 0] ** 2 + grad[:, 1] ** 2 + grad[:, 2] ** 2)
+grid.grid["grad"] = grad.astype(bool)
 
 # --- Interactive plotting routine ---
 pl = pv.Plotter()
-pl.add_mesh(grid.grid, scalars=None, style='wireframe', color='grey', opacity=0.2)
-_ = pl.add_mesh_clip_box(grid.grid, scalars="grad", cmap="viridis", rotation_enabled=False)
+pl.add_mesh(grid.grid, scalars=None, style="wireframe", color="grey", opacity=0.2)
+_ = pl.add_mesh_clip_box(
+    grid.grid, scalars="grad", cmap="viridis", rotation_enabled=False
+)
 pl.show()
diff --git a/tests/test_000_imports.py b/tests/test_000_imports.py
index 688d189..5d9a451 100644
--- a/tests/test_000_imports.py
+++ b/tests/test_000_imports.py
@@ -1,5 +1,4 @@
-import os, sys
-import pytest 
+
 
 def test_dependency_imports():
     import scipy 
@@ -9,7 +8,6 @@ def test_dependency_imports():
     from tqdm import tqdm
 
 def test_module_imports():
-    sys.path.append('../wakis')
 
     from wakis import SolverFIT3D
     from wakis import GridFIT3D 
@@ -20,6 +18,4 @@ def test_module_imports():
     from wakis.sources import Beam
     from wakis.sources import PlaneWave
     from wakis.sources import Pulse
-    from wakis.sources import WavePacket
-
-
+    from wakis.sources import WavePacket
\ No newline at end of file
diff --git a/tests/test_001_pec_cubic_cavity.py b/tests/test_001_pec_cubic_cavity.py
index 4f46f87..606c110 100644
--- a/tests/test_001_pec_cubic_cavity.py
+++ b/tests/test_001_pec_cubic_cavity.py
@@ -1,8 +1,8 @@
-import os, sys
+import os
 import numpy as np
 import pyvista as pv
 
-sys.path.append('../wakis')
+
 
 from wakis import SolverFIT3D
 from wakis import GridFIT3D
@@ -10,59 +10,165 @@
 
 import pytest
 
+
 @pytest.mark.slow
 class TestPecCubicCavity:
     # Regression data
-    WP = np.array([-9.95458549e-17, -2.05046155e-14, -3.13946919e-12, -3.06897233e-10,
-       -1.92003072e-08, -7.69621207e-07, -1.97695468e-05, -3.25246046e-04,
-       -3.42179648e-03, -2.29496511e-02, -9.74681785e-02, -2.57605933e-01,
-       -4.00433017e-01, -2.77971803e-01,  1.74965578e-01,  6.06108048e-01,
-        5.93615999e-01,  1.48213195e-01, -3.13849000e-01, -4.18423138e-01,
-       -1.06055653e-01,  3.46718391e-01,  4.61725985e-01,  3.75969195e-02,
-       -4.69307323e-01, -4.22517889e-01,  1.27354182e-01,  4.95498135e-01,
-        2.86543650e-01, -1.93994231e-01, -4.36868927e-01, -2.46039348e-01,
-        2.00696576e-01,  4.77730108e-01,  2.34450998e-01, -3.20973718e-01,
-       -5.21458944e-01, -9.21702645e-02,  4.30032192e-01,  4.24952714e-01,
-       -3.23271769e-02, -4.05244228e-01, -3.54719092e-01,  4.29930706e-02,
-        4.24183971e-01,  3.76540160e-01, -1.24009110e-01, -5.21691624e-01,
-       -3.01353114e-01,  2.80371055e-01,  5.06105865e-01,  1.51118487e-01,
-       -3.21008872e-01, -4.24863392e-01, -1.10982371e-01,  3.19529863e-01,
-        4.50130203e-01,  8.10542918e-02, -4.30801702e-01, -4.55687907e-01,
-        7.42336927e-02,  5.03432059e-01,  3.27840927e-01, -1.83622835e-01,
-       -4.48129076e-01, -2.50575523e-01,  1.85580579e-01,  4.54734769e-01,
-        2.54338635e-01, -2.70248891e-01, -5.22500181e-01, -1.50415469e-01,
-        4.07080605e-01,  4.65165698e-01, -3.17568505e-03, -4.15589815e-01,
-       -3.64899855e-01,  3.59083120e-02,  4.01596031e-01,  3.75713287e-01,
-       -7.75370758e-02, -4.96148372e-01, -3.45729644e-01,  2.34144828e-01,
-        5.27290473e-01,  1.94868331e-01, -3.18596495e-01, -4.42170990e-01,
-       -1.17578617e-01,  3.06112222e-01,  4.35816760e-01,  1.08211242e-01,
-       -3.86427725e-01, -4.71772210e-01,  1.47990082e-02,  4.94782071e-01])
-
-    Z = np.array([-5.24909426e+00   +0.j,  8.16923909e-01   +6.02403378j,
-       -2.06427345e+00   +3.71312638j, -4.10217932e+00  +13.95118407j,
-        2.23378636e+00  +14.14187912j, -5.17574116e+00  +15.86678186j,
-       -1.00358385e+00  +26.794005j  ,  1.37326004e+00  +21.99028187j,
-       -7.10389218e+00  +30.57858605j,  3.05622057e+00  +37.71516299j,
-       -1.95199677e+00  +31.30903732j, -6.53120427e+00  +47.29988326j,
-        6.54902893e+00  +46.49366121j, -7.14109397e+00  +44.00962949j,
-       -2.54551548e+00  +64.83955663j,  7.60232249e+00  +53.80472334j,
-       -1.26928769e+01  +61.90508678j,  5.01436094e+00  +81.51964238j,
-        4.29051965e+00  +61.54320948j, -1.61542604e+01  +86.39397846j,
-        1.51663301e+01  +95.48299727j, -4.94965599e+00  +73.20543895j,
-       -1.41345777e+01 +118.11203214j,  2.53102053e+01 +105.23943652j,
-       -2.07262234e+01  +94.44891956j, -2.36795665e+00 +156.58071027j,
-        3.05472038e+01 +110.65179411j, -4.17823007e+01 +134.21338547j,
-        2.42858032e+01 +199.91670612j,  2.23451222e+01 +114.95217815j,
-       -6.33013844e+01 +207.77796539j,  7.23884153e+01 +244.76270925j,
-       -1.53485068e+01 +130.05803814j, -7.23435365e+01 +347.87989904j,
-        1.53530144e+02 +287.02245535j, -1.23514190e+02 +197.90812683j,
-       -2.61806726e+01 +665.33665972j,  3.12540412e+02 +327.7072119j ,
-       -5.30405716e+02 +579.26803187j,  4.86001847e+02+2327.59151824j,
-        3.23055241e+03 +878.05386917j,  1.87824258e+03-2309.86790488j,
-       -8.08239099e+02-1285.08243448j,  5.88954657e+01 +217.25217304j,
-        3.56057712e+02 -686.69210039j, -4.64168091e+02 -233.95310497j,
-        2.46994361e+02 +172.91480762j,  7.19317366e+01 -481.61037549j,
-       -3.19808635e+02 +104.88892043j,  3.25327940e+02  +79.96383153j])
+    WP = np.array(
+        [
+            -9.95458549e-17,
+            -2.05046155e-14,
+            -3.13946919e-12,
+            -3.06897233e-10,
+            -1.92003072e-08,
+            -7.69621207e-07,
+            -1.97695468e-05,
+            -3.25246046e-04,
+            -3.42179648e-03,
+            -2.29496511e-02,
+            -9.74681785e-02,
+            -2.57605933e-01,
+            -4.00433017e-01,
+            -2.77971803e-01,
+            1.74965578e-01,
+            6.06108048e-01,
+            5.93615999e-01,
+            1.48213195e-01,
+            -3.13849000e-01,
+            -4.18423138e-01,
+            -1.06055653e-01,
+            3.46718391e-01,
+            4.61725985e-01,
+            3.75969195e-02,
+            -4.69307323e-01,
+            -4.22517889e-01,
+            1.27354182e-01,
+            4.95498135e-01,
+            2.86543650e-01,
+            -1.93994231e-01,
+            -4.36868927e-01,
+            -2.46039348e-01,
+            2.00696576e-01,
+            4.77730108e-01,
+            2.34450998e-01,
+            -3.20973718e-01,
+            -5.21458944e-01,
+            -9.21702645e-02,
+            4.30032192e-01,
+            4.24952714e-01,
+            -3.23271769e-02,
+            -4.05244228e-01,
+            -3.54719092e-01,
+            4.29930706e-02,
+            4.24183971e-01,
+            3.76540160e-01,
+            -1.24009110e-01,
+            -5.21691624e-01,
+            -3.01353114e-01,
+            2.80371055e-01,
+            5.06105865e-01,
+            1.51118487e-01,
+            -3.21008872e-01,
+            -4.24863392e-01,
+            -1.10982371e-01,
+            3.19529863e-01,
+            4.50130203e-01,
+            8.10542918e-02,
+            -4.30801702e-01,
+            -4.55687907e-01,
+            7.42336927e-02,
+            5.03432059e-01,
+            3.27840927e-01,
+            -1.83622835e-01,
+            -4.48129076e-01,
+            -2.50575523e-01,
+            1.85580579e-01,
+            4.54734769e-01,
+            2.54338635e-01,
+            -2.70248891e-01,
+            -5.22500181e-01,
+            -1.50415469e-01,
+            4.07080605e-01,
+            4.65165698e-01,
+            -3.17568505e-03,
+            -4.15589815e-01,
+            -3.64899855e-01,
+            3.59083120e-02,
+            4.01596031e-01,
+            3.75713287e-01,
+            -7.75370758e-02,
+            -4.96148372e-01,
+            -3.45729644e-01,
+            2.34144828e-01,
+            5.27290473e-01,
+            1.94868331e-01,
+            -3.18596495e-01,
+            -4.42170990e-01,
+            -1.17578617e-01,
+            3.06112222e-01,
+            4.35816760e-01,
+            1.08211242e-01,
+            -3.86427725e-01,
+            -4.71772210e-01,
+            1.47990082e-02,
+            4.94782071e-01,
+        ]
+    )
+
+    Z = np.array(
+        [
+            -5.24909426e00 + 0.0j,
+            8.16923909e-01 + 6.02403378j,
+            -2.06427345e00 + 3.71312638j,
+            -4.10217932e00 + 13.95118407j,
+            2.23378636e00 + 14.14187912j,
+            -5.17574116e00 + 15.86678186j,
+            -1.00358385e00 + 26.794005j,
+            1.37326004e00 + 21.99028187j,
+            -7.10389218e00 + 30.57858605j,
+            3.05622057e00 + 37.71516299j,
+            -1.95199677e00 + 31.30903732j,
+            -6.53120427e00 + 47.29988326j,
+            6.54902893e00 + 46.49366121j,
+            -7.14109397e00 + 44.00962949j,
+            -2.54551548e00 + 64.83955663j,
+            7.60232249e00 + 53.80472334j,
+            -1.26928769e01 + 61.90508678j,
+            5.01436094e00 + 81.51964238j,
+            4.29051965e00 + 61.54320948j,
+            -1.61542604e01 + 86.39397846j,
+            1.51663301e01 + 95.48299727j,
+            -4.94965599e00 + 73.20543895j,
+            -1.41345777e01 + 118.11203214j,
+            2.53102053e01 + 105.23943652j,
+            -2.07262234e01 + 94.44891956j,
+            -2.36795665e00 + 156.58071027j,
+            3.05472038e01 + 110.65179411j,
+            -4.17823007e01 + 134.21338547j,
+            2.42858032e01 + 199.91670612j,
+            2.23451222e01 + 114.95217815j,
+            -6.33013844e01 + 207.77796539j,
+            7.23884153e01 + 244.76270925j,
+            -1.53485068e01 + 130.05803814j,
+            -7.23435365e01 + 347.87989904j,
+            1.53530144e02 + 287.02245535j,
+            -1.23514190e02 + 197.90812683j,
+            -2.61806726e01 + 665.33665972j,
+            3.12540412e02 + 327.7072119j,
+            -5.30405716e02 + 579.26803187j,
+            4.86001847e02 + 2327.59151824j,
+            3.23055241e03 + 878.05386917j,
+            1.87824258e03 - 2309.86790488j,
+            -8.08239099e02 - 1285.08243448j,
+            5.88954657e01 + 217.25217304j,
+            3.56057712e02 - 686.69210039j,
+            -4.64168091e02 - 233.95310497j,
+            2.46994361e02 + 172.91480762j,
+            7.19317366e01 - 481.61037549j,
+            -3.19808635e02 + 104.88892043j,
+            3.25327940e02 + 79.96383153j,
+        ]
+    )
 
     def test_simulation(self):
         print("\n---------- Initializing simulation ------------------")
@@ -72,76 +178,103 @@ def test_simulation(self):
         Nz = 150
 
         # Embedded boundaries
-        stl_file = 'tests/stl/001_cubic_cavity.stl'
+        stl_file = "tests/stl/001_cubic_cavity.stl"
         surf = pv.read(stl_file)
 
-        stl_solids = {'cavity': stl_file}
-        stl_materials = {'cavity': 'vacuum'}
+        stl_solids = {"cavity": stl_file}
+        stl_materials = {"cavity": "vacuum"}
 
         # Domain bounds
         xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds
 
         # set grid and geometry
         global grid
-        grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz,
-                        stl_solids=stl_solids,
-                        stl_materials=stl_materials)
+        grid = GridFIT3D(
+            xmin,
+            xmax,
+            ymin,
+            ymax,
+            zmin,
+            zmax,
+            Nx,
+            Ny,
+            Nz,
+            stl_solids=stl_solids,
+            stl_materials=stl_materials,
+        )
 
         # Beam parameters
-        beta = 1.          # beam beta
-        sigmaz = 18.5e-3*beta    #[m]
-        q = 1e-9            #[C]
-        xs = 0.             # x source position [m]
-        ys = 0.             # y source position [m]
-        xt = 0.             # x test position [m]
-        yt = 0.             # y test position [m]
+        beta = 1.0  # beam beta
+        sigmaz = 18.5e-3 * beta  # [m]
+        q = 1e-9  # [C]
+        xs = 0.0  # x source position [m]
+        ys = 0.0  # y source position [m]
+        xt = 0.0  # x test position [m]
+        yt = 0.0  # y test position [m]
 
         global wake
         skip_cells = 12  # no. cells to skip in WP integration
-        wake = WakeSolver(q=q, sigmaz=sigmaz, beta=beta,
-                    xsource=xs, ysource=ys, xtest=xt, ytest=yt,
-                    save=False, Ez_file='tests/001_Ez.h5',
-                    skip_cells=skip_cells,
-                    )
+        wake = WakeSolver(
+            q=q,
+            sigmaz=sigmaz,
+            beta=beta,
+            xsource=xs,
+            ysource=ys,
+            xtest=xt,
+            ytest=yt,
+            save=False,
+            Ez_file="tests/001_Ez.h5",
+            skip_cells=skip_cells,
+        )
 
         # boundary conditions
-        bc_low=['pec', 'pec', 'pec']
-        bc_high=['pec', 'pec', 'pec']
+        bc_low = ["pec", "pec", "pec"]
+        bc_high = ["pec", "pec", "pec"]
 
         # set Solver object
-        solver = SolverFIT3D(grid, wake,
-                            bc_low=bc_low, bc_high=bc_high,
-                            use_stl=True, bg='pec')
+        solver = SolverFIT3D(
+            grid, wake, bc_low=bc_low, bc_high=bc_high, use_stl=True, bg="pec"
+        )
 
-        wakelength = 1. #[m]
+        wakelength = 1.0  # [m]
         solver.wakesolve(wakelength=wakelength, save_J=False)
-        os.remove('tests/001_Ez.h5')
+        os.remove("tests/001_Ez.h5")
 
     def test_long_wake_potential(self):
         global wake
         assert np.allclose(wake.WP[::50], self.WP), "Wake potential samples failed"
-        assert np.cumsum(np.abs(wake.WP))[-1] == pytest.approx(1325.6968037037557, 0.1), "Wake potential cumsum failed"
+        assert np.cumsum(np.abs(wake.WP))[-1] == pytest.approx(
+            1325.6968037037557, 0.1
+        ), "Wake potential cumsum failed"
 
     def test_long_impedance(self):
         global wake
-        assert np.allclose(np.abs(wake.Z)[::20], np.abs(self.Z)), "Abs Impedance samples failed"
-        assert np.allclose(np.real(wake.Z)[::20], np.real(self.Z)), "Real Impedance samples failed"
-        assert np.allclose(np.imag(wake.Z)[::20], np.imag(self.Z)), "Imag Impedance samples failed"
-        assert np.cumsum(np.abs(wake.Z))[-1] == pytest.approx(372019.59123029554, 0.1), "Abs Impedance cumsum failed"
+        assert np.allclose(np.abs(wake.Z)[::20], np.abs(self.Z)), (
+            "Abs Impedance samples failed"
+        )
+        assert np.allclose(np.real(wake.Z)[::20], np.real(self.Z)), (
+            "Real Impedance samples failed"
+        )
+        assert np.allclose(np.imag(wake.Z)[::20], np.imag(self.Z)), (
+            "Imag Impedance samples failed"
+        )
+        assert np.cumsum(np.abs(wake.Z))[-1] == pytest.approx(
+            372019.59123029554, 0.1
+        ), "Abs Impedance cumsum failed"
 
     def test_grid_save_to_h5(self):
         global grid
-        grid.save_to_h5('tests/001_grid.h5')
-        assert os.path.exists('tests/001_grid.h5'), "Grid save_to_h5 failed"
+        grid.save_to_h5("tests/001_grid.h5")
+        assert os.path.exists("tests/001_grid.h5"), "Grid save_to_h5 failed"
 
     def test_grid_load_from_h5(self):
         global grid
-        grid2 = GridFIT3D(load_from_h5='tests/001_grid.h5',
-                          verbose=2)
+        grid2 = GridFIT3D(load_from_h5="tests/001_grid.h5", verbose=2)
 
         assert np.array_equal(grid.x, grid2.x), "Grid load_from_h5 x-coords failed"
         assert np.array_equal(grid.y, grid2.y), "Grid load_from_h5 y-coords failed"
         assert np.array_equal(grid.z, grid2.z), "Grid load_from_h5 z-coords failed"
-        assert np.array_equal(grid.grid['cavity'], grid2.grid['cavity']), "Grid load_from_h5 solid mask failed"
-        os.remove('tests/001_grid.h5')
-
+        assert np.array_equal(grid.grid["cavity"], grid2.grid["cavity"]), (
+            "Grid load_from_h5 solid mask failed"
+        )
+        os.remove("tests/001_grid.h5")
diff --git a/tests/test_002_analytic_resonator.py b/tests/test_002_analytic_resonator.py
index 9a50de0..9f160cc 100644
--- a/tests/test_002_analytic_resonator.py
+++ b/tests/test_002_analytic_resonator.py
@@ -1,50 +1,86 @@
-import sys
-import pytest 
+
+import pytest
 import numpy as np
 from scipy.constants import c as c_light
 from tqdm import tqdm
 
-sys.path.append('../../wakis')
 from wakis import SolverFIT3D
-from wakis import GridFIT3D 
+from wakis import GridFIT3D
+
 
 def test_mode_101():
     m = 1
     n = 0
     p = 1
-    theta = 0 
+    theta = 0
 
     # Analytic solution of cubic resonator
     # Ref: http://faculty.pccu.edu.tw/~meng/new%20EM6.pdf pp.20/24
 
     def analytic_sol_Hz(x, y, z, t):
-        Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+        Rm = np.array(
+            [
+                [np.cos(-theta), -np.sin(-theta), 0],
+                [np.sin(-theta), np.cos(-theta), 0],
+                [0, 0, 1],
+            ]
+        )
         [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
 
-        return np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(n * np.pi / Ly * (y_0 - Ly/2)) * np.sin(
-            p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+        return (
+            np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+            * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+            * np.sin(p * np.pi / Lz * (z_0 - Lz / 2))
+            * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+        )
 
     def analytic_sol_Hy(x, y, z, t):
-        Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+        Rm = np.array(
+            [
+                [np.cos(-theta), -np.sin(-theta), 0],
+                [np.sin(-theta), np.cos(-theta), 0],
+                [0, 0, 1],
+            ]
+        )
         [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
         h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-        return -2 / h_2 * (n * np.pi / Ly) * (p * np.pi / Lz) * np.cos(m * np.pi / Lx * (x_0 - Lx/2)) * np.sin(
-            n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-            np.sqrt(2) * np.pi / Lx * c_light * t)
+        return (
+            -2
+            / h_2
+            * (n * np.pi / Ly)
+            * (p * np.pi / Lz)
+            * np.cos(m * np.pi / Lx * (x_0 - Lx / 2))
+            * np.sin(n * np.pi / Ly * (y_0 - Ly / 2))
+            * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+            * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+        )
 
     def analytic_sol_Hx(x, y, z, t):
-        Rm = np.array([[np.cos(-theta), - np.sin(-theta), 0],[np.sin(-theta), np.cos(-theta), 0], [0, 0, 1]])
+        Rm = np.array(
+            [
+                [np.cos(-theta), -np.sin(-theta), 0],
+                [np.sin(-theta), np.cos(-theta), 0],
+                [0, 0, 1],
+            ]
+        )
         [x_0, y_0, z_0] = np.dot(Rm, np.array([x, y, z]))
         h_2 = (m * np.pi / Lx) ** 2 + (n * np.pi / Ly) ** 2 + (p * np.pi / Lz) ** 2
 
-        return -2 / h_2 * (m * np.pi / Lx) * (p * np.pi / Lz) * np.sin(m * np.pi / Lx * (x_0 - Lx/2)) * np.cos(
-            n * np.pi / Ly * (y_0 - Ly/2)) * np.cos(p * np.pi / Lz * (z_0 - Lz/2)) * np.cos(
-            np.sqrt(2) * np.pi / Lx * c_light * t)
-
-    #---- Domain definition ----#
-    L = 1. # Domain length
-    N = 30 # Number of mesh cells
+        return (
+            -2
+            / h_2
+            * (m * np.pi / Lx)
+            * (p * np.pi / Lz)
+            * np.sin(m * np.pi / Lx * (x_0 - Lx / 2))
+            * np.cos(n * np.pi / Ly * (y_0 - Ly / 2))
+            * np.cos(p * np.pi / Lz * (z_0 - Lz / 2))
+            * np.cos(np.sqrt(2) * np.pi / Lx * c_light * t)
+        )
+
+    # ---- Domain definition ----#
+    L = 1.0  # Domain length
+    N = 30  # Number of mesh cells
 
     Nx = N
     Ny = N
@@ -56,48 +92,52 @@ def analytic_sol_Hx(x, y, z, t):
     dy = L / Ny
     dz = L / Nz
 
-    xmin = -Lx/2 + dx / 2
-    xmax = Lx/2 + dx / 2
-    ymin = - Ly/2 + dy / 2
-    ymax = Ly/2 + dy / 2
-    zmin = - Lz/2 + dz / 2
-    zmax = Lz/2 + dz / 2
+    xmin = -Lx / 2 + dx / 2
+    xmax = Lx / 2 + dx / 2
+    ymin = -Ly / 2 + dy / 2
+    ymax = Ly / 2 + dy / 2
+    zmin = -Lz / 2 + dz / 2
+    zmax = Lz / 2 + dz / 2
 
     print("\n---------- Initializing simulation ------------------")
     grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz)
-    solver = SolverFIT3D(grid, bc_low=['pec', 'pec', 'pec'], bc_high=['pec', 'pec', 'pec'])
+    solver = SolverFIT3D(
+        grid, bc_low=["pec", "pec", "pec"], bc_high=["pec", "pec", "pec"]
+    )
 
-    #---- Initial conditions ------------#
+    # ---- Initial conditions ------------#
     for ii in range(Nx):
         for jj in range(Ny):
             for kk in range(Nz):
                 x = ii * dx + xmin
                 y = jj * dy + ymin
                 z = kk * dz + zmin
-                solver.H[ii, jj, kk, 'z'] = analytic_sol_Hz(x, y, z, -0.5 * solver.dt)
+                solver.H[ii, jj, kk, "z"] = analytic_sol_Hz(x, y, z, -0.5 * solver.dt)
 
                 x = ii * dx + xmin
                 y = jj * dy + ymin
                 z = kk * dz + zmin
-                solver.H[ii, jj, kk, 'y'] = analytic_sol_Hy(x, y, z, -0.5 * solver.dt)
+                solver.H[ii, jj, kk, "y"] = analytic_sol_Hy(x, y, z, -0.5 * solver.dt)
 
                 x = ii * dx + xmin
                 y = jj * dy + ymin
                 z = kk * dz + zmin
-                solver.H[ii, jj, kk, 'x'] = analytic_sol_Hx(x, y, z, -0.5 * solver.dt)
+                solver.H[ii, jj, kk, "x"] = analytic_sol_Hx(x, y, z, -0.5 * solver.dt)
 
-    #----- Time loop -----#
-    #global Ey_000
+    # ----- Time loop -----#
+    # global Ey_000
     Ey_000 = []
     for nt in tqdm(range(5000)):
-        Ey_000.append(solver.E[Nx//2, Ny//2, Nz//2, 'y'])
+        Ey_000.append(solver.E[Nx // 2, Ny // 2, Nz // 2, "y"])
         solver.one_step()
-        
-    #------ Resonator frequency -------#
+
+    # ------ Resonator frequency -------#
     Ey_000 = np.array(Ey_000)
-    FEy_000 = np.fft.fftshift(np.fft.fft(Ey_000))[len(Ey_000)//2:]
-    freqs = np.fft.fftshift(np.fft.fftfreq(len(Ey_000), d=solver.dt))[len(Ey_000)//2:]
+    FEy_000 = np.fft.fftshift(np.fft.fft(Ey_000))[len(Ey_000) // 2 :]
+    freqs = np.fft.fftshift(np.fft.fftfreq(len(Ey_000), d=solver.dt))[
+        len(Ey_000) // 2 :
+    ]
     resonator_f = freqs[np.argmax(FEy_000)]
 
     # analytic frequency: https://learnemc.com/ext/calculators/cavity_resonance/rect-res.html
-    assert resonator_f == pytest.approx(2.121e8, 0.05), "Ey frequency error >5%"
\ No newline at end of file
+    assert resonator_f == pytest.approx(2.121e8, 0.05), "Ey frequency error >5%"
diff --git a/tests/test_003_planewave_sphere.py b/tests/test_003_planewave_sphere.py
index cfea172..928cf12 100644
--- a/tests/test_003_planewave_sphere.py
+++ b/tests/test_003_planewave_sphere.py
@@ -1,10 +1,7 @@
 import os
-import sys
 import pyvista as pv
-import matplotlib.pyplot as plt
 from scipy.constants import c
 
-sys.path.append('../wakis')
 
 from wakis import SolverFIT3D
 from wakis import GridFIT3D
@@ -15,9 +12,9 @@
 # Turn False when running local
 flag_offscreen = True
 
-class TestPlanewave:
 
-    img_folder = 'tests/003_img/'
+class TestPlanewave:
+    img_folder = "tests/003_img/"
 
     def test_simulation(self):
         print("\n---------- Initializing simulation ------------------")
@@ -27,11 +24,11 @@ def test_simulation(self):
         Nz = 120
 
         # Embedded boundaries
-        stl_file = 'tests/stl/003_sphere.stl'
+        stl_file = "tests/stl/003_sphere.stl"
         surf = pv.read(stl_file)
 
-        stl_solids = {'Sphere': stl_file}
-        stl_materials = {'Sphere': [10.0, 1.0]} #dielectric [eps_r, mu_r]
+        stl_solids = {"Sphere": stl_file}
+        stl_materials = {"Sphere": [10.0, 1.0]}  # dielectric [eps_r, mu_r]
         stl_rotate = [0, 0, 0]
         stl_scale = 1e-3
 
@@ -42,21 +39,31 @@ def test_simulation(self):
 
         # Domain bounds and grid
         xmin, xmax, ymin, ymax, zmin, zmax = surf.bounds
-        padx, pady, padz = (xmax-xmin)*0.2, (ymax-ymin)*0.2, (zmax-zmin)*1.0
+        padx, pady, padz = (xmax - xmin) * 0.2, (ymax - ymin) * 0.2, (zmax - zmin) * 1.0
 
-        xmin, ymin, zmin = (xmin-padx), (ymin-pady), (zmin-padz)
-        xmax, ymax, zmax = (xmax+padx), (ymax+pady), (zmax+padz)
+        xmin, ymin, zmin = (xmin - padx), (ymin - pady), (zmin - padz)
+        xmax, ymax, zmax = (xmax + padx), (ymax + pady), (zmax + padz)
 
         global grid
-        grid = GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz,
-                stl_solids=stl_solids,
-                stl_rotate=stl_rotate,
-                stl_scale=stl_scale,
-                stl_materials=stl_materials)
+        grid = GridFIT3D(
+            xmin,
+            xmax,
+            ymin,
+            ymax,
+            zmin,
+            zmax,
+            Nx,
+            Ny,
+            Nz,
+            stl_solids=stl_solids,
+            stl_rotate=stl_rotate,
+            stl_scale=stl_scale,
+            stl_materials=stl_materials,
+        )
 
         # Boundary conditions and
-        bc_low=['periodic', 'periodic', 'pec']
-        bc_high=['periodic', 'periodic', 'pml']
+        bc_low = ["periodic", "periodic", "pec"]
+        bc_high = ["periodic", "periodic", "pml"]
 
         # -------------- Output folder ---------------------
         if not os.path.exists(self.img_folder):
@@ -67,11 +74,12 @@ def test_simulation(self):
         solver = SolverFIT3D(grid, use_stl=True, bc_low=bc_low, bc_high=bc_high)
 
         # source
-        f = 15/((solver.z.max()-solver.z.min())/c)
-        source = PlaneWave(xs=slice(1, Nx-1), ys=slice(1,Ny-1), zs=1,
-                           f=f, beta=1.0)
+        f = 15 / ((solver.z.max() - solver.z.min()) / c)
+        source = PlaneWave(
+            xs=slice(1, Nx - 1), ys=slice(1, Ny - 1), zs=1, f=f, beta=1.0
+        )
 
-        Nt = int(1.0*(solver.z.max()-solver.z.min())/c/solver.dt)
+        Nt = int(1.0 * (solver.z.max() - solver.z.min()) / c / solver.dt)
         solver.emsolve(Nt, source)
 
     def test_field_inspect(self):
@@ -85,47 +93,91 @@ def test_field_inspect(self):
         
     def test_plot1D(self):
         global solver
-        solver.plot1D('Ex', line='z', pos=[0.7, 0.6, 0.5, 0.4, 0.3, 0.2],
-                    xscale='linear', yscale='linear',
-                    off_screen=flag_offscreen, n=solver.Nt,
-                    colors=['#5ccfe6', '#fdb6d0', '#ffae57', '#bae67e', '#ffd580', '#a2aabc'],
-                    title=self.img_folder+'1Dplot_Ex')
+        solver.plot1D(
+            "Ex",
+            line="z",
+            pos=[0.7, 0.6, 0.5, 0.4, 0.3, 0.2],
+            xscale="linear",
+            yscale="linear",
+            off_screen=flag_offscreen,
+            n=solver.Nt,
+            colors=["#5ccfe6", "#fdb6d0", "#ffae57", "#bae67e", "#ffd580", "#a2aabc"],
+            title=self.img_folder + "1Dplot_Ex",
+        )
 
     def test_plot2D(self):
         global solver
-        solver.plot2D('Hy', plane='ZY', pos=0.5, cmap='bwr',
-                    add_patch='Sphere', patch_alpha=0.1, interpolation='spline36',
-                    off_screen=flag_offscreen, n=solver.Nt,
-                    title=self.img_folder+'2Dplot_Hy')
+        solver.plot2D(
+            "Hy",
+            plane="ZY",
+            pos=0.5,
+            cmap="bwr",
+            add_patch="Sphere",
+            patch_alpha=0.1,
+            interpolation="spline36",
+            off_screen=flag_offscreen,
+            n=solver.Nt,
+            title=self.img_folder + "2Dplot_Hy",
+        )
 
     @pytest.mark.skipif(flag_offscreen, reason="Requires interactive plotting")
     def test_plot3D_interactive(self):
         global solver
-        solver.plot3D(field='E', component='x', cmap='jet',
-            add_stl='Sphere', stl_opacity=0.1, stl_colors='white',
-            clip_interactive=True, clip_normal='-y',
-            off_screen=False)
+        solver.plot3D(
+            field="E",
+            component="x",
+            cmap="jet",
+            add_stl="Sphere",
+            stl_opacity=0.1,
+            stl_colors="white",
+            clip_interactive=True,
+            clip_normal="-y",
+            off_screen=False,
+        )
 
     def test_plot3D_offscreen(self):
         global solver
-        solver.plot3D(field='H', component='y', cmap='bwr',
-                      add_stl='Sphere', stl_opacity=0.1, stl_colors='white',
-                      clip_box=True, clip_bounds=None,
-                      off_screen=flag_offscreen, title=self.img_folder+'3Dplot_Hy')
+        solver.plot3D(
+            field="H",
+            component="y",
+            cmap="bwr",
+            add_stl="Sphere",
+            stl_opacity=0.1,
+            stl_colors="white",
+            clip_box=True,
+            clip_bounds=None,
+            off_screen=flag_offscreen,
+            title=self.img_folder + "3Dplot_Hy",
+        )
 
     @pytest.mark.skipif(flag_offscreen, reason="Requires interactive plotting")
     def test_plot3DonSTL_interactive(self):
         global solver
-        solver.plot3DonSTL('Ex', cmap='jet',
-                           stl_with_field='Sphere', field_opacity=1.,
-                           stl_transparent='Sphere', stl_opacity=0.3, stl_colors='white',
-                           clip_interactive=True, clip_normal='-y',
-                           off_screen=False, zoom=1.0)
+        solver.plot3DonSTL(
+            "Ex",
+            cmap="jet",
+            stl_with_field="Sphere",
+            field_opacity=1.0,
+            stl_transparent="Sphere",
+            stl_opacity=0.3,
+            stl_colors="white",
+            clip_interactive=True,
+            clip_normal="-y",
+            off_screen=False,
+            zoom=1.0,
+        )
 
     def test_plot3DonSTL_offscreen(self):
         global solver
-        solver.plot3DonSTL('Ex', cmap='jet',
-                           stl_with_field='Sphere', field_opacity=1.,
-                           stl_transparent=None, stl_opacity=0., stl_colors=None,
-                           off_screen=flag_offscreen, zoom=1.0,
-                           title=self.img_folder+'3DplotOnSTL_Hy')
+        solver.plot3DonSTL(
+            "Ex",
+            cmap="jet",
+            stl_with_field="Sphere",
+            field_opacity=1.0,
+            stl_transparent=None,
+            stl_opacity=0.0,
+            stl_colors=None,
+            off_screen=flag_offscreen,
+            zoom=1.0,
+            title=self.img_folder + "3DplotOnSTL_Hy",
+        )
diff --git a/tests/test_004_wakes_and_impedances.py b/tests/test_004_wakes_and_impedances.py
index 306b4d1..c69c273 100644
--- a/tests/test_004_wakes_and_impedances.py
+++ b/tests/test_004_wakes_and_impedances.py
@@ -1,65 +1,78 @@
-import os, sys
 import numpy as np
 import matplotlib.pyplot as plt
 
-sys.path.append('../wakis')
+
 from wakis import WakeSolver as wk
 
+
 class TestImpedancesAndWakes:
     def test_sin_wake(self):
         fr = 0.5e9
         A = 100
-        t = np.linspace(0, 100*1e-9, 3000)
-        wake = A*np.sin(2*np.pi*fr*t)
+        t = np.linspace(0, 100 * 1e-9, 3000)
+        wake = A * np.sin(2 * np.pi * fr * t)
 
         f, Z = wk.calc_impedance_from_wake([t, wake])
         tt, wwake = wk.calc_wake_from_impedance([f, Z], samples=3000)
-        ff, Zz = wk.calc_impedance_from_wake([tt, wwake],)
-        ttt, wwwake = wk.calc_wake_from_impedance([ff,Zz], samples=3000)
+        ff, Zz = wk.calc_impedance_from_wake(
+            [tt, wwake],
+        )
+        ttt, wwwake = wk.calc_wake_from_impedance([ff, Zz], samples=3000)
 
-        assert np.allclose(wake, wwake, atol=1), '1st Transformed wake failed'
-        assert np.allclose(wake, wwwake, atol=1), '2nd Transformed wake failed'
+        assert np.allclose(wake, wwake, atol=1), "1st Transformed wake failed"
+        assert np.allclose(wake, wwwake, atol=1), "2nd Transformed wake failed"
 
     def test_sin_impedance(self):
         fr = 0.5e9
         A = 100
-        t = np.linspace(0, 100*1e-9, 3000)
-        wake = A*np.sin(2*np.pi*fr*t)
+        t = np.linspace(0, 100 * 1e-9, 3000)
+        wake = A * np.sin(2 * np.pi * fr * t)
 
         f, Z = wk.calc_impedance_from_wake([t, wake])
         tt, wwake = wk.calc_wake_from_impedance([f, Z], samples=3000)
-        ff, Zz = wk.calc_impedance_from_wake([tt, wwake],)
+        ff, Zz = wk.calc_impedance_from_wake(
+            [tt, wwake],
+        )
 
-        assert np.allclose(np.max(np.abs(Z)), A, atol=1), '1st Transformed impedance Max. failed'
-        assert np.allclose(np.max(np.abs(Zz)), A, atol=1), '2nd Transformed impedance Max. failed'
+        assert np.allclose(np.max(np.abs(Z)), A, atol=1), (
+            "1st Transformed impedance Max. failed"
+        )
+        assert np.allclose(np.max(np.abs(Zz)), A, atol=1), (
+            "2nd Transformed impedance Max. failed"
+        )
 
-        assert np.allclose(f[np.argmax(Z)], fr, atol=1e6), '1st Transformed impedance fr failed'
-        assert np.allclose(ff[np.argmax(Zz)], fr, atol=1e6), '2nd Transformed impedance fr. failed'
+        assert np.allclose(f[np.argmax(Z)], fr, atol=1e6), (
+            "1st Transformed impedance fr failed"
+        )
+        assert np.allclose(ff[np.argmax(Zz)], fr, atol=1e6), (
+            "2nd Transformed impedance fr. failed"
+        )
 
     def plot_sin(self):
         fr = 0.5e9
         A = 100
-        t = np.linspace(0, 100*1e-9, 3000)
-        wake = A*np.sin(2*np.pi*fr*t)
-    
+        t = np.linspace(0, 100 * 1e-9, 3000)
+        wake = A * np.sin(2 * np.pi * fr * t)
+
         f, Z = wk.calc_impedance_from_wake([t, wake])
         tt, wwake = wk.calc_wake_from_impedance([f, Z], samples=3000)
-        ff, Zz = wk.calc_impedance_from_wake([tt, wwake],)
-        ttt, wwwake = wk.calc_wake_from_impedance([ff,Zz], samples=3000)
+        ff, Zz = wk.calc_impedance_from_wake(
+            [tt, wwake],
+        )
+        ttt, wwwake = wk.calc_wake_from_impedance([ff, Zz], samples=3000)
 
-        fig, (ax1,ax2) = plt.subplots(2,1)
-        ax1.plot(t, wake, '-g', alpha=0.8, label='analytic')
-        ax1.plot(tt, wwake, '--r', alpha=0.5, label='calc')
-        ax1.plot(ttt, wwwake, '--b', alpha=0.5, label='calc, iter2')
-        ax1.set_xlabel('time [s]')
+        fig, (ax1, ax2) = plt.subplots(2, 1)
+        ax1.plot(t, wake, "-g", alpha=0.8, label="analytic")
+        ax1.plot(tt, wwake, "--r", alpha=0.5, label="calc")
+        ax1.plot(ttt, wwwake, "--b", alpha=0.5, label="calc, iter2")
+        ax1.set_xlabel("time [s]")
 
-        ax2.plot([fr,fr], [0., A], '-g', alpha=0.8, label='analytic')
-        ax2.plot(f, np.abs(Z), '--r', alpha=0.5, label='calc')
-        ax2.plot(ff, np.abs(Zz), '--b', alpha=0.5, label='calc, iter2')
-        ax2.set_xlabel('frequency [Hz]')
+        ax2.plot([fr, fr], [0.0, A], "-g", alpha=0.8, label="analytic")
+        ax2.plot(f, np.abs(Z), "--r", alpha=0.5, label="calc")
+        ax2.plot(ff, np.abs(Zz), "--b", alpha=0.5, label="calc, iter2")
+        ax2.set_xlabel("frequency [Hz]")
         ax2.legend()
 
         fig.tight_layout()
-        fig.savefig('test_004_sin.png')
+        fig.savefig("test_004_sin.png")
         plt.show()
-
diff --git a/tests/test_005_pml_boundaries.py b/tests/test_005_pml_boundaries.py
index ca063ca..c49892d 100644
--- a/tests/test_005_pml_boundaries.py
+++ b/tests/test_005_pml_boundaries.py
@@ -1,19 +1,19 @@
-import sys,os
+import os
 import numpy as np
-from scipy.constants import c, mu_0, epsilon_0
+from scipy.constants import c, mu_0
 from tqdm import tqdm
 
-sys.path.append('../')
+
 import wakis
 
 import pytest
 
-flag_interactive = False # Set to true to run plot tests
+flag_interactive = False  # Set to true to run plot tests
 
-class TestPML:
 
+class TestPML:
     def test_timestep(self):
-        #TODO: check for dt < relaxation time
+        # TODO: check for dt < relaxation time
         pass
 
     def test_reflection_planewave(self):
@@ -26,12 +26,7 @@ def test_reflection_planewave(self):
         Nx, Ny = 20, 20
         Nz = 200
 
-        grid = wakis.GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, 
-                            Nx, Ny, Nz)
-        
-        # Boundary conditions and solver
-        bc_low = ['periodic', 'periodic', 'pec']
-        bc_high = ['periodic', 'periodic', 'pml']
+        grid = wakis.GridFIT3D(xmin, xmax, ymin, ymax, zmin, zmax, Nx, Ny, Nz)
 
         # Test different eps_r and sigma case
         eps_r = 1.0
@@ -118,13 +113,20 @@ def test_reflection_planewave_resistive_material(self):
                                     n_pml=30)
 
         # Source
-        amplitude = 100.
+        amplitude = 100.0
         nodes = 7
-        f = 15/((solver.z.max()-solver.z.min())/c)
-        planeWave = wakis.sources.PlaneWave(xs=slice(0, Nx), ys=slice(0,Ny), zs=0, 
-                                            beta=1.0, amplitude=amplitude,
-                                            f=f, nodes=nodes, phase=np.pi/2)
-        solver.dt = 1/f/200 #ensure right amplitude
+        f = 15 / ((solver.z.max() - solver.z.min()) / c)
+        planeWave = wakis.sources.PlaneWave(
+            xs=slice(0, Nx),
+            ys=slice(0, Ny),
+            zs=0,
+            beta=1.0,
+            amplitude=amplitude,
+            f=f,
+            nodes=nodes,
+            phase=np.pi / 2,
+        )
+        solver.dt = 1 / f / 200  # ensure right amplitude
 
         # Simulation
         
@@ -136,7 +138,7 @@ def test_reflection_planewave_resistive_material(self):
         Nt = int(eps_r*2.0*(zmax-zmin-z_pml)/c/solver.dt)
 
         for n in tqdm(range(Nt)):
-            planeWave.update(solver, n*solver.dt)
+            planeWave.update(solver, n * solver.dt)
             solver.one_step()
 
             if flag_interactive and n%int(Nt/100) == 0:
@@ -240,47 +242,45 @@ def test_reflection_planewave_high_resistivity_material(self):
                 off_screen=True, title=f'005_Hy2d') 
 
     def _pml_func():
-
         pml_lo = 0.005
         pml_hi = 0.1
         n_pml = 10
 
         lin = np.linspace(pml_lo, pml_hi, n_pml)
-        geom = np.geomspace(pml_lo, pml_hi, n_pml) #r=(pml_hi/pml_lo)**(1/(n_pml-1))
+        geom = np.geomspace(pml_lo, pml_hi, n_pml)  # r=(pml_hi/pml_lo)**(1/(n_pml-1))
 
-        x = np.linspace(0,1, n_pml)
-        quad = pml_lo + (pml_hi - pml_lo)*x**2
-        cub = pml_lo + (pml_hi - pml_lo)*x**3
-        quart = pml_lo + (pml_hi - pml_lo)*x**4
-        quint = pml_lo + (pml_hi - pml_lo)*x**5
+        x = np.linspace(0, 1, n_pml)
+        quad = pml_lo + (pml_hi - pml_lo) * x**2
+        cub = pml_lo + (pml_hi - pml_lo) * x**3
+        quart = pml_lo + (pml_hi - pml_lo) * x**4
+        quint = pml_lo + (pml_hi - pml_lo) * x**5
 
         # Plot func profiles
         import matplotlib.pyplot as plt
+
         fig, ax = plt.subplots()
 
-        ax.plot(lin, label='linspace')
-        ax.plot(geom, label='geomspace')
-        ax.plot(quad, label='quadratic')
-        ax.plot(cub, label='cubic')
-        ax.plot(quart, label='quartic')
-        ax.plot(quint, label='quintic')
-        ax.set_xlabel('PML cells n')
-        ax.set_ylabel(r'conductivity profile $\sigma(n)$')
+        ax.plot(lin, label="linspace")
+        ax.plot(geom, label="geomspace")
+        ax.plot(quad, label="quadratic")
+        ax.plot(cub, label="cubic")
+        ax.plot(quart, label="quartic")
+        ax.plot(quint, label="quintic")
+        ax.set_xlabel("PML cells n")
+        ax.set_ylabel(r"conductivity profile $\sigma(n)$")
         ax.legend()
 
-        #plt.show()
+        # plt.show()
 
         # Plot func derivative
         fig, ax = plt.subplots(dpi=200)
 
-        ax.plot(lin[1:]-lin[:-1], label='linspace')
-        ax.plot(geom[1:]-geom[:-1], label='geomspace')
-        ax.plot(quad[1:]-quad[:-1], label='quadratic')
-        ax.plot(cub[1:]-cub[:-1], label='cubic')
-        ax.plot(quart[1:]-quart[:-1], label='quartic')
-        ax.plot(quint[1:]-quint[:-1], label='quintic')
-        ax.set_xlabel('PML cells n')
-        ax.set_ylabel(r'gradient of conductivity profile $\sigma(n)$')
+        ax.plot(lin[1:] - lin[:-1], label="linspace")
+        ax.plot(geom[1:] - geom[:-1], label="geomspace")
+        ax.plot(quad[1:] - quad[:-1], label="quadratic")
+        ax.plot(cub[1:] - cub[:-1], label="cubic")
+        ax.plot(quart[1:] - quart[:-1], label="quartic")
+        ax.plot(quint[1:] - quint[:-1], label="quintic")
+        ax.set_xlabel("PML cells n")
+        ax.set_ylabel(r"gradient of conductivity profile $\sigma(n)$")
         ax.legend()
-
-
diff --git a/tests/test_006_geometry_utils.py b/tests/test_006_geometry_utils.py
index e0255e4..fdb66f0 100644
--- a/tests/test_006_geometry_utils.py
+++ b/tests/test_006_geometry_utils.py
@@ -1,39 +1,51 @@
-import sys
-sys.path.append('../wakis')
-                
-from wakis import geometry
 
-import pytest 
+
+
+from wakis import geometry
 
 
 class TestGeometryUtils:
-    #Compare data
-    STP_FILE = 'tests/stl/006_muonCavity.stp'
-    
-    COLORS = {'000_Vacuum-Half_cell_dx': [0.5, 0.800000011920929, 1.0],
-            '001_Be-windows-Be-window-left': [0.752941012382507, 0.752941012382507, 0.752941012382507],
-            '002_Be-windows-Be-window-right': [0.752941012382507, 0.752941012382507, 0.752941012382507],
-            '003_Walls-Cavity-walls': [1.0, 0.615685999393463, 0.235293999314308],
-            '004_Vacuum-Half_cell_sx': [0.5, 0.800000011920929, 1.0]}
-    
-    MATERIALS = {'000_Vacuum-Half_cell_dx': 'vacuum',
-                '001_Be-windows-Be-window-left': 'berillium',
-                '002_Be-windows-Be-window-right': 'berillium',
-                '003_Walls-Cavity-walls': 'copper--annealed-',
-                '004_Vacuum-Half_cell_sx': 'vacuum'}
-
-    SOLIDS = {'000_Vacuum-Half_cell_dx': '000_Vacuum-Half_cell_dx_Vacuum.stl',
-            '001_Be-windows-Be-window-left': '001_Be-windows-Be-window-left_Berillium.stl',
-            '002_Be-windows-Be-window-right': '002_Be-windows-Be-window-right_Berillium.stl',
-            '003_Walls-Cavity-walls': '003_Walls-Cavity-walls_Copper--annealed-.stl',
-            '004_Vacuum-Half_cell_sx': '004_Vacuum-Half_cell_sx_Vacuum.stl'}
+    # Compare data
+    STP_FILE = "tests/stl/006_muonCavity.stp"
+
+    COLORS = {
+        "000_Vacuum-Half_cell_dx": [0.5, 0.800000011920929, 1.0],
+        "001_Be-windows-Be-window-left": [
+            0.752941012382507,
+            0.752941012382507,
+            0.752941012382507,
+        ],
+        "002_Be-windows-Be-window-right": [
+            0.752941012382507,
+            0.752941012382507,
+            0.752941012382507,
+        ],
+        "003_Walls-Cavity-walls": [1.0, 0.615685999393463, 0.235293999314308],
+        "004_Vacuum-Half_cell_sx": [0.5, 0.800000011920929, 1.0],
+    }
+
+    MATERIALS = {
+        "000_Vacuum-Half_cell_dx": "vacuum",
+        "001_Be-windows-Be-window-left": "berillium",
+        "002_Be-windows-Be-window-right": "berillium",
+        "003_Walls-Cavity-walls": "copper--annealed-",
+        "004_Vacuum-Half_cell_sx": "vacuum",
+    }
+
+    SOLIDS = {
+        "000_Vacuum-Half_cell_dx": "000_Vacuum-Half_cell_dx_Vacuum.stl",
+        "001_Be-windows-Be-window-left": "001_Be-windows-Be-window-left_Berillium.stl",
+        "002_Be-windows-Be-window-right": "002_Be-windows-Be-window-right_Berillium.stl",
+        "003_Walls-Cavity-walls": "003_Walls-Cavity-walls_Copper--annealed-.stl",
+        "004_Vacuum-Half_cell_sx": "004_Vacuum-Half_cell_sx_Vacuum.stl",
+    }
 
     UNITS = 0.001
 
     def test_colors(self):
         colors = geometry.extract_colors_from_stp(self.STP_FILE)
         assert colors == self.COLORS
-    
+
     def test_materials(self):
         materials = geometry.extract_materials_from_stp(self.STP_FILE)
         assert materials == self.MATERIALS
@@ -45,4 +57,3 @@ def test_solids(self):
     def test_units(self):
         units = geometry.get_stp_unit_scale(self.STP_FILE)
         assert units == self.UNITS
-      
diff --git a/tests/test_007_mpi_lossy_cavity.py b/tests/test_007_mpi_lossy_cavity.py
index 815c7da..676d916 100644
--- a/tests/test_007_mpi_lossy_cavity.py
+++ b/tests/test_007_mpi_lossy_cavity.py
@@ -1,10 +1,9 @@
 import os
-import sys
 import numpy as np
 import pyvista as pv
 import matplotlib.pyplot as plt
 
-sys.path.append('../wakis')
+
 
 from tqdm import tqdm
 from scipy.constants import c
@@ -22,88 +21,256 @@
 # Turn true when running local
 flag_plot_3D = False
 
+
 @pytest.mark.slow
 class TestMPILossyCavity:
     # Regression data
-    WP = np.array([-1.20513623e-18 ,-3.43161145e-14 ,-9.12255548e-11 ,-5.96997512e-08,
-                    -1.14173019e-05 ,-6.67499094e-04 ,-1.20239747e-02 ,-6.53062215e-02,
-                    -9.26520639e-02 , 2.78321623e-02  ,1.25518516e-01 , 7.30670041e-02,
-                    -1.90239810e-02 ,-4.85596408e-02 ,-3.20357619e-02 ,-1.41604640e-02,
-                    6.08356174e-02 , 8.46570691e-02 ,-5.47181776e-02 ,-1.16180823e-01,
-                    1.96111216e-02 , 9.92679050e-02 , 2.71878152e-02 ,-5.20035156e-02,
-                    -4.06137472e-02 ,-1.13185667e-02 , 1.23530805e-02 , 7.68524041e-02,
-                    2.25859758e-02 ,-9.37436643e-02 ,-5.75287185e-02 , 6.39890431e-02,
-                    8.01280003e-02 ,-2.25671230e-02 ,-5.80154107e-02 ,-1.67525750e-02,
-                    1.87720028e-03 , 4.10247646e-02  ,5.36731566e-02 ,-3.30682943e-02,
-                    -8.35234400e-02 ,-3.49965114e-03 , 8.57976513e-02 , 3.52580927e-02,
-                    -5.59291793e-02 ,-3.74168173e-02 ,-1.57790071e-03 , 2.16477574e-02,
-                    4.65687493e-02 , 1.13356268e-02 ,-5.61946649e-02 ,-5.45040228e-02,
-                    4.41993189e-02  ,7.38920452e-02 ,-1.60854441e-02 ,-5.54896162e-02,
-                    -1.77145556e-02 , 1.61884877e-02 , 3.33170207e-02 , 2.63165394e-02,
-                    -1.83733826e-02 ,-5.94726314e-02 ,-1.15493543e-02 , 6.90379083e-02,
-                    3.30361171e-02 ,-4.32087737e-02 ,-4.14862834e-02 , 2.95742481e-03,
-                    3.11653273e-02 , 2.43513549e-02 , 5.17266702e-03 ,-3.70591561e-02,
-                    -4.24818163e-02 , 3.09681557e-02 , 5.76902933e-02 ,-4.78519848e-03,
-                    -5.02625318e-02 ,-2.09821868e-02 , 2.46893459e-02 , 2.77009485e-02,
-                    1.12395692e-02 ,-1.34117335e-02 ,-4.22375110e-02 ,-8.34037808e-03,
-                    4.81709861e-02 , 3.05819110e-02 ,-2.98222467e-02 ,-4.38079436e-02,
-                    6.51694708e-03 , 3.11637911e-02 , 1.61475003e-02 ,-1.03231050e-03,
-                    -2.84581274e-02 ,-2.64695160e-02  ,1.92431962e-02 , 4.34036616e-02,
-                    3.00897180e-03 ,-4.36364833e-02 ,-2.09601909e-02 , 2.48741294e-02,
-                    2.47321674e-02  ,5.34334063e-03 ,-1.56819510e-02 ,-2.75503078e-02])
-
-    Z = np.array([ 7.77970188e+00   -0.j      ,   -3.85415882e+00  +14.7587971j,
-                -3.61177110e+00   +4.52999754j,  1.11502695e+01  +16.94389961j,
-                -1.48367615e+00  +31.13414676j ,-2.42369181e+00  +20.20481814j,
-                1.32631009e+01  +32.26388931j , 7.84469425e-02  +48.06727516j,
-                -2.04548300e+00  +36.16821013j , 1.55741147e+01  +48.44883647j,
-                1.37311998e+00  +66.93221773j ,-2.19747672e+00  +53.47374311j,
-                1.86245241e+01  +66.56951352j  ,2.65234275e+00  +89.33983678j,
-                -2.94989399e+00  +73.40544312j , 2.31553338e+01  +88.22587886j,
-                4.16269453e+00 +118.22389548j ,-4.66524583e+00  +98.31868989j,
-                3.07626943e+01 +116.67578417j , 6.41211027e+00 +160.3569522j,
-                -8.36053398e+00 +133.90634108j , 4.61970915e+01 +160.6857645j,
-                1.14408149e+01 +237.02472112j ,-1.72907188e+01 +200.58798515j,
-                9.34171798e+01 +257.88692816j , 4.19201258e+01 +475.3131594j,
-                -3.28372915e+01 +498.40274299j , 1.47161715e+03 +896.91077291j,
-                4.46726052e+02-1074.75272128j , 1.48368867e+02 -150.95840903j,
-                -7.65707535e+01  -95.4006897j ,  4.13011813e+01 -115.5293095j,
-                5.96957058e+01  +64.38392007j ,-4.17351813e+01  +65.90769948j,
-                4.16431845e+01  +45.42941094j , 5.22637205e+01 +182.75009977j,
-                -2.42252500e+01 +183.45582422j , 8.56170191e+01 +206.784262j,
-                9.77958353e+01 +444.21692899j , 8.26325734e+01 +560.54204926j,
-                1.44414393e+03 +765.73788438j , 7.29867370e+02-1096.11716581j,
-                1.17986711e+02 -317.31632024j ,-4.56173056e+01 -277.3675436j,
-                7.54525872e+01 -200.5232469j ,  2.20725250e+01  -36.10606952j,
-                -3.94369541e+01  -81.45040661j , 6.08389766e+01  -53.3224972j,
-                1.97319998e+01  +64.35491532j ,-1.82274232e+01   +4.8794245j])
-
-    Ez = np.array([ 2.21799580e+01, -5.78362380e+00 ,-6.00531608e+00 ,-1.01718118e+00,
-                    1.73468186e+00 , 1.29313000e+00 ,-9.69312994e+00 ,-2.59107426e+01,
-                    -4.73006858e+01 ,-7.11016384e+01 ,-9.36971115e+01 ,-1.12676454e+02,
-                    -1.28296571e+02 ,-1.40866374e+02 ,-1.48363099e+02 ,-1.51635428e+02,
-                    -1.48185125e+02 ,-1.37740237e+02 ,-1.19948398e+02 ,-9.23354987e+01,
-                    -6.04105997e+01 ,-3.06532160e+01 ,-1.17749936e+01 ,-3.12574866e+00,
-                    -7.35339521e-01 ,-1.13085658e-01 , 7.18247535e-01 , 8.73829036e-02])
-
-    gridLogs = {'use_mesh_refinement': False, 'Nx': 60, 'Ny': 60, 'Nz': 140, 'dx': 0.00866666634877522,
-                'dy': 0.00866666634877522, 'dz': 0.005714285799435207,
-                'xmin': -0.25999999046325684, 'xmax': 0.25999999046325684,
-                'ymin': -0.25999999046325684, 'ymax': 0.25999999046325684,
-                'zmin': -0.25, 'zmax': 0.550000011920929,
-                'stl_solids': {'cavity': 'tests/stl/007_vacuum_cavity.stl', 'shell': 'tests/stl/007_lossymetal_shell.stl'},
-                'stl_materials': {'cavity': 'vacuum', 'shell': [30, 1.0, 30]},
-                'gridInitializationTime': 0}
-
-    solverLogs = {'use_gpu': False, 'use_mpi': False, 'background': 'pec',
-                'bc_low': ['pec', 'pec', 'pec'], 'bc_high': ['pec', 'pec', 'pec'],
-                'dt': 6.970326728398966e-12, 'solverInitializationTime': 0}
-
-    wakeSolverLogs = {'ti': 2.8516132094735135e-09, 'q': 1e-09, 'sigmaz': 0.1, 'beta': 1.0,
-                       'xsource': 0.0, 'ysource': 0.0, 'xtest': 0.0, 'ytest': 0.0, 'chargedist': None,
-                       'skip_cells': 10, 'results_folder': 'tests/007_results/', 'wakelength': 10.0, 'simulationTime': 0}
-
-    img_folder = 'tests/007_img/'
+    WP = np.array(
+        [
+            -1.20513623e-18,
+            -3.43161145e-14,
+            -9.12255548e-11,
+            -5.96997512e-08,
+            -1.14173019e-05,
+            -6.67499094e-04,
+            -1.20239747e-02,
+            -6.53062215e-02,
+            -9.26520639e-02,
+            2.78321623e-02,
+            1.25518516e-01,
+            7.30670041e-02,
+            -1.90239810e-02,
+            -4.85596408e-02,
+            -3.20357619e-02,
+            -1.41604640e-02,
+            6.08356174e-02,
+            8.46570691e-02,
+            -5.47181776e-02,
+            -1.16180823e-01,
+            1.96111216e-02,
+            9.92679050e-02,
+            2.71878152e-02,
+            -5.20035156e-02,
+            -4.06137472e-02,
+            -1.13185667e-02,
+            1.23530805e-02,
+            7.68524041e-02,
+            2.25859758e-02,
+            -9.37436643e-02,
+            -5.75287185e-02,
+            6.39890431e-02,
+            8.01280003e-02,
+            -2.25671230e-02,
+            -5.80154107e-02,
+            -1.67525750e-02,
+            1.87720028e-03,
+            4.10247646e-02,
+            5.36731566e-02,
+            -3.30682943e-02,
+            -8.35234400e-02,
+            -3.49965114e-03,
+            8.57976513e-02,
+            3.52580927e-02,
+            -5.59291793e-02,
+            -3.74168173e-02,
+            -1.57790071e-03,
+            2.16477574e-02,
+            4.65687493e-02,
+            1.13356268e-02,
+            -5.61946649e-02,
+            -5.45040228e-02,
+            4.41993189e-02,
+            7.38920452e-02,
+            -1.60854441e-02,
+            -5.54896162e-02,
+            -1.77145556e-02,
+            1.61884877e-02,
+            3.33170207e-02,
+            2.63165394e-02,
+            -1.83733826e-02,
+            -5.94726314e-02,
+            -1.15493543e-02,
+            6.90379083e-02,
+            3.30361171e-02,
+            -4.32087737e-02,
+            -4.14862834e-02,
+            2.95742481e-03,
+            3.11653273e-02,
+            2.43513549e-02,
+            5.17266702e-03,
+            -3.70591561e-02,
+            -4.24818163e-02,
+            3.09681557e-02,
+            5.76902933e-02,
+            -4.78519848e-03,
+            -5.02625318e-02,
+            -2.09821868e-02,
+            2.46893459e-02,
+            2.77009485e-02,
+            1.12395692e-02,
+            -1.34117335e-02,
+            -4.22375110e-02,
+            -8.34037808e-03,
+            4.81709861e-02,
+            3.05819110e-02,
+            -2.98222467e-02,
+            -4.38079436e-02,
+            6.51694708e-03,
+            3.11637911e-02,
+            1.61475003e-02,
+            -1.03231050e-03,
+            -2.84581274e-02,
+            -2.64695160e-02,
+            1.92431962e-02,
+            4.34036616e-02,
+            3.00897180e-03,
+            -4.36364833e-02,
+            -2.09601909e-02,
+            2.48741294e-02,
+            2.47321674e-02,
+            5.34334063e-03,
+            -1.56819510e-02,
+            -2.75503078e-02,
+        ]
+    )
+
+    Z = np.array(
+        [
+            7.77970188e00 - 0.0j,
+            -3.85415882e00 + 14.7587971j,
+            -3.61177110e00 + 4.52999754j,
+            1.11502695e01 + 16.94389961j,
+            -1.48367615e00 + 31.13414676j,
+            -2.42369181e00 + 20.20481814j,
+            1.32631009e01 + 32.26388931j,
+            7.84469425e-02 + 48.06727516j,
+            -2.04548300e00 + 36.16821013j,
+            1.55741147e01 + 48.44883647j,
+            1.37311998e00 + 66.93221773j,
+            -2.19747672e00 + 53.47374311j,
+            1.86245241e01 + 66.56951352j,
+            2.65234275e00 + 89.33983678j,
+            -2.94989399e00 + 73.40544312j,
+            2.31553338e01 + 88.22587886j,
+            4.16269453e00 + 118.22389548j,
+            -4.66524583e00 + 98.31868989j,
+            3.07626943e01 + 116.67578417j,
+            6.41211027e00 + 160.3569522j,
+            -8.36053398e00 + 133.90634108j,
+            4.61970915e01 + 160.6857645j,
+            1.14408149e01 + 237.02472112j,
+            -1.72907188e01 + 200.58798515j,
+            9.34171798e01 + 257.88692816j,
+            4.19201258e01 + 475.3131594j,
+            -3.28372915e01 + 498.40274299j,
+            1.47161715e03 + 896.91077291j,
+            4.46726052e02 - 1074.75272128j,
+            1.48368867e02 - 150.95840903j,
+            -7.65707535e01 - 95.4006897j,
+            4.13011813e01 - 115.5293095j,
+            5.96957058e01 + 64.38392007j,
+            -4.17351813e01 + 65.90769948j,
+            4.16431845e01 + 45.42941094j,
+            5.22637205e01 + 182.75009977j,
+            -2.42252500e01 + 183.45582422j,
+            8.56170191e01 + 206.784262j,
+            9.77958353e01 + 444.21692899j,
+            8.26325734e01 + 560.54204926j,
+            1.44414393e03 + 765.73788438j,
+            7.29867370e02 - 1096.11716581j,
+            1.17986711e02 - 317.31632024j,
+            -4.56173056e01 - 277.3675436j,
+            7.54525872e01 - 200.5232469j,
+            2.20725250e01 - 36.10606952j,
+            -3.94369541e01 - 81.45040661j,
+            6.08389766e01 - 53.3224972j,
+            1.97319998e01 + 64.35491532j,
+            -1.82274232e01 + 4.8794245j,
+        ]
+    )
+
+    Ez = np.array(
+        [
+            2.21799580e01,
+            -5.78362380e00,
+            -6.00531608e00,
+            -1.01718118e00,
+            1.73468186e00,
+            1.29313000e00,
+            -9.69312994e00,
+            -2.59107426e01,
+            -4.73006858e01,
+            -7.11016384e01,
+            -9.36971115e01,
+            -1.12676454e02,
+            -1.28296571e02,
+            -1.40866374e02,
+            -1.48363099e02,
+            -1.51635428e02,
+            -1.48185125e02,
+            -1.37740237e02,
+            -1.19948398e02,
+            -9.23354987e01,
+            -6.04105997e01,
+            -3.06532160e01,
+            -1.17749936e01,
+            -3.12574866e00,
+            -7.35339521e-01,
+            -1.13085658e-01,
+            7.18247535e-01,
+            8.73829036e-02,
+        ]
+    )
+
+    gridLogs = {
+        "use_mesh_refinement": False,
+        "Nx": 60,
+        "Ny": 60,
+        "Nz": 140,
+        "dx": 0.00866666634877522,
+        "dy": 0.00866666634877522,
+        "dz": 0.005714285799435207,
+        "xmin": -0.25999999046325684,
+        "xmax": 0.25999999046325684,
+        "ymin": -0.25999999046325684,
+        "ymax": 0.25999999046325684,
+        "zmin": -0.25,
+        "zmax": 0.550000011920929,
+        "stl_solids": {
+            "cavity": "tests/stl/007_vacuum_cavity.stl",
+            "shell": "tests/stl/007_lossymetal_shell.stl",
+        },
+        "stl_materials": {"cavity": "vacuum", "shell": [30, 1.0, 30]},
+        "gridInitializationTime": 0,
+    }
+
+    solverLogs = {
+        "use_gpu": False,
+        "use_mpi": False,
+        "background": "pec",
+        "bc_low": ["pec", "pec", "pec"],
+        "bc_high": ["pec", "pec", "pec"],
+        "dt": 6.970326728398966e-12,
+        "solverInitializationTime": 0,
+    }
+
+    wakeSolverLogs = {
+        "ti": 2.8516132094735135e-09,
+        "q": 1e-09,
+        "sigmaz": 0.1,
+        "beta": 1.0,
+        "xsource": 0.0,
+        "ysource": 0.0,
+        "xtest": 0.0,
+        "ytest": 0.0,
+        "chargedist": None,
+        "skip_cells": 10,
+        "results_folder": "tests/007_results/",
+        "wakelength": 10.0,
+        "simulationTime": 0,
+    }
+
+    img_folder = "tests/007_img/"
 
     def test_mpi_import(self):
         # ---------- MPI setup ------------
@@ -125,20 +292,18 @@ def test_mpi_import(self):
         print(f"Using mpi: {use_mpi}")
 
     def test_mpi_simulation(self):
-
         # ---------- Domain setup ---------
 
         # Geometry & Materials
-        solid_1 = 'tests/stl/007_vacuum_cavity.stl'
-        solid_2 = 'tests/stl/007_lossymetal_shell.stl'
+        solid_1 = "tests/stl/007_vacuum_cavity.stl"
+        solid_2 = "tests/stl/007_lossymetal_shell.stl"
 
-        stl_solids = {'cavity': solid_1,
-                    'shell': solid_2
-                    }
+        stl_solids = {"cavity": solid_1, "shell": solid_2}
 
-        stl_materials = {'cavity': 'vacuum',
-                        'shell': [30, 1.0, 30] #[eps_r, mu_r, sigma[S/m]]
-                        }
+        stl_materials = {
+            "cavity": "vacuum",
+            "shell": [30, 1.0, 30],  # [eps_r, mu_r, sigma[S/m]]
+        }
 
         # Extract domain bounds from geometry
         solids = pv.read(solid_1) + pv.read(solid_2)
@@ -149,44 +314,55 @@ def test_mpi_simulation(self):
         Ny = 60
         NZ = 140
         global use_mpi
-        grid = GridFIT3D(xmin, xmax, ymin, ymax, ZMIN, ZMAX,
-                        Nx, Ny, NZ,
-                        use_mpi=use_mpi, # Enables MPI subdivision of the domain
-                        stl_solids=stl_solids,
-                        stl_materials=stl_materials,
-                        stl_scale=1.0,
-                        stl_rotate=[0,0,0],
-                        stl_translate=[0,0,0],
-                        verbose=1)
+        grid = GridFIT3D(
+            xmin,
+            xmax,
+            ymin,
+            ymax,
+            ZMIN,
+            ZMAX,
+            Nx,
+            Ny,
+            NZ,
+            use_mpi=use_mpi,  # Enables MPI subdivision of the domain
+            stl_solids=stl_solids,
+            stl_materials=stl_materials,
+            stl_scale=1.0,
+            stl_rotate=[0, 0, 0],
+            stl_translate=[0, 0, 0],
+            verbose=1,
+        )
         if use_mpi:
-            print(f"Process {grid.rank}: Handling Z range {grid.zmin} to {grid.zmax} with {grid.Nz} cells")
+            print(
+                f"Process {grid.rank}: Handling Z range {grid.zmin} to {grid.zmax} with {grid.Nz} cells"
+            )
 
         # ------------ Beam source & Wake ----------------
         # Beam parameters
-        sigmaz = 10e-2      #[m] -> 2 GHz
-        q = 1e-9            #[C]
-        beta = 1.0          # beam beta
-        xs = 0.             # x source position [m]
-        ys = 0.             # y source position [m]
-        ti = 3*sigmaz/c     # injection time [s]
+        sigmaz = 10e-2  # [m] -> 2 GHz
+        q = 1e-9  # [C]
+        beta = 1.0  # beam beta
+        xs = 0.0  # x source position [m]
+        ys = 0.0  # y source position [m]
+        ti = 3 * sigmaz / c  # injection time [s]
 
-        beam = Beam(q=q, sigmaz=sigmaz, beta=beta,
-                    xsource=xs, ysource=ys, ti=ti)
+        beam = Beam(q=q, sigmaz=sigmaz, beta=beta, xsource=xs, ysource=ys, ti=ti)
 
         # ----------- Solver & Simulation ----------
         # boundary conditions
-        bc_low=['pec', 'pec', 'pec']
-        bc_high=['pec', 'pec', 'pec']
+        bc_low = ["pec", "pec", "pec"]
+        bc_high = ["pec", "pec", "pec"]
 
         # Solver setup
         global solver
-        solver = SolverFIT3D(grid,
-                            bc_low=bc_low,
-                            bc_high=bc_high,
-                            use_stl=True,
-                            use_mpi=use_mpi, # Activate MPI
-                            bg='pec' # Background material
-                            )
+        solver = SolverFIT3D(
+            grid,
+            bc_low=bc_low,
+            bc_high=bc_high,
+            use_stl=True,
+            use_mpi=use_mpi,  # Activate MPI
+            bg="pec",  # Background material
+        )
 
         # -------------- Output folder ---------------------
         if use_mpi and solver.rank == 0:
@@ -200,57 +376,81 @@ def test_mpi_simulation(self):
         if use_mpi:
             Nt = 3000
             for n in tqdm(range(Nt)):
-
-                beam.update(solver, n*solver.dt)
+                beam.update(solver, n * solver.dt)
                 solver.mpi_one_step()
 
-            Ez = solver.mpi_gather('Ez', x=int(Nx/2), y=int(Ny/2))
+            Ez = solver.mpi_gather("Ez", x=int(Nx / 2), y=int(Ny / 2))
             if solver.rank == 0:
-                #print(Ez)
+                # print(Ez)
                 print(len(Ez))
                 assert len(Ez) == NZ, "Electric field Ez samples length mismatch"
-                assert np.allclose(Ez[np.s_[::5]], self.Ez, rtol=0.1), "Electric field Ez samples MPI failed"
+                assert np.allclose(Ez[np.s_[::5]], self.Ez, rtol=0.1), (
+                    "Electric field Ez samples MPI failed"
+                )
         else:
             Nt = 3000
             for n in tqdm(range(Nt)):
-
-                beam.update(solver, n*solver.dt)
+                beam.update(solver, n * solver.dt)
                 solver.one_step()
 
-            Ez = solver.E[int(Nx/2), int(Ny/2), np.s_[::5], 'z']
-            #print(Ez)
-            assert len(solver.E[int(Nx/2), int(Ny/2), :, 'z']) == NZ, "Electric field Ez samples length mismatch"
-            assert np.allclose(Ez, self.Ez, rtol=0.1), "Electric field Ez samples failed"
+            Ez = solver.E[int(Nx / 2), int(Ny / 2), np.s_[::5], "z"]
+            # print(Ez)
+            assert len(solver.E[int(Nx / 2), int(Ny / 2), :, "z"]) == NZ, (
+                "Electric field Ez samples length mismatch"
+            )
+            assert np.allclose(Ez, self.Ez, rtol=0.1), (
+                "Electric field Ez samples failed"
+            )
 
     def test_mpi_gather_asField(self):
         # Plot inspect after mpi gather
         global solver
         if use_mpi:
-            E = solver.mpi_gather_asField('E')
-            if solver.rank == 0: #custom plots go in rank 0
-                fig, ax = E.inspect(figsize=[20,6], plane='YZ', show=False, handles=True)
-                fig.savefig(self.img_folder+'Einspect_'+str(3000).zfill(4)+'.png')
+            E = solver.mpi_gather_asField("E")
+            if solver.rank == 0:  # custom plots go in rank 0
+                fig, ax = E.inspect(
+                    figsize=[20, 6], plane="YZ", show=False, handles=True
+                )
+                fig.savefig(self.img_folder + "Einspect_" + str(3000).zfill(4) + ".png")
                 plt.close(fig)
         else:
-            fig, ax = solver.E.inspect(figsize=[20,6], plane='YZ', show=False, handles=True)
-            fig.savefig(self.img_folder+'Einspect_'+str(3000).zfill(4)+'.png')
+            fig, ax = solver.E.inspect(
+                figsize=[20, 6], plane="YZ", show=False, handles=True
+            )
+            fig.savefig(self.img_folder + "Einspect_" + str(3000).zfill(4) + ".png")
             plt.close(fig)
 
     def test_mpi_plot2D(self):
         # Plot E abs in 2D every 20 timesteps
         global solver
-        solver.plot2D(field='E', component='Abs',
-                    plane='YZ', pos=0.5,
-                    cmap='rainbow', vmin=0, vmax=500., interpolation='hanning',
-                    off_screen=True, title=self.img_folder+'Ez2d', n=3000)
+        solver.plot2D(
+            field="E",
+            component="Abs",
+            plane="YZ",
+            pos=0.5,
+            cmap="rainbow",
+            vmin=0,
+            vmax=500.0,
+            interpolation="hanning",
+            off_screen=True,
+            title=self.img_folder + "Ez2d",
+            n=3000,
+        )
 
     def test_mpi_plot1D(self):
         # Plot E z in 1D at diferent transverse positions `pos` every 20 timesteps
         global solver
-        solver.plot1D(field='E', component='z',
-                line='z', pos=[0.45, 0.5, 0.55],
-                xscale='linear', yscale='linear',
-                off_screen=True, title=self.img_folder+'Ez1d', n=3000)
+        solver.plot1D(
+            field="E",
+            component="z",
+            line="z",
+            pos=[0.45, 0.5, 0.55],
+            xscale="linear",
+            yscale="linear",
+            off_screen=True,
+            title=self.img_folder + "Ez1d",
+            n=3000,
+        )
 
     def test_mpi_wakefield(self):
         # Reset fields
@@ -259,62 +459,84 @@ def test_mpi_wakefield(self):
 
         # ------------ Beam source ----------------
         # Beam parameters
-        sigmaz = 10e-2      #[m] -> 2 GHz
-        q = 1e-9            #[C]
-        beta = 1.0          # beam beta
-        xs = 0.             # x source position [m]
-        ys = 0.             # y source position [m]
-        xt = 0.             # x test position [m]
-        yt = 0.             # y test position [m]
+        sigmaz = 10e-2  # [m] -> 2 GHz
+        q = 1e-9  # [C]
+        beta = 1.0  # beam beta
+        xs = 0.0  # x source position [m]
+        ys = 0.0  # y source position [m]
+        xt = 0.0  # x test position [m]
+        yt = 0.0  # y test position [m]
         # [DEFAULT] tinj = 8.53*sigmaz/c_light  # injection time offset [s]
 
         # ----------- Wake Solver  setup  ----------
         # Wakefield post-processor
-        wakelength = 10. # [m] -> Partially decayed
+        wakelength = 10.0  # [m] -> Partially decayed
         skip_cells = 10  # no. cells to skip at zlo/zhi for wake integration
-        results_folder = 'tests/007_results/'
+        results_folder = "tests/007_results/"
 
         global wake
-        wake = WakeSolver(q=q, sigmaz=sigmaz, beta=beta,
-                        xsource=xs, ysource=ys, xtest=xt, ytest=yt,
-                        skip_cells=skip_cells,
-                        results_folder=results_folder,
-                        Ez_file=results_folder+'Ez.h5',)
+        wake = WakeSolver(
+            q=q,
+            sigmaz=sigmaz,
+            beta=beta,
+            xsource=xs,
+            ysource=ys,
+            xtest=xt,
+            ytest=yt,
+            skip_cells=skip_cells,
+            results_folder=results_folder,
+            Ez_file=results_folder + "Ez.h5",
+        )
 
         # Run simulation
-        solver.wakesolve(wakelength=wakelength,
-                         wake=wake)
+        solver.wakesolve(wakelength=wakelength, wake=wake)
 
     def test_long_wake_potential(self):
         global wake
         global solver
         if use_mpi:
             if solver.rank == 0:
-                #print(wake.WP[::50])
+                # print(wake.WP[::50])
                 print(len(wake.WP))
                 assert len(wake.WP) == 5195, "Wake potential samples length mismatch"
-                assert np.allclose(wake.WP[::50], self.WP, rtol=0.1), "Wake potential samples failed"
-                assert np.cumsum(np.abs(wake.WP))[-1] == pytest.approx(184.43818552913254, 0.1), "Wake potential cumsum MPI failed"
+                assert np.allclose(wake.WP[::50], self.WP, rtol=0.1), (
+                    "Wake potential samples failed"
+                )
+                assert np.cumsum(np.abs(wake.WP))[-1] == pytest.approx(
+                    184.43818552913254, 0.1
+                ), "Wake potential cumsum MPI failed"
         else:
-            #print(wake.WP[::50])
+            # print(wake.WP[::50])
             assert len(wake.WP) == 5195, "Wake potential samples length mismatch"
-            assert np.allclose(wake.WP[::50], self.WP, rtol=0.1), "Wake potential samples failed"
-            assert np.cumsum(np.abs(wake.WP))[-1] == pytest.approx(184.43818552913254, 0.1), "Wake potential cumsum MPI failed"
+            assert np.allclose(wake.WP[::50], self.WP, rtol=0.1), (
+                "Wake potential samples failed"
+            )
+            assert np.cumsum(np.abs(wake.WP))[-1] == pytest.approx(
+                184.43818552913254, 0.1
+            ), "Wake potential cumsum MPI failed"
 
     def test_long_impedance(self):
         global wake
         global solver
         if use_mpi:
             if solver.rank == 0:
-                #print(wake.Z[::20])
+                # print(wake.Z[::20])
                 print(len(wake.Z))
                 assert len(wake.Z) == 998, "Impedance samples length mismatch"
-                assert np.allclose(np.abs(wake.Z)[::20], np.abs(self.Z), rtol=0.1), "Abs Impedance samples MPI failed"
-                assert np.allclose(np.real(wake.Z)[::20], np.real(self.Z), rtol=0.1), "Real Impedance samples MPI failed"
-                assert np.allclose(np.imag(wake.Z)[::20], np.imag(self.Z), rtol=0.1), "Imag Impedance samples MPI failed"
-                assert np.cumsum(np.abs(wake.Z))[-1] == pytest.approx(250910.51090497518, 0.1), "Abs Impedance cumsum MPI failed"
+                assert np.allclose(np.abs(wake.Z)[::20], np.abs(self.Z), rtol=0.1), (
+                    "Abs Impedance samples MPI failed"
+                )
+                assert np.allclose(np.real(wake.Z)[::20], np.real(self.Z), rtol=0.1), (
+                    "Real Impedance samples MPI failed"
+                )
+                assert np.allclose(np.imag(wake.Z)[::20], np.imag(self.Z), rtol=0.1), (
+                    "Imag Impedance samples MPI failed"
+                )
+                assert np.cumsum(np.abs(wake.Z))[-1] == pytest.approx(
+                    250910.51090497518, 0.1
+                ), "Abs Impedance cumsum MPI failed"
         else:
-            #print(wake.Z[::20])
+            # print(wake.Z[::20])
             assert len(wake.Z) == 998, "Impedance samples length mismatch"
             assert np.allclose(np.abs(wake.Z)[::20], np.abs(self.Z), rtol=0.1), "Abs Impedance samples failed"
             assert np.allclose(np.real(wake.Z)[::20], np.real(self.Z), rtol=0.1), "Real Impedance samples failed"
@@ -324,8 +546,9 @@ def test_long_impedance(self):
     def test_log_file(self):       
         # Helper function to compare nested dicts with float tolerance
         def assert_dict_allclose(d1, d2, rtol=1e-6, atol=1e-12, path=""):
-            assert set(d1.keys()) == set(d2.keys()), \
+            assert set(d1.keys()) == set(d2.keys()), (
                 f"Key mismatch at {path}: {set(d1.keys())} != {set(d2.keys())}"
+            )
 
             for k in d1:
                 v1, v2 = d1[k], d2[k]
@@ -348,8 +571,9 @@ def assert_dict_allclose(d1, d2, rtol=1e-6, atol=1e-12, path=""):
                     assert len(v1) == len(v2), f"Length mismatch at {p}"
                     for i, (a, b) in enumerate(zip(v1, v2)):
                         if isinstance(a, float) and isinstance(b, float):
-                            assert np.isclose(a, b, rtol=rtol, atol=atol), \
+                            assert np.isclose(a, b, rtol=rtol, atol=atol), (
                                 f"Float mismatch at {p}[{i}]: {a} != {b}"
+                            )
                         else:
                             assert a == b, f"Value mismatch at {p}[{i}]: {a} != {b}"
 
@@ -373,7 +597,7 @@ def assert_dict_allclose(d1, d2, rtol=1e-6, atol=1e-12, path=""):
         solver.logger.grid["gridInitializationTime"] = 0
         solver.logger.solver["solverInitializationTime"] = 0
         solver.logger.wakeSolver["simulationTime"] = 0
-        self.solverLogs['use_mpi'] = use_mpi
+        self.solverLogs["use_mpi"] = use_mpi
 
         # Check log file exists
         logfile = os.path.join(solver.logger.wakeSolver["results_folder"], "wakis.log")
diff --git a/tests/test_008_3D_plotting.py b/tests/test_008_3D_plotting.py
index 6660c50..098bc82 100644
--- a/tests/test_008_3D_plotting.py
+++ b/tests/test_008_3D_plotting.py
@@ -1,8 +1,7 @@
 import os
-import sys
 import pyvista as pv
 
-sys.path.append('../wakis')
+
 
 from tqdm import tqdm
 from scipy.constants import c
@@ -17,29 +16,26 @@
 # Turn False when running local
 flag_offscreen = True
 
+
 @pytest.mark.slow
 class Test3Dplotting:
-
-    img_folder = 'tests/008_img/'
+    img_folder = "tests/008_img/"
 
     def test_simulation(self):
-
         # ---------- Domain setup ---------
 
         # Geometry & Materials
-        solid_1 = 'tests/stl/007_vacuum_cavity.stl'
-        solid_2 = 'tests/stl/007_lossymetal_shell.stl'
+        solid_1 = "tests/stl/007_vacuum_cavity.stl"
+        solid_2 = "tests/stl/007_lossymetal_shell.stl"
 
-        stl_solids = {'cavity': solid_1,
-                    'shell': solid_2
-                    }
+        stl_solids = {"cavity": solid_1, "shell": solid_2}
 
-        stl_materials = {'cavity': 'vacuum',
-                        'shell': [30, 1.0, 30] #[eps_r, mu_r, sigma[S/m]]
-                        }
+        stl_materials = {
+            "cavity": "vacuum",
+            "shell": [30, 1.0, 30],  # [eps_r, mu_r, sigma[S/m]]
+        }
 
-        stl_colors = {'cavity': 'tab:blue',
-                    'shell': 'silver'}
+        stl_colors = {"cavity": "tab:blue", "shell": "silver"}
 
         # Extract domain bounds from geometry
         solids = pv.read(solid_1) + pv.read(solid_2)
@@ -50,46 +46,55 @@ def test_simulation(self):
         Ny = 60
         NZ = 140
 
-        grid = GridFIT3D(xmin, xmax, ymin, ymax, ZMIN, ZMAX,
-                        Nx, Ny, NZ,
-                        use_mpi=False, # Enables MPI subdivision of the domain
-                        stl_solids=stl_solids,
-                        stl_materials=stl_materials,
-                        stl_colors=stl_colors,
-                        stl_scale=1.0,
-                        stl_rotate=[0,0,0],
-                        stl_translate=[0,0,0],
-                        verbose=1)
+        grid = GridFIT3D(
+            xmin,
+            xmax,
+            ymin,
+            ymax,
+            ZMIN,
+            ZMAX,
+            Nx,
+            Ny,
+            NZ,
+            use_mpi=False,  # Enables MPI subdivision of the domain
+            stl_solids=stl_solids,
+            stl_materials=stl_materials,
+            stl_colors=stl_colors,
+            stl_scale=1.0,
+            stl_rotate=[0, 0, 0],
+            stl_translate=[0, 0, 0],
+            verbose=1,
+        )
 
         # ------------ Beam source & Wake ----------------
         # Beam parameters
-        sigmaz = 10e-2      #[m] -> 2 GHz
-        q = 1e-9            #[C]
-        beta = 1.0          # beam beta
-        xs = 0.             # x source position [m]
-        ys = 1e-2           # y source position [m]
-        ti = 3*sigmaz/c     # injection time [s]
+        sigmaz = 10e-2  # [m] -> 2 GHz
+        q = 1e-9  # [C]
+        beta = 1.0  # beam beta
+        xs = 0.0  # x source position [m]
+        ys = 1e-2  # y source position [m]
+        ti = 3 * sigmaz / c  # injection time [s]
 
-        beam = Beam(q=q, sigmaz=sigmaz, beta=beta,
-                    xsource=xs, ysource=ys, ti=ti)
+        beam = Beam(q=q, sigmaz=sigmaz, beta=beta, xsource=xs, ysource=ys, ti=ti)
 
-        wake = WakeSolver(q=q, sigmaz=sigmaz, beta=beta,
-                         xsource=xs, ysource=ys, ti=ti)
+        wake = WakeSolver(q=q, sigmaz=sigmaz, beta=beta, xsource=xs, ysource=ys, ti=ti)
 
         # ----------- Solver & Simulation ----------
         # boundary conditions
-        bc_low=['pec', 'pec', 'pec']
-        bc_high=['pec', 'pec', 'pec']
+        bc_low = ["pec", "pec", "pec"]
+        bc_high = ["pec", "pec", "pec"]
 
         # Solver setup
         global solver
-        solver = SolverFIT3D(grid, wake,
-                            bc_low=bc_low,
-                            bc_high=bc_high,
-                            use_stl=True,
-                            use_mpi=False, # Activate MPI
-                            bg='pec' # Background material
-                            )
+        solver = SolverFIT3D(
+            grid,
+            wake,
+            bc_low=bc_low,
+            bc_high=bc_high,
+            use_stl=True,
+            use_mpi=False,  # Activate MPI
+            bg="pec",  # Background material
+        )
 
         # -------------- Output folder ---------------------
         if not os.path.exists(self.img_folder):
@@ -98,67 +103,96 @@ def test_simulation(self):
         # -------------- Custom time loop  -----------------
         Nt = 1000
         for n in tqdm(range(Nt)):
-            beam.update(solver, n*solver.dt)
+            beam.update(solver, n * solver.dt)
             solver.one_step()
 
     def test_grid_inspect(self):
         # Plot grid and imported solids
         global solver
-        pl = solver.grid.inspect(add_stl=['cavity', 'shell'],
-                            stl_opacity=0.1, off_screen=flag_offscreen,
-                            anti_aliasing='ssaa')
+        pl = solver.grid.inspect(
+            add_stl=["cavity", "shell"],
+            stl_opacity=0.1,
+            off_screen=flag_offscreen,
+            anti_aliasing="ssaa",
+        )
         if flag_offscreen:
-            #pl.screenshot(self.img_folder+'grid_inspect.png')
-            pl.export_html(self.img_folder+'grid_inspect.html')
+            # pl.screenshot(self.img_folder+'grid_inspect.png')
+            pl.export_html(self.img_folder + "grid_inspect.html")
 
     def test_grid_plot_solids(self):
         # Plot only imported solids
         global solver
-        solver.grid.plot_solids(bounding_box=True,
-                                show_grid=False,
-                                opacity=1,
-                                specular=0.5,
-                                smooth_shading=False,
-                                off_screen=flag_offscreen,)
+        solver.grid.plot_solids(
+            bounding_box=True,
+            show_grid=False,
+            opacity=1,
+            specular=0.5,
+            smooth_shading=False,
+            off_screen=flag_offscreen,
+        )
 
     def test_grid_stl_mask(self):
         # Plot STL solid masks in the grid
         global solver
-        solver.grid.plot_stl_mask(stl_solid='cavity',
-                                  cmap='viridis',
-                                  add_stl='all',
-                                  stl_opacity=0.5,
-                                  smooth_shading=False,
-                                  anti_aliasing='ssaa',
-                                  ymax=0.0,
-                                  off_screen=flag_offscreen,)
+        solver.grid.plot_stl_mask(
+            stl_solid="cavity",
+            cmap="viridis",
+            add_stl="all",
+            stl_opacity=0.5,
+            smooth_shading=False,
+            anti_aliasing="ssaa",
+            ymax=0.0,
+            off_screen=flag_offscreen,
+        )
 
     def test_solver_inspect(self):
         # Plot imported solids and beam source and integraiton path
         global solver
-        pl = solver.inspect(window_size=(1200,800), off_screen=flag_offscreen,
-                            specular=0., opacity=1, inactive_opacity=0.1,
-                            add_silhouette=True,)
+        pl = solver.inspect(
+            window_size=(1200, 800),
+            off_screen=flag_offscreen,
+            specular=0.0,
+            opacity=1,
+            inactive_opacity=0.1,
+            add_silhouette=True,
+        )
         if flag_offscreen:
-            #pl.screenshot(self.img_folder+'solver_inspect.png')
-            pl.export_html(self.img_folder+'solver_inspect.html')
+            # pl.screenshot(self.img_folder+'solver_inspect.png')
+            pl.export_html(self.img_folder + "solver_inspect.html")
 
     def test_plot3D(self):
         # Plot Abs Electric field on domain
         global solver
-        solver.plot3D('E', component='z',
-                cmap='rainbow', clim=[0, 500],
-                add_stl=['cavity', 'shell'], stl_opacity=0.1,
-                clip_interactive=True, clip_normal='-y',
-                title=self.img_folder+'Ez3d',
-                off_screen=flag_offscreen)
+        solver.plot3D(
+            "E",
+            component="z",
+            cmap="rainbow",
+            clim=[0, 500],
+            add_stl=["cavity", "shell"],
+            stl_opacity=0.1,
+            clip_interactive=True,
+            clip_normal="-y",
+            title=self.img_folder + "Ez3d",
+            off_screen=flag_offscreen,
+        )
 
     def test_plot3DonSTL(self):
         # Plot Abs Electric field on STL solid `cavity`
         global solver
-        solver.plot3DonSTL('E', component='Abs',
-                        cmap='rainbow', clim=[0, 500],
-                        stl_with_field='cavity', field_opacity=1.0,
-                        stl_transparent='shell', stl_opacity=0.1, stl_colors='white',
-                        clip_plane=True, clip_normal='-y', clip_origin=[0,0,0],
-                        off_screen=flag_offscreen, zoom=1.2, title=self.img_folder+'EAbs3donSTL')
+        solver.plot3DonSTL(
+            "E",
+            component="Abs",
+            cmap="rainbow",
+            clim=[0, 500],
+            stl_with_field="cavity",
+            field_opacity=1.0,
+            stl_transparent="shell",
+            stl_opacity=0.1,
+            stl_colors="white",
+            clip_plane=True,
+            clip_normal="-y",
+            clip_origin=[0, 0, 0],
+            off_screen=flag_offscreen,
+            zoom=1.2,
+            title=self.img_folder + "EAbs3donSTL",
+        )
diff --git a/uv.lock b/uv.lock
new file mode 100644
index 0000000..66360a7
--- /dev/null
+++ b/uv.lock
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+]
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diff --git a/wakis/__init__.py b/wakis/__init__.py
index 57ba37f..7ac4a39 100644
--- a/wakis/__init__.py
+++ b/wakis/__init__.py
@@ -3,6 +3,28 @@
 # Copyright (c) CERN, 2024.                   #
 # ########################################### #
 
+
+__all__ = [
+    # submodules
+    "field",
+    "gridFIT3D",
+    "solverFIT3D",
+    "sources",
+    "materials",
+    "wakeSolver",
+    "geometry",
+    "logger",
+    "field_monitors",
+    "FieldMonitor",
+    "Field",
+    "GridFIT3D",
+    "SolverFIT3D",
+    "WakeSolver",
+    "Logger",
+    "__version__",
+]
+
+
 from . import field
 from . import gridFIT3D
 from . import solverFIT3D
@@ -20,4 +42,4 @@
 from .wakeSolver import WakeSolver
 from .logger import Logger
 
-from ._version import __version__
\ No newline at end of file
+from ._version import __version__
diff --git a/wakis/_version.py b/wakis/_version.py
index 3966a5f..43c4ab0 100644
--- a/wakis/_version.py
+++ b/wakis/_version.py
@@ -1 +1 @@
-__version__ = '0.6.1'
\ No newline at end of file
+__version__ = "0.6.1"
diff --git a/wakis/conductors.py b/wakis/conductors.py
index 1f02a2d..33389b6 100644
--- a/wakis/conductors.py
+++ b/wakis/conductors.py
@@ -1,6 +1,7 @@
 import numpy as np
 import scipy.optimize
 
+
 class OutRect:
     def __init__(self, Lx, Ly, x_cent, y_cent):
         self.Lx = Lx
@@ -14,7 +15,8 @@ def __init__(self, Lx, Ly, x_cent, y_cent):
     def out_conductor(self, x, y):
         # [xx, yy] = np.dot(self.mR, np.array([x, y]))
         return (-0.5 * self.Lx + self.x_cent < x < 0.5 * self.Lx + self.x_cent) and (
-                -0.5 * self.Ly + self.y_cent < y < 0.5 * self.Ly + self.y_cent)
+            -0.5 * self.Ly + self.y_cent < y < 0.5 * self.Ly + self.y_cent
+        )
 
     def in_conductor(self, x, y):
         return not self.out_conductor(x, y)
@@ -43,6 +45,7 @@ def intersec_y(self, x, y):
         # [_, yyy] = np.dot(self.R, np.array([xx, inters]))
         # return yyy
 
+
 class ImpFunc:
     def __init__(self, func):
         self.func = func
@@ -54,15 +57,18 @@ def in_conductor(self, x, y):
         return self.func(x, y) > 0
 
     def intersec_x(self, x, y):
-        func_x = lambda t : self.func(t, y)
+        def func_x(t):
+            return self.func(t, y)
 
         return scipy.optimize.newton_krylov(func_x, x)
 
     def intersec_y(self, x, y):
-        func_y = lambda t : self.func(x, t)
+        def func_y(t):
+            return self.func(x, t)
 
         return scipy.optimize.newton_krylov(func_y, y)
-        
+
+
 class Plane:
     def __init__(self, m_plane, q_plane, tol=0, sign=1):
         self.tol = tol  # 1e-16
@@ -76,7 +82,7 @@ def in_conductor(self, x, y):
         elif self.sign == -1:
             return y - self.m_plane * x - self.q_plane <= self.tol
         else:
-            print('sign must be + or - 1')
+            print("sign must be + or - 1")
 
     def out_conductor(self, x, y):
         return not self.in_conductor(x, y)
@@ -95,15 +101,23 @@ def __init__(self, radius, x_cent, y_cent):
         self.y_cent = y_cent
 
     def in_conductor(self, x, y):
-        return np.square(x - self.x_cent) + np.square(y - self.y_cent) <= np.square(self.radius)
+        return np.square(x - self.x_cent) + np.square(y - self.y_cent) <= np.square(
+            self.radius
+        )
 
     def out_conductor(self, x, y):
         return not self.in_conductor(x, y)
 
     def intersec_x(self, x, y):
         if abs(y - self.y_cent) <= self.radius:
-            inters_1 = np.sqrt(np.square(self.radius) - np.square(y - self.y_cent)) + self.y_cent
-            inters_2 = -np.sqrt(np.square(self.radius) - np.square(y - self.y_cent)) + self.y_cent
+            inters_1 = (
+                np.sqrt(np.square(self.radius) - np.square(y - self.y_cent))
+                + self.y_cent
+            )
+            inters_2 = (
+                -np.sqrt(np.square(self.radius) - np.square(y - self.y_cent))
+                + self.y_cent
+            )
             if abs(x - inters_1) < abs(x - inters_2):
                 return inters_1
             else:
@@ -113,8 +127,14 @@ def intersec_x(self, x, y):
 
     def intersec_y(self, x, y):
         if abs(x - self.x_cent) <= self.radius:
-            inters_1 = np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)) + self.x_cent
-            inters_2 = -np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)) + self.x_cent
+            inters_1 = (
+                np.sqrt(np.square(self.radius) - np.square(x - self.x_cent))
+                + self.x_cent
+            )
+            inters_2 = (
+                -np.sqrt(np.square(self.radius) - np.square(x - self.x_cent))
+                + self.x_cent
+            )
             if abs(y - inters_1) < abs(y - inters_2):
                 return inters_1
             else:
@@ -130,15 +150,21 @@ def __init__(self, radius, x_cent, y_cent):
         self.y_cent = y_cent
 
     def in_conductor(self, x, y):
-        return np.square(x - self.x_cent) + np.square(y - self.y_cent) >= np.square(self.radius)
+        return np.square(x - self.x_cent) + np.square(y - self.y_cent) >= np.square(
+            self.radius
+        )
 
     def out_conductor(self, x, y):
         return not self.in_conductor(x, y)
 
     def intersec_x(self, x, y):
         # if abs(y - self.y_cent) > self.radius:
-        inters_1 = np.sqrt(np.square(self.radius) - np.square(y - self.y_cent)) + self.x_cent
-        inters_2 = -np.sqrt(np.square(self.radius) - np.square(y - self.y_cent)) + self.x_cent
+        inters_1 = (
+            np.sqrt(np.square(self.radius) - np.square(y - self.y_cent)) + self.x_cent
+        )
+        inters_2 = (
+            -np.sqrt(np.square(self.radius) - np.square(y - self.y_cent)) + self.x_cent
+        )
         if abs(x - inters_1) < abs(x - inters_2):
             return inters_1
         else:
@@ -148,8 +174,12 @@ def intersec_x(self, x, y):
 
     def intersec_y(self, x, y):
         # if abs(x - self.x_cent) > self.radius:
-        inters_1 = np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)) + self.y_cent
-        inters_2 = -np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)) + self.y_cent
+        inters_1 = (
+            np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)) + self.y_cent
+        )
+        inters_2 = (
+            -np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)) + self.y_cent
+        )
         if abs(y - inters_1) < abs(y - inters_2):
             return inters_1
         else:
@@ -201,4 +231,3 @@ def intersec_x(self, x, y):
 
     def intersec_y(self, x, y):
         return 1000
-
diff --git a/wakis/conductors3d.py b/wakis/conductors3d.py
index cbdaf24..32c87c3 100644
--- a/wakis/conductors3d.py
+++ b/wakis/conductors3d.py
@@ -41,7 +41,6 @@ def intersec_z(self, x, y, z):
 
 
 class InCube:
-
     def __init__(self, lx, ly, lz, x_cent, y_cent, z_cent):
         self.lx = lx
         self.ly = ly
@@ -51,9 +50,11 @@ def __init__(self, lx, ly, lz, x_cent, y_cent, z_cent):
         self.z_cent = z_cent
 
     def out_conductor(self, x, y, z):
-        return (-0.5 * self.lx + self.x_cent < x < 0.5 * self.lx + self.x_cent and
-                -0.5 * self.ly + self.y_cent < y < 0.5 * self.ly + self.y_cent and
-                -0.5 * self.lz + self.z_cent < z < 0.5 * self.lz + self.z_cent)
+        return (
+            -0.5 * self.lx + self.x_cent < x < 0.5 * self.lx + self.x_cent
+            and -0.5 * self.ly + self.y_cent < y < 0.5 * self.ly + self.y_cent
+            and -0.5 * self.lz + self.z_cent < z < 0.5 * self.lz + self.z_cent
+        )
 
     def in_conductor(self, x, y, z):
         return not self.out_conductor(x, y, z)
@@ -84,7 +85,6 @@ def intersec_z(self, x, y, z):
 
 
 class InSphere:
-
     def __init__(self, radius, x_cent, y_cent, z_cent):
         self.radius = radius
         self.x_cent = x_cent
@@ -92,17 +92,30 @@ def __init__(self, radius, x_cent, y_cent, z_cent):
         self.z_cent = z_cent
 
     def in_conductor(self, x, y, z):
-        return (np.square(x - self.x_cent) + np.square(y - self.y_cent) + np.square(z - self.z_cent)
-                <= np.square(self.radius))
+        return np.square(x - self.x_cent) + np.square(y - self.y_cent) + np.square(
+            z - self.z_cent
+        ) <= np.square(self.radius)
 
     def out_conductor(self, x, y, z):
         return not self.out_conductor(x, y, z)
 
     def intersec_x(self, x, y, z):
-        inters_1 = (np.sqrt(np.square(self.radius) - np.square(y - self.y_cent)
-                            - np.square(z - self.z_cent)) + self.x_cent)
-        inters_2 = -(np.sqrt(np.square(self.radius) - np.square(y - self.y_cent)
-                             - np.square(z - self.z_cent)) + self.x_cent)
+        inters_1 = (
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(y - self.y_cent)
+                - np.square(z - self.z_cent)
+            )
+            + self.x_cent
+        )
+        inters_2 = -(
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(y - self.y_cent)
+                - np.square(z - self.z_cent)
+            )
+            + self.x_cent
+        )
 
         if abs(x - inters_1) < abs(x - inters_2):
             return inters_1
@@ -110,20 +123,44 @@ def intersec_x(self, x, y, z):
             return inters_2
 
     def intersec_y(self, x, y, z):
-        inters_1 = (np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)
-                            - np.square(z - self.z_cent)) + self.y_cent)
-        inters_2 = -(np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)
-                             - np.square(z - self.z_cent)) + self.y_cent)
+        inters_1 = (
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(x - self.x_cent)
+                - np.square(z - self.z_cent)
+            )
+            + self.y_cent
+        )
+        inters_2 = -(
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(x - self.x_cent)
+                - np.square(z - self.z_cent)
+            )
+            + self.y_cent
+        )
         if abs(y - inters_1) < abs(y - inters_2):
             return inters_1
         else:
             return inters_2
 
     def intersec_z(self, x, y, z):
-        inters_1 = (np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)
-                            - np.square(y - self.y_cent)) + self.z_cent)
-        inters_2 = -(np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)
-                             - np.square(y - self.y_cent)) + self.z_cent)
+        inters_1 = (
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(x - self.x_cent)
+                - np.square(y - self.y_cent)
+            )
+            + self.z_cent
+        )
+        inters_2 = -(
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(x - self.x_cent)
+                - np.square(y - self.y_cent)
+            )
+            + self.z_cent
+        )
         if abs(z - inters_1) < abs(z - inters_2):
             return inters_1
         else:
@@ -153,7 +190,12 @@ def __init__(self, p, n):
         self.n = n
 
     def in_conductor(self, x, y, z):
-        return self.n[0] * (x - self.p[0]) + self.n[1] * (y - self.p[1]) + self.n[2] * (z - self.p[2]) <= 0
+        return (
+            self.n[0] * (x - self.p[0])
+            + self.n[1] * (y - self.p[1])
+            + self.n[2] * (z - self.p[2])
+            <= 0
+        )
 
     def out_conductor(self, x, y, z):
         return not self.in_conductor(x, y, z)
@@ -162,19 +204,28 @@ def intersec_x(self, x, y, z):
         if self.n[0] == 0:
             return 1000
         else:
-            return -(self.n[1] * (y - self.p[1]) + self.n[2] * (z - self.p[2])) / self.n[0] + self.p[0]
+            return (
+                -(self.n[1] * (y - self.p[1]) + self.n[2] * (z - self.p[2])) / self.n[0]
+                + self.p[0]
+            )
 
     def intersec_y(self, x, y, z):
         if self.n[1] == 0:
             return 1000
         else:
-            return -(self.n[0] * (x - self.p[0]) + self.n[2] * (z - self.p[2])) / self.n[1] + self.p[1]
+            return (
+                -(self.n[0] * (x - self.p[0]) + self.n[2] * (z - self.p[2])) / self.n[1]
+                + self.p[1]
+            )
 
     def intersec_z(self, x, y, z):
         if self.n[2] == 0:
             return 1000
         else:
-            return -(self.n[0] * (x - self.p[0]) + self.n[1] * (y - self.p[1])) / self.n[2] + self.p[2]
+            return (
+                -(self.n[0] * (x - self.p[0]) + self.n[1] * (y - self.p[1])) / self.n[2]
+                + self.p[2]
+            )
 
 
 class OutSphere:
@@ -185,17 +236,30 @@ def __init__(self, radius, x_cent=0, y_cent=0, z_cent=0):
         self.z_cent = z_cent
 
     def in_conductor(self, x, y, z):
-        return (np.square(x - self.x_cent) + np.square(y - self.y_cent) + np.square(z - self.z_cent)
-                >= np.square(self.radius))
+        return np.square(x - self.x_cent) + np.square(y - self.y_cent) + np.square(
+            z - self.z_cent
+        ) >= np.square(self.radius)
 
     def out_conductor(self, x, y, z):
         return not self.in_conductor(x, y, z)
 
     def intersec_x(self, x, y, z):
-        inters_1 = (np.sqrt(np.square(self.radius) - np.square(y - self.y_cent)
-                            - np.square(z - self.z_cent)) + self.x_cent)
-        inters_2 = -(np.sqrt(np.square(self.radius) - np.square(y - self.y_cent)
-                             - np.square(z - self.z_cent)) + self.x_cent)
+        inters_1 = (
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(y - self.y_cent)
+                - np.square(z - self.z_cent)
+            )
+            + self.x_cent
+        )
+        inters_2 = -(
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(y - self.y_cent)
+                - np.square(z - self.z_cent)
+            )
+            + self.x_cent
+        )
 
         if abs(x - inters_1) < abs(x - inters_2):
             return inters_1
@@ -203,20 +267,44 @@ def intersec_x(self, x, y, z):
             return inters_2
 
     def intersec_y(self, x, y, z):
-        inters_1 = (np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)
-                            - np.square(z - self.z_cent)) + self.y_cent)
-        inters_2 = -(np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)
-                             - np.square(z - self.z_cent)) + self.y_cent)
+        inters_1 = (
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(x - self.x_cent)
+                - np.square(z - self.z_cent)
+            )
+            + self.y_cent
+        )
+        inters_2 = -(
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(x - self.x_cent)
+                - np.square(z - self.z_cent)
+            )
+            + self.y_cent
+        )
         if abs(y - inters_1) < abs(y - inters_2):
             return inters_1
         else:
             return inters_2
 
     def intersec_z(self, x, y, z):
-        inters_1 = (np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)
-                            - np.square(y - self.y_cent)) + self.z_cent)
-        inters_2 = -(np.sqrt(np.square(self.radius) - np.square(x - self.x_cent)
-                             - np.square(y - self.y_cent)) + self.z_cent)
+        inters_1 = (
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(x - self.x_cent)
+                - np.square(y - self.y_cent)
+            )
+            + self.z_cent
+        )
+        inters_2 = -(
+            np.sqrt(
+                np.square(self.radius)
+                - np.square(x - self.x_cent)
+                - np.square(y - self.y_cent)
+            )
+            + self.z_cent
+        )
         if abs(z - inters_1) < abs(z - inters_2):
             return inters_1
         else:
diff --git a/wakis/field.py b/wakis/field.py
index 02e0fad..831b5e3 100644
--- a/wakis/field.py
+++ b/wakis/field.py
@@ -9,26 +9,27 @@
 
 try:
     import cupy as xp_gpu
+
     imported_cupy = True
 except ImportError:
     imported_cupy = False
 
+
 class Field:
-    '''
+    """
     Class to switch from 3D to collapsed notation by
     defining the __getitem__ magic method
 
     linear numbering:
     n = 1 + (i-1) + (j-1)*Nx + (k-1)*Nx*Ny
     len(n) = Nx*Ny*Nz
-    '''
-    def __init__(self, Nx, Ny, Nz, dtype=float, 
-                 use_ones=False, use_gpu=False):
+    """
 
+    def __init__(self, Nx, Ny, Nz, dtype=float, use_ones=False, use_gpu=False):
         self.Nx = Nx
         self.Ny = Ny
         self.Nz = Nz
-        self.N = Nx*Ny*Nz
+        self.N = Nx * Ny * Nz
         self.dtype = dtype
         self.on_gpu = use_gpu
 
@@ -36,47 +37,47 @@ def __init__(self, Nx, Ny, Nz, dtype=float,
             if imported_cupy:
                 self.xp = xp_gpu
             else:
-                print('*** cupy could not be imported, please CUDA check installation')
+                print("*** cupy could not be imported, please CUDA check installation")
         else:
             self.xp = xp
-            
+
         if use_ones:
-            self.array = self.xp.ones(self.N*3, dtype=self.dtype, order='F')
+            self.array = self.xp.ones(self.N * 3, dtype=self.dtype, order="F")
         else:
-            self.array = self.xp.zeros(self.N*3, dtype=self.dtype, order='F')
+            self.array = self.xp.zeros(self.N * 3, dtype=self.dtype, order="F")
 
     @property
     def field_x(self):
-        return self.array[0:self.N]
+        return self.array[0 : self.N]
 
     @property
     def field_y(self):
-        return self.array[self.N: 2*self.N]
-    
+        return self.array[self.N : 2 * self.N]
+
     @property
     def field_z(self):
-        return self.array[2*self.N:3*self.N]
+        return self.array[2 * self.N : 3 * self.N]
 
     @field_x.setter
     def field_x(self, value):
         if len(value.shape) > 1:
-            self.from_matrix(value, 'x')
+            self.from_matrix(value, "x")
         else:
-            self.array[0:self.N] = value
+            self.array[0 : self.N] = value
 
     @field_y.setter
     def field_y(self, value):
         if len(value.shape) > 1:
-            self.from_matrix(value, 'y')
+            self.from_matrix(value, "y")
         else:
-            self.array[self.N: 2*self.N] = value
+            self.array[self.N : 2 * self.N] = value
 
     @field_z.setter
     def field_z(self, value):
         if len(value.shape) > 1:
-            self.from_matrix(value, 'z')
+            self.from_matrix(value, "z")
         else:
-            self.array[2*self.N:3*self.N] = value
+            self.array[2 * self.N : 3 * self.N] = value
 
     def toarray(self):
         return self.array
@@ -85,71 +86,100 @@ def fromarray(self, array):
         self.array[:] = array
 
     def to_matrix(self, key):
-        if key == 0 or key == 'x':
-            return self.xp.reshape(self.array[0:self.N], (self.Nx, self.Ny, self.Nz), order='F')
-        if key == 1 or key == 'y':
-            return self.xp.reshape(self.array[self.N: 2*self.N], (self.Nx, self.Ny, self.Nz), order='F')
-        if key == 2 or key == 'z':
-            return self.xp.reshape(self.array[2*self.N:3*self.N], (self.Nx, self.Ny, self.Nz), order='F')
+        if key == 0 or key == "x":
+            return self.xp.reshape(
+                self.array[0 : self.N], (self.Nx, self.Ny, self.Nz), order="F"
+            )
+        if key == 1 or key == "y":
+            return self.xp.reshape(
+                self.array[self.N : 2 * self.N], (self.Nx, self.Ny, self.Nz), order="F"
+            )
+        if key == 2 or key == "z":
+            return self.xp.reshape(
+                self.array[2 * self.N : 3 * self.N],
+                (self.Nx, self.Ny, self.Nz),
+                order="F",
+            )
 
     def from_matrix(self, mat, key):
-        if key == 0 or key == 'x':
-            self.array[0:self.N] = self.xp.reshape(mat, self.N, order='F')
-        elif key == 1 or key == 'y':
-            self.array[self.N: 2*self.N] = self.xp.reshape(mat, self.N, order='F')
-        elif key == 2 or key == 'z':
-            self.array[2*self.N:3*self.N] = self.xp.reshape(mat, self.N, order='F')
+        if key == 0 or key == "x":
+            self.array[0 : self.N] = self.xp.reshape(mat, self.N, order="F")
+        elif key == 1 or key == "y":
+            self.array[self.N : 2 * self.N] = self.xp.reshape(mat, self.N, order="F")
+        elif key == 2 or key == "z":
+            self.array[2 * self.N : 3 * self.N] = self.xp.reshape(
+                mat, self.N, order="F"
+            )
         else:
-            raise IndexError('Component id not valid')
-    
+            raise IndexError("Component id not valid")
+
     def to_gpu(self):
         if imported_cupy:
             self.xp = xp_gpu
-            self.array = self.xp.asarray(self.array) # to cupy arr
+            self.array = self.xp.asarray(self.array)  # to cupy arr
             self.on_gpu = True
         else:
-            print('*** CuPy is not imported')
+            print("*** CuPy is not imported")
             pass
 
     def from_gpu(self):
         if self.on_gpu:
-            self.array = self.array.get() # to numpy arr
+            self.array = self.array.get()  # to numpy arr
             self.on_gpu = False
         else:
-            print('*** GPU is not enabled')
+            print("*** GPU is not enabled")
             pass
 
     def __getitem__(self, key):
-
         if type(key) is tuple:
             if len(key) != 4:
-                raise IndexError('Need 3 indexes and component to access the field')
-            if key[3] == 0 or key[3] == 'x':
+                raise IndexError("Need 3 indexes and component to access the field")
+            if key[3] == 0 or key[3] == "x":
                 if self.on_gpu:
-                    field = self.xp.reshape(self.array[0:self.N], (self.Nx, self.Ny, self.Nz), order='F')
+                    field = self.xp.reshape(
+                        self.array[0 : self.N], (self.Nx, self.Ny, self.Nz), order="F"
+                    )
                     return field[key[0], key[1], key[2]].get()
                 else:
-                    field = self.xp.reshape(self.array[0:self.N], (self.Nx, self.Ny, self.Nz), order='F')
+                    field = self.xp.reshape(
+                        self.array[0 : self.N], (self.Nx, self.Ny, self.Nz), order="F"
+                    )
                     return field[key[0], key[1], key[2]]
-            elif key[3] == 1 or key[3] == 'y':
+            elif key[3] == 1 or key[3] == "y":
                 if self.on_gpu:
-                    field = self.xp.reshape(self.array[self.N: 2*self.N], (self.Nx, self.Ny, self.Nz), order='F')
+                    field = self.xp.reshape(
+                        self.array[self.N : 2 * self.N],
+                        (self.Nx, self.Ny, self.Nz),
+                        order="F",
+                    )
                     return field[key[0], key[1], key[2]].get()
                 else:
-                    field = self.xp.reshape(self.array[self.N: 2*self.N], (self.Nx, self.Ny, self.Nz), order='F')
+                    field = self.xp.reshape(
+                        self.array[self.N : 2 * self.N],
+                        (self.Nx, self.Ny, self.Nz),
+                        order="F",
+                    )
                     return field[key[0], key[1], key[2]]
-            elif key[3] == 2 or key[3] == 'z':
+            elif key[3] == 2 or key[3] == "z":
                 if self.on_gpu:
-                    field = self.xp.reshape(self.array[2*self.N:3*self.N], (self.Nx, self.Ny, self.Nz), order='F')
+                    field = self.xp.reshape(
+                        self.array[2 * self.N : 3 * self.N],
+                        (self.Nx, self.Ny, self.Nz),
+                        order="F",
+                    )
                     return field[key[0], key[1], key[2]].get()
                 else:
-                    field = self.xp.reshape(self.array[2*self.N:3*self.N], (self.Nx, self.Ny, self.Nz), order='F')
-                    return field[key[0], key[1], key[2]]
-            elif type(key[3]) is str and key[3].lower() == 'abs':
-                    field = self.get_abs()
+                    field = self.xp.reshape(
+                        self.array[2 * self.N : 3 * self.N],
+                        (self.Nx, self.Ny, self.Nz),
+                        order="F",
+                    )
                     return field[key[0], key[1], key[2]]
+            elif type(key[3]) is str and key[3].lower() == "abs":
+                field = self.get_abs()
+                return field[key[0], key[1], key[2]]
             else:
-                raise IndexError('Component id not valid')
+                raise IndexError("Component id not valid")
 
         elif type(key) is int:
             if key <= self.N:
@@ -158,8 +188,10 @@ def __getitem__(self, key):
                 else:
                     return self.array[key]
             else:
-                raise IndexError('Lexico-graphic index cannot be higher than product of dimensions')
-            
+                raise IndexError(
+                    "Lexico-graphic index cannot be higher than product of dimensions"
+                )
+
         elif type(key) is slice:
             if self.on_gpu:
                 return self.array[key].get()
@@ -167,16 +199,15 @@ def __getitem__(self, key):
                 return self.array[key]
 
         else:
-            raise ValueError('key must be a 3-tuple or an integer')
+            raise ValueError("key must be a 3-tuple or an integer")
 
     def __setitem__(self, key, value):
-
         if self.on_gpu:
             value = self.xp.asarray(value)
 
         if type(key) is tuple:
             if len(key) != 4:
-                raise IndexError('Need 3 indexes and component to access the field')
+                raise IndexError("Need 3 indexes and component to access the field")
             else:
                 field = self.to_matrix(key[3])
                 field[key[0], key[1], key[2]] = value
@@ -186,15 +217,16 @@ def __setitem__(self, key, value):
             if key <= self.N:
                 self.array[key] = value
             else:
-                raise IndexError('Lexico-graphic index cannot be higher than product of dimensions')
-            
+                raise IndexError(
+                    "Lexico-graphic index cannot be higher than product of dimensions"
+                )
+
         elif type(key) is slice:
-                self.array[key] = value   
+            self.array[key] = value
         else:
-            raise IndexError('key must be a 3-tuple or an integer')
+            raise IndexError("key must be a 3-tuple or an integer")
 
     def __mul__(self, other, dtype=None):
-
         if dtype is None:
             dtype = self.dtype
 
@@ -203,13 +235,13 @@ def __mul__(self, other, dtype=None):
             mulField = Field(self.Nx, self.Ny, self.Nz, dtype=dtype)
             mulField.array = self.array * other
 
-        # other is matrix 
+        # other is matrix
         elif len(other.shape) > 1:
             mulField = Field(self.Nx, self.Ny, self.Nz, dtype=dtype)
-            for d in ['x', 'y', 'z']:
+            for d in ["x", "y", "z"]:
                 mulField.from_matrix(self.to_matrix(d) * other, d)
 
-        # other is 1d array 
+        # other is 1d array
         else:
             mulField = Field(self.Nx, self.Ny, self.Nz, dtype=dtype)
             mulField.array = self.array * other
@@ -217,7 +249,6 @@ def __mul__(self, other, dtype=None):
         return mulField
 
     def __div__(self, other, dtype=None):
-
         if dtype is None:
             dtype = self.dtype
 
@@ -229,10 +260,10 @@ def __div__(self, other, dtype=None):
         # other is matrix
         if len(other.shape) > 1:
             divField = Field(self.Nx, self.Ny, self.Nz, dtype=dtype)
-            for d in ['x', 'y', 'z']:
+            for d in ["x", "y", "z"]:
                 divField.from_matrix(self.to_matrix(d) / other, d)
 
-        # other is constant or 1d array 
+        # other is constant or 1d array
         else:
             divField = Field(self.Nx, self.Ny, self.Nz, dtype=dtype)
             divField.array = self.array / other
@@ -240,24 +271,22 @@ def __div__(self, other, dtype=None):
         return divField
 
     def __add__(self, other, dtype=None):
-
         if dtype is None:
             dtype = self.dtype
-        
+
         if type(other) is Field:
-            
             addField = Field(self.Nx, self.Ny, self.Nz, dtype=dtype)
             addField.field_x = self.field_x + other.field_x
             addField.field_y = self.field_y + other.field_y
-            addField.field_z = self.field_z + other.field_z  
-            
-        # other is matrix 
+            addField.field_z = self.field_z + other.field_z
+
+        # other is matrix
         elif len(other.shape) > 1:
             addField = Field(self.Nx, self.Ny, self.Nz, dtype=dtype)
-            for d in ['x', 'y', 'z']:
+            for d in ["x", "y", "z"]:
                 addField.from_matrix(self.to_matrix(d) + other, d)
 
-        # other is constant or 1d array 
+        # other is constant or 1d array
         else:
             addField = Field(self.Nx, self.Ny, self.Nz, dtype=dtype)
             addField.array = self.array + other
@@ -265,24 +294,39 @@ def __add__(self, other, dtype=None):
         return addField
 
     def __repr__(self):
-        return 'x:\n' + self.field_x.__repr__() + '\n'+  \
-                'y:\n' + self.field_y.__repr__() + '\n'+ \
-                'z:\n' + self.field_z.__repr__()
+        return (
+            "x:\n"
+            + self.field_x.__repr__()
+            + "\n"
+            + "y:\n"
+            + self.field_y.__repr__()
+            + "\n"
+            + "z:\n"
+            + self.field_z.__repr__()
+        )
 
     def __str__(self):
-        return 'x:\n' + self.field_x.__str__() + '\n'+  \
-                'y:\n' + self.field_y.__str__() + '\n'+ \
-                'z:\n' + self.field_z.__str__()
-    
+        return (
+            "x:\n"
+            + self.field_x.__str__()
+            + "\n"
+            + "y:\n"
+            + self.field_y.__str__()
+            + "\n"
+            + "z:\n"
+            + self.field_z.__str__()
+        )
+
     def copy(self):
-        import copy
         obj = type(self).__new__(self.__class__)  # Create empty instance
 
         for key, value in self.__dict__.items():
             if key == "xp":
                 obj.xp = self.xp  # Just copy reference, no need for deepcopy
             elif key == "array" and self.on_gpu:
-                obj.array = self.xp.array(self.array)  # Ensure CuPy array is copied properly
+                obj.array = self.xp.array(
+                    self.array
+                )  # Ensure CuPy array is copied properly
             else:
                 obj.__dict__[key] = copy.deepcopy(value)
 
@@ -290,115 +334,160 @@ def copy(self):
 
     def compute_ijk(self, n):
         if n > (self.N):
-            raise IndexError('Lexico-graphic index cannot be higher than product of dimensions')
+            raise IndexError(
+                "Lexico-graphic index cannot be higher than product of dimensions"
+            )
 
-        k = n//(self.Nx*self.Ny)
-        i = (n-k*self.Nx*self.Ny)%self.Nx
-        j = (n-k*self.Nx*self.Ny)//self.Nx
+        k = n // (self.Nx * self.Ny)
+        i = (n - k * self.Nx * self.Ny) % self.Nx
+        j = (n - k * self.Nx * self.Ny) // self.Nx
 
         return i, j, k
 
     def get_abs(self, as_matrix=True):
-        '''Computes the absolute or magnitude
+        """Computes the absolute or magnitude
         out of the field components
-        '''
+        """
         if as_matrix:
             if self.on_gpu:
-                return xp.sqrt(self.to_matrix('x')**2 + 
-                            self.to_matrix('y')**2 + 
-                            self.to_matrix('z')**2 ).get()
+                return xp.sqrt(
+                    self.to_matrix("x") ** 2
+                    + self.to_matrix("y") ** 2
+                    + self.to_matrix("z") ** 2
+                ).get()
             else:
-                return xp.sqrt(self.to_matrix('x')**2 + 
-                            self.to_matrix('y')**2 + 
-                            self.to_matrix('z')**2 )
+                return xp.sqrt(
+                    self.to_matrix("x") ** 2
+                    + self.to_matrix("y") ** 2
+                    + self.to_matrix("z") ** 2
+                )
 
-        else: # 1d array
+        else:  # 1d array
             if self.on_gpu:
                 return xp.sqrt(self.field_x**2 + self.field_y**2, self.field_z**2).get()
             else:
                 return xp.sqrt(self.field_x**2 + self.field_y**2, self.field_z**2)
 
-    def inspect(self, plane='YZ', cmap='bwr', 
-                dpi=100, figsize=[8,6], 
-                x=None, y=None, z=None, show=True, 
-                handles=False, **kwargs):
+    def inspect(
+        self,
+        plane="YZ",
+        cmap="bwr",
+        dpi=100,
+        figsize=[8, 6],
+        x=None,
+        y=None,
+        z=None,
+        show=True,
+        handles=False,
+        **kwargs,
+    ):
         import matplotlib.pyplot as plt
         from mpl_toolkits.axes_grid1 import make_axes_locatable
 
-        if None not in (x,y,z): #custom slice
+        if None not in (x, y, z):  # custom slice
             transpose = False
             extent = None
-            xax, yax = 'No. of cells', 'No. of cells'
+            xax, yax = "No. of cells", "No. of cells"
 
-        elif plane == 'XY':
-            key=[slice(0,self.Nx), slice(0,self.Ny), int(self.Nz//2)]
+        elif plane == "XY":
+            key = [slice(0, self.Nx), slice(0, self.Ny), int(self.Nz // 2)]
             x, y, z = key[0], key[1], key[2]
             extent = (0, self.Nx, 0, self.Ny)
-            xax, yax = 'nx', 'ny'
+            xax, yax = "nx", "ny"
             transpose = True
 
-        elif plane == 'XZ':
-            key=[slice(0,self.Nx), int(self.Ny//2), slice(0,self.Nz)]
+        elif plane == "XZ":
+            key = [slice(0, self.Nx), int(self.Ny // 2), slice(0, self.Nz)]
             x, y, z = key[0], key[1], key[2]
             extent = (0, self.Nz, 0, self.Nx)
-            xax, yax = 'nz', 'nx'
+            xax, yax = "nz", "nx"
             transpose = False
 
-        elif plane == 'YZ':
-            key=[int(self.Nx//2), slice(0,self.Ny), slice(0,self.Nz)]
+        elif plane == "YZ":
+            key = [int(self.Nx // 2), slice(0, self.Ny), slice(0, self.Nz)]
             x, y, z = key[0], key[1], key[2]
             extent = (0, self.Nz, 0, self.Ny)
-            xax, yax = 'nz', 'ny'
+            xax, yax = "nz", "ny"
             transpose = False
 
         fig, axs = plt.subplots(1, 3, tight_layout=True, figsize=figsize, dpi=dpi)
-        dims = {0:'x', 1:'y', 2:'z'}
+        dims = {0: "x", 1: "y", 2: "z"}
 
         im = {}
 
-        for d in [0,1,2]:
+        for d in [0, 1, 2]:
             field = self.to_matrix(d)
-            
-            if self.on_gpu and hasattr(field, 'get'):
+
+            if self.on_gpu and hasattr(field, "get"):
                 field = field.get()
 
             if transpose:
-                im[d] = axs[d].imshow(field[x,y,z].T, cmap=cmap, vmin=-field.max(), vmax=field.max(), extent=extent, origin='lower', **kwargs)
+                im[d] = axs[d].imshow(
+                    field[x, y, z].T,
+                    cmap=cmap,
+                    vmin=-field.max(),
+                    vmax=field.max(),
+                    extent=extent,
+                    origin="lower",
+                    **kwargs,
+                )
 
             else:
-                im[d] = axs[d].imshow(field[x,y,z], cmap=cmap, vmin=-field.max(), vmax=field.max(), extent=extent, origin='lower', **kwargs)
+                im[d] = axs[d].imshow(
+                    field[x, y, z],
+                    cmap=cmap,
+                    vmin=-field.max(),
+                    vmax=field.max(),
+                    extent=extent,
+                    origin="lower",
+                    **kwargs,
+                )
 
         for i, ax in enumerate(axs):
-            ax.set_title(f'Field {dims[i]}, plane {plane}')
-            fig.colorbar(im[i], cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.1))
+            ax.set_title(f"Field {dims[i]}, plane {plane}")
+            fig.colorbar(
+                im[i],
+                cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.1),
+            )
             ax.set_xlabel(xax)
             ax.set_ylabel(yax)
 
         if handles:
             return fig, axs
-        
+
         if show:
             plt.show()
             return None
 
-    def inspect3D(self, field='all', backend='pyista', grid=None,
-                  xmax=None, ymax=None, zmax=None, 
-                  bounding_box=True, show_grid=True,
-                  cmap='viridis', dpi=100, show=True, handles=False):
+    def inspect3D(
+        self,
+        field="all",
+        backend="pyista",
+        grid=None,
+        xmax=None,
+        ymax=None,
+        zmax=None,
+        bounding_box=True,
+        show_grid=True,
+        cmap="viridis",
+        dpi=100,
+        show=True,
+        handles=False,
+    ):
         """
         Visualize 3D field data on the structured grid using either Matplotlib
         (voxel rendering) or PyVista (interactive clipping and slicing).
 
         This method provides two complementary visualization backends:
-        - **Matplotlib**: static voxel plots of the field components (x, y, z) 
+        - **Matplotlib**: static voxel plots of the field components (x, y, z)
           or all combined, useful for quick inspection, but memory intensive.
-        - **PyVista**: interactive 3D visualization with sliders to dynamically 
+        - **PyVista**: interactive 3D visualization with sliders to dynamically
           clip the volume along X, Y, and Z, and optional wireframe slices.
 
         Parameters
         ----------
         field : {'x', 'y', 'z', 'all'}, default 'all'
-            Which field component(s) to visualize. 
+            Which field component(s) to visualize.
             - 'x', 'y', 'z': single component
             - 'all': shows all three components
         backend : {'matplotlib', 'pyvista'}, default 'pyvista'
@@ -406,16 +495,16 @@ def inspect3D(self, field='all', backend='pyista', grid=None,
             - 'matplotlib': static voxel rendering
             - 'pyvista': interactive 3D rendering with clipping sliders
         grid : GridFIT3D or pyvista.StructuredGrid, optional
-            Structured grid object to use for visualization. If None, 
+            Structured grid object to use for visualization. If None,
             a grid is constructed from the solver's internal dimensions.
         xmax, ymax, zmax : int or float, optional
-            Maximum extents in each direction for visualization. Defaults 
+            Maximum extents in each direction for visualization. Defaults
             to the full grid dimensions if not specified.
         bounding_box : bool, default True
-            If True, draw a wireframe bounding box of the simulation domain 
+            If True, draw a wireframe bounding box of the simulation domain
             (only used in PyVista backend).
         show_grid : bool, default True
-            If True, show wireframe slice planes of the grid during 
+            If True, show wireframe slice planes of the grid during
             interactive visualization (PyVista backend).
         cmap : str, default 'viridis'
             Colormap to apply to the scalar field.
@@ -425,7 +514,7 @@ def inspect3D(self, field='all', backend='pyista', grid=None,
             Whether to display the figure/plot immediately.
             - If False in PyVista, exports to `field.html` instead.
         handles : bool, default False
-            If True, return figure/axes (Matplotlib) or the Plotter object 
+            If True, return figure/axes (Matplotlib) or the Plotter object
             (PyVista) for further customization instead of showing directly.
 
         Returns
@@ -437,10 +526,10 @@ def inspect3D(self, field='all', backend='pyista', grid=None,
 
         Notes
         -----
-        - The PyVista backend provides interactive sliders to clip the 
-          volume along each axis independently and inspect internal 
+        - The PyVista backend provides interactive sliders to clip the
+          volume along each axis independently and inspect internal
           structures of the 3D field.
-        - The Matplotlib backend provides a quick static voxel rendering 
+        - The Matplotlib backend provides a quick static voxel rendering
           but is limited in interactivity and scalability.
 
         """
@@ -448,93 +537,106 @@ def inspect3D(self, field='all', backend='pyista', grid=None,
         field = field.lower()
 
         # ---------- matplotlib backend ---------------
-        if backend.lower() == 'matplotlib':
+        if backend.lower() == "matplotlib":
             import matplotlib.pyplot as plt
             import matplotlib as mpl
-            from mpl_toolkits.axes_grid1 import make_axes_locatable
 
-            fig = plt.figure(tight_layout=True, dpi=dpi, figsize=[12,6])
+            fig = plt.figure(tight_layout=True, dpi=dpi, figsize=[12, 6])
 
             plot_x, plot_y, plot_z = False, False, False
 
-            if field == 'all':
+            if field == "all":
                 plot_x = True
                 plot_y = True
                 plot_z = True
 
-            elif field.lower() == 'x': plot_x = True
-            elif field.lower() == 'y': plot_y = True
-            elif field.lower() == 'z': plot_z = True
+            elif field.lower() == "x":
+                plot_x = True
+            elif field.lower() == "y":
+                plot_y = True
+            elif field.lower() == "z":
+                plot_z = True
 
-            if xmax is None: xmax = self.Nx
-            if ymax is None: ymax = self.Ny
-            if zmax is None: zmax = self.Nz
+            if xmax is None:
+                xmax = self.Nx
+            if ymax is None:
+                ymax = self.Ny
+            if zmax is None:
+                zmax = self.Nz
 
-            x,y,z = self.xp.mgrid[0:xmax+1,0:ymax+1,0:zmax+1]
+            x, y, z = self.xp.mgrid[0 : xmax + 1, 0 : ymax + 1, 0 : zmax + 1]
             axs = []
 
             # field x
             if plot_x:
-                arr = self.to_matrix('x')[0:int(xmax),0:int(ymax),0:int(zmax)]
-                if field == 'all':
-                    ax = fig.add_subplot(1, 3, 1, projection='3d')
+                arr = self.to_matrix("x")[0 : int(xmax), 0 : int(ymax), 0 : int(zmax)]
+                if field == "all":
+                    ax = fig.add_subplot(1, 3, 1, projection="3d")
                 else:
-                    ax = fig.add_subplot(1, 1, 1, projection='3d')
-                
-                vmin, vmax = -self.xp.max(self.xp.abs(arr)), +self.xp.max(self.xp.abs(arr))
+                    ax = fig.add_subplot(1, 1, 1, projection="3d")
+
+                vmin, vmax = (
+                    -self.xp.max(self.xp.abs(arr)),
+                    +self.xp.max(self.xp.abs(arr)),
+                )
                 norm = mpl.colors.Normalize(vmin=vmin, vmax=vmax)
                 colors = mpl.colormaps[cmap](norm(arr))
-                vox = ax.voxels(x, y, z, filled=self.xp.ones_like(arr), facecolors=colors)
-                
+                ax.voxels(x, y, z, filled=self.xp.ones_like(arr), facecolors=colors)
+
                 m = mpl.cm.ScalarMappable(cmap=cmap, norm=norm)
                 m.set_array([])
                 fig.colorbar(m, ax=ax, shrink=0.5, aspect=10)
-                ax.set_title(f'Field x')
+                ax.set_title("Field x")
                 axs.append(ax)
 
             # field y
             if plot_y:
-                arr = self.to_matrix('y')[0:int(xmax),0:int(ymax),0:int(zmax)]
-                if field == 'all':
-                    ax = fig.add_subplot(1, 3, 2, projection='3d')
+                arr = self.to_matrix("y")[0 : int(xmax), 0 : int(ymax), 0 : int(zmax)]
+                if field == "all":
+                    ax = fig.add_subplot(1, 3, 2, projection="3d")
                 else:
-                    ax = fig.add_subplot(1, 1, 1, projection='3d')
-                
-                vmin, vmax = -self.xp.max(self.xp.abs(arr)), +self.xp.max(self.xp.abs(arr))
+                    ax = fig.add_subplot(1, 1, 1, projection="3d")
+
+                vmin, vmax = (
+                    -self.xp.max(self.xp.abs(arr)),
+                    +self.xp.max(self.xp.abs(arr)),
+                )
                 norm = mpl.colors.Normalize(vmin=vmin, vmax=vmax)
                 colors = mpl.colormaps[cmap](norm(arr))
-                vox = ax.voxels(x, y, z, filled=self.xp.ones_like(arr), facecolors=colors)
-                
+                ax.voxels(x, y, z, filled=self.xp.ones_like(arr), facecolors=colors)
+
                 m = mpl.cm.ScalarMappable(cmap=cmap, norm=norm)
                 m.set_array([])
                 fig.colorbar(m, ax=ax, shrink=0.5, aspect=10)
-                ax.set_title(f'Field y')
+                ax.set_title("Field y")
                 axs.append(ax)
 
             # field z
             if plot_z:
-                arr = self.to_matrix('z')[0:int(xmax),0:int(ymax),0:int(zmax)]
-                if field == 'all':
-                    ax = fig.add_subplot(1, 3, 3, projection='3d')
+                arr = self.to_matrix("z")[0 : int(xmax), 0 : int(ymax), 0 : int(zmax)]
+                if field == "all":
+                    ax = fig.add_subplot(1, 3, 3, projection="3d")
                 else:
-                    ax = fig.add_subplot(1, 1, 1, projection='3d')
+                    ax = fig.add_subplot(1, 1, 1, projection="3d")
 
-                vmin, vmax = -self.xp.max(self.xp.abs(arr)), +self.xp.max(self.xp.abs(arr))
+                vmin, vmax = (
+                    -self.xp.max(self.xp.abs(arr)),
+                    +self.xp.max(self.xp.abs(arr)),
+                )
                 norm = mpl.colors.Normalize(vmin=vmin, vmax=vmax)
                 colors = mpl.colormaps[cmap](norm(arr))
-                vox = ax.voxels(x, y, z, filled=self.xp.ones_like(arr), facecolors=colors)
-                
+                ax.voxels(x, y, z, filled=self.xp.ones_like(arr), facecolors=colors)
+
                 m = mpl.cm.ScalarMappable(cmap=cmap, norm=norm)
                 m.set_array([])
                 fig.colorbar(m, ax=ax, shrink=0.5, aspect=10)
-                ax.set_title(f'Field z')
+                ax.set_title("Field z")
                 axs.append(ax)
 
-            dims = {0:'x', 1:'y', 2:'z'}
             for i, ax in enumerate(axs):
-                ax.set_xlabel('Nx')
-                ax.set_ylabel('Ny')
-                ax.set_zlabel('Nz')
+                ax.set_xlabel("Nx")
+                ax.set_ylabel("Ny")
+                ax.set_zlabel("Nz")
                 ax.xaxis.set_pane_color((1.0, 1.0, 1.0, 0.0))
                 ax.yaxis.set_pane_color((1.0, 1.0, 1.0, 0.0))
                 ax.zaxis.set_pane_color((1.0, 1.0, 1.0, 0.0))
@@ -544,63 +646,84 @@ def inspect3D(self, field='all', backend='pyista', grid=None,
 
             if handles:
                 return fig, axs
-            
+
             if show:
                 plt.show()
 
         # ----------- pyvista backend ---------------
-        else: 
+        else:
             import pyvista as pv
 
-            if grid is not None and hasattr(grid, 'grid'):
-                xlo, xhi, ylo, yhi, zlo, zhi = grid.xmin, grid.xmax, grid.ymin, grid.ymax, grid.zmin, grid.zmax
+            if grid is not None and hasattr(grid, "grid"):
+                xlo, xhi, ylo, yhi, zlo, zhi = (
+                    grid.xmin,
+                    grid.xmax,
+                    grid.ymin,
+                    grid.ymax,
+                    grid.zmin,
+                    grid.zmax,
+                )
                 grid = grid.grid
-                if field == 'x':
-                    scalars = 'Field '+field
+                if field == "x":
+                    scalars = "Field " + field
                     grid[scalars] = xp.reshape(self.to_matrix(field), self.N)
-                elif field == 'y':
-                    scalars = 'Field '+field
+                elif field == "y":
+                    scalars = "Field " + field
                     grid[scalars] = xp.reshape(self.to_matrix(field), self.N)
-                elif field == 'z':
-                    scalars = 'Field '+field
+                elif field == "z":
+                    scalars = "Field " + field
                     grid[scalars] = xp.reshape(self.to_matrix(field), self.N)
-                else:   # for all or abs
-                    scalars = 'Field '+'Abs'
+                else:  # for all or abs
+                    scalars = "Field " + "Abs"
                     grid[scalars] = xp.reshape(self.get_abs(), self.N)
 
-                if xmax is None: xmax = xhi
-                if ymax is None: ymax = yhi
-                if zmax is None: zmax = zhi
+                if xmax is None:
+                    xmax = xhi
+                if ymax is None:
+                    ymax = yhi
+                if zmax is None:
+                    zmax = zhi
 
             else:
-                print('[!] `grid` is not passed or is not a GridFIT3D object -> Using #N cells instead ')
-                x = xp.linspace(0, self.Nx, self.Nx+1)
-                y = xp.linspace(0, self.Ny, self.Ny+1)
-                z = xp.linspace(0, self.Nz, self.Nz+1)
-                xlo, xhi, ylo, yhi, zlo, zhi = x.min(), x.max(), y.min(), y.max(), z.min(), z.max()
-                if xmax is None: xmax = self.Nx
-                if ymax is None: ymax = self.Ny
-                if zmax is None: zmax = self.Nz
-                X, Y, Z = xp.meshgrid(x, y, z, indexing='ij')
+                print(
+                    "[!] `grid` is not passed or is not a GridFIT3D object -> Using #N cells instead "
+                )
+                x = xp.linspace(0, self.Nx, self.Nx + 1)
+                y = xp.linspace(0, self.Ny, self.Ny + 1)
+                z = xp.linspace(0, self.Nz, self.Nz + 1)
+                xlo, xhi, ylo, yhi, zlo, zhi = (
+                    x.min(),
+                    x.max(),
+                    y.min(),
+                    y.max(),
+                    z.min(),
+                    z.max(),
+                )
+                if xmax is None:
+                    xmax = self.Nx
+                if ymax is None:
+                    ymax = self.Ny
+                if zmax is None:
+                    zmax = self.Nz
+                X, Y, Z = xp.meshgrid(x, y, z, indexing="ij")
                 grid = pv.StructuredGrid(X.transpose(), Y.transpose(), Z.transpose())
 
-                if field == 'x':
-                    scalars = 'Field '+field
+                if field == "x":
+                    scalars = "Field " + field
                     grid[scalars] = xp.reshape(self.to_matrix(field), self.N)
-                elif field == 'y':
-                    scalars = 'Field '+field
+                elif field == "y":
+                    scalars = "Field " + field
                     grid[scalars] = xp.reshape(self.to_matrix(field), self.N)
-                elif field == 'z':
-                    scalars = 'Field '+field
+                elif field == "z":
+                    scalars = "Field " + field
                     grid[scalars] = xp.reshape(self.to_matrix(field), self.N)
-                else:   # for all or abs
-                    scalars = 'Field '+'Abs'
+                else:  # for all or abs
+                    scalars = "Field " + "Abs"
                     grid[scalars] = xp.reshape(self.get_abs(), self.N)
 
-
             pv.global_theme.allow_empty_mesh = True
             pl = pv.Plotter()
-            vals = {'x':xmax, 'y':ymax, 'z':zmax}
+            vals = {"x": xmax, "y": ymax, "z": zmax}
 
             # --- Update function ---
             def update_clip(val, axis="x"):
@@ -615,7 +738,10 @@ def update_clip(val, axis="x"):
 
                 # add clipped volume (scalars)
                 pl.add_mesh(
-                    grid.clip_box(bounds=(xlo, vals['x'], ylo, vals['y'], zlo, vals['z']), invert=False),
+                    grid.clip_box(
+                        bounds=(xlo, vals["x"], ylo, vals["y"], zlo, vals["z"]),
+                        invert=False,
+                    ),
                     scalars=scalars,
                     cmap=cmap,
                     name="clip",
@@ -623,52 +749,67 @@ def update_clip(val, axis="x"):
 
                 # add slice wireframe (grid structure)
                 if show_grid:
-                    pl.add_mesh(slice_obj, style="wireframe", color="grey", name="slice")
+                    pl.add_mesh(
+                        slice_obj, style="wireframe", color="grey", name="slice"
+                    )
 
             # --- Sliders (placed side-by-side vertically) ---
             pl.add_slider_widget(
                 lambda value: update_clip(value, "x"),
                 [xlo, xhi],
-                value=xmax, title="X Clip",
-                pointa=(0.8, 0.8), pointb=(0.95, 0.8),  # top-right
-                style='modern',
+                value=xmax,
+                title="X Clip",
+                pointa=(0.8, 0.8),
+                pointb=(0.95, 0.8),  # top-right
+                style="modern",
             )
 
             pl.add_slider_widget(
                 lambda value: update_clip(value, "y"),
                 [ylo, yhi],
-                value=ymax, title="Y Clip",
-                pointa=(0.8, 0.6), pointb=(0.95, 0.6),  # middle-right
-                style='modern',
+                value=ymax,
+                title="Y Clip",
+                pointa=(0.8, 0.6),
+                pointb=(0.95, 0.6),  # middle-right
+                style="modern",
             )
 
             pl.add_slider_widget(
                 lambda value: update_clip(value, "z"),
                 [zlo, zhi],
-                value=zmax, title="Z Clip",
-                pointa=(0.8, 0.4), pointb=(0.95, 0.4),  # lower-right
-                style='modern',
+                value=zmax,
+                title="Z Clip",
+                pointa=(0.8, 0.4),
+                pointb=(0.95, 0.4),  # lower-right
+                style="modern",
             )
 
             # Camera orientation
-            pl.camera_position = 'zx'
+            pl.camera_position = "zx"
             pl.camera.azimuth += 30
             pl.camera.elevation += 30
-            pl.set_background('mistyrose', top='white')
-            try: pl.add_logo_widget('../docs/img/wakis-logo-pink.png')
-            except: pass
+            pl.set_background("mistyrose", top="white")
+            try:
+                pl.add_logo_widget("../docs/img/wakis-logo-pink.png")
+            except (FileNotFoundError, OSError):
+                pass
             pl.add_axes()
             pl.enable_3_lights()
             pl.enable_anti_aliasing()
 
             if bounding_box:
-                pl.add_mesh(pv.Box(bounds=(xlo, xhi, ylo, yhi, zlo, zhi)),
-                style="wireframe", color="black", line_width=2, name="domain_box")
+                pl.add_mesh(
+                    pv.Box(bounds=(xlo, xhi, ylo, yhi, zlo, zhi)),
+                    style="wireframe",
+                    color="black",
+                    line_width=2,
+                    name="domain_box",
+                )
 
             if handles:
                 return pl
 
             if not show:
-                pl.export_html(f'field.html')
+                pl.export_html("field.html")
             else:
                 pl.show()
diff --git a/wakis/field_monitors.py b/wakis/field_monitors.py
index 39c9849..45da5c5 100644
--- a/wakis/field_monitors.py
+++ b/wakis/field_monitors.py
@@ -7,11 +7,15 @@
 import numpy as np
 from typing import Sequence
 from wakis.field import Field
+import importlib.util
 
-try:
+if importlib.util.find_spec("cupy") is not None:
     import cupy as xp_gpu
+
     imported_cupy = True
-except ImportError:
+
+else:
+    xp_gpu = None
     imported_cupy = False
 
 
@@ -27,12 +31,13 @@ class FieldMonitor:
         shape (tuple): Shape of the field (Nx, Ny, Nz).
         xp (module): Backend array library (NumPy or CuPy).
     """
+
     def __init__(self, frequencies: Sequence[float]):
         """
-       Args:
-           frequencies (Sequence[float]): Frequencies at which to monitor the field (in Hz).
-           should be pre-computed.
-       """
+        Args:
+            frequencies (Sequence[float]): Frequencies at which to monitor the field (in Hz).
+            should be pre-computed.
+        """
         self.frequencies = np.array(frequencies)
         self.time_index = 0
         self.dt = None
@@ -42,7 +47,6 @@ def __init__(self, frequencies: Sequence[float]):
         self.shape = None
         self.xp = None
 
-
     def update(self, E: Field, dt: float):
         """
         Updates field accumulators with new field snapshot at the current time.
@@ -65,9 +69,9 @@ def update(self, E: Field, dt: float):
 
         t = self.time_index * self.dt
 
-        Ex = E.to_matrix('x') #E.array[0:E.N]
-        Ey = E.to_matrix('y')
-        Ez = E.to_matrix('z')
+        Ex = E.to_matrix("x")  # E.array[0:E.N]
+        Ey = E.to_matrix("y")
+        Ez = E.to_matrix("z")
 
         for i, f in enumerate(self.frequencies):
             phase = self.xp.exp(-2j * self.xp.pi * f * t)
@@ -81,8 +85,4 @@ def get_components(self):
         """
         Returns the accumulated frequency-domain field components.
         """
-        return {
-            'Ex': self.Ex_acc,
-            'Ey': self.Ey_acc,
-            'Ez': self.Ez_acc
-        }
+        return {"Ex": self.Ex_acc, "Ey": self.Ey_acc, "Ez": self.Ez_acc}
diff --git a/wakis/geometry.py b/wakis/geometry.py
index a691fb0..ea6b04c 100644
--- a/wakis/geometry.py
+++ b/wakis/geometry.py
@@ -5,6 +5,7 @@
 
 import re
 
+
 def extract_colors_from_stp(stp_file):
     """
     Extracts a mapping from solid names to RGB color values from a STEP (.stp) file.
@@ -23,7 +24,7 @@ def extract_colors_from_stp(stp_file):
     color_pattern = re.compile(r"#\d+=COLOUR_RGB\('?',([\d.]+),([\d.]+),([\d.]+)\);")
 
     # Extract colors
-    with open(stp_file, 'r', encoding='utf-8', errors='ignore') as f:
+    with open(stp_file, "r", encoding="utf-8", errors="ignore") as f:
         for line in f:
             color_match = color_pattern.search(line)
             if color_match:
@@ -35,11 +36,12 @@ def extract_colors_from_stp(stp_file):
     # Map solids to colors by order of appearance (colors >=solids)
     for i in range(len(list(solids.keys()))):
         solid = solids[list(solids.keys())[i]]
-        solid_re = re.sub(r'[^a-zA-Z0-9_-]', '-', solid)
-        stl_colors[f'{str(i).zfill(3)}_{solid_re}'] = colors[i]
+        solid_re = re.sub(r"[^a-zA-Z0-9_-]", "-", solid)
+        stl_colors[f"{str(i).zfill(3)}_{solid_re}"] = colors[i]
 
     return stl_colors
 
+
 def extract_materials_from_stp(stp_file):
     """
     Extracts a mapping from solid names to materials from a STEP (.stp) file.
@@ -58,27 +60,28 @@ def extract_materials_from_stp(stp_file):
         try:
             mat = materials[list(solids.keys())[i]].lower()
         except KeyError:
-            print(f'Solid #{list(solids.keys())[i]} has no assigned material')
-            mat = 'None'
+            print(f"Solid #{list(solids.keys())[i]} has no assigned material")
+            mat = "None"
 
         # Remove problematic characters
-        solid_re = re.sub(r'[^a-zA-Z0-9_-]', '-', solid)
-        mat_re = re.sub(r'[^a-zA-Z0-9_-]', '-', mat)
-        stl_materials[f'{str(i).zfill(3)}_{solid_re}'] = mat_re
+        solid_re = re.sub(r"[^a-zA-Z0-9_-]", "-", solid)
+        mat_re = re.sub(r"[^a-zA-Z0-9_-]", "-", mat)
+        stl_materials[f"{str(i).zfill(3)}_{solid_re}"] = mat_re
 
     return stl_materials
 
+
 def extract_solids_from_stp(stp_file, path=None):
-    '''
-    Extracts a mapping from solid names to STL file names from a STEP (.stp) file.  
+    """
+    Extracts a mapping from solid names to STL file names from a STEP (.stp) file.
     Args:
         stp_file (str): Path to the STEP file.
         path (str) (optional): default: None, path to save the STL (.stl) files
     Returns:
         dict[str, str]: A dictionary mapping solid names to STL file names.
-    '''    
-    if path is not None and not path.endswith('/'):
-        path += '/'
+    """
+    if path is not None and not path.endswith("/"):
+        path += "/"
     solids, materials = extract_names_from_stp(stp_file)
     stl_solids = {}
     for i in range(len(list(solids.keys()))):
@@ -86,20 +89,21 @@ def extract_solids_from_stp(stp_file, path=None):
         try:
             mat = materials[list(solids.keys())[i]]
         except KeyError:
-            print(f'Solid #{list(solids.keys())[i]} has no assigned material')
-            mat = 'None'
+            print(f"Solid #{list(solids.keys())[i]} has no assigned material")
+            mat = "None"
 
         # Remove problematic characters
-        solid_re = re.sub(r'[^a-zA-Z0-9_-]', '-', solid)
-        mat_re = re.sub(r'[^a-zA-Z0-9_-]', '-', mat)
-        name = f'{str(i).zfill(3)}_{solid_re}_{mat_re}'
+        solid_re = re.sub(r"[^a-zA-Z0-9_-]", "-", solid)
+        mat_re = re.sub(r"[^a-zA-Z0-9_-]", "-", mat)
+        name = f"{str(i).zfill(3)}_{solid_re}_{mat_re}"
         if path is not None:
-            stl_solids[f'{str(i).zfill(3)}_{solid_re}'] = path + name + '.stl'
+            stl_solids[f"{str(i).zfill(3)}_{solid_re}"] = path + name + ".stl"
         else:
-            stl_solids[f'{str(i).zfill(3)}_{solid_re}'] = name + '.stl'
+            stl_solids[f"{str(i).zfill(3)}_{solid_re}"] = name + ".stl"
 
     return stl_solids
 
+
 def extract_names_from_stp(stp_file):
     """
     Extracts solid names and their corresponding materials from a STEP (.stp) file.
@@ -127,33 +131,42 @@ def extract_names_from_stp(stp_file):
     material_dict = {}
 
     # Compile regex patterns
-    #solid_pattern = re.compile(r"#(\d+)=MANIFOLD_SOLID_BREP\('([^']+)'.*;")
-    solid_pattern = re.compile(r"#(\d+)=ADVANCED_BREP_SHAPE_REPRESENTATION\('([^']*)',\(([^)]*)\),#\d+\);")
-    material_pattern = re.compile(r"#(\d+)=PRESENTATION_LAYER_ASSIGNMENT\('([^']+)','[^']+',\(#([\d#,]+)\)\);")
+    # solid_pattern = re.compile(r"#(\d+)=MANIFOLD_SOLID_BREP\('([^']+)'.*;")
+    solid_pattern = re.compile(
+        r"#(\d+)=ADVANCED_BREP_SHAPE_REPRESENTATION\('([^']*)',\(([^)]*)\),#\d+\);"
+    )
+    material_pattern = re.compile(
+        r"#(\d+)=PRESENTATION_LAYER_ASSIGNMENT\('([^']+)','[^']+',\(#([\d#,]+)\)\);"
+    )
 
     # First pass: extract solids
-    with open(stp_file, 'r', encoding='utf-8', errors='ignore') as f:
+    with open(stp_file, "r", encoding="utf-8", errors="ignore") as f:
         for line in f:
             solid_match = solid_pattern.search(line)
             if solid_match:
-                #solid_number = int(solid_match.group(1)) #if MANIFOLD
-                solid_number = int(solid_match.group(3).split(',')[0].strip().lstrip('#'))
+                # solid_number = int(solid_match.group(1)) #if MANIFOLD
+                solid_number = int(
+                    solid_match.group(3).split(",")[0].strip().lstrip("#")
+                )
                 solid_name = solid_match.group(2)
                 solid_dict[solid_number] = solid_name
 
     # Second pass: extract materials
-    with open(stp_file, 'r', encoding='utf-8', errors='ignore') as f:
+    with open(stp_file, "r", encoding="utf-8", errors="ignore") as f:
         for line in f:
             material_match = material_pattern.search(line)
             if material_match:
                 material_name = material_match.group(2)
-                solid_numbers = [int(num.strip("#")) for num in material_match.group(3).split(',')]
+                solid_numbers = [
+                    int(num.strip("#")) for num in material_match.group(3).split(",")
+                ]
                 for solid_number in solid_numbers:
                     if solid_number in solid_dict:
                         material_dict[solid_number] = material_name
 
     return solid_dict, material_dict
 
+
 def get_stp_unit_scale(stp_file):
     """
     Reads the unit definition from a STEP (.stp or .step) file and determines the
@@ -174,11 +187,11 @@ def get_stp_unit_scale(stp_file):
     """
 
     unit_map = {
-            ".MILLI.": 1e-3,
-            ".CENTI.": 1e-2,
-            ".DECI.": 1e-1,
-            ".KILO.": 1e3,
-            "$": 1.0,  # '$' indicates no prefix, i.e. plain meters
+        ".MILLI.": 1e-3,
+        ".CENTI.": 1e-2,
+        ".DECI.": 1e-1,
+        ".KILO.": 1e3,
+        "$": 1.0,  # '$' indicates no prefix, i.e. plain meters
     }
 
     try:
@@ -206,6 +219,7 @@ def get_stp_unit_scale(stp_file):
 
         return 1.0
 
+
 def generate_stl_solids_from_stp(stp_file, results_path=None):
     """
     Extracts solid objects from a STEP (.stp) file and exports them as STL files.
@@ -233,13 +247,13 @@ def generate_stl_solids_from_stp(stp_file, results_path=None):
     try:
         import cadquery as cq
     except ImportError:
-        raise Exception('''This function needs the open-source package `cadquery`
+        raise Exception("""This function needs the open-source package `cadquery`
                         To install it in a conda environment do:
 
                         `pip install cadquery`
 
                         [!] We recommend having a dedicated conda environment to avoid version issues
-                        ''')
+                        """)
 
     stp = cq.importers.importStep(stp_file)
 
@@ -258,4 +272,3 @@ def generate_stl_solids_from_stp(stp_file, results_path=None):
         obj.exportStl(name)
 
     return solid_dict
-
diff --git a/wakis/grid2D.py b/wakis/grid2D.py
index 6d8e8e8..6c3163e 100644
--- a/wakis/grid2D.py
+++ b/wakis/grid2D.py
@@ -1,31 +1,31 @@
 import numpy as np
 from numba import jit
-import numba
+
 
 def seg_length(x_1, y_1, x_2, y_2):
     return np.linalg.norm(np.array([x_1 - x_2, y_1 - y_2]))
 
-@jit('b1(f8, f8)', nopython=True)
+
+@jit("b1(f8, f8)", nopython=True)
 def eq(a, b):
     tol = 1e-8
     return abs(a - b) < tol
 
-@jit('b1(f8, f8)', nopython=True)
+
+@jit("b1(f8, f8)", nopython=True)
 def neq(a, b):
-    tol = 1e-8
     return not eq(a, b)
 
 
 class Grid2D:
-
     """
-  Class holding the grid info and the routines for cell extensions.
-    Constructor arguments:
-        - xmin,xmax,ymin,ymax: extent of the domain.
-        - nx, ny: number of cells per direction
-        - conductors: conductor object
-        - sol_type: type of solver. 'FDTD' for staircased FDTD, 'DM' for Conformal Dey-Mittra FDTD,
-                    'ECT' for Extended Cell Technique conformal FDTD
+    Class holding the grid info and the routines for cell extensions.
+      Constructor arguments:
+          - xmin,xmax,ymin,ymax: extent of the domain.
+          - nx, ny: number of cells per direction
+          - conductors: conductor object
+          - sol_type: type of solver. 'FDTD' for staircased FDTD, 'DM' for Conformal Dey-Mittra FDTD,
+                      'ECT' for Extended Cell Technique conformal FDTD
     """
 
     def __init__(self, xmin, xmax, ymin, ymax, nx, ny, conductors, sol_type):
@@ -53,38 +53,90 @@ def __init__(self, xmin, xmax, ymin, ymax, nx, ny, conductors, sol_type):
         self.flag_intr_cell = np.zeros((nx, ny), dtype=bool)
         self.broken = np.zeros((self.nx, self.ny), dtype=bool)
 
-        if (sol_type is not 'FDTD') and (sol_type is not 'DM') and (sol_type is not 'ECT'):
-            raise ValueError("sol_type must be:\n" +
-                             "\t'FDTD' for standard staircased FDTD\n" +
-                             "\t'DM' for Dey-Mittra conformal FDTD\n" +
-                             "\t'ECT' for Enlarged Cell Technique conformal FDTD")
-
-        if sol_type is 'DM' or sol_type is 'FDTD':
-            self.compute_edges(in_conductor=self.conductors.in_conductor,
-                               intersec_x=self.conductors.intersec_x,
-                               intersec_y=self.conductors.intersec_y, l_x=self.l_x, l_y=self.l_y,
-                               dx=self.dx, dy=self.dy, nx=self.nx, ny=self.ny, xmin=self.xmin,
-                               ymin=self.ymin)
-            compute_areas(l_x=self.l_x, l_y=self.l_y, S=self.S, S_red=self.S_red, nx=self.nx,
-                               ny=self.ny, dx=self.dx, dy=self.dy)
-            mark_cells(l_x=self.l_x, l_y=self.l_y, nx=self.nx, ny=self.ny, dx=self.dx,
-                            dy=self.dy, S=self.S, flag_int_cell=self.flag_int_cell,
-                            S_stab=self.S_stab, flag_unst_cell=self.flag_unst_cell,
-                            flag_bound_cell=self.flag_bound_cell,
-                            flag_avail_cell=self.flag_avail_cell)
-        elif sol_type is 'ECT':
-            self.compute_edges(in_conductor=self.conductors.in_conductor,
-                               intersec_x=self.conductors.intersec_x,
-                               intersec_y=self.conductors.intersec_y, l_x=self.l_x, l_y=self.l_y,
-                               dx=self.dx, dy=self.dy, nx=self.nx, ny=self.ny, xmin=self.xmin,
-                               ymin=self.ymin)
-            compute_areas(l_x=self.l_x, l_y=self.l_y, S=self.S, S_red=self.S_red, nx=self.nx,
-                               ny=self.ny, dx=self.dx, dy=self.dy)
-            mark_cells(l_x=self.l_x, l_y=self.l_y, nx=self.nx, ny=self.ny, dx=self.dx,
-                            dy=self.dy, S=self.S, flag_int_cell=self.flag_int_cell,
-                            S_stab=self.S_stab, flag_unst_cell=self.flag_unst_cell,
-                            flag_bound_cell=self.flag_bound_cell,
-                            flag_avail_cell=self.flag_avail_cell)
+        if (sol_type != "FDTD") and (sol_type != "DM") and (sol_type != "ECT"):
+            raise ValueError(
+                "sol_type must be:\n"
+                + "\t'FDTD' for standard staircased FDTD\n"
+                + "\t'DM' for Dey-Mittra conformal FDTD\n"
+                + "\t'ECT' for Enlarged Cell Technique conformal FDTD"
+            )
+
+        if sol_type == "DM" or sol_type == "FDTD":
+            self.compute_edges(
+                in_conductor=self.conductors.in_conductor,
+                intersec_x=self.conductors.intersec_x,
+                intersec_y=self.conductors.intersec_y,
+                l_x=self.l_x,
+                l_y=self.l_y,
+                dx=self.dx,
+                dy=self.dy,
+                nx=self.nx,
+                ny=self.ny,
+                xmin=self.xmin,
+                ymin=self.ymin,
+            )
+            compute_areas(
+                l_x=self.l_x,
+                l_y=self.l_y,
+                S=self.S,
+                S_red=self.S_red,
+                nx=self.nx,
+                ny=self.ny,
+                dx=self.dx,
+                dy=self.dy,
+            )
+            mark_cells(
+                l_x=self.l_x,
+                l_y=self.l_y,
+                nx=self.nx,
+                ny=self.ny,
+                dx=self.dx,
+                dy=self.dy,
+                S=self.S,
+                flag_int_cell=self.flag_int_cell,
+                S_stab=self.S_stab,
+                flag_unst_cell=self.flag_unst_cell,
+                flag_bound_cell=self.flag_bound_cell,
+                flag_avail_cell=self.flag_avail_cell,
+            )
+        elif sol_type == "ECT":
+            self.compute_edges(
+                in_conductor=self.conductors.in_conductor,
+                intersec_x=self.conductors.intersec_x,
+                intersec_y=self.conductors.intersec_y,
+                l_x=self.l_x,
+                l_y=self.l_y,
+                dx=self.dx,
+                dy=self.dy,
+                nx=self.nx,
+                ny=self.ny,
+                xmin=self.xmin,
+                ymin=self.ymin,
+            )
+            compute_areas(
+                l_x=self.l_x,
+                l_y=self.l_y,
+                S=self.S,
+                S_red=self.S_red,
+                nx=self.nx,
+                ny=self.ny,
+                dx=self.dx,
+                dy=self.dy,
+            )
+            mark_cells(
+                l_x=self.l_x,
+                l_y=self.l_y,
+                nx=self.nx,
+                ny=self.ny,
+                dx=self.dx,
+                dy=self.dy,
+                S=self.S,
+                flag_int_cell=self.flag_int_cell,
+                S_stab=self.S_stab,
+                flag_unst_cell=self.flag_unst_cell,
+                flag_bound_cell=self.flag_bound_cell,
+                flag_avail_cell=self.flag_avail_cell,
+            )
             # info about intruded cells (i,j,[(i_borrowing,j_borrowing,area_borrowing, )])
             self.borrowing = np.empty((nx, ny), dtype=object)
 
@@ -92,13 +144,20 @@ def __init__(self, xmin, xmax, ymin, ymax, nx, ny, conductors, sol_type):
                 for j in range(ny):
                     self.borrowing[i, j] = []
             self.flag_ext_cell = self.flag_unst_cell.copy()
-            self.compute_extensions(nx=nx, ny=ny, S=self.S, flag_int_cell=self.flag_int_cell,
-                                    S_stab=self.S_stab, S_enl=self.S_enl, S_red=self.S_red,
-                                    flag_unst_cell=self.flag_unst_cell,
-                                    flag_avail_cell=self.flag_avail_cell,
-                                    flag_ext_cell=self.flag_ext_cell,
-                                    flag_intr_cell=self.flag_intr_cell,
-                                    borrowing=self.borrowing)
+            self.compute_extensions(
+                nx=nx,
+                ny=ny,
+                S=self.S,
+                flag_int_cell=self.flag_int_cell,
+                S_stab=self.S_stab,
+                S_enl=self.S_enl,
+                S_red=self.S_red,
+                flag_unst_cell=self.flag_unst_cell,
+                flag_avail_cell=self.flag_avail_cell,
+                flag_ext_cell=self.flag_ext_cell,
+                flag_intr_cell=self.flag_intr_cell,
+                borrowing=self.borrowing,
+            )
 
     """
   Function to compute the length of the edges of the conformal grid.
@@ -107,19 +166,31 @@ def __init__(self, xmin, xmax, ymin, ymax, nx, ny, conductors, sol_type):
     """
 
     @staticmethod
-    def compute_edges(tol=1e-8, in_conductor=None, intersec_x=None, intersec_y=None, l_x=None,
-                      l_y=None, dx=None, dy=None, nx=None, ny=None, xmin=None, ymin=None):
+    def compute_edges(
+        tol=1e-8,
+        in_conductor=None,
+        intersec_x=None,
+        intersec_y=None,
+        l_x=None,
+        l_y=None,
+        dx=None,
+        dy=None,
+        nx=None,
+        ny=None,
+        xmin=None,
+        ymin=None,
+    ):
         """
-         Notation:
-        
-               (x_3, y_3)----- l_x[i, j + 1] ---------
-                   |                                  |
-                   |                                  |
-                  l_y[i, j]        (i, j)            l_y[i + 1, j]
-                   |                                  |
-                   |                                  |
-               (x_1, y_1)------- l_x[i, j] -------(x_2, y_2)
-         
+        Notation:
+
+              (x_3, y_3)----- l_x[i, j + 1] ---------
+                  |                                  |
+                  |                                  |
+                 l_y[i, j]        (i, j)            l_y[i + 1, j]
+                  |                                  |
+                  |                                  |
+              (x_1, y_1)------- l_x[i, j] -------(x_2, y_2)
+
         """
         for ii in range(nx):
             for jj in range(ny + 1):
@@ -168,19 +239,19 @@ def compute_edges(tol=1e-8, in_conductor=None, intersec_x=None, intersec_y=None,
                         l_y[ii, jj] = dy
 
         # set to zero the length of very small cells
-        if tol > 0.:
+        if tol > 0.0:
             l_x /= dx
             l_y /= dy
 
             low_values_flags = abs(l_x) < tol
-            high_values_flags = abs(l_x - 1.) < tol
+            high_values_flags = abs(l_x - 1.0) < tol
             l_x[low_values_flags] = 0
-            l_x[high_values_flags] = 1.
+            l_x[high_values_flags] = 1.0
 
             low_values_flags = abs(l_y) < tol
-            high_values_flags = abs(l_y - 1.) < tol
+            high_values_flags = abs(l_y - 1.0) < tol
             l_y[low_values_flags] = 0
-            l_y[high_values_flags] = 1.
+            l_y[high_values_flags] = 1.0
 
             l_x *= dx
             l_y *= dy
@@ -190,32 +261,46 @@ def compute_edges(tol=1e-8, in_conductor=None, intersec_x=None, intersec_y=None,
     """
 
     @staticmethod
-    def compute_extensions(nx=None, ny=None, S=None, flag_int_cell=None,
-                           S_stab=None, S_enl=None, S_red=None,
-                           flag_unst_cell=None,
-                           flag_avail_cell=None,
-                           flag_ext_cell=None,
-                           flag_intr_cell = None,
-                           borrowing=None, l_verbose=True,
-                           kk=0):
-
+    def compute_extensions(
+        nx=None,
+        ny=None,
+        S=None,
+        flag_int_cell=None,
+        S_stab=None,
+        S_enl=None,
+        S_red=None,
+        flag_unst_cell=None,
+        flag_avail_cell=None,
+        flag_ext_cell=None,
+        flag_intr_cell=None,
+        borrowing=None,
+        l_verbose=True,
+        kk=0,
+    ):
         N = np.sum(flag_ext_cell)
 
         if l_verbose:
             print(kk)
-            print('ext cells: %d' % N)
+            print("ext cells: %d" % N)
         # Do the simple one-cell extension
-        Grid2D._compute_extensions_one_cell(nx=nx, ny=ny, S=S, S_stab=S_stab, S_enl=S_enl,
-                                            S_red=S_red, flag_avail_cell=flag_avail_cell,
-                                            flag_ext_cell=flag_ext_cell,
-                                            flag_intr_cell=flag_intr_cell,
-                                            borrowing=borrowing)
-
-        N_one_cell = (N - np.sum(flag_ext_cell))
+        Grid2D._compute_extensions_one_cell(
+            nx=nx,
+            ny=ny,
+            S=S,
+            S_stab=S_stab,
+            S_enl=S_enl,
+            S_red=S_red,
+            flag_avail_cell=flag_avail_cell,
+            flag_ext_cell=flag_ext_cell,
+            flag_intr_cell=flag_intr_cell,
+            borrowing=borrowing,
+        )
+
+        N_one_cell = N - np.sum(flag_ext_cell)
         if l_verbose:
-            print('one cell exts: %d' % N_one_cell)
+            print("one cell exts: %d" % N_one_cell)
         # If any cell could not be extended do the four-cell extension
-        '''
+        """
         if np.sum(flag_ext_cell) > 0:
             N = np.sum(flag_ext_cell)
             Grid2D._compute_extensions_four_cells(nx=nx, ny=ny, S=S, flag_int_cell=flag_int_cell,
@@ -228,97 +313,137 @@ def compute_extensions(nx=None, ny=None, S=None, flag_int_cell=None,
             N_four_cells = (N - np.sum(flag_ext_cell))
             if 1: #l_verbose:
                 print('four cell exts: %d' % N_four_cells)
-        '''
+        """
         # If any cell could not be extended do the eight-cell extension
         if np.sum(flag_ext_cell) > 0:
             N = np.sum(flag_ext_cell)
-            Grid2D._compute_extensions_eight_cells(nx=nx, ny=ny, S=S, flag_int_cell=flag_int_cell,
-                                                   S_stab=S_stab, S_enl=S_enl, S_red=S_red,
-                                                   flag_unst_cell=flag_unst_cell,
-                                                   flag_avail_cell=flag_avail_cell,
-                                                   flag_ext_cell=flag_ext_cell,
-                                                   flag_intr_cell=flag_intr_cell,
-                                                   borrowing=borrowing)
-            N_eight_cells = (N - np.sum(flag_ext_cell))
-            if 1: #l_verbose:
-                print('eight cell exts: %d' % N_eight_cells)
+            Grid2D._compute_extensions_eight_cells(
+                nx=nx,
+                ny=ny,
+                S=S,
+                flag_int_cell=flag_int_cell,
+                S_stab=S_stab,
+                S_enl=S_enl,
+                S_red=S_red,
+                flag_unst_cell=flag_unst_cell,
+                flag_avail_cell=flag_avail_cell,
+                flag_ext_cell=flag_ext_cell,
+                flag_intr_cell=flag_intr_cell,
+                borrowing=borrowing,
+            )
+            N_eight_cells = N - np.sum(flag_ext_cell)
+            if 1:  # l_verbose:
+                print("eight cell exts: %d" % N_eight_cells)
         # If any cell could not be extended the algorithm failed
         if np.sum(flag_ext_cell) > 0:
-            N = (np.sum(flag_ext_cell))
-            raise RuntimeError(str(N) + ' cells could not be extended.\n' +
-                               'Please refine the mesh')
+            N = np.sum(flag_ext_cell)
+            raise RuntimeError(
+                str(N) + " cells could not be extended.\n" + "Please refine the mesh"
+            )
 
     """
   Function to compute the one-cell extension of the unstable cells 
     """
 
     @staticmethod
-    def _compute_extensions_one_cell(nx=None, ny=None, S=None,
-                                     S_stab=None, S_enl=None, S_red=None, flag_avail_cell=None,
-                                     flag_ext_cell=None, flag_intr_cell=None, borrowing=None):
-
+    def _compute_extensions_one_cell(
+        nx=None,
+        ny=None,
+        S=None,
+        S_stab=None,
+        S_enl=None,
+        S_red=None,
+        flag_avail_cell=None,
+        flag_ext_cell=None,
+        flag_intr_cell=None,
+        borrowing=None,
+    ):
         for ii in range(0, nx):
             for jj in range(0, ny):
                 if flag_ext_cell[ii, jj]:
                     S_ext = S_stab[ii, jj] - S[ii, jj]
-                    if (S[ii - 1, jj] > S_ext and flag_avail_cell[ii - 1, jj]):
+                    if S[ii - 1, jj] > S_ext and flag_avail_cell[ii - 1, jj]:
                         denom = S[ii - 1, jj]
                         patch = S_ext * S[ii - 1, jj] / denom
                         if S_red[ii - 1, jj] - patch > 0:
                             S_red[ii - 1, jj] -= patch
                             borrowing[ii, jj].append([ii - 1, jj, patch, None])
-                            flag_intr_cell[ii-1, jj] = True
+                            flag_intr_cell[ii - 1, jj] = True
                             S_enl[ii, jj] = S[ii, jj] + patch
                             flag_ext_cell[ii, jj] = False
-                    if (S[ii, jj - 1] > S_ext and flag_avail_cell[ii, jj - 1] and flag_ext_cell[ii, jj]):
+                    if (
+                        S[ii, jj - 1] > S_ext
+                        and flag_avail_cell[ii, jj - 1]
+                        and flag_ext_cell[ii, jj]
+                    ):
                         denom = S[ii, jj - 1]
                         patch = S_ext * S[ii, jj - 1] / denom
                         if S_red[ii, jj - 1] - patch > 0:
                             S_red[ii, jj - 1] -= patch
                             borrowing[ii, jj].append([ii, jj - 1, patch, None])
-                            flag_intr_cell[ii, jj-1] = True
+                            flag_intr_cell[ii, jj - 1] = True
                             S_enl[ii, jj] = S[ii, jj] + patch
                             flag_ext_cell[ii, jj] = False
-                    if (S[ii, jj + 1] > S_ext and flag_avail_cell[ii, jj + 1]
-                            and flag_ext_cell[ii, jj]):
+                    if (
+                        S[ii, jj + 1] > S_ext
+                        and flag_avail_cell[ii, jj + 1]
+                        and flag_ext_cell[ii, jj]
+                    ):
                         denom = S[ii, jj + 1]
                         patch = S_ext * S[ii, jj + 1] / denom
                         if S_red[ii, jj + 1] - patch > 0:
                             S_red[ii, jj + 1] -= patch
                             borrowing[ii, jj].append([ii, jj + 1, patch, None])
-                            flag_intr_cell[ii, jj+1] = True
+                            flag_intr_cell[ii, jj + 1] = True
                             S_enl[ii, jj] = S[ii, jj] + patch
                             flag_ext_cell[ii, jj] = False
-                    if (S[ii + 1, jj] > S_ext and flag_avail_cell[ii + 1, jj]
-                            and flag_ext_cell[ii, jj]):
+                    if (
+                        S[ii + 1, jj] > S_ext
+                        and flag_avail_cell[ii + 1, jj]
+                        and flag_ext_cell[ii, jj]
+                    ):
                         denom = S[ii + 1, jj]
                         patch = S_ext * S[ii + 1, jj] / denom
                         if S_red[ii + 1, jj] - patch > 0:
                             S_red[ii + 1, jj] -= patch
                             borrowing[ii, jj].append([ii + 1, jj, patch, None])
-                            flag_intr_cell[ii+1, jj] = True
+                            flag_intr_cell[ii + 1, jj] = True
                             S_enl[ii, jj] = S[ii, jj] + patch
                             flag_ext_cell[ii, jj] = False
 
-
     """
   Function to compute the four-cell extension of the unstable cells 
     """
 
     @staticmethod
-    def _compute_extensions_four_cells(nx=None, ny=None, S=None, flag_int_cell=None,
-                                       S_stab=None, S_enl=None, S_red=None, flag_unst_cell=None,
-                                       flag_avail_cell=None, flag_ext_cell=None,
-                                        flag_intr_cell=None, borrowing=None):
+    def _compute_extensions_four_cells(
+        nx=None,
+        ny=None,
+        S=None,
+        flag_int_cell=None,
+        S_stab=None,
+        S_enl=None,
+        S_red=None,
+        flag_unst_cell=None,
+        flag_avail_cell=None,
+        flag_ext_cell=None,
+        flag_intr_cell=None,
+        borrowing=None,
+    ):
         for ii in range(0, nx):
             for jj in range(0, ny):
                 local_avail = flag_avail_cell.copy()
-                if (flag_unst_cell[ii, jj] and flag_int_cell[ii, jj]
-                        and flag_ext_cell[ii, jj]):
-                    denom = ((flag_avail_cell[ii - 1, jj]) * S[ii - 1, jj] + (
-                        flag_avail_cell[ii + 1, jj]) * S[ii + 1, jj] +
-                             (flag_avail_cell[ii, jj - 1]) * S[ii, jj - 1] + (
-                                 flag_avail_cell[ii, jj + 1]) * S[ii, jj + 1])
+                if (
+                    flag_unst_cell[ii, jj]
+                    and flag_int_cell[ii, jj]
+                    and flag_ext_cell[ii, jj]
+                ):
+                    denom = (
+                        (flag_avail_cell[ii - 1, jj]) * S[ii - 1, jj]
+                        + (flag_avail_cell[ii + 1, jj]) * S[ii + 1, jj]
+                        + (flag_avail_cell[ii, jj - 1]) * S[ii, jj - 1]
+                        + (flag_avail_cell[ii, jj + 1]) * S[ii, jj + 1]
+                    )
                     S_ext = S_stab[ii, jj] - S[ii, jj]
                     neg_cell = True
                     # idea: if any cell would reach negative area it is locally not available.
@@ -346,10 +471,12 @@ def _compute_extensions_four_cells(nx=None, ny=None, S=None, flag_int_cell=None,
                             if S_red[ii, jj + 1] - patch <= 0:
                                 neg_cell = True
                                 local_avail[ii, jj + 1] = False
-                        denom = ((local_avail[ii - 1, jj]) * S[ii - 1, jj] +
-                                 (local_avail[ii + 1, jj]) * S[ii + 1, jj] +
-                                 (local_avail[ii, jj - 1]) * S[ii, jj - 1] +
-                                 (local_avail[ii, jj + 1]) * S[ii, jj + 1])
+                        denom = (
+                            (local_avail[ii - 1, jj]) * S[ii - 1, jj]
+                            + (local_avail[ii + 1, jj]) * S[ii + 1, jj]
+                            + (local_avail[ii, jj - 1]) * S[ii, jj - 1]
+                            + (local_avail[ii, jj + 1]) * S[ii, jj + 1]
+                        )
 
                     # If possible, do 4-cell extension
                     if denom >= S_ext:
@@ -357,25 +484,25 @@ def _compute_extensions_four_cells(nx=None, ny=None, S=None, flag_int_cell=None,
                         if local_avail[ii - 1, jj]:
                             patch = S_ext * S[ii - 1, jj] / denom
                             borrowing[ii, jj].append([ii - 1, jj, patch, None])
-                            flag_intr_cell[ii-1, jj] = True
+                            flag_intr_cell[ii - 1, jj] = True
                             S_enl[ii, jj] += patch
                             S_red[ii - 1, jj] -= patch
                         if local_avail[ii + 1, jj]:
                             patch = S_ext * S[ii + 1, jj] / denom
                             borrowing[ii, jj].append([ii + 1, jj, patch, None])
-                            flag_intr_cell[ii+1, jj] = True
+                            flag_intr_cell[ii + 1, jj] = True
                             S_enl[ii, jj] += patch
                             S_red[ii + 1, jj] -= patch
                         if local_avail[ii, jj - 1]:
                             patch = S_ext * S[ii, jj - 1] / denom
                             borrowing[ii, jj].append([ii, jj - 1, patch, None])
-                            flag_intr_cell[ii, jj-1] = True
+                            flag_intr_cell[ii, jj - 1] = True
                             S_enl[ii, jj] += patch
                             S_red[ii, jj - 1] -= patch
                         if local_avail[ii, jj + 1]:
                             patch = S_ext * S[ii, jj + 1] / denom
                             borrowing[ii, jj].append([ii, jj + 1, patch, None])
-                            flag_intr_cell[ii, jj+1] = True
+                            flag_intr_cell[ii, jj + 1] = True
                             S_enl[ii, jj] += patch
                             S_red[ii, jj + 1] -= patch
 
@@ -386,26 +513,41 @@ def _compute_extensions_four_cells(nx=None, ny=None, S=None, flag_int_cell=None,
     """
 
     @staticmethod
-    def _compute_extensions_eight_cells(nx=None, ny=None, S=None, flag_int_cell=None,
-                                        S_stab=None, S_enl=None, S_red=None, flag_unst_cell=None,
-                                        flag_avail_cell=None, flag_ext_cell=None,
-                                        flag_intr_cell=None, borrowing=None):
+    def _compute_extensions_eight_cells(
+        nx=None,
+        ny=None,
+        S=None,
+        flag_int_cell=None,
+        S_stab=None,
+        S_enl=None,
+        S_red=None,
+        flag_unst_cell=None,
+        flag_avail_cell=None,
+        flag_ext_cell=None,
+        flag_intr_cell=None,
+        borrowing=None,
+    ):
         for ii in range(0, nx):
             for jj in range(0, ny):
                 local_avail = flag_avail_cell.copy()
-                if (flag_unst_cell[ii, jj] and flag_int_cell[ii, jj]
-                        and flag_ext_cell[ii, jj]):
+                if (
+                    flag_unst_cell[ii, jj]
+                    and flag_int_cell[ii, jj]
+                    and flag_ext_cell[ii, jj]
+                ):
                     S_enl[ii, jj] = S[ii, jj]
                     S_ext = S_stab[ii, jj] - S[ii, jj]
 
-                    denom = ((flag_avail_cell[ii - 1, jj]) * S[ii - 1, jj] +
-                             (flag_avail_cell[ii + 1, jj]) * S[ii + 1, jj] +
-                             (flag_avail_cell[ii, jj - 1]) * S[ii, jj - 1] +
-                             (flag_avail_cell[ii, jj + 1]) * S[ii, jj + 1] +
-                             (flag_avail_cell[ii - 1, jj - 1]) * S[ii - 1, jj - 1] +
-                             (flag_avail_cell[ii + 1, jj - 1]) * S[ii + 1, jj - 1] +
-                             (flag_avail_cell[ii - 1, jj + 1]) * S[ii - 1, jj + 1] +
-                             (flag_avail_cell[ii + 1, jj + 1]) * S[ii + 1, jj + 1])
+                    denom = (
+                        (flag_avail_cell[ii - 1, jj]) * S[ii - 1, jj]
+                        + (flag_avail_cell[ii + 1, jj]) * S[ii + 1, jj]
+                        + (flag_avail_cell[ii, jj - 1]) * S[ii, jj - 1]
+                        + (flag_avail_cell[ii, jj + 1]) * S[ii, jj + 1]
+                        + (flag_avail_cell[ii - 1, jj - 1]) * S[ii - 1, jj - 1]
+                        + (flag_avail_cell[ii + 1, jj - 1]) * S[ii + 1, jj - 1]
+                        + (flag_avail_cell[ii - 1, jj + 1]) * S[ii - 1, jj + 1]
+                        + (flag_avail_cell[ii + 1, jj + 1]) * S[ii + 1, jj + 1]
+                    )
 
                     neg_cell = True
                     while denom >= S_ext and neg_cell:
@@ -451,72 +593,77 @@ def _compute_extensions_eight_cells(nx=None, ny=None, S=None, flag_int_cell=None
                                 neg_cell = True
                                 local_avail[ii + 1, jj + 1] = False
 
-                        denom = ((local_avail[ii - 1, jj]) * S[ii - 1, jj] +
-                                 (local_avail[ii + 1, jj]) * S[ii + 1, jj] +
-                                 (local_avail[ii, jj - 1]) * S[ii, jj - 1] +
-                                 (local_avail[ii, jj + 1]) * S[ii, jj + 1] +
-                                 (local_avail[ii - 1, jj - 1]) * S[ii - 1, jj - 1] +
-                                 (local_avail[ii + 1, jj - 1]) * S[ii + 1, jj - 1] +
-                                 (local_avail[ii - 1, jj + 1]) * S[ii - 1, jj + 1] +
-                                 (local_avail[ii + 1, jj + 1]) * S[ii + 1, jj + 1])
+                        denom = (
+                            (local_avail[ii - 1, jj]) * S[ii - 1, jj]
+                            + (local_avail[ii + 1, jj]) * S[ii + 1, jj]
+                            + (local_avail[ii, jj - 1]) * S[ii, jj - 1]
+                            + (local_avail[ii, jj + 1]) * S[ii, jj + 1]
+                            + (local_avail[ii - 1, jj - 1]) * S[ii - 1, jj - 1]
+                            + (local_avail[ii + 1, jj - 1]) * S[ii + 1, jj - 1]
+                            + (local_avail[ii - 1, jj + 1]) * S[ii - 1, jj + 1]
+                            + (local_avail[ii + 1, jj + 1]) * S[ii + 1, jj + 1]
+                        )
 
                     if denom >= S_ext:
                         S_enl[ii, jj] = S[ii, jj]
                         if local_avail[ii - 1, jj]:
                             patch = S_ext * S[ii - 1, jj] / denom
                             borrowing[ii, jj].append([ii - 1, jj, patch, None])
-                            flag_intr_cell[ii-1, jj] = True
+                            flag_intr_cell[ii - 1, jj] = True
                             S_enl[ii, jj] += patch
                             S_red[ii - 1, jj] -= patch
                         if local_avail[ii + 1, jj]:
                             patch = S_ext * S[ii + 1, jj] / denom
                             borrowing[ii, jj].append([ii + 1, jj, patch, None])
-                            flag_intr_cell[ii+1, jj] = True
+                            flag_intr_cell[ii + 1, jj] = True
                             S_enl[ii, jj] += patch
                             S_red[ii + 1, jj] -= patch
                         if local_avail[ii, jj - 1]:
                             patch = S_ext * S[ii, jj - 1] / denom
                             borrowing[ii, jj].append([ii, jj - 1, patch, None])
-                            flag_intr_cell[ii, jj-1] = True
+                            flag_intr_cell[ii, jj - 1] = True
                             S_enl[ii, jj] += patch
                             S_red[ii, jj - 1] -= patch
                         if local_avail[ii, jj + 1]:
                             patch = S_ext * S[ii, jj + 1] / denom
                             borrowing[ii, jj].append([ii, jj + 1, patch, None])
-                            flag_intr_cell[ii, jj+1] = True
+                            flag_intr_cell[ii, jj + 1] = True
                             S_enl[ii, jj] += patch
                             S_red[ii, jj + 1] -= patch
                         if local_avail[ii - 1, jj - 1]:
                             patch = S_ext * S[ii - 1, jj - 1] / denom
                             borrowing[ii, jj].append([ii - 1, jj - 1, patch, None])
-                            flag_intr_cell[ii-1, jj-1] = True
+                            flag_intr_cell[ii - 1, jj - 1] = True
                             S_enl[ii, jj] += patch
                             S_red[ii - 1, jj - 1] -= patch
                         if local_avail[ii + 1, jj - 1]:
                             patch = S_ext * S[ii + 1, jj - 1] / denom
                             borrowing[ii, jj].append([ii + 1, jj - 1, patch, None])
-                            flag_intr_cell[ii+1, jj-1] = True
+                            flag_intr_cell[ii + 1, jj - 1] = True
                             S_enl[ii, jj] += patch
                             S_red[ii + 1, jj - 1] -= patch
                         if local_avail[ii - 1, jj + 1]:
                             patch = S_ext * S[ii - 1, jj + 1] / denom
                             borrowing[ii, jj].append([ii - 1, jj + 1, patch, None])
-                            flag_intr_cell[ii-1, jj+1] = True
+                            flag_intr_cell[ii - 1, jj + 1] = True
                             S_enl[ii, jj] += patch
                             S_red[ii - 1, jj + 1] -= patch
                         if local_avail[ii + 1, jj + 1]:
                             patch = S_ext * S[ii + 1, jj + 1] / denom
                             borrowing[ii, jj].append([ii + 1, jj + 1, patch, None])
-                            flag_intr_cell[ii+1, jj+1] = True
+                            flag_intr_cell[ii + 1, jj + 1] = True
                             S_enl[ii, jj] += patch
                             S_red[ii + 1, jj + 1] -= patch
 
                         flag_ext_cell[ii, jj] = False
 
+
 """
 Function to compute the area of the cells of the conformal grid.
 """
-@jit('(f8[:,:], f8[:,:], f8[:,:], f8[:,:], i4, i4, f8, f8)', nopython=True)
+
+
+@jit("(f8[:,:], f8[:,:], f8[:,:], f8[:,:], i4, i4, f8, f8)", nopython=True)
 def compute_areas(l_x, l_y, S, S_red, nx, ny, dx, dy):
     # Normalize the grid lengths for robustness
     l_x /= dx
@@ -527,69 +674,158 @@ def compute_areas(l_x, l_y, S, S_red, nx, ny, dx, dy):
         for jj in range(ny):
             # If at least 3 edges have full length consider the area as full
             # (this also takes care of the case in which an edge lies exactly on the boundary)
-            #count_cane = eq(l_x[ii, jj], 1.0) + eq(l_y[ii, jj], 1.0) + eq(l_x[ii, jj + 1], 1.0) + eq(l_y[ii + 1, jj], 1.0)
-            if (np.sum(np.array([eq(l_x[ii, jj], 1.0), eq(l_y[ii, jj], 1.0),
-                       eq(l_x[ii, jj + 1], 1.0), eq(l_y[ii + 1, jj], 1.0)])) >= 3):
-            #if count_cane >=3:
+            # count_cane = eq(l_x[ii, jj], 1.0) + eq(l_y[ii, jj], 1.0) + eq(l_x[ii, jj + 1], 1.0) + eq(l_y[ii + 1, jj], 1.0)
+            if (
+                np.sum(
+                    np.array(
+                        [
+                            eq(l_x[ii, jj], 1.0),
+                            eq(l_y[ii, jj], 1.0),
+                            eq(l_x[ii, jj + 1], 1.0),
+                            eq(l_y[ii + 1, jj], 1.0),
+                        ]
+                    )
+                )
+                >= 3
+            ):
+                # if count_cane >=3:
                 S[ii, jj] = 1.0
-            elif (eq(l_x[ii, jj], 0.) and neq(l_y[ii, jj], 0.)
-                  and neq(l_x[ii, jj + 1], 0.) and neq(l_y[ii + 1, jj], 0)):
+            elif (
+                eq(l_x[ii, jj], 0.0)
+                and neq(l_y[ii, jj], 0.0)
+                and neq(l_x[ii, jj + 1], 0.0)
+                and neq(l_y[ii + 1, jj], 0)
+            ):
                 S[ii, jj] = 0.5 * (l_y[ii, jj] + l_y[ii + 1, jj]) * l_x[ii, jj + 1]
-            elif (eq(l_x[ii, jj + 1], 0.) and neq(l_y[ii, jj], 0.)
-                  and neq(l_x[ii, jj], 0.) and neq(l_y[ii + 1, jj], 0.)):
+            elif (
+                eq(l_x[ii, jj + 1], 0.0)
+                and neq(l_y[ii, jj], 0.0)
+                and neq(l_x[ii, jj], 0.0)
+                and neq(l_y[ii + 1, jj], 0.0)
+            ):
                 S[ii, jj] = 0.5 * (l_y[ii, jj] + l_y[ii + 1, jj]) * l_x[ii, jj]
-            elif (eq(l_y[ii, jj], 0.) and neq(l_x[ii, jj], 0.)
-                  and neq(l_x[ii, jj + 1], 0.) and neq(l_y[ii + 1, jj], 0.)):
+            elif (
+                eq(l_y[ii, jj], 0.0)
+                and neq(l_x[ii, jj], 0.0)
+                and neq(l_x[ii, jj + 1], 0.0)
+                and neq(l_y[ii + 1, jj], 0.0)
+            ):
                 S[ii, jj] = 0.5 * (l_x[ii, jj] + l_x[ii, jj + 1]) * l_y[ii + 1, jj]
-            elif (eq(l_y[ii + 1, jj], 0.) and neq(l_x[ii, jj], 0.) and neq(l_y[ii, jj], 0.)
-                  and neq(l_x[ii, jj + 1], 0.)):
+            elif (
+                eq(l_y[ii + 1, jj], 0.0)
+                and neq(l_x[ii, jj], 0.0)
+                and neq(l_y[ii, jj], 0.0)
+                and neq(l_x[ii, jj + 1], 0.0)
+            ):
                 S[ii, jj] = 0.5 * (l_x[ii, jj] + l_x[ii, jj + 1]) * l_y[ii, jj]
-            elif (eq(l_x[ii, jj], 0.) and eq(l_y[ii, jj], 0.)
-                  and neq(l_x[ii, jj + 1], 0.) and neq(l_y[ii + 1, jj], 0.)):
+            elif (
+                eq(l_x[ii, jj], 0.0)
+                and eq(l_y[ii, jj], 0.0)
+                and neq(l_x[ii, jj + 1], 0.0)
+                and neq(l_y[ii + 1, jj], 0.0)
+            ):
                 S[ii, jj] = 0.5 * l_x[ii, jj + 1] * l_y[ii + 1, jj]
-            elif (eq(l_x[ii, jj], 0.) and eq(l_y[ii + 1, jj], 0.)
-                  and neq(l_x[ii, jj + 1], 0.) and neq(l_y[ii, jj], 0.)):
+            elif (
+                eq(l_x[ii, jj], 0.0)
+                and eq(l_y[ii + 1, jj], 0.0)
+                and neq(l_x[ii, jj + 1], 0.0)
+                and neq(l_y[ii, jj], 0.0)
+            ):
                 S[ii, jj] = 0.5 * l_x[ii, jj + 1] * l_y[ii, jj]
-            elif (eq(l_x[ii, jj + 1], 0.) and eq(l_y[ii + 1, jj], 0.)
-                  and neq(l_x[ii, jj], 0.) and neq(l_y[ii, jj], 0.)):
+            elif (
+                eq(l_x[ii, jj + 1], 0.0)
+                and eq(l_y[ii + 1, jj], 0.0)
+                and neq(l_x[ii, jj], 0.0)
+                and neq(l_y[ii, jj], 0.0)
+            ):
                 S[ii, jj] = 0.5 * l_x[ii, jj] * l_y[ii, jj]
-            elif (eq(l_x[ii, jj + 1], 0.) and eq(l_y[ii, jj], 0.)
-                  and neq(l_x[ii, jj], 0.) and neq(l_y[ii + 1, jj], 0.)):
+            elif (
+                eq(l_x[ii, jj + 1], 0.0)
+                and eq(l_y[ii, jj], 0.0)
+                and neq(l_x[ii, jj], 0.0)
+                and neq(l_y[ii + 1, jj], 0.0)
+            ):
                 S[ii, jj] = 0.5 * l_x[ii, jj] * l_y[ii + 1, jj]
-            elif (0. < l_x[ii, jj] <= 1. and 0. < l_y[ii, jj] <= 1.
-                  and eq(l_x[ii, jj + 1], 1.) and eq(l_y[ii + 1, jj], 1.)):
-                S[ii, jj] = 1. - 0.5 * (1. - l_x[ii, jj]) * (1. - l_y[ii, jj])
-            elif (0. < l_x[ii, jj] <= 1. and 0. < l_y[ii + 1, jj] <= 1.
-                  and eq(l_x[ii, jj + 1], 1.) and eq(l_y[ii, jj], 1.)):
-                S[ii, jj] = 1. - 0.5 * (1. - l_x[ii, jj]) * (1. - l_y[ii + 1, jj])
-            elif (0. < l_x[ii, jj + 1] <= 1. and 0. < l_y[ii + 1, jj] <= 1.
-                  and eq(l_x[ii, jj], 1.) and eq(l_y[ii, jj], 1.)):
-                S[ii, jj] = 1. - 0.5 * (1. - l_x[ii, jj + 1]) * (1. - l_y[ii + 1, jj])
-            elif (0. < l_x[ii, jj + 1] <= 1. and 0. < l_y[ii, jj] <= 1.
-                  and eq(l_x[ii, jj], 1.) and eq(l_y[ii + 1, jj], 1.)):
-                S[ii, jj] = 1. - 0.5 * (1. - l_x[ii, jj + 1]) * (1. - l_y[ii, jj])
+            elif (
+                0.0 < l_x[ii, jj] <= 1.0
+                and 0.0 < l_y[ii, jj] <= 1.0
+                and eq(l_x[ii, jj + 1], 1.0)
+                and eq(l_y[ii + 1, jj], 1.0)
+            ):
+                S[ii, jj] = 1.0 - 0.5 * (1.0 - l_x[ii, jj]) * (1.0 - l_y[ii, jj])
+            elif (
+                0.0 < l_x[ii, jj] <= 1.0
+                and 0.0 < l_y[ii + 1, jj] <= 1.0
+                and eq(l_x[ii, jj + 1], 1.0)
+                and eq(l_y[ii, jj], 1.0)
+            ):
+                S[ii, jj] = 1.0 - 0.5 * (1.0 - l_x[ii, jj]) * (1.0 - l_y[ii + 1, jj])
+            elif (
+                0.0 < l_x[ii, jj + 1] <= 1.0
+                and 0.0 < l_y[ii + 1, jj] <= 1.0
+                and eq(l_x[ii, jj], 1.0)
+                and eq(l_y[ii, jj], 1.0)
+            ):
+                S[ii, jj] = 1.0 - 0.5 * (1.0 - l_x[ii, jj + 1]) * (
+                    1.0 - l_y[ii + 1, jj]
+                )
+            elif (
+                0.0 < l_x[ii, jj + 1] <= 1.0
+                and 0.0 < l_y[ii, jj] <= 1.0
+                and eq(l_x[ii, jj], 1.0)
+                and eq(l_y[ii + 1, jj], 1.0)
+            ):
+                S[ii, jj] = 1.0 - 0.5 * (1.0 - l_x[ii, jj + 1]) * (1.0 - l_y[ii, jj])
 
     l_x *= dx
     l_y *= dy
 
+
 """
 Function to mark wich cells are interior (int), require extension (unst),
 are on the boundary(bound), are available for intrusion (avail)
 """
-@jit('(f8[:,:], f8[:,:], i4, i4, f8, f8, f8[:,:], b1[:,:], f8[:,:], b1[:,:], b1[:,:], b1[:,:])', nopython=True)
-def mark_cells(l_x, l_y, nx, ny, dx, dy, S, flag_int_cell, S_stab,
-               flag_unst_cell, flag_bound_cell, flag_avail_cell):
+
+
+@jit(
+    "(f8[:,:], f8[:,:], i4, i4, f8, f8, f8[:,:], b1[:,:], f8[:,:], b1[:,:], b1[:,:], b1[:,:])",
+    nopython=True,
+)
+def mark_cells(
+    l_x,
+    l_y,
+    nx,
+    ny,
+    dx,
+    dy,
+    S,
+    flag_int_cell,
+    S_stab,
+    flag_unst_cell,
+    flag_bound_cell,
+    flag_avail_cell,
+):
     for ii in range(nx):
         for jj in range(ny):
             flag_int_cell[ii, jj] = S[ii, jj] > 0
             if flag_int_cell[ii, jj]:
                 S_stab[ii, jj] = 0.5 * np.max(
-                    np.array([l_x[ii, jj] * dy, l_x[ii, jj + 1] * dy,
-                    l_y[ii, jj] * dx,
-                    l_y[ii + 1, jj] * dx]))
+                    np.array(
+                        [
+                            l_x[ii, jj] * dy,
+                            l_x[ii, jj + 1] * dy,
+                            l_y[ii, jj] * dx,
+                            l_y[ii + 1, jj] * dx,
+                        ]
+                    )
+                )
             flag_unst_cell[ii, jj] = S[ii, jj] < S_stab[ii, jj]
-            flag_bound_cell[ii, jj] = ((0 < l_x[ii, jj] < dx) or
-                                       (0 < l_y[ii, jj] < dy) or
-                                       (0 < l_x[ii, jj + 1] < dx) or
-                                       (0 < l_y[ii + 1, jj] < dy))
-            flag_avail_cell[ii, jj] = flag_int_cell[ii, jj] and (not flag_unst_cell[ii, jj])
+            flag_bound_cell[ii, jj] = (
+                (0 < l_x[ii, jj] < dx)
+                or (0 < l_y[ii, jj] < dy)
+                or (0 < l_x[ii, jj + 1] < dx)
+                or (0 < l_y[ii + 1, jj] < dy)
+            )
+            flag_avail_cell[ii, jj] = flag_int_cell[ii, jj] and (
+                not flag_unst_cell[ii, jj]
+            )
diff --git a/wakis/grid3D.py b/wakis/grid3D.py
index f08aad4..2149673 100644
--- a/wakis/grid3D.py
+++ b/wakis/grid3D.py
@@ -4,6 +4,7 @@
 from numba import jit
 from field import Field
 
+
 def seg_length(x_1, y_1, z_1, x_2, y_2, z_2):
     return np.linalg.norm(np.array([x_1 - x_2, y_1 - y_2, z_1 - z_2]))
 
@@ -15,25 +16,27 @@ def eq(a, b, tol=1e-8):
 def neq(a, b, tol=1e-8):
     return not eq(a, b, tol)
 
-    # Undo the normalization
-    S *= dx * dy
-    l_x *= dx
-    l_y *= dy
-    S_red[:] = S.copy()[:]
+    # # Undo the normalization
+    # S *= dx * dy
+    # l_x *= dx
+    # l_y *= dy
+    # S_red[:] = S.copy()[:]
+
 
 class Grid3D:
     """
-  Class holding the grid info and the routines for cell extensions.
-    Constructor arguments:
-        - xmin, xmax, ymin, ymax, zmin, zmax: extent of the domain.
-        - nx, ny, nz: number of cells per direction
-        - conductors: conductor object
-        - sol_type: type of solver. 'FDTD' for staircased FDTD, 'DM' for Conformal Dey-Mittra FDTD,
-                    'ECT' for Enlarged Cell Technique conformal FDTD
+    Class holding the grid info and the routines for cell extensions.
+      Constructor arguments:
+          - xmin, xmax, ymin, ymax, zmin, zmax: extent of the domain.
+          - nx, ny, nz: number of cells per direction
+          - conductors: conductor object
+          - sol_type: type of solver. 'FDTD' for staircased FDTD, 'DM' for Conformal Dey-Mittra FDTD,
+                      'ECT' for Enlarged Cell Technique conformal FDTD
     """
 
-    def __init__(self, xmin, xmax, ymin, ymax, zmin, zmax, nx, ny, nz, conductors, sol_type):
-        
+    def __init__(
+        self, xmin, xmax, ymin, ymax, zmin, zmax, nx, ny, nz, conductors, sol_type
+    ):
         self.xmin = xmin
         self.xmax = xmax
         self.ymin = ymin
@@ -85,32 +88,114 @@ def __init__(self, xmin, xmax, ymin, ymax, zmin, zmax, nx, ny, nz, conductors, s
         self.broken_yz = np.zeros_like(self.Syz, dtype=bool)
         self.broken_zx = np.zeros_like(self.Szx, dtype=bool)
 
-        if (sol_type is not 'FDTD') and (sol_type is not 'DM') and (sol_type is not 'ECT') and (sol_type is not 'FIT'):
-            raise ValueError("sol_type must be:\n" +
-                             "\t'FDTD' for standard staircased FDTD\n" +
-                             "\t'DM' for Dey-Mittra conformal FDTD\n" +
-                             "\t'ECT' for Enlarged Cell Technique conformal FDTD")
+        if (
+            (sol_type != "FDTD")
+            and (sol_type != "DM")
+            and (sol_type != "ECT")
+            and (sol_type != "FIT")
+        ):
+            raise ValueError(
+                "sol_type must be:\n"
+                + "\t'FDTD' for standard staircased FDTD\n"
+                + "\t'DM' for Dey-Mittra conformal FDTD\n"
+                + "\t'ECT' for Enlarged Cell Technique conformal FDTD"
+            )
 
         self.compute_edges()
-        if sol_type is 'DM' or sol_type is 'FDTD': #or sol_type is 'FIT':
-            self.compute_areas(self.l_x, self.l_y, self.l_z, self.Sxy, self.Syz, self.Szx,
-                               self.Sxy_red, self.Syz_red, self.Szx_red,
-                               self.nx, self.ny, self.nz, self.dx, self.dy, self.dz)
-            self.mark_cells(self.l_x, self.l_y, self.l_z, self.nx, self.ny, self.nz, self.dx, self.dy, self.dz,
-                            self.Sxy, self.Syz, self.Szx, self.flag_int_cell_xy, self.flag_int_cell_yz, self.flag_int_cell_zx,
-                            self.Sxy_stab, self.Syz_stab, self.Szx_stab, self.flag_unst_cell_xy, self.flag_unst_cell_yz,
-                            self.flag_unst_cell_zx, self.flag_bound_cell_xy, self.flag_bound_cell_yz, self.flag_bound_cell_zx,
-                            self.flag_avail_cell_xy, self.flag_avail_cell_yz, self.flag_avail_cell_zx)
-        elif sol_type is 'ECT':
-            self.compute_areas(self.l_x, self.l_y, self.l_z, self.Sxy, self.Syz, self.Szx,
-                               self.Sxy_red, self.Syz_red, self.Szx_red,
-                               self.nx, self.ny, self.nz, self.dx, self.dy, self.dz)
-            self.mark_cells(self.l_x, self.l_y, self.l_z, self.nx, self.ny, self.nz, self.dx, self.dy, self.dz,
-                            self.Sxy, self.Syz, self.Szx, self.flag_int_cell_xy, self.flag_int_cell_yz, self.flag_int_cell_zx,
-                            self.Sxy_stab, self.Syz_stab, self.Szx_stab, self.flag_unst_cell_xy, self.flag_unst_cell_yz,
-                            self.flag_unst_cell_zx, self.flag_bound_cell_xy, self.flag_bound_cell_yz, self.flag_bound_cell_zx,
-                            self.flag_avail_cell_xy, self.flag_avail_cell_yz, self.flag_avail_cell_zx)
-
+        if sol_type == "DM" or sol_type == "FDTD":  # or sol_type is 'FIT':
+            self.compute_areas(
+                self.l_x,
+                self.l_y,
+                self.l_z,
+                self.Sxy,
+                self.Syz,
+                self.Szx,
+                self.Sxy_red,
+                self.Syz_red,
+                self.Szx_red,
+                self.nx,
+                self.ny,
+                self.nz,
+                self.dx,
+                self.dy,
+                self.dz,
+            )
+            self.mark_cells(
+                self.l_x,
+                self.l_y,
+                self.l_z,
+                self.nx,
+                self.ny,
+                self.nz,
+                self.dx,
+                self.dy,
+                self.dz,
+                self.Sxy,
+                self.Syz,
+                self.Szx,
+                self.flag_int_cell_xy,
+                self.flag_int_cell_yz,
+                self.flag_int_cell_zx,
+                self.Sxy_stab,
+                self.Syz_stab,
+                self.Szx_stab,
+                self.flag_unst_cell_xy,
+                self.flag_unst_cell_yz,
+                self.flag_unst_cell_zx,
+                self.flag_bound_cell_xy,
+                self.flag_bound_cell_yz,
+                self.flag_bound_cell_zx,
+                self.flag_avail_cell_xy,
+                self.flag_avail_cell_yz,
+                self.flag_avail_cell_zx,
+            )
+        elif sol_type == "ECT":
+            self.compute_areas(
+                self.l_x,
+                self.l_y,
+                self.l_z,
+                self.Sxy,
+                self.Syz,
+                self.Szx,
+                self.Sxy_red,
+                self.Syz_red,
+                self.Szx_red,
+                self.nx,
+                self.ny,
+                self.nz,
+                self.dx,
+                self.dy,
+                self.dz,
+            )
+            self.mark_cells(
+                self.l_x,
+                self.l_y,
+                self.l_z,
+                self.nx,
+                self.ny,
+                self.nz,
+                self.dx,
+                self.dy,
+                self.dz,
+                self.Sxy,
+                self.Syz,
+                self.Szx,
+                self.flag_int_cell_xy,
+                self.flag_int_cell_yz,
+                self.flag_int_cell_zx,
+                self.Sxy_stab,
+                self.Syz_stab,
+                self.Szx_stab,
+                self.flag_unst_cell_xy,
+                self.flag_unst_cell_yz,
+                self.flag_unst_cell_zx,
+                self.flag_bound_cell_xy,
+                self.flag_bound_cell_yz,
+                self.flag_bound_cell_zx,
+                self.flag_avail_cell_xy,
+                self.flag_avail_cell_yz,
+                self.flag_avail_cell_zx,
+            )
 
             # info about intruded cells (i,j,[(i_borrowing,j_borrowing,area_borrowing, )])
             self.borrowing_xy = np.empty((nx, ny, nz + 1), dtype=object)
@@ -133,20 +218,42 @@ def __init__(self, xmin, xmax, ymin, ymax, zmin, zmax, nx, ny, nz, conductors, s
             self.flag_ext_cell_xy = self.flag_unst_cell_xy.copy()
             self.flag_ext_cell_yz = self.flag_unst_cell_yz.copy()
             self.flag_ext_cell_zx = self.flag_unst_cell_zx.copy()
-            self.mark_cells(self.l_x, self.l_y, self.l_z, self.nx, self.ny, self.nz, self.dx, self.dy, self.dz,
-                            self.Sxy, self.Syz, self.Szx, self.flag_int_cell_xy, self.flag_int_cell_yz, self.flag_int_cell_zx,
-                            self.Sxy_stab, self.Syz_stab, self.Szx_stab, self.flag_unst_cell_xy, self.flag_unst_cell_yz,
-                            self.flag_unst_cell_zx, self.flag_bound_cell_xy, self.flag_bound_cell_yz, self.flag_bound_cell_zx,
-                            self.flag_avail_cell_xy, self.flag_avail_cell_yz, self.flag_avail_cell_zx)
+            self.mark_cells(
+                self.l_x,
+                self.l_y,
+                self.l_z,
+                self.nx,
+                self.ny,
+                self.nz,
+                self.dx,
+                self.dy,
+                self.dz,
+                self.Sxy,
+                self.Syz,
+                self.Szx,
+                self.flag_int_cell_xy,
+                self.flag_int_cell_yz,
+                self.flag_int_cell_zx,
+                self.Sxy_stab,
+                self.Syz_stab,
+                self.Szx_stab,
+                self.flag_unst_cell_xy,
+                self.flag_unst_cell_yz,
+                self.flag_unst_cell_zx,
+                self.flag_bound_cell_xy,
+                self.flag_bound_cell_yz,
+                self.flag_bound_cell_zx,
+                self.flag_avail_cell_xy,
+                self.flag_avail_cell_yz,
+                self.flag_avail_cell_zx,
+            )
             self.compute_extensions()
-        
-        
-        elif sol_type is 'FIT':
 
+        elif sol_type == "FIT":
             # primal Grid G
-            self.x = np.linspace(self.xmin, self.xmax, self.nx+1)
-            self.y = np.linspace(self.ymin, self.ymax, self.ny+1)
-            self.z = np.linspace(self.zmin, self.zmax, self.nz+1)
+            self.x = np.linspace(self.xmin, self.xmax, self.nx + 1)
+            self.y = np.linspace(self.ymin, self.ymax, self.ny + 1)
+            self.z = np.linspace(self.zmin, self.zmax, self.nz + 1)
 
             Y, X, Z = np.meshgrid(self.y, self.x, self.z)
 
@@ -161,12 +268,12 @@ def __init__(self, xmin, xmax, ymin, ymax, zmin, zmax, nx, ny, nz, conductors, s
             self.iA.field_z = np.divide(1.0, self.L.field_x * self.L.field_y)
 
             # tilde grid ~G
-            #self.itA = self.iA
-            #self.tL = self.L
+            # self.itA = self.iA
+            # self.tL = self.L
 
-            self.tx = (self.x[1:]+self.x[:-1])/2 
-            self.ty = (self.y[1:]+self.y[:-1])/2
-            self.tz = (self.z[1:]+self.z[:-1])/2
+            self.tx = (self.x[1:] + self.x[:-1]) / 2
+            self.ty = (self.y[1:] + self.y[:-1]) / 2
+            self.tz = (self.z[1:] + self.z[:-1]) / 2
 
             self.tx = np.append(self.tx, self.tx[-1])
             self.ty = np.append(self.ty, self.ty[-1])
@@ -181,22 +288,66 @@ def __init__(self, xmin, xmax, ymin, ymax, zmin, zmax, nx, ny, nz, conductors, s
 
             self.itA = Field(self.nx, self.ny, self.nz)
             aux = self.tL.field_y * self.tL.field_z
-            self.itA.field_x = np.divide(1.0, aux, out=np.zeros_like(aux), where=aux!=0)
+            self.itA.field_x = np.divide(
+                1.0, aux, out=np.zeros_like(aux), where=aux != 0
+            )
             aux = self.tL.field_x * self.tL.field_z
-            self.itA.field_y = np.divide(1.0, aux, out=np.zeros_like(aux), where=aux!=0)
+            self.itA.field_y = np.divide(
+                1.0, aux, out=np.zeros_like(aux), where=aux != 0
+            )
             aux = self.tL.field_x * self.tL.field_y
-            self.itA.field_z = np.divide(1.0, aux, out=np.zeros_like(aux), where=aux!=0)
+            self.itA.field_z = np.divide(
+                1.0, aux, out=np.zeros_like(aux), where=aux != 0
+            )
             del aux
-            
-            self.compute_areas(self.l_x, self.l_y, self.l_z, self.Sxy, self.Syz, self.Szx,
-                               self.Sxy_red, self.Syz_red, self.Szx_red,
-                               self.nx, self.ny, self.nz, self.dx, self.dy, self.dz)
-            self.mark_cells(self.l_x, self.l_y, self.l_z, self.nx, self.ny, self.nz, self.dx, self.dy, self.dz,
-                            self.Sxy, self.Syz, self.Szx, self.flag_int_cell_xy, self.flag_int_cell_yz, self.flag_int_cell_zx,
-                            self.Sxy_stab, self.Syz_stab, self.Szx_stab, self.flag_unst_cell_xy, self.flag_unst_cell_yz,
-                            self.flag_unst_cell_zx, self.flag_bound_cell_xy, self.flag_bound_cell_yz, self.flag_bound_cell_zx,
-                            self.flag_avail_cell_xy, self.flag_avail_cell_yz, self.flag_avail_cell_zx)
-            
+
+            self.compute_areas(
+                self.l_x,
+                self.l_y,
+                self.l_z,
+                self.Sxy,
+                self.Syz,
+                self.Szx,
+                self.Sxy_red,
+                self.Syz_red,
+                self.Szx_red,
+                self.nx,
+                self.ny,
+                self.nz,
+                self.dx,
+                self.dy,
+                self.dz,
+            )
+            self.mark_cells(
+                self.l_x,
+                self.l_y,
+                self.l_z,
+                self.nx,
+                self.ny,
+                self.nz,
+                self.dx,
+                self.dy,
+                self.dz,
+                self.Sxy,
+                self.Syz,
+                self.Szx,
+                self.flag_int_cell_xy,
+                self.flag_int_cell_yz,
+                self.flag_int_cell_zx,
+                self.Sxy_stab,
+                self.Syz_stab,
+                self.Szx_stab,
+                self.flag_unst_cell_xy,
+                self.flag_unst_cell_yz,
+                self.flag_unst_cell_zx,
+                self.flag_bound_cell_xy,
+                self.flag_bound_cell_yz,
+                self.flag_bound_cell_zx,
+                self.flag_avail_cell_xy,
+                self.flag_avail_cell_yz,
+                self.flag_avail_cell_zx,
+            )
+
     """
   Function to compute the length of the edges of the conformal grid.
     Inputs:
@@ -221,17 +372,26 @@ def compute_edges(self, tol=1e-8):
                         # if point 2 is not in conductor, length of l_x[i, j]
                         # is the fractional length
                         else:
-                            self.l_x[ii, jj, kk] = seg_length(self.conductors.intersec_x(x_2,
-                                                                                         y_2, z),
-                                                              y_2, z, x_2, y_2, z)
+                            self.l_x[ii, jj, kk] = seg_length(
+                                self.conductors.intersec_x(x_2, y_2, z),
+                                y_2,
+                                z,
+                                x_2,
+                                y_2,
+                                z,
+                            )
                     # if point 1 is not in conductor
                     else:
                         # if point 2 is in conductor, length of l_x[i, j] is the fractional length
                         if self.conductors.in_conductor(x_2, y_2, z):
-                            self.l_x[ii, jj, kk] = seg_length(x_1, y_1, z,
-                                                              self.conductors.intersec_x(x_1, y_1,
-                                                                                         z),
-                                                              y_1, z)
+                            self.l_x[ii, jj, kk] = seg_length(
+                                x_1,
+                                y_1,
+                                z,
+                                self.conductors.intersec_x(x_1, y_1, z),
+                                y_1,
+                                z,
+                            )
                         # if point 2 is not in conductor, length of l_x[i, j] is dx
                         else:
                             self.l_x[ii, jj, kk] = self.dx
@@ -252,19 +412,27 @@ def compute_edges(self, tol=1e-8):
                         # if point 3 is not in conductor, length of l_y[i, j]
                         # is the fractional length
                         else:
-                            self.l_y[ii, jj, kk] = seg_length(x_3,
-                                                              self.conductors.intersec_y(x_3, y_3,
-                                                                                         z),
-                                                              z, x_3, y_3, z)
+                            self.l_y[ii, jj, kk] = seg_length(
+                                x_3,
+                                self.conductors.intersec_y(x_3, y_3, z),
+                                z,
+                                x_3,
+                                y_3,
+                                z,
+                            )
                     # if point 1 is not in conductor
                     else:
                         # if point 3 is in conductor, length of the l_y[i, j]
                         # is the fractional length
                         if self.conductors.in_conductor(x_3, y_3, z):
-                            self.l_y[ii, jj, kk] = seg_length(x_1, y_1, z, x_1,
-                                                              self.conductors.intersec_y(x_1, y_1,
-                                                                                         z),
-                                                              z)
+                            self.l_y[ii, jj, kk] = seg_length(
+                                x_1,
+                                y_1,
+                                z,
+                                x_1,
+                                self.conductors.intersec_y(x_1, y_1, z),
+                                z,
+                            )
                         # if point 3 is not in conductor, length of l_y[i, j] is dy
                         else:
                             self.l_y[ii, jj, kk] = self.dy
@@ -272,7 +440,7 @@ def compute_edges(self, tol=1e-8):
         for jj in range(self.ny + 1):
             for ii in range(self.nx + 1):
                 for kk in range(self.nz):
-                    y = jj*self.dy + self.ymin
+                    y = jj * self.dy + self.ymin
                     x_1 = ii * self.dx + self.xmin
                     z_1 = kk * self.dz + self.zmin
                     x_3 = ii * self.dx + self.xmin
@@ -285,131 +453,248 @@ def compute_edges(self, tol=1e-8):
                         # if point 3 is not in conductor, length of l_y[i, j]
                         # is the fractional length
                         else:
-                            self.l_z[ii, jj, kk] = seg_length(x_3, y,
-                                                              self.conductors.intersec_z(x_3,
-                                                                                         y, z_3),
-                                                              x_3, y, z_3)
+                            self.l_z[ii, jj, kk] = seg_length(
+                                x_3,
+                                y,
+                                self.conductors.intersec_z(x_3, y, z_3),
+                                x_3,
+                                y,
+                                z_3,
+                            )
                     # if point 1 is not in conductor
                     else:
                         # if point 3 is in conductor, length of the l_y[i, j]
                         # is the fractional length
                         if self.conductors.in_conductor(x_3, y, z_3):
-                            self.l_z[ii, jj, kk] = seg_length(x_1, y, z_1, x_1, y,
-                                                              self.conductors.intersec_z(x_1, y,
-                                                                                         z_1))
+                            self.l_z[ii, jj, kk] = seg_length(
+                                x_1,
+                                y,
+                                z_1,
+                                x_1,
+                                y,
+                                self.conductors.intersec_z(x_1, y, z_1),
+                            )
                         # if point 3 is not in conductor, length of l_y[i, j] is dy
                         else:
                             self.l_z[ii, jj, kk] = self.dz
 
         # set to zero the length of very small cells
-        if tol > 0.:
+        if tol > 0.0:
             self.l_x /= self.dx
             self.l_y /= self.dy
             self.l_z /= self.dz
 
             low_values_flags = abs(self.l_x) < tol
-            high_values_flags = abs(self.l_x - 1.) < tol
+            high_values_flags = abs(self.l_x - 1.0) < tol
             self.l_x[low_values_flags] = 0
-            self.l_x[high_values_flags] = 1.
+            self.l_x[high_values_flags] = 1.0
 
             low_values_flags = abs(self.l_y) < tol
-            high_values_flags = abs(self.l_y - 1.) < tol
+            high_values_flags = abs(self.l_y - 1.0) < tol
             self.l_y[low_values_flags] = 0
-            self.l_y[high_values_flags] = 1.
+            self.l_y[high_values_flags] = 1.0
 
             low_values_flags = abs(self.l_z) < tol
-            high_values_flags = abs(self.l_z - 1.) < tol
+            high_values_flags = abs(self.l_z - 1.0) < tol
             self.l_z[low_values_flags] = 0
-            self.l_z[high_values_flags] = 1.
+            self.l_z[high_values_flags] = 1.0
 
             self.l_x *= self.dx
             self.l_y *= self.dy
             self.l_z *= self.dz
 
-
     """
   Function to compute the area of the cells of the conformal grid.
     """
-    @staticmethod
-    @jit('(f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], i4, i4, i4, f8, f8, f8)', nopython=True)
-    def compute_areas(l_x, l_y, l_z, Sxy, Syz, Szx, Sxy_red, Syz_red, Szx_red, nx, ny, nz, dx, dy, dz):
 
+    @staticmethod
+    @jit(
+        "(f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], i4, i4, i4, f8, f8, f8)",
+        nopython=True,
+    )
+    def compute_areas(
+        l_x, l_y, l_z, Sxy, Syz, Szx, Sxy_red, Syz_red, Szx_red, nx, ny, nz, dx, dy, dz
+    ):
         for kk in range(nz + 1):
-            compute_areas_2D(l_x[:, :, kk], l_y[:, :, kk], Sxy[:, :, kk], Sxy_red[:, :, kk],
-                                 nx, ny, dx, dy)
+            compute_areas_2D(
+                l_x[:, :, kk],
+                l_y[:, :, kk],
+                Sxy[:, :, kk],
+                Sxy_red[:, :, kk],
+                nx,
+                ny,
+                dx,
+                dy,
+            )
 
         for ii in range(nx + 1):
-            compute_areas_2D(l_y[ii, :, :], l_z[ii, :, :], Syz[ii, :, :], Syz_red[ii, :, :],
-                                 ny, nz, dy, dz)
+            compute_areas_2D(
+                l_y[ii, :, :],
+                l_z[ii, :, :],
+                Syz[ii, :, :],
+                Syz_red[ii, :, :],
+                ny,
+                nz,
+                dy,
+                dz,
+            )
 
         for jj in range(ny + 1):
-            compute_areas_2D(l_x[:, jj, :], l_z[:, jj, :], Szx[:, jj, :], Szx_red[:, jj, :],
-                                 nx, nz, dx, dz)
+            compute_areas_2D(
+                l_x[:, jj, :],
+                l_z[:, jj, :],
+                Szx[:, jj, :],
+                Szx_red[:, jj, :],
+                nx,
+                nz,
+                dx,
+                dz,
+            )
 
     """
   Function to mark wich cells are interior (int), require extension (unst), 
   are on the boundary(bound), are available for intrusion (avail)
     """
-    @staticmethod
-    @jit('(f8[:,:,:], f8[:,:,:], f8[:,:,:], i4, i4, i4, f8, f8, f8, f8[:,:,:], f8[:,:,:], f8[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:])', nopython=True)
-    def mark_cells(l_x, l_y, l_z, nx, ny, nz, dx, dy, dz, Sxy, Syz, Szx, flag_int_cell_xy, flag_int_cell_yz, flag_int_cell_zx,
-                   Sxy_stab, Syz_stab, Szx_stab, flag_unst_cell_xy, flag_unst_cell_yz, flag_unst_cell_zx, flag_bound_cell_xy,
-                   flag_bound_cell_yz, flag_bound_cell_zx, flag_avail_cell_xy, flag_avail_cell_yz, flag_avail_cell_zx):
 
+    @staticmethod
+    @jit(
+        "(f8[:,:,:], f8[:,:,:], f8[:,:,:], i4, i4, i4, f8, f8, f8, f8[:,:,:], f8[:,:,:], f8[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], f8[:,:,:], f8[:,:,:], f8[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:], b1[:,:,:])",
+        nopython=True,
+    )
+    def mark_cells(
+        l_x,
+        l_y,
+        l_z,
+        nx,
+        ny,
+        nz,
+        dx,
+        dy,
+        dz,
+        Sxy,
+        Syz,
+        Szx,
+        flag_int_cell_xy,
+        flag_int_cell_yz,
+        flag_int_cell_zx,
+        Sxy_stab,
+        Syz_stab,
+        Szx_stab,
+        flag_unst_cell_xy,
+        flag_unst_cell_yz,
+        flag_unst_cell_zx,
+        flag_bound_cell_xy,
+        flag_bound_cell_yz,
+        flag_bound_cell_zx,
+        flag_avail_cell_xy,
+        flag_avail_cell_yz,
+        flag_avail_cell_zx,
+    ):
         for kk in range(nz + 1):
-            mark_cells_2D(l_x[:, :, kk], l_y[:, :, kk], nx, ny, dx, dy, Sxy[:, :, kk],
-                          flag_int_cell_xy[:, :, kk], Sxy_stab[:, :, kk], flag_unst_cell_xy[:, :, kk],
-                          flag_bound_cell_xy[:, :, kk], flag_avail_cell_xy[:, :, kk])
+            mark_cells_2D(
+                l_x[:, :, kk],
+                l_y[:, :, kk],
+                nx,
+                ny,
+                dx,
+                dy,
+                Sxy[:, :, kk],
+                flag_int_cell_xy[:, :, kk],
+                Sxy_stab[:, :, kk],
+                flag_unst_cell_xy[:, :, kk],
+                flag_bound_cell_xy[:, :, kk],
+                flag_avail_cell_xy[:, :, kk],
+            )
 
         for ii in range(nx + 1):
-            mark_cells_2D(l_y[ii, :, :], l_z[ii, :, :], ny, nz, dy, dz, Syz[ii, :, :],
-                          flag_int_cell_yz[ii, :, :], Syz_stab[ii, :, :], flag_unst_cell_yz[ii, :, :],
-                          flag_bound_cell_yz[ii, :, :], flag_avail_cell_yz[ii, :, :])
+            mark_cells_2D(
+                l_y[ii, :, :],
+                l_z[ii, :, :],
+                ny,
+                nz,
+                dy,
+                dz,
+                Syz[ii, :, :],
+                flag_int_cell_yz[ii, :, :],
+                Syz_stab[ii, :, :],
+                flag_unst_cell_yz[ii, :, :],
+                flag_bound_cell_yz[ii, :, :],
+                flag_avail_cell_yz[ii, :, :],
+            )
 
         for jj in range(ny + 1):
-            mark_cells_2D(l_x[:, jj, :], l_z[:, jj, :], nx, nz, dx, dz, Szx[:, jj, :],
-                          flag_int_cell_zx[:, jj, :], Szx_stab[:, jj, :], flag_unst_cell_zx[:, jj, :],
-                          flag_bound_cell_zx[:, jj, :], flag_avail_cell_zx[:, jj, :])
+            mark_cells_2D(
+                l_x[:, jj, :],
+                l_z[:, jj, :],
+                nx,
+                nz,
+                dx,
+                dz,
+                Szx[:, jj, :],
+                flag_int_cell_zx[:, jj, :],
+                Szx_stab[:, jj, :],
+                flag_unst_cell_zx[:, jj, :],
+                flag_bound_cell_zx[:, jj, :],
+                flag_avail_cell_zx[:, jj, :],
+            )
 
     """
   Function to compute the extension of the unstable cells
     """
 
     def compute_extensions(self):
-        #breakpoint()
+        # breakpoint()
         for kk in range(self.nz + 1):
-            #breakpoint()
-            Grid2D.compute_extensions(nx=self.nx, ny=self.ny, S=self.Sxy[:, :, kk],
-                                      flag_int_cell=self.flag_int_cell_xy[:, :, kk],
-                                      S_stab=self.Sxy_stab[:, :, kk], S_enl=self.Sxy_enl[:, :, kk],
-                                      S_red=self.Sxy_red[:, :, kk],
-                                      flag_unst_cell=self.flag_unst_cell_xy[:, :, kk],
-                                      flag_avail_cell=self.flag_avail_cell_xy[:, :, kk],
-                                      flag_ext_cell=self.flag_ext_cell_xy[:, :, kk],
-                                      flag_intr_cell=self.flag_intr_cell_xy[:,:,kk],
-                                      borrowing=self.borrowing_xy[:, :, kk],
-                                      kk=kk, l_verbose=False)
+            # breakpoint()
+            Grid2D.compute_extensions(
+                nx=self.nx,
+                ny=self.ny,
+                S=self.Sxy[:, :, kk],
+                flag_int_cell=self.flag_int_cell_xy[:, :, kk],
+                S_stab=self.Sxy_stab[:, :, kk],
+                S_enl=self.Sxy_enl[:, :, kk],
+                S_red=self.Sxy_red[:, :, kk],
+                flag_unst_cell=self.flag_unst_cell_xy[:, :, kk],
+                flag_avail_cell=self.flag_avail_cell_xy[:, :, kk],
+                flag_ext_cell=self.flag_ext_cell_xy[:, :, kk],
+                flag_intr_cell=self.flag_intr_cell_xy[:, :, kk],
+                borrowing=self.borrowing_xy[:, :, kk],
+                kk=kk,
+                l_verbose=False,
+            )
 
         for ii in range(self.nx + 1):
-            Grid2D.compute_extensions(nx=self.ny, ny=self.nz, S=self.Syz[ii, :, :],
-                                      flag_int_cell=self.flag_int_cell_yz[ii, :, :],
-                                      S_stab=self.Syz_stab[ii, :, :], S_enl=self.Syz_enl[ii, :, :],
-                                      S_red=self.Syz_red[ii, :, :],
-                                      flag_unst_cell=self.flag_unst_cell_yz[ii, :, :],
-                                      flag_avail_cell=self.flag_avail_cell_yz[ii, :, :],
-                                      flag_ext_cell=self.flag_ext_cell_yz[ii, :, :],
-                                      borrowing=self.borrowing_yz[ii, :, :],
-                                      flag_intr_cell=self.flag_intr_cell_yz[ii,:,:],
-                                      kk = ii, l_verbose=False)
-            
+            Grid2D.compute_extensions(
+                nx=self.ny,
+                ny=self.nz,
+                S=self.Syz[ii, :, :],
+                flag_int_cell=self.flag_int_cell_yz[ii, :, :],
+                S_stab=self.Syz_stab[ii, :, :],
+                S_enl=self.Syz_enl[ii, :, :],
+                S_red=self.Syz_red[ii, :, :],
+                flag_unst_cell=self.flag_unst_cell_yz[ii, :, :],
+                flag_avail_cell=self.flag_avail_cell_yz[ii, :, :],
+                flag_ext_cell=self.flag_ext_cell_yz[ii, :, :],
+                borrowing=self.borrowing_yz[ii, :, :],
+                flag_intr_cell=self.flag_intr_cell_yz[ii, :, :],
+                kk=ii,
+                l_verbose=False,
+            )
+
         for jj in range(self.ny + 1):
-            Grid2D.compute_extensions(nx=self.nx, ny=self.nz, S=self.Szx[:, jj, :],
-                                      flag_int_cell=self.flag_int_cell_zx[:, jj, :],
-                                      S_stab=self.Szx_stab[:, jj, :], S_enl=self.Szx_enl[:, jj, :],
-                                      S_red=self.Szx_red[:, jj, :],
-                                      flag_unst_cell=self.flag_unst_cell_zx[:, jj, :],
-                                      flag_avail_cell=self.flag_avail_cell_zx[:, jj, :],
-                                      flag_ext_cell=self.flag_ext_cell_zx[:, jj, :],
-                                      flag_intr_cell=self.flag_intr_cell_zx[:,jj,:],
-                                      borrowing=self.borrowing_zx[:, jj, :],
-                                      kk = jj, l_verbose=False)
+            Grid2D.compute_extensions(
+                nx=self.nx,
+                ny=self.nz,
+                S=self.Szx[:, jj, :],
+                flag_int_cell=self.flag_int_cell_zx[:, jj, :],
+                S_stab=self.Szx_stab[:, jj, :],
+                S_enl=self.Szx_enl[:, jj, :],
+                S_red=self.Szx_red[:, jj, :],
+                flag_unst_cell=self.flag_unst_cell_zx[:, jj, :],
+                flag_avail_cell=self.flag_avail_cell_zx[:, jj, :],
+                flag_ext_cell=self.flag_ext_cell_zx[:, jj, :],
+                flag_intr_cell=self.flag_intr_cell_zx[:, jj, :],
+                borrowing=self.borrowing_zx[:, jj, :],
+                kk=jj,
+                l_verbose=False,
+            )
diff --git a/wakis/gridFIT3D.py b/wakis/gridFIT3D.py
index f61e796..7f1dc5a 100644
--- a/wakis/gridFIT3D.py
+++ b/wakis/gridFIT3D.py
@@ -17,10 +17,12 @@
 
 try:
     from mpi4py import MPI
+
     imported_mpi = True
 except ImportError:
     imported_mpi = False
 
+
 class GridFIT3D:
     """
     Class holding the grid information and
@@ -71,19 +73,37 @@ class GridFIT3D:
         Use `verbose=2` for more detailed output.
     """
 
-    def __init__(self, xmin=None, xmax=None,
-                ymin=None, ymax=None,
-                zmin=None, zmax=None,
-                Nx=None, Ny=None, Nz=None,
-                x=None, y=None, z=None,
-                use_mpi=False,
-                use_mesh_refinement=False, refinement_method='insert', refinement_tol=1e-8,
-                snap_points=None, snap_tol=1e-5, snap_solids=None,
-                stl_solids=None, stl_materials=None,
-                stl_rotate=[0., 0., 0.], stl_translate=[0., 0., 0.], stl_scale=1.0,
-                stl_colors=None, stl_tol=1e-3,
-                load_from_h5=None, verbose=1,):
-
+    def __init__(
+        self,
+        xmin=None,
+        xmax=None,
+        ymin=None,
+        ymax=None,
+        zmin=None,
+        zmax=None,
+        Nx=None,
+        Ny=None,
+        Nz=None,
+        x=None,
+        y=None,
+        z=None,
+        use_mpi=False,
+        use_mesh_refinement=False,
+        refinement_method="insert",
+        refinement_tol=1e-8,
+        snap_points=None,
+        snap_tol=1e-5,
+        snap_solids=None,
+        stl_solids=None,
+        stl_materials=None,
+        stl_rotate=[0.0, 0.0, 0.0],
+        stl_translate=[0.0, 0.0, 0.0],
+        stl_scale=1.0,
+        stl_colors=None,
+        stl_tol=1e-3,
+        load_from_h5=None,
+        verbose=1,
+    ):
         t0 = time.time()
         self.logger = Logger()
         self.verbose = verbose
@@ -93,7 +113,7 @@ def __init__(self, xmin=None, xmax=None,
         # generate from file
         if load_from_h5 is not None:
             self.load_from_h5(load_from_h5)
-            return #TODO: support MPI decomposition
+            return  # TODO: support MPI decomposition
 
         # generate from custom x,y,z arrays
         elif x is not None and y is not None and z is not None:
@@ -108,7 +128,9 @@ def __init__(self, xmin=None, xmax=None,
             self.ymin, self.ymax = self.y[0], self.y[-1]
             self.zmin, self.zmax = self.z[0], self.z[-1]
             if self.use_mpi:
-                raise ValueError("[!] Error: use_mpi=True is not compatible with custom x,y,z arrays.")
+                raise ValueError(
+                    "[!] Error: use_mpi=True is not compatible with custom x,y,z arrays."
+                )
 
         # generate from domain extents and number of cells [LEGACY]
         elif all(v is not None for v in [xmin, xmax, ymin, ymax, zmin, zmax]):
@@ -117,9 +139,9 @@ def __init__(self, xmin=None, xmax=None,
             self.ymin, self.ymax = ymin, ymax
             self.zmin, self.zmax = zmin, zmax
             self.Nx, self.Ny, self.Nz = Nx, Ny, Nz
-            self.x = np.linspace(self.xmin, self.xmax, self.Nx+1)
-            self.y = np.linspace(self.ymin, self.ymax, self.Ny+1)
-            self.z = np.linspace(self.zmin, self.zmax, self.Nz+1)
+            self.x = np.linspace(self.xmin, self.xmax, self.Nx + 1)
+            self.y = np.linspace(self.ymin, self.ymax, self.Ny + 1)
+            self.z = np.linspace(self.zmin, self.zmax, self.Nz + 1)
 
         else:
             raise ValueError(
@@ -143,13 +165,13 @@ def __init__(self, xmin=None, xmax=None,
         self.stl_translate = stl_translate
         self.stl_scale = stl_scale
         self.stl_colors = stl_colors
-        self.update_logger(['stl_solids', 'stl_materials'])
-        if stl_rotate != [0., 0., 0.]:
-            self.update_logger(['stl_rotate'])
-        if stl_translate != [0., 0., 0.]:
-            self.update_logger(['stl_translate'])
+        self.update_logger(["stl_solids", "stl_materials"])
+        if stl_rotate != [0.0, 0.0, 0.0]:
+            self.update_logger(["stl_rotate"])
+        if stl_translate != [0.0, 0.0, 0.0]:
+            self.update_logger(["stl_translate"])
         if stl_scale != 1.0:
-            self.update_logger(['stl_scale'])
+            self.update_logger(["stl_scale"])
 
         if stl_solids is not None:
             self._prepare_stl_dicts()
@@ -159,23 +181,25 @@ def __init__(self, xmin=None, xmax=None,
         self.refinement_method = refinement_method
         self.snap_points = snap_points
         self.snap_tol = snap_tol
-        self.snap_solids = snap_solids # if None, use all stl_solids
-        self.update_logger(['use_mesh_refinement'])
+        self.snap_solids = snap_solids  # if None, use all stl_solids
+        self.update_logger(["use_mesh_refinement"])
 
         if self.use_mesh_refinement:
             if verbose:
-                print('Applying mesh refinement...')
+                print("Applying mesh refinement...")
             if self.snap_points is None and stl_solids is not None:
                 self._compute_snap_points(snap_solids=snap_solids, snap_tol=snap_tol)
             self._refine_xyz_axis(method=refinement_method, tol=refinement_tol)
 
         if verbose:
-            print(f'Generating grid with {self.Nx*self.Ny*self.Nz} mesh cells...')
+            print(f"Generating grid with {self.Nx * self.Ny * self.Nz} mesh cells...")
             if verbose > 1:
-                print(f' * Simulation domain bounds: \n\
+                print(
+                    f" * Simulation domain bounds: \n\
                     x:[{xmin:.3f}, {xmax:.3f}],\n\
                     y:[{ymin:.3f}, {ymax:.3f}],\n\
-                    z:[{zmin:.3f}, {zmax:.3f}]')
+                    z:[{zmin:.3f}, {zmax:.3f}]"
+                )
 
         # MPI subdivide domain
         if self.use_mpi:
@@ -188,26 +212,28 @@ def __init__(self, xmin=None, xmax=None,
                 if self.verbose:
                     print(f"MPI initialized for {self.rank} of {self.size}")
             else:
-                raise ImportError("[!] mpi4py is required when use_mpi=True but was not found")
+                raise ImportError(
+                    "[!] mpi4py is required when use_mpi=True but was not found"
+                )
 
         # grid G and tilde grid ~G, lengths and inverse areas
         self._compute_grid()
 
         # tolerance for stl import tol*min(dx,dy,dz)
         if verbose:
-            print('Importing STL solids...')
+            print("Importing STL solids...")
         self.stl_tol = stl_tol
         if stl_solids is not None:
             self._mark_cells_in_stl()
 
         if verbose:
-            print(f'Total grid initialization time: {time.time() - t0} s')
+            print(f"Total grid initialization time: {time.time() - t0} s")
 
-        self.gridInitializationTime = time.time()-t0
-        self.update_logger(['gridInitializationTime'])
+        self.gridInitializationTime = time.time() - t0
+        self.update_logger(["gridInitializationTime"])
 
     def _compute_grid(self):
-        X, Y, Z = np.meshgrid(self.x, self.y, self.z, indexing='ij')
+        X, Y, Z = np.meshgrid(self.x, self.y, self.z, indexing="ij")
         self.grid = pv.StructuredGrid(X.transpose(), Y.transpose(), Z.transpose())
 
         self.L = Field(self.Nx, self.Ny, self.Nz)
@@ -221,15 +247,15 @@ def _compute_grid(self):
         self.iA.field_z = np.divide(1.0, self.L.field_x * self.L.field_y)
 
         # tilde grid ~G
-        self.tx = (self.x[1:]+self.x[:-1])/2
-        self.ty = (self.y[1:]+self.y[:-1])/2
-        self.tz = (self.z[1:]+self.z[:-1])/2
+        self.tx = (self.x[1:] + self.x[:-1]) / 2
+        self.ty = (self.y[1:] + self.y[:-1]) / 2
+        self.tz = (self.z[1:] + self.z[:-1]) / 2
 
         self.tx = np.append(self.tx, self.tx[-1])
         self.ty = np.append(self.ty, self.ty[-1])
         self.tz = np.append(self.tz, self.tz[-1])
 
-        tX, tY, tZ = np.meshgrid(self.tx, self.ty, self.tz, indexing='ij')
+        tX, tY, tZ = np.meshgrid(self.tx, self.ty, self.tz, indexing="ij")
 
         self.tL = Field(self.Nx, self.Ny, self.Nz)
         self.tL.field_x = tX[1:, 1:, 1:] - tX[:-1, :-1, :-1]
@@ -238,11 +264,11 @@ def _compute_grid(self):
 
         self.itA = Field(self.Nx, self.Ny, self.Nz)
         aux = self.tL.field_y * self.tL.field_z
-        self.itA.field_x = np.divide(1.0, aux, out=np.zeros_like(aux), where=aux!=0)
+        self.itA.field_x = np.divide(1.0, aux, out=np.zeros_like(aux), where=aux != 0)
         aux = self.tL.field_x * self.tL.field_z
-        self.itA.field_y = np.divide(1.0, aux, out=np.zeros_like(aux), where=aux!=0)
+        self.itA.field_y = np.divide(1.0, aux, out=np.zeros_like(aux), where=aux != 0)
         aux = self.tL.field_x * self.tL.field_y
-        self.itA.field_z = np.divide(1.0, aux, out=np.zeros_like(aux), where=aux!=0)
+        self.itA.field_z = np.divide(1.0, aux, out=np.zeros_like(aux), where=aux != 0)
         del aux
 
     def _mpi_initialize(self):
@@ -253,32 +279,36 @@ def _mpi_initialize(self):
 
         # Error handling for Nz < size
         if self.Nz < self.size:
-            raise ValueError(f"Nz ({self.Nz}) must be greater than or equal to the number of MPI processes ({self.size}).")
+            raise ValueError(
+                f"Nz ({self.Nz}) must be greater than or equal to the number of MPI processes ({self.size})."
+            )
 
         # global z quantities [ALLCAPS]
         self.ZMIN = self.zmin
         self.ZMAX = self.zmax
-        self.NZ = self.Nz - self.Nz%(self.size) # ensure multiple of MPI size
-        self.Z = np.linspace(self.ZMIN, self.ZMAX, self.NZ+1)[:-1] + self.dz/2
+        self.NZ = self.Nz - self.Nz % (self.size)  # ensure multiple of MPI size
+        self.Z = np.linspace(self.ZMIN, self.ZMAX, self.NZ + 1)[:-1] + self.dz / 2
 
-        if self.verbose and self.rank==0:
+        if self.verbose and self.rank == 0:
             print(f" * Global grid ZMIN={self.ZMIN}, ZMAX={self.ZMAX}, NZ={self.NZ}")
 
         # MPI subdomain quantities
         self.Nz = self.NZ // (self.size)
         self.dz = (self.ZMAX - self.ZMIN) / self.NZ
         self.zmin = self.rank * self.Nz * self.dz + self.ZMIN
-        self.zmax = (self.rank+1) * self.Nz * self.dz + self.ZMIN
+        self.zmax = (self.rank + 1) * self.Nz * self.dz + self.ZMIN
 
         if self.verbose:
-            print(f"MPI rank {self.rank} of {self.size} initialized with \
-                        zmin={self.zmin}, zmax={self.zmax}, Nz={self.Nz}")
+            print(
+                f"MPI rank {self.rank} of {self.size} initialized with \
+                        zmin={self.zmin}, zmax={self.zmax}, Nz={self.Nz}"
+            )
         # Add ghost cells
         self.n_ghosts = 1
         if self.rank > 0:
-            self.zmin += - self.n_ghosts * self.dz
+            self.zmin += -self.n_ghosts * self.dz
             self.Nz += self.n_ghosts
-        if self.rank < (self.size-1):
+        if self.rank < (self.size - 1):
             self.zmax += self.n_ghosts * self.dz
             self.Nz += self.n_ghosts
 
@@ -294,28 +324,36 @@ def mpi_gather_asGrid(self):
         _grid = None
         if self.rank == 0:
             print(f"Generating global grid from {self.ZMIN} to {self.ZMAX}")
-            _grid = GridFIT3D(self.xmin, self.xmax,
-                            self.ymin, self.ymax,
-                            self.ZMIN, self.ZMAX,
-                            self.Nx, self.Ny, self.NZ,
-                            use_mpi=False,
-                            stl_solids=self.stl_solids,
-                            stl_materials=self.stl_materials,
-                            stl_scale=self.stl_scale,
-                            stl_rotate=self.stl_rotate,
-                            stl_translate=self.stl_translate,
-                            stl_colors=self.stl_colors,
-                            verbose=self.verbose,
-                            stl_tol=self.stl_tol,
-                            )
+            _grid = GridFIT3D(
+                self.xmin,
+                self.xmax,
+                self.ymin,
+                self.ymax,
+                self.ZMIN,
+                self.ZMAX,
+                self.Nx,
+                self.Ny,
+                self.NZ,
+                use_mpi=False,
+                stl_solids=self.stl_solids,
+                stl_materials=self.stl_materials,
+                stl_scale=self.stl_scale,
+                stl_rotate=self.stl_rotate,
+                stl_translate=self.stl_translate,
+                stl_colors=self.stl_colors,
+                verbose=self.verbose,
+                stl_tol=self.stl_tol,
+            )
         return _grid
 
     def _prepare_stl_dicts(self):
         if type(self.stl_solids) is not dict:
             if type(self.stl_solids) is str:
-                self.stl_solids = {'Solid 1' : self.stl_solids}
+                self.stl_solids = {"Solid 1": self.stl_solids}
             else:
-                raise Exception('Attribute `stl_solids` must contain a string or a dictionary')
+                raise Exception(
+                    "Attribute `stl_solids` must contain a string or a dictionary"
+                )
 
         if type(self.stl_rotate) is not dict:
             # if not a dict, the same values will be applied to all solids
@@ -341,7 +379,7 @@ def _prepare_stl_dicts(self):
         if type(self.stl_colors) is not dict:
             if self.stl_colors is None:
                 self._assign_colors()
-            elif self.stl_colors is str: # single color for all solids
+            elif self.stl_colors is str:  # single color for all solids
                 stl_colors = {}
                 for key in self.stl_solids.keys():
                     stl_colors[key] = self.stl_colors
@@ -354,35 +392,49 @@ def _prepare_stl_dicts(self):
                     self.stl_colors = stl_colors
                 except IndexError:
                     self._assign_colors()
-                    print('[!] If `stl_colors` is a list, it must have the same length as `stl_solids`.')
+                    print(
+                        "[!] If `stl_colors` is a list, it must have the same length as `stl_solids`."
+                    )
 
     def _mark_cells_in_stl(self):
         # Obtain masks with grid cells inside each stl solid
         stl_tolerance = np.min([np.min(self.dx), np.min(self.dy), np.min(self.dz)])*self.stl_tol
         progress_bar = False
-        if self.Nx*self.Ny*self.Nz > 5e6 and self.verbose:
+        if self.Nx * self.Ny * self.Nz > 5e6 and self.verbose:
             progress_bar = True
         for key in self.stl_solids.keys():
-
             surf = self.read_stl(key)
 
             # mark cells in stl [True == in stl, False == out stl]
             try:
-                select = self.grid.select_enclosed_points(surf, tolerance=stl_tolerance,
-                                                          progress_bar=progress_bar)
+                select = self.grid.select_enclosed_points(
+                    surf, tolerance=stl_tolerance, progress_bar=progress_bar
+                )
             except Exception:
-                select = self.grid.select_enclosed_points(surf, tolerance=stl_tolerance,
-                                                          check_surface=False, progress_bar=progress_bar)
+                select = self.grid.select_enclosed_points(
+                    surf,
+                    tolerance=stl_tolerance,
+                    check_surface=False,
+                    progress_bar=progress_bar,
+                )
                 if self.verbose > 1:
-                    print(f'[!] Warning: stl solid {key} may have issues with closed surfaces. Consider checking the STL file.')
+                    print(
+                        f"[!] Warning: stl solid {key} may have issues with closed surfaces. Consider checking the STL file."
+                    )
 
-            self.grid[key] = select.point_data_to_cell_data()['SelectedPoints'] > stl_tolerance
+            self.grid[key] = (
+                select.point_data_to_cell_data()["SelectedPoints"] > stl_tolerance
+            )
 
             if self.verbose and np.sum(self.grid[key]) == 0:
-                print(f'[!] Warning: no cells were marked inside stl solid {key}. Consider increasing the tolerance factor (currently {self.stl_tol}).')
+                print(
+                    f"[!] Warning: no cells were marked inside stl solid {key}. Consider increasing the tolerance factor (currently {self.stl_tol})."
+                )
 
             if self.verbose > 1:
-                print(f' * STL solid {key}: {np.sum(self.grid[key])} cells marked inside the solid.')
+                print(
+                    f" * STL solid {key}: {np.sum(self.grid[key])} cells marked inside the solid."
+                )
 
     def read_stl(self, key):
         # import stl
@@ -403,7 +455,7 @@ def read_stl(self, key):
 
     def _compute_snap_points(self, snap_solids=None, snap_tol=1e-8):
         if self.verbose > 1:
-            print(' * Calculating snappy points...')
+            print(" * Calculating snappy points...")
         # Support for user-defined stl_keys as list
         if snap_solids is None:
             snap_solids = self.stl_solids.keys()
@@ -470,100 +522,127 @@ def plot_snap_points(self, snap_solids=None, snap_tol=1e-8):
         xy_cloud = pv.PolyData(xy_plane_points)
 
         pl = pv.Plotter()
-        pl.add_mesh(model, color='white', opacity=0.5, label='base STL')
-        pl.add_mesh(edges, color='black', line_width=5, opacity=0.8,)
-        pl.add_mesh(xz_cloud, color='green', point_size=20, render_points_as_spheres=True, label='XZ plane points')
-        pl.add_mesh(yz_cloud, color='orange', point_size=20, render_points_as_spheres=True, label='YZ plane points')
-        pl.add_mesh(xy_cloud, color='magenta', point_size=20, render_points_as_spheres=True, label='XY plane points')
+        pl.add_mesh(model, color="white", opacity=0.5, label="base STL")
+        pl.add_mesh(
+            edges,
+            color="black",
+            line_width=5,
+            opacity=0.8,
+        )
+        pl.add_mesh(
+            xz_cloud,
+            color="green",
+            point_size=20,
+            render_points_as_spheres=True,
+            label="XZ plane points",
+        )
+        pl.add_mesh(
+            yz_cloud,
+            color="orange",
+            point_size=20,
+            render_points_as_spheres=True,
+            label="YZ plane points",
+        )
+        pl.add_mesh(
+            xy_cloud,
+            color="magenta",
+            point_size=20,
+            render_points_as_spheres=True,
+            label="XY plane points",
+        )
         pl.add_legend()
         pl.show()
 
-    def refine_axis(self, xmin, xmax, Nx, x_snaps,
-                    method='insert', tol=1e-12):
-
+    def refine_axis(self, xmin, xmax, Nx, x_snaps, method="insert", tol=1e-12):
         # Loss function to minimize cell size spread
         def loss_function(x, x0, is_snap):
             # avoid moving snap points
-            penalty_snap = np.sum((x[is_snap] - x0[is_snap])**2) * 1000
+            penalty_snap = np.sum((x[is_snap] - x0[is_snap]) ** 2) * 1000
             # avoid gaps < uniform gap
             dx = np.diff(x)
-            threshold = 1/(len(x)-1) # or a hardcoded `min_spacing`
-            penalty_small_gaps = np.sum((threshold - dx[dx < threshold])**2)
+            threshold = 1 / (len(x) - 1)  # or a hardcoded `min_spacing`
+            penalty_small_gaps = np.sum((threshold - dx[dx < threshold]) ** 2)
             # avoid large spread in gap length
             dx = np.diff(x)
             penalty_variance = np.std(dx) * 10
-            #return penalty_snap + penalty_small_gaps + penalty_variance
+            # return penalty_snap + penalty_small_gaps + penalty_variance
             return np.hstack([penalty_snap, penalty_small_gaps, penalty_variance])
 
         # Uniformly distributed points as initial guess
-        x_snaps = (x_snaps-xmin)/(xmax-xmin) # normalize to [0,1]
+        x_snaps = (x_snaps - xmin) / (xmax - xmin)  # normalize to [0,1]
 
-        if method == 'insert':
-            x0 = np.unique(np.append(x_snaps,  np.linspace(0, 1, Nx - len(x_snaps))))
+        if method == "insert":
+            x0 = np.unique(np.append(x_snaps, np.linspace(0, 1, Nx - len(x_snaps))))
 
-        elif method == 'neighbor':
+        elif method == "neighbor":
             x = np.linspace(0, 1, Nx)
             dx = np.diff(x)[0]
             for s in x_snaps:
-                m = np.isclose(x, s, rtol=0.0, atol=dx/2)
-                if np.sum(m)>0:
+                m = np.isclose(x, s, rtol=0.0, atol=dx / 2)
+                if np.sum(m) > 0:
                     x[np.argmax(m)] = s
             x0 = x.copy()
 
-        elif method == 'subdivision':
+        elif method == "subdivision":
             # x = snaps
             while len(x) < Nx:
-                #idx of segments sorted min -> max
-                idx_max_diffs = np.argsort(np.diff(x))[-1] # take bigger
+                # idx of segments sorted min -> max
+                idx_max_diffs = np.argsort(np.diff(x))[-1]  # take bigger
 
                 print(f"Bigger segment starts at {x[idx_max_diffs]}")
                 # compute new point in the middle of the segment
                 val = x[idx_max_diffs] + (x[idx_max_diffs + 1] - x[idx_max_diffs]) / 2
 
                 # insert the new point
-                x = np.insert(x, idx_max_diffs+1, val)
+                x = np.insert(x, idx_max_diffs + 1, val)
                 x = np.unique(x)
                 print(f"Inserted point {val} at index {idx_max_diffs}")
             x0 = x.copy()
         else:
-            raise ValueError(f"Method {method} not supported. Use 'insert', 'neighbor' or 'subdivision'.")
+            raise ValueError(
+                f"Method {method} not supported. Use 'insert', 'neighbor' or 'subdivision'."
+            )
 
         # minimize segment length spread for the test points
         is_snap = np.isin(x0, x_snaps)
-        result = least_squares(loss_function,
-                                x0=x0.copy(),
-                                bounds=(0,1),#(zmin, zmax),
-                                jac='3-point',
-                                method='dogbox',
-                                loss='arctan',
-                                gtol=tol,
-                                ftol=tol,
-                                xtol=tol,
-                                verbose=1,
-                                args=(x0.copy(), is_snap.copy()),
-                                )
+        result = least_squares(
+            loss_function,
+            x0=x0.copy(),
+            bounds=(0, 1),  # (zmin, zmax),
+            jac="3-point",
+            method="dogbox",
+            loss="arctan",
+            gtol=tol,
+            ftol=tol,
+            xtol=tol,
+            verbose=1,
+            args=(x0.copy(), is_snap.copy()),
+        )
         # transform back to [xmin, xmax]
-        return result.x*(xmax-xmin)+xmin
+        return result.x * (xmax - xmin) + xmin
 
-    def _refine_xyz_axis(self, method='insert', tol=1e-6):
-        '''Refine the grid in the x, y, z axis
+    def _refine_xyz_axis(self, method="insert", tol=1e-6):
+        """Refine the grid in the x, y, z axis
         using the snap points extracted from the stl solids.
-        The snap points are used to refine the grid '''
+        The snap points are used to refine the grid"""
 
         if self.verbose > 1:
-            print(f' * Refining x axis with {len(self.x_snaps)} snaps...')
-        self.x = self.refine_axis(self.xmin, self.xmax, self.Nx+1, self.x_snaps,
-                                  method=method, tol=tol)
+            print(f" * Refining x axis with {len(self.x_snaps)} snaps...")
+        self.x = self.refine_axis(
+            self.xmin, self.xmax, self.Nx + 1, self.x_snaps, method=method, tol=tol
+        )
 
         if self.verbose > 1:
-            print(f' * Refining y axis with {len(self.y_snaps)} snaps...')
-        self.y = self.refine_axis(self.ymin, self.ymax, self.Ny+1, self.y_snaps,
-                                  method=method, tol=tol)
+            print(f" * Refining y axis with {len(self.y_snaps)} snaps...")
+        self.y = self.refine_axis(
+            self.ymin, self.ymax, self.Ny + 1, self.y_snaps, method=method, tol=tol
+        )
 
         if self.verbose > 1:
-            print(f' * Refining z axis with {len(self.z_snaps)} snaps...')
-        self.z = self.refine_axis(self.zmin, self.zmax, self.Nz+1, self.z_snaps,
-                                  method=method, tol=tol)
+            print(f" * Refining z axis with {len(self.z_snaps)} snaps...")
+        self.z = self.refine_axis(
+            self.zmin, self.zmax, self.Nz + 1, self.z_snaps, method=method, tol=tol
+        )
 
         self.Nx = len(self.x) - 1
         self.Ny = len(self.y) - 1
@@ -576,49 +655,60 @@ def _refine_xyz_axis(self, method='insert', tol=1e-6):
             print(f"Refined grid: Nx = {self.Nx}, Ny ={self.Ny}, Nz = {self.Nz}")
 
     def _assign_colors(self):
-        '''Classify colors assigned to each solid
+        """Classify colors assigned to each solid
         based on the categories in `material_colors` dict
         inside `materials.py`
-        '''
+        """
         self.stl_colors = {}
 
         for key in self.stl_solids:
             mat = self.stl_materials[key]
             if type(mat) is str:
-                _color = material_colors.get(mat, material_colors['other'])
+                _color = material_colors.get(mat, material_colors["other"])
                 self.stl_colors[key] = _color
             elif len(mat) == 2:
-                if mat[0] is np.inf:  #eps_r
-                    self.stl_colors[key] = material_colors['pec']
-                elif mat[0] > 1.0:    #eps_r
-                    self.stl_colors[key] = material_colors['dielectric']
+                if mat[0] is np.inf:  # eps_r
+                    self.stl_colors[key] = material_colors["pec"]
+                elif mat[0] > 1.0:  # eps_r
+                    self.stl_colors[key] = material_colors["dielectric"]
                 else:
-                    self.stl_colors[key] = material_colors['vacuum']
+                    self.stl_colors[key] = material_colors["vacuum"]
             elif len(mat) == 3:
-                self.stl_colors[key] = material_colors['lossy metal']
+                self.stl_colors[key] = material_colors["lossy metal"]
             else:
-                self.stl_colors[key] = material_colors['other']
+                self.stl_colors[key] = material_colors["other"]
 
     def _add_logo_widget(self, pl):
         """Add packaged logo via importlib.resources (Python 3.9+)."""
         try:
             from importlib import resources
+
             # resource inside the installed package (use current package)
-            logo_res = resources.files(__package__).joinpath('static', 'img', 'wakis-logo-pink.png')
+            logo_res = resources.files(__package__).joinpath(
+                "static", "img", "wakis-logo-pink.png"
+            )
             with resources.as_file(logo_res) as logo_path:
                 pl.add_logo_widget(str(logo_path))
                 return
         except Exception as e:
             # fallback to the legacy relative path for dev installs
             try:
-                pl.add_logo_widget('../docs/img/wakis-logo-pink.png')
+                pl.add_logo_widget("../docs/img/wakis-logo-pink.png")
             except Exception:
                 if self.verbose > 1:
-                    print(f'[!] Could not add logo widget: {e}')
-
-    def plot_solids(self, bounding_box=False, show_grid=False, anti_aliasing=None,
-                    opacity=1.0, specular=0.5, smooth_shading=False,
-                    off_screen=False, **kwargs):
+                    print(f"[!] Could not add logo widget: {e}")
+
+    def plot_solids(
+        self,
+        bounding_box=False,
+        show_grid=False,
+        anti_aliasing=None,
+        opacity=1.0,
+        specular=0.5,
+        smooth_shading=False,
+        off_screen=False,
+        **kwargs,
+    ):
         """
         Generates a 3D visualization of the imported STL geometries using PyVista.
 
@@ -654,20 +744,25 @@ def plot_solids(self, bounding_box=False, show_grid=False, anti_aliasing=None,
         """
 
         pl = pv.Plotter()
-        pl.add_mesh(self.grid, opacity=0., name='grid', show_scalar_bar=False)
+        pl.add_mesh(self.grid, opacity=0.0, name="grid", show_scalar_bar=False)
         for key in self.stl_solids:
             color = self.stl_colors[key]
-            if self.stl_materials[key] == 'vacuum':
+            if self.stl_materials[key] == "vacuum":
                 _opacity = 0.3
             else:
                 _opacity = opacity
-            pl.add_mesh(self.read_stl(key), color=color,
-                        opacity=_opacity, specular=specular, smooth_shading=smooth_shading,
-                        **kwargs)
+            pl.add_mesh(
+                self.read_stl(key),
+                color=color,
+                opacity=_opacity,
+                specular=specular,
+                smooth_shading=smooth_shading,
+                **kwargs,
+            )
 
-        pl.set_background('mistyrose', top='white')
+        pl.set_background("mistyrose", top="white")
         self._add_logo_widget(pl)
-        pl.camera_position = 'zx'
+        pl.camera_position = "zx"
         pl.camera.azimuth += 30
         pl.camera.elevation += 30
         pl.add_axes()
@@ -679,18 +774,31 @@ def plot_solids(self, bounding_box=False, show_grid=False, anti_aliasing=None,
             pl.add_bounding_box()
 
         if show_grid:
-            pl.add_mesh(self.grid, style='wireframe', color='grey', opacity=0.3, name='grid')
+            pl.add_mesh(
+                self.grid, style="wireframe", color="grey", opacity=0.3, name="grid"
+            )
 
         if off_screen:
-            pl.export_html('grid_plot_solids.html')
+            pl.export_html("grid_plot_solids.html")
         else:
             pl.show()
 
-    def plot_stl_mask(self, stl_solid, cmap='viridis', bounding_box=True, show_grid=True,
-                      add_stl='all', stl_opacity=0., stl_colors=None,
-                      xmax=None, ymax=None, zmax=None,
-                      anti_aliasing='ssaa', smooth_shading=False, off_screen=False):
-
+    def plot_stl_mask(
+        self,
+        stl_solid,
+        cmap="viridis",
+        bounding_box=True,
+        show_grid=True,
+        add_stl="all",
+        stl_opacity=0.0,
+        stl_colors=None,
+        xmax=None,
+        ymax=None,
+        zmax=None,
+        anti_aliasing="ssaa",
+        smooth_shading=False,
+        off_screen=False,
+    ):
         """
         Interactive 3D visualization of the structured grid mask and imported STL geometries.
 
@@ -758,7 +866,7 @@ def plot_stl_mask(self, stl_solid, cmap='viridis', bounding_box=True, show_grid=
 
         pv.global_theme.allow_empty_mesh = True
         pl = pv.Plotter()
-        vals = {'x':xmax, 'y':ymax, 'z':zmax}
+        vals = {"x": xmax, "y": ymax, "z": zmax}
 
         # --- Update function ---
         def update_clip(val, axis="x"):
@@ -773,9 +881,17 @@ def update_clip(val, axis="x"):
 
             # add clipped volume (scalars)
             pl.add_mesh(
-                self.grid.clip_box(bounds=(self.xmin, vals['x'],
-                                           self.ymin, vals['y'],
-                                           self.zmin, vals['z']), invert=False),
+                self.grid.clip_box(
+                    bounds=(
+                        self.xmin,
+                        vals["x"],
+                        self.ymin,
+                        vals["y"],
+                        self.zmin,
+                        vals["z"],
+                    ),
+                    invert=False,
+                ),
                 scalars=stl_solid,
                 cmap=cmap,
                 name="clip",
@@ -787,79 +903,147 @@ def update_clip(val, axis="x"):
 
         # Plot stl surface(s)
         if add_stl is not None:
-            if type(add_stl) is str: #add all stl solids
-                if add_stl.lower() == 'all':
+            if type(add_stl) is str:  # add all stl solids
+                if add_stl.lower() == "all":
                     for i, key in enumerate(self.stl_solids):
                         surf = self.read_stl(key)
                         if type(stl_colors) is dict:
-                            pl.add_mesh(surf, color=stl_colors[key], opacity=stl_opacity, silhouette=dict(color=stl_colors[key]), name=key)
+                            pl.add_mesh(
+                                surf,
+                                color=stl_colors[key],
+                                opacity=stl_opacity,
+                                silhouette=dict(color=stl_colors[key]),
+                                name=key,
+                            )
                         elif type(stl_colors) is list:
-                            pl.add_mesh(surf, color=stl_colors[i], opacity=stl_opacity, silhouette=dict(color=stl_colors[i]), name=key)
+                            pl.add_mesh(
+                                surf,
+                                color=stl_colors[i],
+                                opacity=stl_opacity,
+                                silhouette=dict(color=stl_colors[i]),
+                                name=key,
+                            )
                         else:
-                            pl.add_mesh(surf, color='white', opacity=stl_opacity, silhouette=True, name=key)
-                else: #add 1 selected stl solid
+                            pl.add_mesh(
+                                surf,
+                                color="white",
+                                opacity=stl_opacity,
+                                silhouette=True,
+                                name=key,
+                            )
+                else:  # add 1 selected stl solid
                     key = add_stl
                     surf = self.read_stl(key)
-                    pl.add_mesh(surf, color=stl_colors[key], opacity=stl_opacity, silhouette=dict(color=stl_colors[key]), name=key)
-
-            elif type(add_stl) is list: #add selected list of stl solids
+                    pl.add_mesh(
+                        surf,
+                        color=stl_colors[key],
+                        opacity=stl_opacity,
+                        silhouette=dict(color=stl_colors[key]),
+                        name=key,
+                    )
+
+            elif type(add_stl) is list:  # add selected list of stl solids
                 for i, key in enumerate(add_stl):
                     surf = self.read_stl(key)
                     if type(stl_colors[key]) is dict:
-                        pl.add_mesh(surf, color=stl_colors[key], opacity=stl_opacity, silhouette=dict(color=stl_colors[key]), name=key)
+                        pl.add_mesh(
+                            surf,
+                            color=stl_colors[key],
+                            opacity=stl_opacity,
+                            silhouette=dict(color=stl_colors[key]),
+                            name=key,
+                        )
                     elif type(stl_colors) is list:
-                        pl.add_mesh(surf, color=stl_colors[i], opacity=stl_opacity, silhouette=dict(color=stl_colors[i]), name=key)
+                        pl.add_mesh(
+                            surf,
+                            color=stl_colors[i],
+                            opacity=stl_opacity,
+                            silhouette=dict(color=stl_colors[i]),
+                            name=key,
+                        )
                     else:
-                        pl.add_mesh(surf, color='white', opacity=stl_opacity, silhouette=True, name=key)
+                        pl.add_mesh(
+                            surf,
+                            color="white",
+                            opacity=stl_opacity,
+                            silhouette=True,
+                            name=key,
+                        )
 
         # --- Sliders (placed side-by-side vertically) ---
         pl.add_slider_widget(
             lambda val: update_clip(val, "x"),
             [self.xmin, self.xmax],
-            value=xmax, title="X Clip",
-            pointa=(0.8, 0.8), pointb=(0.95, 0.8),  # top-right
-            style='modern',
+            value=xmax,
+            title="X Clip",
+            pointa=(0.8, 0.8),
+            pointb=(0.95, 0.8),  # top-right
+            style="modern",
         )
 
         pl.add_slider_widget(
             lambda val: update_clip(val, "y"),
             [self.ymin, self.ymax],
-            value=ymax, title="Y Clip",
-            pointa=(0.8, 0.6), pointb=(0.95, 0.6),  # middle-right
-            style='modern',
+            value=ymax,
+            title="Y Clip",
+            pointa=(0.8, 0.6),
+            pointb=(0.95, 0.6),  # middle-right
+            style="modern",
         )
 
         pl.add_slider_widget(
             lambda val: update_clip(val, "z"),
             [self.zmin, self.zmax],
-            value=zmax, title="Z Clip",
-            pointa=(0.8, 0.4), pointb=(0.95, 0.4),  # lower-right
-            style='modern',
+            value=zmax,
+            title="Z Clip",
+            pointa=(0.8, 0.4),
+            pointb=(0.95, 0.4),  # lower-right
+            style="modern",
         )
 
         # Camera orientation
-        pl.camera_position = 'zx'
+        pl.camera_position = "zx"
         pl.camera.azimuth += 30
         pl.camera.elevation += 30
-        pl.set_background('mistyrose', top='white')
+        pl.set_background("mistyrose", top="white")
         self._add_logo_widget(pl)
         pl.add_axes()
         pl.enable_3_lights()
         pl.enable_anti_aliasing(anti_aliasing)
 
         if bounding_box:
-            pl.add_mesh(pv.Box(bounds=(self.xmin, self.xmax, self.ymin, self.ymax, self.zmin, self.zmax)),
-            style="wireframe", color="black", line_width=2, name="domain_box")
+            pl.add_mesh(
+                pv.Box(
+                    bounds=(
+                        self.xmin,
+                        self.xmax,
+                        self.ymin,
+                        self.ymax,
+                        self.zmin,
+                        self.zmax,
+                    )
+                ),
+                style="wireframe",
+                color="black",
+                line_width=2,
+                name="domain_box",
+            )
 
         if off_screen:
-            pl.export_html(f'grid_stl_mask_{stl_solid}.html')
+            pl.export_html(f"grid_stl_mask_{stl_solid}.html")
         else:
             pl.show()
 
-    def inspect(self, add_stl=None, stl_opacity=0.5, stl_colors=None,
-                anti_aliasing='ssaa', smooth_shading=True, off_screen=False):
-
-        '''3D plot using pyvista to visualize
+    def inspect(
+        self,
+        add_stl=None,
+        stl_opacity=0.5,
+        stl_colors=None,
+        anti_aliasing="ssaa",
+        smooth_shading=True,
+        off_screen=False,
+    ):
+        """3D plot using pyvista to visualize
         the structured grid and
         the imported stl geometries
 
@@ -871,60 +1055,110 @@ def inspect(self, add_stl=None, stl_opacity=0.5, stl_colors=None,
             Opacity of the stl surfaces (0 - Transparent, 1 - Opaque)
         stl_colors: str or list of str, default 'white'
             Color of the stl surfaces
-        '''
+        """
         if stl_colors is None:
             stl_colors = self.stl_colors
 
         pv.global_theme.allow_empty_mesh = True
         pl = pv.Plotter()
-        pl.add_mesh(self.grid, show_edges=True, cmap=['white', 'white'], name='grid')
+        pl.add_mesh(self.grid, show_edges=True, cmap=["white", "white"], name="grid")
+
         def clip(widget):
             # Plot structured grid
             b = widget.bounds
-            x = self.x[np.logical_and(self.x>=b[0], self.x<=b[1])]
-            y = self.y[np.logical_and(self.y>=b[2], self.y<=b[3])]
-            z = self.z[np.logical_and(self.z>=b[4], self.z<=b[5])]
-            X, Y, Z = np.meshgrid(x, y, z, indexing='ij')
+            x = self.x[np.logical_and(self.x >= b[0], self.x <= b[1])]
+            y = self.y[np.logical_and(self.y >= b[2], self.y <= b[3])]
+            z = self.z[np.logical_and(self.z >= b[4], self.z <= b[5])]
+            X, Y, Z = np.meshgrid(x, y, z, indexing="ij")
             grid = pv.StructuredGrid(X.transpose(), Y.transpose(), Z.transpose())
 
-            pl.add_mesh(grid, show_edges=True, cmap=['white', 'white'], name='grid')
+            pl.add_mesh(grid, show_edges=True, cmap=["white", "white"], name="grid")
             # Plot stl surface(s)
-            if add_stl is not None: #add 1 selected stl solid
+            if add_stl is not None:  # add 1 selected stl solid
                 if type(add_stl) is str:
                     key = add_stl
                     surf = self.read_stl(key)
                     surf = surf.clip_box(widget.bounds, invert=False)
-                    pl.add_mesh(surf, color=stl_colors[key], opacity=stl_opacity, silhouette=True, smooth_shading=smooth_shading, name=key)
-
-                elif type(add_stl) is list: #add selected list of stl solids
+                    pl.add_mesh(
+                        surf,
+                        color=stl_colors[key],
+                        opacity=stl_opacity,
+                        silhouette=True,
+                        smooth_shading=smooth_shading,
+                        name=key,
+                    )
+
+                elif type(add_stl) is list:  # add selected list of stl solids
                     for i, key in enumerate(add_stl):
                         surf = self.read_stl(key)
                         surf = surf.clip_box(widget.bounds, invert=False)
                         if type(stl_colors) is dict:
-                            pl.add_mesh(surf, color=stl_colors[key], opacity=stl_opacity, silhouette=True, smooth_shading=smooth_shading, name=key)
+                            pl.add_mesh(
+                                surf,
+                                color=stl_colors[key],
+                                opacity=stl_opacity,
+                                silhouette=True,
+                                smooth_shading=smooth_shading,
+                                name=key,
+                            )
                         elif type(stl_colors) is list:
-                            pl.add_mesh(surf, color=stl_colors[i], opacity=stl_opacity, silhouette=True, smooth_shading=smooth_shading, name=key)
+                            pl.add_mesh(
+                                surf,
+                                color=stl_colors[i],
+                                opacity=stl_opacity,
+                                silhouette=True,
+                                smooth_shading=smooth_shading,
+                                name=key,
+                            )
                         else:
-                            pl.add_mesh(surf, color='white', opacity=stl_opacity, silhouette=True, smooth_shading=smooth_shading, name=key)
+                            pl.add_mesh(
+                                surf,
+                                color="white",
+                                opacity=stl_opacity,
+                                silhouette=True,
+                                smooth_shading=smooth_shading,
+                                name=key,
+                            )
 
-            else: #add all stl solids
+            else:  # add all stl solids
                 for i, key in enumerate(self.stl_solids):
                     surf = self.read_stl(key)
                     surf = surf.clip_box(widget.bounds, invert=False)
                     if type(stl_colors) is dict:
-                        pl.add_mesh(surf, color=stl_colors[key], opacity=stl_opacity, silhouette=True, smooth_shading=smooth_shading, name=key)
+                        pl.add_mesh(
+                            surf,
+                            color=stl_colors[key],
+                            opacity=stl_opacity,
+                            silhouette=True,
+                            smooth_shading=smooth_shading,
+                            name=key,
+                        )
                     elif type(stl_colors) is list:
-                        pl.add_mesh(surf, color=stl_colors[i], opacity=stl_opacity, silhouette=True, smooth_shading=smooth_shading, name=key)
+                        pl.add_mesh(
+                            surf,
+                            color=stl_colors[i],
+                            opacity=stl_opacity,
+                            silhouette=True,
+                            smooth_shading=smooth_shading,
+                            name=key,
+                        )
                     else:
-                        pl.add_mesh(surf, color='white', opacity=stl_opacity, silhouette=True, smooth_shading=smooth_shading, name=key)
+                        pl.add_mesh(
+                            surf,
+                            color="white",
+                            opacity=stl_opacity,
+                            silhouette=True,
+                            smooth_shading=smooth_shading,
+                            name=key,
+                        )
 
         _ = pl.add_box_widget(callback=clip, rotation_enabled=False)
 
         # Camera orientation
-        pl.camera_position = 'zx'
+        pl.camera_position = "zx"
         pl.camera.azimuth += 30
         pl.camera.elevation += 30
-        pl.set_background('mistyrose', top='white')
+        pl.set_background("mistyrose", top="white")
         self._add_logo_widget(pl)
         pl.add_axes()
         pl.enable_3_lights()
@@ -933,13 +1167,13 @@ def clip(widget):
         if off_screen:
             pl.off_screen = True
             return pl
-            #pl.export_html('grid_inspect.html')
+            # pl.export_html('grid_inspect.html')
         else:
             pl.show()
             return None
 
-    def save_to_h5(self, filename='grid.h5'):
-        '''Save generated grid to HDF5 file
+    def save_to_h5(self, filename="grid.h5"):
+        """Save generated grid to HDF5 file
 
         Stored data:
         ------------
@@ -948,37 +1182,42 @@ def save_to_h5(self, filename='grid.h5'):
         * All `stl_` related variables:
             stl_solids, stl_materials, stl_colors,
             stl_scale, stl_rotate, stl_translate
-        '''
+        """
 
-        if not filename.endswith('.h5'):
-            filename += '.h5'
+        if not filename.endswith(".h5"):
+            filename += ".h5"
 
         if self.verbose:
-            print('Saving grid to HDF5 file:', filename)
+            print("Saving grid to HDF5 file:", filename)
 
-        with h5py.File(filename, 'w') as hf:
-            hf.create_dataset('x', data=np.array(self.x))
-            hf.create_dataset('y', data=np.array(self.y))
-            hf.create_dataset('z', data=np.array(self.z))
+        with h5py.File(filename, "w") as hf:
+            hf.create_dataset("x", data=np.array(self.x))
+            hf.create_dataset("y", data=np.array(self.y))
+            hf.create_dataset("z", data=np.array(self.z))
 
             # Save stl_ variables as groups
-            for attr in ['stl_solids', 'stl_materials',
-                        'stl_colors', 'stl_scale',
-                        'stl_rotate', 'stl_translate']:
+            for attr in [
+                "stl_solids",
+                "stl_materials",
+                "stl_colors",
+                "stl_scale",
+                "stl_rotate",
+                "stl_translate",
+            ]:
                 grp = hf.create_group(attr)
                 dct = getattr(self, attr)
                 for key, val in dct.items():
                     # Use dtype='S' for strings, otherwise np.array
                     if isinstance(val, str):
-                        grp.create_dataset(str(key), data=np.string_(val))
+                        grp.create_dataset(str(key), data=np.bytes_(val))
                     else:
                         grp.create_dataset(str(key), data=np.array(val))
 
             for key in self.stl_solids.keys():
-                hf.create_dataset('grid_'+key, data=np.array(self.grid[key]))
+                hf.create_dataset("grid_" + key, data=np.array(self.grid[key]))
 
     def load_from_h5(self, filename):
-        '''Load grid from HDF5 file
+        """Load grid from HDF5 file
 
         Stored data:
         ------------
@@ -987,23 +1226,28 @@ def load_from_h5(self, filename):
         * All `stl_` related variables:
             stl_solids, stl_materials, stl_colors,
             stl_scale, stl_rotate, stl_translate
-        '''
-        if not filename.endswith('.h5'):
-            filename += '.h5'
+        """
+        if not filename.endswith(".h5"):
+            filename += ".h5"
 
         if self.verbose:
-            print('Loading grid from HDF5 file:', filename)
+            print("Loading grid from HDF5 file:", filename)
 
-        with h5py.File(filename, 'r') as hf:
+        with h5py.File(filename, "r") as hf:
             # reconstruct stl dicts
-            self.x = hf['x'][()]
-            self.y = hf['y'][()]
-            self.z = hf['z'][()]
+            self.x = hf["x"][()]
+            self.y = hf["y"][()]
+            self.z = hf["z"][()]
 
             # Load stl_ variables from groups
-            for attr in ['stl_solids', 'stl_materials',
-                        'stl_colors', 'stl_scale',
-                        'stl_rotate', 'stl_translate']:
+            for attr in [
+                "stl_solids",
+                "stl_materials",
+                "stl_colors",
+                "stl_scale",
+                "stl_rotate",
+                "stl_translate",
+            ]:
                 dct = {}
                 grp = hf[attr]
                 for key in grp.keys():
@@ -1029,33 +1273,39 @@ def load_from_h5(self, filename):
         self._compute_grid()
 
         # asign masks to grid.cell_data
-        with h5py.File(filename, 'r') as hf:
+        with h5py.File(filename, "r") as hf:
             for key in self.stl_solids.keys():
-                self.grid[key] = hf['grid_'+key][()]
+                self.grid[key] = hf["grid_" + key][()]
 
         # add verbosity
         if self.verbose > 1:
-            print(f'Loaded grid with {self.Nx*self.Ny*self.Nz} mesh cells:')
-            print(f' * Number of cells: Nx={self.Nx}, Ny={self.Ny}, Nz={self.Nz}')
-            print(f' * Simulation domain bounds: \n\
+            print(f"Loaded grid with {self.Nx * self.Ny * self.Nz} mesh cells:")
+            print(f" * Number of cells: Nx={self.Nx}, Ny={self.Ny}, Nz={self.Nz}")
+            print(
+                f" * Simulation domain bounds: \n\
                 x:[{self.xmin:.3f}, {self.xmax:.3f}],\n\
                 y:[{self.ymin:.3f}, {self.ymax:.3f}],\n\
-                z:[{self.zmin:.3f}, {self.zmax:.3f}]')
-            print(f' * STL solids imported:\n\
-                {list(self.stl_solids.keys())}')
-            print(f' * STL solids assigned materials [eps_r, mu_r, sigma]:\n\
-                {list(self.stl_materials.values())}')
+                z:[{self.zmin:.3f}, {self.zmax:.3f}]"
+            )
+            print(
+                f" * STL solids imported:\n\
+                {list(self.stl_solids.keys())}"
+            )
+            print(
+                f" * STL solids assigned materials [eps_r, mu_r, sigma]:\n\
+                {list(self.stl_materials.values())}"
+            )
 
         # update logger
-        self.update_logger(['Nx', 'Ny', 'Nz', 'dx', 'dy', 'dz'])
-        self.update_logger(['xmin', 'xmax', 'ymin', 'ymax', 'zmin', 'zmax'])
-        self.update_logger(['stl_solids', 'stl_materials'])
-        if self.stl_rotate != [0., 0., 0.]:
-            self.update_logger(['stl_rotate'])
-        if self.stl_translate != [0., 0., 0.]:
-            self.update_logger(['stl_translate'])
+        self.update_logger(["Nx", "Ny", "Nz", "dx", "dy", "dz"])
+        self.update_logger(["xmin", "xmax", "ymin", "ymax", "zmin", "zmax"])
+        self.update_logger(["stl_solids", "stl_materials"])
+        if self.stl_rotate != [0.0, 0.0, 0.0]:
+            self.update_logger(["stl_rotate"])
+        if self.stl_translate != [0.0, 0.0, 0.0]:
+            self.update_logger(["stl_translate"])
         if self.stl_scale != 1.0:
-            self.update_logger(['stl_scale'])
+            self.update_logger(["stl_scale"])
 
     def update_logger(self, attrs):
         """
diff --git a/wakis/logger.py b/wakis/logger.py
index c7e9731..b05a8ea 100644
--- a/wakis/logger.py
+++ b/wakis/logger.py
@@ -3,22 +3,14 @@
 # Copyright (c) CERN, 2025.                   #
 # ########################################### #
 
-from tqdm import tqdm
 
-import numpy as np
-import time
-import h5py
 import os
 import json
 
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
-from scipy.sparse import csc_matrix as sparse_mat
-from scipy.sparse import diags, hstack, vstack
+from scipy.constants import mu_0 as mu_0
 
 
-
-class Logger():
-
+class Logger:
     def __init__(self):
         self.grid = {}
         self.solver = {}
@@ -30,13 +22,13 @@ def save_logs(self, results_folder=None):
         """
         if results_folder is not None:
             self.wakeSolver["results_folder"] = results_folder
-            
+
         logfile = os.path.join(self.wakeSolver["results_folder"], "wakis.log")
 
         # Write sections
-        if not os.path.exists(self.wakeSolver["results_folder"]): 
+        if not os.path.exists(self.wakeSolver["results_folder"]):
             os.mkdir(self.wakeSolver["results_folder"])
-        
+
         with open(logfile, "w", encoding="utf-8") as fh:
             fh.write("Simulation Parameters\n")
             fh.write("""=====================\n\n""")
diff --git a/wakis/materials.py b/wakis/materials.py
index 039f933..d5d04db 100644
--- a/wakis/materials.py
+++ b/wakis/materials.py
@@ -3,7 +3,7 @@
 # Copyright (c) CERN, 2024.                   #
 # ########################################### #
 
-'''
+"""
 Material library dictionary
 
 Format (non-conductive):
@@ -19,40 +19,27 @@
 ! Note:
 * 'material key' in lower case only
 * eps = eps_r*eps_0 and mu = mu_r*mu_0
-'''
+"""
 
 import numpy as np
 
 material_lib = {
-    'pec' : [np.inf, 1.],
-
-    'vacuum' : [1.0, 1.0],
-
-    'dielectric' : [10., 1.0],
-    
-    'lossy metal' : [10, 1.0, 10],
-
-    'copper' : [5.8e+07, 1.0, 5.8e+07],
-
-    'berillium' : [2.5e+07, 1.0, 2.5e+07],  
+    "pec": [np.inf, 1.0],
+    "vacuum": [1.0, 1.0],
+    "dielectric": [10.0, 1.0],
+    "lossy metal": [10, 1.0, 10],
+    "copper": [5.8e07, 1.0, 5.8e07],
+    "berillium": [2.5e07, 1.0, 2.5e07],
 }
 
 material_colors = {
-    'pec' : 'white',
-
-    'vacuum' : 'tab:blue',
-
-    'dielectric' : 'tab:green',
-
-    'lossy metal' : 'tab:orange',
-
-    'copper' : [0.82745099, 0.698039, 0.49019599],
-
-    'berillium' : [0.82745099, 0.698039, 0.49019599],
-
-    'stainless steel' : 'silver',
-
-    'martensite' : [0.,1.,1.],
-
-    'other' : 'cyan',
-}
\ No newline at end of file
+    "pec": "white",
+    "vacuum": "tab:blue",
+    "dielectric": "tab:green",
+    "lossy metal": "tab:orange",
+    "copper": [0.82745099, 0.698039, 0.49019599],
+    "berillium": [0.82745099, 0.698039, 0.49019599],
+    "stainless steel": "silver",
+    "martensite": [0.0, 1.0, 1.0],
+    "other": "cyan",
+}
diff --git a/wakis/plotting.py b/wakis/plotting.py
index f2aefae..92ff053 100644
--- a/wakis/plotting.py
+++ b/wakis/plotting.py
@@ -7,16 +7,31 @@
 import numpy as np
 import matplotlib.pyplot as plt
 
-class PlotMixin:
 
-    def plot3D(self, field='E', component='z', clim=None, hide_solids=None,
-               show_solids=None, add_stl=None, stl_opacity=0.1, stl_colors='white',
-               title=None, cmap='jet',
-               clip_interactive=False, clip_normal='-y',
-               clip_box=False, clip_bounds=None,
-               off_screen=False, zoom=0.5, camera_position=None,
-               nan_opacity=1.0, n=None):
-        '''
+class PlotMixin:
+    def plot3D(
+        self,
+        field="E",
+        component="z",
+        clim=None,
+        hide_solids=None,
+        show_solids=None,
+        add_stl=None,
+        stl_opacity=0.1,
+        stl_colors="white",
+        title=None,
+        cmap="jet",
+        clip_interactive=False,
+        clip_normal="-y",
+        clip_box=False,
+        clip_bounds=None,
+        off_screen=False,
+        zoom=0.5,
+        camera_position=None,
+        nan_opacity=1.0,
+        n=None,
+    ):
+        """
         Built-in 3D plotting using PyVista
 
         Parameters:
@@ -62,23 +77,22 @@ def plot3D(self, field='E', component='z', clim=None, hide_solids=None,
             Plot will not be rendered if set to True.
         n: int, optional
             Timestep number to be added to the plot title and figsave title.
-        '''
+        """
         if self.use_mpi:
-            print('[!] plot3D is not supported when `use_mpi=True`')
+            print("[!] plot3D is not supported when `use_mpi=True`")
             return
 
-        if len(field) == 2: #support for e.g. field='Ex'
+        if len(field) == 2:  # support for e.g. field='Ex'
             component = field[1]
             field = field[0]
 
         if title is None:
-            title = field + component +'3d'
+            title = field + component + "3d"
 
         if self.plotter_active and not off_screen:
             self.plotter_active = False
 
         if not self.plotter_active:
-
             pl = pv.Plotter(off_screen=off_screen)
 
             # Plot stl surface(s)
@@ -86,28 +100,42 @@ def plot3D(self, field='E', component='z', clim=None, hide_solids=None,
                 if type(add_stl) is str:
                     key = add_stl
                     surf = self.grid.read_stl(key)
-                    pl.add_mesh(surf, color=stl_colors, opacity=stl_opacity, smooth_shading=True)
+                    pl.add_mesh(
+                        surf, color=stl_colors, opacity=stl_opacity, smooth_shading=True
+                    )
 
                 elif type(add_stl) is list:
                     for i, key in enumerate(add_stl):
                         surf = self.grid.read_stl(key)
                         if type(stl_colors) is list:
-                            pl.add_mesh(surf, color=stl_colors[i], opacity=stl_opacity, smooth_shading=True)
+                            pl.add_mesh(
+                                surf,
+                                color=stl_colors[i],
+                                opacity=stl_opacity,
+                                smooth_shading=True,
+                            )
                         else:
-                            pl.add_mesh(surf, color=stl_colors, opacity=stl_opacity, smooth_shading=True)
+                            pl.add_mesh(
+                                surf,
+                                color=stl_colors,
+                                opacity=stl_opacity,
+                                smooth_shading=True,
+                            )
                 else:
                     key = self.grid.stl_solids.keys()[0]
                     surf = self.grid.read_stl(key)
-                    pl.add_mesh(surf, color=stl_colors, opacity=stl_opacity, smooth_shading=True)
+                    pl.add_mesh(
+                        surf, color=stl_colors, opacity=stl_opacity, smooth_shading=True
+                    )
 
             if camera_position is None:
-                pl.camera_position = 'zx'
+                pl.camera_position = "zx"
                 pl.camera.azimuth += 30
                 pl.camera.elevation += 30
             else:
                 pl.camera_position = camera_position
 
-            pl.set_background('mistyrose', top='white')
+            pl.set_background("mistyrose", top="white")
             self._add_logo_widget(pl)
             pl.camera.zoom(zoom)
             pl.add_axes()
@@ -118,96 +146,141 @@ def plot3D(self, field='E', component='z', clim=None, hide_solids=None,
         else:
             pl = self.pl
 
-
         # Plot field
-        if field == 'E':
-            self.grid.grid.cell_data[field+component] = np.reshape(self.E[:, :, :, component], self.N)
-        elif field == 'H':
-            self.grid.grid.cell_data[field+component] = np.reshape(self.H[:, :, :, component], self.N)
-        elif field == 'J':
-            self.grid.grid.cell_data[field+component] = np.reshape(self.J[:, :, :, component], self.N)
+        if field == "E":
+            self.grid.grid.cell_data[field + component] = np.reshape(
+                self.E[:, :, :, component], self.N
+            )
+        elif field == "H":
+            self.grid.grid.cell_data[field + component] = np.reshape(
+                self.H[:, :, :, component], self.N
+            )
+        elif field == "J":
+            self.grid.grid.cell_data[field + component] = np.reshape(
+                self.J[:, :, :, component], self.N
+            )
         else:
             print("`field` value not valid")
 
-        points = self.grid.grid.cell_data_to_point_data() #interpolate
+        points = self.grid.grid.cell_data_to_point_data()  # interpolate
 
         # Mask the values inside solid to np.nan
         if hide_solids is not None:
-            tol = np.min([self.dx, self.dy, self.dz])*1e-3
+            tol = np.min([self.dx, self.dy, self.dz]) * 1e-3
             if type(hide_solids) is str:
                 surf = self.grid.read_stl(hide_solids)
                 select = self.grid.grid.select_enclosed_points(surf, tolerance=tol)
-                mask = select['SelectedPoints'] > 0
+                mask = select["SelectedPoints"] > 0
 
             elif type(hide_solids) is list:
                 for i, solid in enumerate(hide_solids):
                     surf = self.grid.read_stl(solid)
                     select = self.grid.grid.select_enclosed_points(surf, tolerance=tol)
                     if i == 0:
-                        mask = select['SelectedPoints'] > 0
+                        mask = select["SelectedPoints"] > 0
                     else:
-                        mask += select['SelectedPoints'] > 0
+                        mask += select["SelectedPoints"] > 0
 
-            points[field+component][mask] = np.nan
+            points[field + component][mask] = np.nan
 
         # Mask the values outside solid to np.nan
         if show_solids is not None:
-            tol = np.min([self.dx, self.dy, self.dz])*1e-3
+            tol = np.min([self.dx, self.dy, self.dz]) * 1e-3
             if type(show_solids) is str:
                 surf = self.grid.read_stl(show_solids)
                 select = self.grid.grid.select_enclosed_points(surf, tolerance=tol)
-                mask = select['SelectedPoints'] > 0
+                mask = select["SelectedPoints"] > 0
 
             elif type(show_solids) is list:
                 for solid in show_solids:
                     surf = self.grid.read_stl(solid)
                     select = self.grid.grid.select_enclosed_points(surf, tolerance=tol)
                     if i == 0:
-                        mask = select['SelectedPoints'] > 0
+                        mask = select["SelectedPoints"] > 0
                     else:
-                        mask += select['SelectedPoints'] > 0
+                        mask += select["SelectedPoints"] > 0
 
-            points[field+component][np.logical_not(mask)] = np.nan
+            points[field + component][np.logical_not(mask)] = np.nan
 
         # Clip a rectangle of the domain
         if clip_box:
             if clip_bounds is None:
-                Lx, Ly = (self.grid.xmax-self.grid.xmin), (self.grid.ymax-self.grid.ymin)
-                clip_bounds = [self.grid.xmax-Lx/2, self.grid.xmax,
-                               self.grid.ymax-Ly/2, self.grid.ymax,
-                               self.grid.zmin, self.grid.zmax]
-
-            ac1 = pl.add_mesh(points.clip_box(bounds=clip_bounds), opacity=nan_opacity,
-                              scalars=field+component, cmap=cmap, clim=clim)
+                Lx, Ly = (
+                    (self.grid.xmax - self.grid.xmin),
+                    (self.grid.ymax - self.grid.ymin),
+                )
+                clip_bounds = [
+                    self.grid.xmax - Lx / 2,
+                    self.grid.xmax,
+                    self.grid.ymax - Ly / 2,
+                    self.grid.ymax,
+                    self.grid.zmin,
+                    self.grid.zmax,
+                ]
+
+            ac1 = pl.add_mesh(
+                points.clip_box(bounds=clip_bounds),
+                opacity=nan_opacity,
+                scalars=field + component,
+                cmap=cmap,
+                clim=clim,
+            )
 
         # Enable an interactive widget to clip out part of the domain with a plane, with clip_normal
         elif clip_interactive:
-            ac1 = pl.add_mesh_clip_plane(points, normal=clip_normal, opacity=1.0,
-                                         scalars=field+component, cmap=cmap, clim=clim,
-                                         normal_rotation=False, nan_opacity=nan_opacity)
+            ac1 = pl.add_mesh_clip_plane(
+                points,
+                normal=clip_normal,
+                opacity=1.0,
+                scalars=field + component,
+                cmap=cmap,
+                clim=clim,
+                normal_rotation=False,
+                nan_opacity=nan_opacity,
+            )
         else:
-            print('Plotting option inconsistent')
+            print("Plotting option inconsistent")
 
         # Save
         if n is not None:
-            pl.add_title(field+component+f' field, timestep={n}', font='times', font_size=12)
-            title += '_'+str(n).zfill(6)
+            pl.add_title(
+                field + component + f" field, timestep={n}", font="times", font_size=12
+            )
+            title += "_" + str(n).zfill(6)
         if off_screen:
-            pl.screenshot(title+'.png')
+            pl.screenshot(title + ".png")
             pl.remove_actor(ac1)
             self.pl = pl
         else:
             pl.show(full_screen=False)
 
-    def plot3DonSTL(self, field='E', component='z', clim=None, cmap='jet', log_scale=False,
-                    stl_with_field=None, field_opacity=1.0, tolerance=None,
-                    stl_transparent=None, stl_opacity=0.1, stl_colors='white',
-                    clip_plane = False, clip_interactive=False,
-                    clip_normal='-x', clip_origin=[0,0,0],
-                    clip_box=False, clip_bounds=None,
-                    title=None, off_screen=False, n=None,
-                    zoom=0.5, camera_position=None, **kwargs):
-        '''
+    def plot3DonSTL(
+        self,
+        field="E",
+        component="z",
+        clim=None,
+        cmap="jet",
+        log_scale=False,
+        stl_with_field=None,
+        field_opacity=1.0,
+        tolerance=None,
+        stl_transparent=None,
+        stl_opacity=0.1,
+        stl_colors="white",
+        clip_plane=False,
+        clip_interactive=False,
+        clip_normal="-x",
+        clip_origin=[0, 0, 0],
+        clip_box=False,
+        clip_bounds=None,
+        title=None,
+        off_screen=False,
+        n=None,
+        zoom=0.5,
+        camera_position=None,
+        **kwargs,
+    ):
+        """
         Built-in 3D plotting using PyVista
 
         Parameters:
@@ -259,24 +332,24 @@ def plot3DonSTL(self, field='E', component='z', clim=None, cmap='jet', log_scale
         **kwargs: optional
             PyVista's add_mesh optional arguments:
             https://docs.pyvista.org/api/plotting/_autosummary/pyvista.plotter.add_mesh
-        '''
+        """
         if self.use_mpi:
-            print('[!] plot3D is not supported when `use_mpi=True`')
+            print("[!] plot3D is not supported when `use_mpi=True`")
             return
 
-        if len(field) == 2: #support for e.g. field='Ex'
+        if len(field) == 2:  # support for e.g. field='Ex'
             component = field[1]
             field = field[0]
 
         if title is None:
-            title = field + component +'3d'
+            title = field + component + "3d"
 
         if self.plotter_active and not off_screen:
             self.plotter_active = False
 
         if not self.plotter_active:
-            pl = pv.Plotter(off_screen=off_screen, lighting='none')
-            light = pv.Light(light_type='headlight')
+            pl = pv.Plotter(off_screen=off_screen, lighting="none")
+            light = pv.Light(light_type="headlight")
             pl.add_light(light)
 
             # Plot stl surface(s)
@@ -284,15 +357,27 @@ def plot3DonSTL(self, field='E', component='z', clim=None, cmap='jet', log_scale
                 if type(stl_transparent) is str:
                     key = stl_transparent
                     surf = self.grid.read_stl(key)
-                    pl.add_mesh(surf, color=stl_colors, opacity=stl_opacity, smooth_shading=True)
+                    pl.add_mesh(
+                        surf, color=stl_colors, opacity=stl_opacity, smooth_shading=True
+                    )
 
                 elif type(stl_transparent) is list:
                     for i, key in enumerate(stl_transparent):
                         surf = self.grid.read_stl(key)
                         if type(stl_colors) is list:
-                            pl.add_mesh(surf, color=stl_colors[i], opacity=stl_opacity, smooth_shading=True)
+                            pl.add_mesh(
+                                surf,
+                                color=stl_colors[i],
+                                opacity=stl_opacity,
+                                smooth_shading=True,
+                            )
                         else:
-                            pl.add_mesh(surf, color=stl_colors, opacity=stl_opacity, smooth_shading=True)
+                            pl.add_mesh(
+                                surf,
+                                color=stl_colors,
+                                opacity=stl_opacity,
+                                smooth_shading=True,
+                            )
 
             if off_screen:
                 self.plotter_active = True
@@ -300,18 +385,24 @@ def plot3DonSTL(self, field='E', component='z', clim=None, cmap='jet', log_scale
             pl = self.pl
 
         # Plot field
-        if field == 'E':
-            self.grid.grid.cell_data[field+component] = np.reshape(self.E[:, :, :, component], self.N)
-
-        elif field == 'H':
-            self.grid.grid.cell_data[field+component] = np.reshape(self.H[:, :, :, component], self.N)
-
-        elif field == 'J':
-            self.grid.grid.cell_data[field+component] = np.reshape(self.J[:, :, :, component], self.N)
+        if field == "E":
+            self.grid.grid.cell_data[field + component] = np.reshape(
+                self.E[:, :, :, component], self.N
+            )
+
+        elif field == "H":
+            self.grid.grid.cell_data[field + component] = np.reshape(
+                self.H[:, :, :, component], self.N
+            )
+
+        elif field == "J":
+            self.grid.grid.cell_data[field + component] = np.reshape(
+                self.J[:, :, :, component], self.N
+            )
         else:
             print("`field` value not valid")
 
-        points = self.grid.grid.cell_data_to_point_data() #interpolate
+        points = self.grid.grid.cell_data_to_point_data()  # interpolate
 
         # Interpolate fields on stl
         if stl_with_field is not None:
@@ -320,97 +411,171 @@ def plot3DonSTL(self, field='E', component='z', clim=None, cmap='jet', log_scale
                 surf = self.grid.read_stl(key)
                 if clip_plane:
                     try:
-                        surf = surf.clip_closed_surface(normal=clip_normal, origin=clip_origin).subdivide_adaptive(max_edge_len=3*self.dz)
+                        surf = surf.clip_closed_surface(
+                            normal=clip_normal, origin=clip_origin
+                        ).subdivide_adaptive(max_edge_len=3 * self.dz)
                     except Exception:
                         print("[!] Surface non-manifold, clip with plane skipped")
 
                 fieldonsurf = surf.sample(points, tolerance=tolerance)
 
-                if clip_interactive: # interactive plotting with a plane
-                    ac1 = pl.add_mesh_clip_plane(fieldonsurf, normal=clip_normal, normal_rotation=False,
-                                        scalars=field+component, opacity=field_opacity,
-                                        cmap=cmap, clim=clim, log_scale=log_scale,
-                                        **kwargs)
-
-                elif clip_box: # Clip a rectangle of the domain
+                if clip_interactive:  # interactive plotting with a plane
+                    ac1 = pl.add_mesh_clip_plane(
+                        fieldonsurf,
+                        normal=clip_normal,
+                        normal_rotation=False,
+                        scalars=field + component,
+                        opacity=field_opacity,
+                        cmap=cmap,
+                        clim=clim,
+                        log_scale=log_scale,
+                        **kwargs,
+                    )
+
+                elif clip_box:  # Clip a rectangle of the domain
                     if clip_bounds is None:
-                        Lx, Ly = (self.grid.xmax-self.grid.xmin), (self.grid.ymax-self.grid.ymin)
-                        clip_bounds = [self.grid.xmax-Lx/2, self.grid.xmax,
-                                    self.grid.ymax-Ly/2, self.grid.ymax,
-                                    self.grid.zmin, self.grid.zmax]
-
-                    ac1 = pl.add_mesh(fieldonsurf.clip_box(bounds=clip_bounds), cmap=cmap, clim=clim,
-                                  scalars=field+component, opacity=field_opacity,
-                                  log_scale=log_scale,
-                                  **kwargs)
+                        Lx, Ly = (
+                            (self.grid.xmax - self.grid.xmin),
+                            (self.grid.ymax - self.grid.ymin),
+                        )
+                        clip_bounds = [
+                            self.grid.xmax - Lx / 2,
+                            self.grid.xmax,
+                            self.grid.ymax - Ly / 2,
+                            self.grid.ymax,
+                            self.grid.zmin,
+                            self.grid.zmax,
+                        ]
+
+                    ac1 = pl.add_mesh(
+                        fieldonsurf.clip_box(bounds=clip_bounds),
+                        cmap=cmap,
+                        clim=clim,
+                        scalars=field + component,
+                        opacity=field_opacity,
+                        log_scale=log_scale,
+                        **kwargs,
+                    )
 
                 else:
-                    ac1 = pl.add_mesh(fieldonsurf, cmap=cmap, clim=clim,
-                                  scalars=field+component, opacity=field_opacity,
-                                  log_scale=log_scale,
-                                  **kwargs)
+                    ac1 = pl.add_mesh(
+                        fieldonsurf,
+                        cmap=cmap,
+                        clim=clim,
+                        scalars=field + component,
+                        opacity=field_opacity,
+                        log_scale=log_scale,
+                        **kwargs,
+                    )
 
             elif type(stl_with_field) is list:
                 for i, key in enumerate(stl_with_field):
                     surf = self.grid.read_stl(key)
                     if clip_plane:
                         try:
-                            surf = surf.clip_closed_surface(normal=clip_normal, origin=clip_origin)
+                            surf = surf.clip_closed_surface(
+                                normal=clip_normal, origin=clip_origin
+                            )
                         except Exception:
                             print("Surface non-manifold, clip with plane skipped")
 
                     fieldonsurf = surf.sample(points, tolerance=tolerance)
 
-                    if clip_interactive: # interactive plotting with a plane
-                        ac1 = pl.add_mesh_clip_plane(fieldonsurf, normal=clip_normal, normal_rotation=False,
-                                        scalars=field+component, opacity=field_opacity,
-                                        cmap=cmap, clim=clim, log_scale=log_scale,
-                                        **kwargs)
-                    elif clip_box: # Clip a rectangle of the domain
+                    if clip_interactive:  # interactive plotting with a plane
+                        ac1 = pl.add_mesh_clip_plane(
+                            fieldonsurf,
+                            normal=clip_normal,
+                            normal_rotation=False,
+                            scalars=field + component,
+                            opacity=field_opacity,
+                            cmap=cmap,
+                            clim=clim,
+                            log_scale=log_scale,
+                            **kwargs,
+                        )
+                    elif clip_box:  # Clip a rectangle of the domain
                         if clip_bounds is None:
-                            Lx, Ly = (self.grid.xmax-self.grid.xmin), (self.grid.ymax-self.grid.ymin)
-                            clip_bounds = [self.grid.xmax-Lx/2, self.grid.xmax,
-                                        self.grid.ymax-Ly/2, self.grid.ymax,
-                                        self.grid.zmin, self.grid.zmax]
-                        ac1 = pl.add_mesh(fieldonsurf.clip_box(bounds=clip_bounds), cmap=cmap, clim=clim,
-                                  scalars=field+component, opacity=field_opacity,
-                                  log_scale=log_scale, **kwargs)
+                            Lx, Ly = (
+                                (self.grid.xmax - self.grid.xmin),
+                                (self.grid.ymax - self.grid.ymin),
+                            )
+                            clip_bounds = [
+                                self.grid.xmax - Lx / 2,
+                                self.grid.xmax,
+                                self.grid.ymax - Ly / 2,
+                                self.grid.ymax,
+                                self.grid.zmin,
+                                self.grid.zmax,
+                            ]
+                        ac1 = pl.add_mesh(
+                            fieldonsurf.clip_box(bounds=clip_bounds),
+                            cmap=cmap,
+                            clim=clim,
+                            scalars=field + component,
+                            opacity=field_opacity,
+                            log_scale=log_scale,
+                            **kwargs,
+                        )
                     else:
-                        ac1 = pl.add_mesh(fieldonsurf, cmap=cmap, clim=clim,
-                                      scalars=field+component, opacity=field_opacity,
-                                      log_scale=log_scale,
-                                      **kwargs)
+                        ac1 = pl.add_mesh(
+                            fieldonsurf,
+                            cmap=cmap,
+                            clim=clim,
+                            scalars=field + component,
+                            opacity=field_opacity,
+                            log_scale=log_scale,
+                            **kwargs,
+                        )
         if camera_position is None:
-            pl.camera_position = 'zx'
+            pl.camera_position = "zx"
             pl.camera.azimuth += 30
             pl.camera.elevation += 30
         else:
             pl.camera_position = camera_position
 
-        pl.set_background('mistyrose', top='white')
+        pl.set_background("mistyrose", top="white")
         self._add_logo_widget(pl)
         pl.camera.zoom(zoom)
         pl.add_axes()
         pl.enable_anti_aliasing()
-        #pl.enable_3_lights()
+        # pl.enable_3_lights()
 
         if n is not None:
-            pl.add_title(field+component+f' field, timestep={n}', font='times', font_size=12)
-            title += '_'+str(n).zfill(6)
+            pl.add_title(
+                field + component + f" field, timestep={n}", font="times", font_size=12
+            )
+            title += "_" + str(n).zfill(6)
 
         # Save
         if off_screen:
-            pl.screenshot(title+'.png')
+            pl.screenshot(title + ".png")
             pl.remove_actor(ac1)
             self.pl = pl
         else:
             pl.show(full_screen=False)
 
-    def plot2D(self, field='E', component='z', plane='ZY', pos=0.5, norm=None,
-               vmin=None, vmax=None, figsize=[8,4], cmap='jet', patch_alpha=0.1,
-               patch_reverse=False, add_patch=False, title=None, off_screen=False,
-               n=None, interpolation='antialiased', dpi=100, return_handles=False):
-        '''
+    def plot2D(
+        self,
+        field="E",
+        component="z",
+        plane="ZY",
+        pos=0.5,
+        norm=None,
+        vmin=None,
+        vmax=None,
+        figsize=[8, 4],
+        cmap="jet",
+        patch_alpha=0.1,
+        patch_reverse=False,
+        add_patch=False,
+        title=None,
+        off_screen=False,
+        n=None,
+        interpolation="antialiased",
+        dpi=100,
+        return_handles=False,
+    ):
+        """
         Built-in 2D plotting of a field slice using matplotlib
 
         Parameters:
@@ -453,7 +618,7 @@ def plot2D(self, field='E', component='z', plane='ZY', pos=0.5, norm=None,
         interpolation: str, default 'antialiased'
             Interpolation method to pass to matplotlib imshow e.g., 'none',
             'antialiased', 'nearest', 'bilinear', 'bicubic', 'spline16', 'spline36',
-        '''
+        """
         from mpl_toolkits.axes_grid1 import make_axes_locatable
 
         Nx, Ny, Nz = self.Nx, self.Ny, self.Nz
@@ -468,80 +633,103 @@ def plot2D(self, field='E', component='z', plane='ZY', pos=0.5, norm=None,
             _z = self.grid.Z
 
         if type(field) is str:
-            if len(field) == 2: #support for e.g. field='Ex'
+            if len(field) == 2:  # support for e.g. field='Ex'
                 component = field[1]
                 field = field[0]
-            elif len(field) == 4: #support for e.g. field='EAbs'
+            elif len(field) == 4:  # support for e.g. field='EAbs'
                 component = field[1:]
                 field = field[0]
 
         if title is None:
-            title = field + component +'2d'
+            title = field + component + "2d"
 
         if type(plane) is not str and len(plane) == 3:
             x, y, z = plane[0], plane[1], plane[2]
 
             if type(plane[2]) is int:
-                cut = f'(x,y,a) a={round(self.z[z],3)}'
-                xax, yax = 'y', 'x'
-                extent = [self.y[y].min(), self.y[y].max(),
-                          self.x[x].min(), self.x[x].max()]
+                cut = f"(x,y,a) a={round(self.z[z], 3)}"
+                xax, yax = "y", "x"
+                extent = [
+                    self.y[y].min(),
+                    self.y[y].max(),
+                    self.x[x].min(),
+                    self.x[x].max(),
+                ]
 
             if type(plane[0]) is int:
-                cut = f'(a,y,z) a={round(self.x[x],3)}'
-                xax, yax = 'z', 'y'
-                extent = [_z[z].min(), _z[z].max(),
-                          self.y[y].min(), self.y[y].max()]
+                cut = f"(a,y,z) a={round(self.x[x], 3)}"
+                xax, yax = "z", "y"
+                extent = [_z[z].min(), _z[z].max(), self.y[y].min(), self.y[y].max()]
 
             if type(plane[1]) is int:
-                cut = f'(x,a,z) a={round(self.y[y],3)}'
-                xax, yax = 'z', 'x'
-                extent = [_z[z].min(), _z[z].max(),
-                          self.x[x].min(), self.x[x].max()]
-
-        elif plane == 'XY':
-            x, y, z = slice(0,Nx), slice(0,Ny), int(Nz*pos) #plane XY
-            cut = f'(x,y,a) a={round(pos*(zmax-zmin)+zmin,3)}'
-            xax, yax = 'y', 'x'
+                cut = f"(x,a,z) a={round(self.y[y], 3)}"
+                xax, yax = "z", "x"
+                extent = [_z[z].min(), _z[z].max(), self.x[x].min(), self.x[x].max()]
+
+        elif plane == "XY":
+            x, y, z = slice(0, Nx), slice(0, Ny), int(Nz * pos)  # plane XY
+            cut = f"(x,y,a) a={round(pos * (zmax - zmin) + zmin, 3)}"
+            xax, yax = "y", "x"
             extent = [ymin, ymax, xmin, xmax]
 
-        elif plane == 'ZY' or plane == 'YZ':
-            x, y, z = int(Nx*pos), slice(0,Ny), slice(0,Nz) #plane ZY
-            cut = f'(a,y,z) a={round(pos*(xmax-xmin)+xmin,3)}'
-            xax, yax = 'z', 'y'
+        elif plane == "ZY" or plane == "YZ":
+            x, y, z = int(Nx * pos), slice(0, Ny), slice(0, Nz)  # plane ZY
+            cut = f"(a,y,z) a={round(pos * (xmax - xmin) + xmin, 3)}"
+            xax, yax = "z", "y"
             extent = [zmin, zmax, ymin, ymax]
 
-        elif plane == 'ZX' or plane == 'XZ':
-            x, y, z = slice(0,Nx),  int(Ny*pos), slice(0,Nz) #plane XZ
-            cut = f'(x,a,z) a={round(pos*(ymax-ymin)+ymin,3)}'
-            xax, yax = 'z', 'x'
+        elif plane == "ZX" or plane == "XZ":
+            x, y, z = slice(0, Nx), int(Ny * pos), slice(0, Nz)  # plane XZ
+            cut = f"(x,a,z) a={round(pos * (ymax - ymin) + ymin, 3)}"
+            xax, yax = "z", "x"
             extent = [zmin, zmax, xmin, xmax]
 
         else:
-            print("Plane needs to be an array of slices [x,y,z] or a str 'XY', 'ZY', 'ZX'")
+            print(
+                "Plane needs to be an array of slices [x,y,z] or a str 'XY', 'ZY', 'ZX'"
+            )
 
-        if self.use_mpi: # only in rank=0
+        if self.use_mpi:  # only in rank=0
             _field = self.mpi_gather(field, x=x, y=y, z=z, component=component)
 
             if self.rank == 0:
-                fig, ax = plt.subplots(1,1, figsize=figsize, dpi=dpi)
-                im = ax.imshow(_field, cmap=cmap,  norm=norm,
-                    extent=extent, origin='lower', vmin=vmin, vmax=vmax,
-                    interpolation=interpolation)
-
-                fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-                ax.set_title(f'Wakis {field}{component}{cut}')
+                fig, ax = plt.subplots(1, 1, figsize=figsize, dpi=dpi)
+                im = ax.imshow(
+                    _field,
+                    cmap=cmap,
+                    norm=norm,
+                    extent=extent,
+                    origin="lower",
+                    vmin=vmin,
+                    vmax=vmax,
+                    interpolation=interpolation,
+                )
+
+                fig.colorbar(
+                    im,
+                    cax=make_axes_locatable(ax).append_axes(
+                        "right", size="5%", pad=0.05
+                    ),
+                )
+                ax.set_title(f"Wakis {field}{component}{cut}")
                 ax.set_xlabel(xax)
                 ax.set_ylabel(yax)
 
                 if n is not None:
-                    fig.suptitle('$'+str(field)+'_{'+str(component)+'}$ field, timestep='+str(n))
-                    title += '_'+str(n).zfill(6)
+                    fig.suptitle(
+                        "$"
+                        + str(field)
+                        + "_{"
+                        + str(component)
+                        + "}$ field, timestep="
+                        + str(n)
+                    )
+                    title += "_" + str(n).zfill(6)
 
                 fig.tight_layout()
 
                 if off_screen:
-                    fig.savefig(title+'.png')
+                    fig.savefig(title + ".png")
                     plt.clf()
                     plt.close(fig)
                 elif return_handles:
@@ -549,20 +737,30 @@ def plot2D(self, field='E', component='z', plane='ZY', pos=0.5, norm=None,
                 else:
                     plt.show(block=False)
         else:
-            fig, ax = plt.subplots(1,1, figsize=figsize, dpi=dpi)
-            if field == 'E':
+            fig, ax = plt.subplots(1, 1, figsize=figsize, dpi=dpi)
+            if field == "E":
                 _field = self.E[x, y, z, component]
-            if field == 'H':
+            if field == "H":
                 _field = self.H[x, y, z, component]
-            if field == 'J':
+            if field == "J":
                 _field = self.J[x, y, z, component]
 
-            im = ax.imshow(_field, cmap=cmap,  norm=norm,
-                            extent=extent, origin='lower', vmin=vmin, vmax=vmax,
-                            interpolation=interpolation)
-
-            fig.colorbar(im, cax=make_axes_locatable(ax).append_axes('right', size='5%', pad=0.05))
-            ax.set_title(f'Wakis {field}{component}{cut}')
+            im = ax.imshow(
+                _field,
+                cmap=cmap,
+                norm=norm,
+                extent=extent,
+                origin="lower",
+                vmin=vmin,
+                vmax=vmax,
+                interpolation=interpolation,
+            )
+
+            fig.colorbar(
+                im,
+                cax=make_axes_locatable(ax).append_axes("right", size="5%", pad=0.05),
+            )
+            ax.set_title(f"Wakis {field}{component}{cut}")
             ax.set_xlabel(xax)
             ax.set_ylabel(yax)
 
@@ -575,7 +773,13 @@ def plot2D(self, field='E', component='z', plane='ZY', pos=0.5, norm=None,
                         patch[mask] = np.nan
                     else:
                         patch[np.logical_not(mask)] = np.nan
-                    ax.imshow(patch[x,y,z], cmap='Greys', extent=extent, origin='lower', alpha=patch_alpha)
+                    ax.imshow(
+                        patch[x, y, z],
+                        cmap="Greys",
+                        extent=extent,
+                        origin="lower",
+                        alpha=patch_alpha,
+                    )
 
                 elif type(add_patch) is list:
                     for solid in add_patch:
@@ -585,16 +789,29 @@ def plot2D(self, field='E', component='z', plane='ZY', pos=0.5, norm=None,
                             patch[mask] = np.nan
                         else:
                             patch[np.logical_not(mask)] = np.nan
-                        ax.imshow(patch[x,y,z], cmap='Greys', extent=extent, origin='lower', alpha=patch_alpha)
+                        ax.imshow(
+                            patch[x, y, z],
+                            cmap="Greys",
+                            extent=extent,
+                            origin="lower",
+                            alpha=patch_alpha,
+                        )
 
             if n is not None:
-                fig.suptitle('$'+str(field)+'_{'+str(component)+'}$ field, timestep='+str(n))
-                title += '_'+str(n).zfill(6)
+                fig.suptitle(
+                    "$"
+                    + str(field)
+                    + "_{"
+                    + str(component)
+                    + "}$ field, timestep="
+                    + str(n)
+                )
+                title += "_" + str(n).zfill(6)
 
             fig.tight_layout()
 
             if off_screen:
-                fig.savefig(title+'.png')
+                fig.savefig(title + ".png")
                 plt.clf()
                 plt.close(fig)
             elif return_handles:
@@ -602,11 +819,24 @@ def plot2D(self, field='E', component='z', plane='ZY', pos=0.5, norm=None,
             else:
                 plt.show(block=False)
 
-    def plot1D(self, field='E', component='z', line='z', pos=[0.5],
-               xscale='linear', yscale='linear', xlim=None, ylim=None,
-               figsize=[8,4], title=None, off_screen=False, n=None,
-               colors=None, **kwargs):
-        '''
+    def plot1D(
+        self,
+        field="E",
+        component="z",
+        line="z",
+        pos=[0.5],
+        xscale="linear",
+        yscale="linear",
+        xlim=None,
+        ylim=None,
+        figsize=[8, 4],
+        title=None,
+        off_screen=False,
+        n=None,
+        colors=None,
+        **kwargs,
+    ):
+        """
         Built-in 1D plotting of a field line using matplotlib
 
         Parameters:
@@ -644,7 +874,7 @@ def plot1D(self, field='E', component='z', line='z', pos=[0.5],
             Keyword arguments to be passed to the `matplotlib.plot` function.
             Default kwargs used:
                 kwargs = {'color':'g', 'lw':1.2, 'ls':'-'}
-        '''
+        """
         Nx, Ny, Nz = self.Nx, self.Ny, self.Nz
         xmin, xmax = self.grid.xmin, self.grid.xmax
         ymin, ymax = self.grid.ymin, self.grid.ymax
@@ -656,106 +886,125 @@ def plot1D(self, field='E', component='z', line='z', pos=[0.5],
             Nz = self.grid.NZ
             _z = self.grid.Z
             if self.rank == 0:
-                fig, ax = plt.subplots(1,1, figsize=figsize)
+                fig, ax = plt.subplots(1, 1, figsize=figsize)
         else:
-            fig, ax = plt.subplots(1,1, figsize=figsize)
-
+            fig, ax = plt.subplots(1, 1, figsize=figsize)
 
-        plotkw = {'lw':1.2, 'ls':'-'}
+        plotkw = {"lw": 1.2, "ls": "-"}
 
         if colors is None:
-            colors = ['k', 'tab:red', 'tab:blue', 'tab:green',
-                    'tab:orange', 'tab:purple', 'tab:pink']
+            colors = [
+                "k",
+                "tab:red",
+                "tab:blue",
+                "tab:green",
+                "tab:orange",
+                "tab:purple",
+                "tab:pink",
+            ]
         plotkw.update(kwargs)
 
-        if len(field) == 2: #support for e.g. field='Ex'
+        if len(field) == 2:  # support for e.g. field='Ex'
             component = field[1]
             field = field[0]
 
         if title is None:
-            title = field + component +'1d'
+            title = field + component + "1d"
 
-        if type(pos) is not list: #support for a list of cut positions
+        if type(pos) is not list:  # support for a list of cut positions
             pos_arr = [pos]
         else:
             pos_arr = pos
 
         for i, pos in enumerate(pos_arr):
-
             if type(line) is not str and len(line) == 3:
                 x, y, z = line[0], line[1], line[2]
 
-                #z-axis
+                # z-axis
                 if type(line[2]) is slice:
-                    cut = f'(a,b,z) a={round(self.x[x],3)}, b={round(self.y[y],3)}'
-                    xax = 'z'
+                    cut = f"(a,b,z) a={round(self.x[x], 3)}, b={round(self.y[y], 3)}"
+                    xax = "z"
                     xx = _z[z]
                     xlims = (_z[z].min(), _z[z].max())
 
-                #x-axis
+                # x-axis
                 elif type(line[0]) is slice:
-                    cut = f'(x,a,b) a={round(self.y[y],3)}, b={round(_z[z],3)}'
-                    xax = 'x'
+                    cut = f"(x,a,b) a={round(self.y[y], 3)}, b={round(_z[z], 3)}"
+                    xax = "x"
                     xx = self.x[x]
                     xlims = (self.x[x].min(), self.x[x].max())
 
-                #y-axis
+                # y-axis
                 elif type(line[1]) is slice:
-                    cut = f'(a,y,b) a={round(self.x[x],3)}, b={round(_z[z],3)}'
-                    xax = 'y'
+                    cut = f"(a,y,b) a={round(self.x[x], 3)}, b={round(_z[z], 3)}"
+                    xax = "y"
                     xx = self.y[y]
                     xlims = (self.y[y].min(), self.y[y].max())
 
-            elif line.lower() == 'x':
-                x, y, z = slice(0,Nx), int(Ny*pos), int(Nz*pos) #x-axis
-                cut = f'(x,a,b) a={round(self.y[y],3)}, b={round(_z[z],3)}'
-                xax = 'x'
+            elif line.lower() == "x":
+                x, y, z = slice(0, Nx), int(Ny * pos), int(Nz * pos)  # x-axis
+                cut = f"(x,a,b) a={round(self.y[y], 3)}, b={round(_z[z], 3)}"
+                xax = "x"
                 xx = self.x[x]
                 xlims = (xmin, xmax)
 
-            elif line.lower() == 'y':
-                x, y, z = int(Nx*pos), slice(0,Ny), int(Nz*pos) #y-axis
-                cut = f'(a,y,b) a={round(self.x[x],3)}, b={round(_z[z],3)}'
-                xax = 'y'
+            elif line.lower() == "y":
+                x, y, z = int(Nx * pos), slice(0, Ny), int(Nz * pos)  # y-axis
+                cut = f"(a,y,b) a={round(self.x[x], 3)}, b={round(_z[z], 3)}"
+                xax = "y"
                 xx = self.y[y]
                 xlims = (ymin, ymax)
 
-            elif line.lower() == 'z':
-                x, y, z = int(Nx*pos), int(Ny*pos), slice(0,Nz) #z-axis
-                cut = f'(a,b,z) a={round(self.x[x],3)}, b={round(self.y[y],3)}'
-                xax = 'z'
+            elif line.lower() == "z":
+                x, y, z = int(Nx * pos), int(Ny * pos), slice(0, Nz)  # z-axis
+                cut = f"(a,b,z) a={round(self.x[x], 3)}, b={round(self.y[y], 3)}"
+                xax = "z"
                 xx = _z[z]
                 xlims = (zmin, zmax)
 
             else:
-                print("line needs to be an array of slices [x,y,z] or a str 'x', 'y', 'z'")
+                print(
+                    "line needs to be an array of slices [x,y,z] or a str 'x', 'y', 'z'"
+                )
 
-            if i == 0: # first one on top
+            if i == 0:  # first one on top
                 zorder = 10
             else:
                 zorder = i
 
-            if self.use_mpi: # only in rank=0
+            if self.use_mpi:  # only in rank=0
                 _field = self.mpi_gather(field, x=x, y=y, z=z, component=component)
 
                 if self.rank == 0:
-                    ax.plot(xx, _field, color=colors[i], zorder=zorder,
-                            label=f'{field}{component}{cut}', **plotkw)
+                    ax.plot(
+                        xx,
+                        _field,
+                        color=colors[i],
+                        zorder=zorder,
+                        label=f"{field}{component}{cut}",
+                        **plotkw,
+                    )
             else:
-                if field == 'E':
+                if field == "E":
                     _field = self.E[x, y, z, component]
-                if field == 'H':
+                if field == "H":
                     _field = self.H[x, y, z, component]
-                if field == 'J':
+                if field == "J":
                     _field = self.J[x, y, z, component]
 
-                ax.plot(xx, _field, color=colors[i], zorder=zorder,
-                    label=f'{field}{component}{cut}', **plotkw)
+                ax.plot(
+                    xx,
+                    _field,
+                    color=colors[i],
+                    zorder=zorder,
+                    label=f"{field}{component}{cut}",
+                    **plotkw,
+                )
 
         if not self.use_mpi:
-            yax = f'{field}{component} amplitude'
+            yax = f"{field}{component} amplitude"
 
-            ax.set_title(f'Wakis {field}{component}'+(len(pos_arr)==1)*f'{cut}')
+            ax.set_title(f"Wakis {field}{component}" + (len(pos_arr) == 1) * f"{cut}")
             ax.set_xlabel(xax)
             ax.set_ylabel(yax, color=colors[0])
             ax.set_xlim(xlims)
@@ -772,13 +1021,15 @@ def plot1D(self, field='E', component='z', line='z', pos=[0.5],
                 ax.set_ylim(ylim)
 
             if n is not None:
-                fig.suptitle('$'+field+'_{'+component+'}$ field, timestep='+str(n))
-                title += '_'+str(n).zfill(6)
+                fig.suptitle(
+                    "$" + field + "_{" + component + "}$ field, timestep=" + str(n)
+                )
+                title += "_" + str(n).zfill(6)
 
             fig.tight_layout()
 
             if off_screen:
-                fig.savefig(title+'.png')
+                fig.savefig(title + ".png")
                 plt.clf()
                 plt.close(fig)
 
@@ -786,9 +1037,9 @@ def plot1D(self, field='E', component='z', line='z', pos=[0.5],
                 plt.show()
 
         elif self.use_mpi and self.rank == 0:
-            yax = f'{field}{component} amplitude'
+            yax = f"{field}{component} amplitude"
 
-            ax.set_title(f'Wakis {field}{component}'+(len(pos_arr)==1)*f'{cut}')
+            ax.set_title(f"Wakis {field}{component}" + (len(pos_arr) == 1) * f"{cut}")
             ax.set_xlabel(xax)
             ax.set_ylabel(yax, color=colors[0])
             ax.set_xlim(xlims)
@@ -805,25 +1056,34 @@ def plot1D(self, field='E', component='z', line='z', pos=[0.5],
                 ax.set_ylim(ylim)
 
             if n is not None:
-                fig.suptitle('$'+field+'_{'+component+'}$ field, timestep='+str(n))
-                title += '_'+str(n).zfill(6)
+                fig.suptitle(
+                    "$" + field + "_{" + component + "}$ field, timestep=" + str(n)
+                )
+                title += "_" + str(n).zfill(6)
 
             fig.tight_layout()
 
             if off_screen:
-                fig.savefig(title+'.png')
+                fig.savefig(title + ".png")
                 plt.clf()
                 plt.close(fig)
 
             else:
                 plt.show()
 
-    def inspect(self, wake=None, window_size=None, off_screen=False,
-                opacity=1.0, inactive_opacity=0.1, add_silhouette=False,
-                specular=0.5, smooth_shading=False):
-
+    def inspect(
+        self,
+        wake=None,
+        window_size=None,
+        off_screen=False,
+        opacity=1.0,
+        inactive_opacity=0.1,
+        add_silhouette=False,
+        specular=0.5,
+        smooth_shading=False,
+    ):
         if self.use_mpi:
-            print('[!] plot3D is not supported when `use_mpi=True`')
+            print("[!] plot3D is not supported when `use_mpi=True`")
             return
         if wake is not None:
             self.wake = wake
@@ -834,9 +1094,15 @@ def inspect(self, wake=None, window_size=None, off_screen=False,
         for key, path in self.stl_solids.items():
             surf = self.grid.read_stl(key)
             color = self.stl_colors.get(key, "lightgray")
-            actor = pl.add_mesh(surf, color=color, name=key,
-                                opacity=inactive_opacity, silhouette=False,
-                                smooth_shading=smooth_shading, specular=specular)
+            actor = pl.add_mesh(
+                surf,
+                color=color,
+                name=key,
+                opacity=inactive_opacity,
+                silhouette=False,
+                smooth_shading=smooth_shading,
+                specular=specular,
+            )
             sil = None
             if add_silhouette:
                 sil = pl.add_silhouette(surf, color="black", line_width=3.0)
@@ -863,8 +1129,9 @@ def inspect(self, wake=None, window_size=None, off_screen=False,
         cy = h // 2
 
         # checkboxes callbacks for solids and master (all On/Off)
-        color_on = 'green'
-        color_off = 'white'
+        color_on = "green"
+        color_off = "white"
+
         def apply(state):
             if state["highlight"]:
                 state["actor"].GetProperty().SetOpacity(state["active_opacity"])
@@ -881,9 +1148,11 @@ def _cb(v):
                 s["checked"] = bool(v)
                 s["highlight"] = s["checked"]
                 apply(s)
+
             return _cb
 
         master_on = True
+
         def master_cb(v):
             nonlocal master_on
             master_on = bool(v)
@@ -897,20 +1166,29 @@ def master_cb(v):
                         rep.SetState(1 if master_on else 0)
                 apply(s)
 
-        pl.add_checkbox_button_widget(master_cb, value=False,
-                                    color_on=color_on, color_off=color_off,
-                                    position=(cx, cy), size=box)
+        pl.add_checkbox_button_widget(
+            master_cb,
+            value=False,
+            color_on=color_on,
+            color_off=color_off,
+            position=(cx, cy),
+            size=box,
+        )
         pl.add_text("All on", position=(cx + box + pad, cy), font_size=font)
 
         for i, name in enumerate(solid_state):
             y = cy - (i + 2) * dy
             _color_on = self.stl_colors.get(name, color_on)
-            if str(_color_on) == 'white' or list(_color_on) == [1.0, 1.0, 1.0]:
-                _color_on = 'gray'
-            btn = pl.add_checkbox_button_widget(make_cb(name), value=False,
-                                                color_on=_color_on,
-                                                color_off=color_off,
-                                                position=(cx, y), size=box)
+            if str(_color_on) == "white" or list(_color_on) == [1.0, 1.0, 1.0]:
+                _color_on = "gray"
+            btn = pl.add_checkbox_button_widget(
+                make_cb(name),
+                value=False,
+                color_on=_color_on,
+                color_off=color_off,
+                position=(cx, y),
+                size=box,
+            )
             solid_state[name]["button"] = btn
             pl.add_text(name, position=(cx + box + pad, y), font_size=font)
 
@@ -918,16 +1196,28 @@ def master_cb(v):
         if self.wake is not None:
             z_center = 0.5 * (self.grid.zmin + self.grid.zmax)
             z_height = self.grid.zmax - self.grid.zmin
-            radius = 0.005 * max(self.grid.xmax-self.grid.xmin, self.grid.ymax-self.grid.ymin)
-
-            beam = pv.Cylinder(center=(self.wake.xsource, self.wake.ysource, z_center),
-                              direction=(0, 0, 1), height=z_height, radius=radius*1.1)
-            path = pv.Cylinder(center=(self.wake.xtest, self.wake.ytest, z_center),
-                               direction=(0, 0, 1), height=z_height, radius=radius)
+            radius = 0.005 * max(
+                self.grid.xmax - self.grid.xmin, self.grid.ymax - self.grid.ymin
+            )
+
+            beam = pv.Cylinder(
+                center=(self.wake.xsource, self.wake.ysource, z_center),
+                direction=(0, 0, 1),
+                height=z_height,
+                radius=radius * 1.1,
+            )
+            path = pv.Cylinder(
+                center=(self.wake.xtest, self.wake.ytest, z_center),
+                direction=(0, 0, 1),
+                height=z_height,
+                radius=radius,
+            )
 
             beam_actor = pl.add_mesh(beam, color="orange", name="beam", opacity=1.0)
             beam_actor.SetVisibility(True)
-            path_actor = pl.add_mesh(path, color="blue", name="integration_path", opacity=1.0)
+            path_actor = pl.add_mesh(
+                path, color="blue", name="integration_path", opacity=1.0
+            )
             path_actor.SetVisibility(True)
 
             bx = int(w - box - 200 * ui)
@@ -935,20 +1225,31 @@ def master_cb(v):
 
             def beam_cb(v):
                 beam_actor.SetVisibility(bool(v))
+
             def path_cb(v):
                 path_actor.SetVisibility(bool(v))
 
-            pl.add_checkbox_button_widget(path_cb, value=True,
-                                        color_off=color_off, color_on="blue",
-                                        position=(bx, cy + dy), size=box)
+            pl.add_checkbox_button_widget(
+                path_cb,
+                value=True,
+                color_off=color_off,
+                color_on="blue",
+                position=(bx, cy + dy),
+                size=box,
+            )
             pl.add_text("Integration path", position=(bx + to, cy + dy), font_size=font)
 
-            pl.add_checkbox_button_widget(beam_cb, value=True,
-                                        color_off=color_off, color_on="orange",
-                                        position=(bx, cy), size=box)
+            pl.add_checkbox_button_widget(
+                beam_cb,
+                value=True,
+                color_off=color_off,
+                color_on="orange",
+                position=(bx, cy),
+                size=box,
+            )
             pl.add_text("Beam", position=(bx + to, cy), font_size=font)
 
-        pl.set_background('mistyrose', top='white')
+        pl.set_background("mistyrose", top="white")
         self._add_logo_widget(pl)
         pl.add_axes()
 
@@ -964,15 +1265,18 @@ def _add_logo_widget(self, pl):
         """Add packaged logo via importlib.resources (Python 3.9+)."""
         try:
             from importlib import resources
+
             # resource inside the installed package (use current package)
-            logo_res = resources.files(__package__).joinpath('static', 'img', 'wakis-logo-pink.png')
+            logo_res = resources.files(__package__).joinpath(
+                "static", "img", "wakis-logo-pink.png"
+            )
             with resources.as_file(logo_res) as logo_path:
                 pl.add_logo_widget(str(logo_path))
                 return
         except Exception as e:
             # fallback to the legacy relative path for dev installs
             try:
-                pl.add_logo_widget('../docs/img/wakis-logo-pink.png')
+                pl.add_logo_widget("../docs/img/wakis-logo-pink.png")
             except Exception:
                 if self.verbose > 1:
-                    print(f'[!] Could not add logo widget: {e}')
\ No newline at end of file
+                    print(f"[!] Could not add logo widget: {e}")
diff --git a/wakis/pmlBlock2D.py b/wakis/pmlBlock2D.py
index 073a82d..210d224 100644
--- a/wakis/pmlBlock2D.py
+++ b/wakis/pmlBlock2D.py
@@ -1,9 +1,20 @@
 import numpy as np
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import epsilon_0 as eps_0, mu_0 as mu_0
 
 
 class PmlBlock2D:
-    def __init__(self, Nx, Ny, dt, dx, dy, lx_block=None, ly_block=None, rx_block=None, ry_block=None):
+    def __init__(
+        self,
+        Nx,
+        Ny,
+        dt,
+        dx,
+        dy,
+        lx_block=None,
+        ly_block=None,
+        rx_block=None,
+        ry_block=None,
+    ):
         self.Nx = Nx
         self.Ny = Ny
         self.dt = dt
@@ -57,79 +68,90 @@ def __init__(self, Nx, Ny, dt, dx, dy, lx_block=None, ly_block=None, rx_block=No
         self.C6 = self.dt / eps_0
 
     def assemble_coeffs(self):
-        self.Ax = (2 * eps_0 - self.dt * self.sigma_x) / (2 * eps_0 + self.dt * self.sigma_x)
-        self.Ay = (2 * eps_0 - self.dt * self.sigma_y) / (2 * eps_0 + self.dt * self.sigma_y)
-        self.Az = (2 * eps_0 - self.dt * self.sigma_z) / (2 * eps_0 + self.dt * self.sigma_z)
+        self.Ax = (2 * eps_0 - self.dt * self.sigma_x) / (
+            2 * eps_0 + self.dt * self.sigma_x
+        )
+        self.Ay = (2 * eps_0 - self.dt * self.sigma_y) / (
+            2 * eps_0 + self.dt * self.sigma_y
+        )
+        self.Az = (2 * eps_0 - self.dt * self.sigma_z) / (
+            2 * eps_0 + self.dt * self.sigma_z
+        )
         self.Bx = 2 * self.dt / (2 * eps_0 + self.dt * self.sigma_x)
         self.By = 2 * self.dt / (2 * eps_0 + self.dt * self.sigma_y)
         self.Bz = 2 * self.dt / (2 * eps_0 + self.dt * self.sigma_z)
-        self.Cx = (2 * mu_0 - self.dt * self.sigma_star_x) / (2 * mu_0 + self.dt * self.sigma_star_x)
-        self.Cy = (2 * mu_0 - self.dt * self.sigma_star_y) / (2 * mu_0 + self.dt * self.sigma_star_y)
-        self.Cz = (2 * mu_0 - self.dt * self.sigma_star_z) / (2 * mu_0 + self.dt * self.sigma_star_z)
+        self.Cx = (2 * mu_0 - self.dt * self.sigma_star_x) / (
+            2 * mu_0 + self.dt * self.sigma_star_x
+        )
+        self.Cy = (2 * mu_0 - self.dt * self.sigma_star_y) / (
+            2 * mu_0 + self.dt * self.sigma_star_y
+        )
+        self.Cz = (2 * mu_0 - self.dt * self.sigma_star_z) / (
+            2 * mu_0 + self.dt * self.sigma_star_z
+        )
         self.Dx = 2 * self.dt / (2 * mu_0 + self.dt * self.sigma_star_x)
         self.Dy = 2 * self.dt / (2 * mu_0 + self.dt * self.sigma_star_y)
         self.Dz = 2 * self.dt / (2 * mu_0 + self.dt * self.sigma_star_z)
 
     def advance_h_fdtd(self):
-        Hz = self.Hz
-        Ex = self.Ex
-        Ey = self.Ey
-
         for ii in range(self.Nx):
             for jj in range(self.Ny):
-                self.Hzx[ii, jj] = self.Cx[ii, jj] * self.Hzx[ii, jj] - self.Dx[ii, jj] / self.dx * (self.Ey[ii + 1, jj]
-                                                                                                     - self.Ey[ii, jj])
-                self.Hzy[ii, jj] = self.Cy[ii, jj] * self.Hzy[ii, jj] + self.Dy[ii, jj] / self.dy * (self.Ex[ii, jj + 1]
-                                                                                                     - self.Ex[ii, jj])
+                self.Hzx[ii, jj] = self.Cx[ii, jj] * self.Hzx[ii, jj] - self.Dx[
+                    ii, jj
+                ] / self.dx * (self.Ey[ii + 1, jj] - self.Ey[ii, jj])
+                self.Hzy[ii, jj] = self.Cy[ii, jj] * self.Hzy[ii, jj] + self.Dy[
+                    ii, jj
+                ] / self.dy * (self.Ex[ii, jj + 1] - self.Ex[ii, jj])
 
         self.Hz = self.Hzx + self.Hzy
 
     def advance_e_fdtd(self):
-        Hz = self.Hz
-        Ex = self.Ex
-        Ey = self.Ey
-
         for ii in range(self.Nx):
             for jj in range(1, self.Ny):
-                self.Exy[ii, jj] = self.Ay[ii, jj] * self.Exy[ii, jj] + self.By[ii, jj] / self.dy * (
-                            self.Hz[ii, jj] - self.Hz[ii, jj - 1])
+                self.Exy[ii, jj] = self.Ay[ii, jj] * self.Exy[ii, jj] + self.By[
+                    ii, jj
+                ] / self.dy * (self.Hz[ii, jj] - self.Hz[ii, jj - 1])
                 self.Exz[ii, jj] = self.Az[ii, jj] * self.Exz[ii, jj]
 
         for ii in range(1, self.Nx):
             for jj in range(self.Ny):
                 self.Eyz[ii, jj] = self.Az[ii, jj] * self.Eyz[ii, jj]
-                self.Eyx[ii, jj] = self.Ax[ii, jj] * self.Eyx[ii, jj] - self.Bx[ii, jj] / self.dx * (
-                            self.Hz[ii, jj] - self.Hz[ii - 1, jj])
+                self.Eyx[ii, jj] = self.Ax[ii, jj] * self.Eyx[ii, jj] - self.Bx[
+                    ii, jj
+                ] / self.dx * (self.Hz[ii, jj] - self.Hz[ii - 1, jj])
 
         self.Ex = self.Exy + self.Exz
         self.Ey = self.Eyx + self.Eyz
 
     def update_e_boundary(self):
-
         if self.lx_block is not None:
             for jj in range(self.Ny):
                 self.Eyz[0, jj] = self.Az[0, jj] * self.Eyz[0, jj]
-                self.Eyx[0, jj] = self.Ax[0, jj] * self.Eyx[0, jj] - self.Bx[0, jj] / self.dx * (
-                            self.Hz[0, jj] - self.lx_block.Hz[-1, jj])
+                self.Eyx[0, jj] = self.Ax[0, jj] * self.Eyx[0, jj] - self.Bx[
+                    0, jj
+                ] / self.dx * (self.Hz[0, jj] - self.lx_block.Hz[-1, jj])
 
         if self.rx_block is not None:
             for jj in range(self.Ny):
                 self.Eyz[-1, jj] = self.Az[-1, jj] * self.Eyz[-1, jj]
-                self.Eyx[-1, jj] = self.Ax[-1, jj] * self.Eyx[-1, jj] - self.Bx[-1, jj] / self.dx * (
-                            self.rx_block.Hz[0, jj] - self.Hz[-1, jj])
+                self.Eyx[-1, jj] = self.Ax[-1, jj] * self.Eyx[-1, jj] - self.Bx[
+                    -1, jj
+                ] / self.dx * (self.rx_block.Hz[0, jj] - self.Hz[-1, jj])
 
         self.Ey = self.Eyx + self.Eyz
 
         if self.ly_block is not None:
             for ii in range(self.Nx):
-                self.Exy[ii, 0] = self.Ay[ii, 0] * self.Exy[ii, 0] + self.By[ii, 0] / self.dy * (
-                            self.Hz[ii, 0] - self.ly_block.Hz[ii, - 1])
+                self.Exy[ii, 0] = self.Ay[ii, 0] * self.Exy[ii, 0] + self.By[
+                    ii, 0
+                ] / self.dy * (self.Hz[ii, 0] - self.ly_block.Hz[ii, -1])
                 self.Exz[ii, 0] = self.Az[ii, 0] * self.Exz[ii, 0]
 
         if self.ry_block is not None:
             for ii in range(self.Nx):
-                self.Exy[ii, -1] = self.Ay[ii, -1] * self.Exy[ii, -1] + self.By[ii, -1] / self.dy * (
-                            self.ry_block.Hz[ii, 0] - self.Hz[ii, - 1])
+                self.Exy[ii, -1] = self.Ay[ii, -1] * self.Exy[ii, -1] + self.By[
+                    ii, -1
+                ] / self.dy * (self.ry_block.Hz[ii, 0] - self.Hz[ii, -1])
                 self.Exz[ii, -1] = self.Az[ii, -1] * self.Exz[ii, -1]
 
         self.Ex = self.Exy + self.Exz
diff --git a/wakis/pmlBlock3D.py b/wakis/pmlBlock3D.py
index ae98d0b..ec82640 100644
--- a/wakis/pmlBlock3D.py
+++ b/wakis/pmlBlock3D.py
@@ -1,10 +1,27 @@
 import numpy as np
-from scipy.constants import c as c_light, epsilon_0 as eps_0, mu_0 as mu_0
+from scipy.constants import epsilon_0 as eps_0, mu_0 as mu_0
 
 
 class PmlBlock3D:
-    def __init__(self, Nx, Ny, Nz, dt, dx, dy, dz, i_block, j_block, k_block, lx_block=None, ly_block=None, lz_block=None, rx_block=None,
-                 ry_block=None, rz_block=None):
+    def __init__(
+        self,
+        Nx,
+        Ny,
+        Nz,
+        dt,
+        dx,
+        dy,
+        dz,
+        i_block,
+        j_block,
+        k_block,
+        lx_block=None,
+        ly_block=None,
+        lz_block=None,
+        rx_block=None,
+        ry_block=None,
+        rz_block=None,
+    ):
         self.Nx = Nx
         self.Ny = Ny
         self.Nz = Nz
@@ -79,88 +96,128 @@ def __init__(self, Nx, Ny, Nz, dt, dx, dy, dz, i_block, j_block, k_block, lx_blo
         self.C6 = self.dt / eps_0
 
     def assemble_coeffs(self):
-        self.Ax = (2 * eps_0 - self.dt * self.sigma_x) / (2 * eps_0 + self.dt * self.sigma_x)
-        self.Ay = (2 * eps_0 - self.dt * self.sigma_y) / (2 * eps_0 + self.dt * self.sigma_y)
-        self.Az = (2 * eps_0 - self.dt * self.sigma_z) / (2 * eps_0 + self.dt * self.sigma_z)
+        self.Ax = (2 * eps_0 - self.dt * self.sigma_x) / (
+            2 * eps_0 + self.dt * self.sigma_x
+        )
+        self.Ay = (2 * eps_0 - self.dt * self.sigma_y) / (
+            2 * eps_0 + self.dt * self.sigma_y
+        )
+        self.Az = (2 * eps_0 - self.dt * self.sigma_z) / (
+            2 * eps_0 + self.dt * self.sigma_z
+        )
         self.Bx = 2 * self.dt / (2 * eps_0 + self.dt * self.sigma_x)
         self.By = 2 * self.dt / (2 * eps_0 + self.dt * self.sigma_y)
         self.Bz = 2 * self.dt / (2 * eps_0 + self.dt * self.sigma_z)
-        self.Cx = (2 * mu_0 - self.dt * self.sigma_star_x) / (2 * mu_0 + self.dt * self.sigma_star_x)
-        self.Cy = (2 * mu_0 - self.dt * self.sigma_star_y) / (2 * mu_0 + self.dt * self.sigma_star_y)
-        self.Cz = (2 * mu_0 - self.dt * self.sigma_star_z) / (2 * mu_0 + self.dt * self.sigma_star_z)
+        self.Cx = (2 * mu_0 - self.dt * self.sigma_star_x) / (
+            2 * mu_0 + self.dt * self.sigma_star_x
+        )
+        self.Cy = (2 * mu_0 - self.dt * self.sigma_star_y) / (
+            2 * mu_0 + self.dt * self.sigma_star_y
+        )
+        self.Cz = (2 * mu_0 - self.dt * self.sigma_star_z) / (
+            2 * mu_0 + self.dt * self.sigma_star_z
+        )
         self.Dx = 2 * self.dt / (2 * mu_0 + self.dt * self.sigma_star_x)
         self.Dy = 2 * self.dt / (2 * mu_0 + self.dt * self.sigma_star_y)
         self.Dz = 2 * self.dt / (2 * mu_0 + self.dt * self.sigma_star_z)
 
     def advance_h_fdtd(self):
-        Hz = self.Hz
-        Ex = self.Ex
-        Ey = self.Ey
-
         for ii in range(self.Nx):
             for jj in range(self.Ny):
                 for kk in range(self.Nz + 1):
-                    self.Hzx[ii, jj, kk] = self.Cx[ii, jj, kk] * self.Hzx[ii, jj, kk] - self.Dx[ii, jj, kk] / self.dx * (self.Ey[ii + 1, jj, kk]
-                                                                                                        - self.Ey[ii, jj, kk])
-                    self.Hzy[ii, jj, kk] = self.Cy[ii, jj, kk] * self.Hzy[ii, jj, kk] + self.Dy[ii, jj, kk] / self.dy * (self.Ex[ii, jj + 1, kk]
-                                                                                                        - self.Ex[ii, jj, kk])
+                    self.Hzx[ii, jj, kk] = self.Cx[ii, jj, kk] * self.Hzx[
+                        ii, jj, kk
+                    ] - self.Dx[ii, jj, kk] / self.dx * (
+                        self.Ey[ii + 1, jj, kk] - self.Ey[ii, jj, kk]
+                    )
+                    self.Hzy[ii, jj, kk] = self.Cy[ii, jj, kk] * self.Hzy[
+                        ii, jj, kk
+                    ] + self.Dy[ii, jj, kk] / self.dy * (
+                        self.Ex[ii, jj + 1, kk] - self.Ex[ii, jj, kk]
+                    )
 
         for ii in range(self.Nx + 1):
             for jj in range(self.Ny):
                 for kk in range(self.Nz):
-                    self.Hxy[ii, jj, kk] = self.Cy[ii, jj, kk] * self.Hxy[ii, jj, kk] - self.Dy[ii, jj, kk] / self.dy * (self.Ez[ii, jj + 1, kk]
-                                                                                                        - self.Ez[ii, jj, kk])
-                    self.Hxz[ii, jj, kk] = self.Cz[ii, jj, kk] * self.Hxz[ii, jj, kk] + self.Dz[ii, jj, kk] / self.dz * (self.Ey[ii, jj, kk + 1]
-                                                                                                        - self.Ey[ii, jj, kk])
+                    self.Hxy[ii, jj, kk] = self.Cy[ii, jj, kk] * self.Hxy[
+                        ii, jj, kk
+                    ] - self.Dy[ii, jj, kk] / self.dy * (
+                        self.Ez[ii, jj + 1, kk] - self.Ez[ii, jj, kk]
+                    )
+                    self.Hxz[ii, jj, kk] = self.Cz[ii, jj, kk] * self.Hxz[
+                        ii, jj, kk
+                    ] + self.Dz[ii, jj, kk] / self.dz * (
+                        self.Ey[ii, jj, kk + 1] - self.Ey[ii, jj, kk]
+                    )
 
         for ii in range(self.Nx):
             for jj in range(self.Ny + 1):
                 for kk in range(self.Nz):
-                    self.Hyx[ii, jj, kk] = self.Cx[ii, jj, kk] * self.Hyx[ii, jj, kk] + self.Dx[ii, jj, kk] / self.dx * (self.Ez[ii + 1, jj, kk]
-                                                                                                        - self.Ez[ii, jj, kk])
-                    self.Hyz[ii, jj, kk] = self.Cz[ii, jj, kk] * self.Hyz[ii, jj, kk] - self.Dz[ii, jj, kk] / self.dz * (self.Ex[ii, jj, kk + 1]
-                                                                                                        - self.Ex[ii, jj, kk])
+                    self.Hyx[ii, jj, kk] = self.Cx[ii, jj, kk] * self.Hyx[
+                        ii, jj, kk
+                    ] + self.Dx[ii, jj, kk] / self.dx * (
+                        self.Ez[ii + 1, jj, kk] - self.Ez[ii, jj, kk]
+                    )
+                    self.Hyz[ii, jj, kk] = self.Cz[ii, jj, kk] * self.Hyz[
+                        ii, jj, kk
+                    ] - self.Dz[ii, jj, kk] / self.dz * (
+                        self.Ex[ii, jj, kk + 1] - self.Ex[ii, jj, kk]
+                    )
 
     def advance_e_fdtd(self):
-        Hz = self.Hz
-        Ex = self.Ex
-        Ey = self.Ey
-
         for ii in range(self.Nx):
             for jj in range(1, self.Ny):
                 for kk in range(self.Nz + 1):
-                    self.Exy[ii, jj, kk] = self.Ay[ii, jj, kk] * self.Exy[ii, jj, kk] + self.By[ii, jj, kk] / self.dy * (
-                                           self.Hz[ii, jj, kk] - self.Hz[ii, jj - 1, kk])
+                    self.Exy[ii, jj, kk] = self.Ay[ii, jj, kk] * self.Exy[
+                        ii, jj, kk
+                    ] + self.By[ii, jj, kk] / self.dy * (
+                        self.Hz[ii, jj, kk] - self.Hz[ii, jj - 1, kk]
+                    )
 
         for ii in range(self.Nx):
             for jj in range(self.Ny + 1):
                 for kk in range(1, self.Nz):
-                    self.Exz[ii, jj, kk] = self.Az[ii, jj, kk] * self.Exz[ii, jj, kk] - self.Bz[ii, jj, kk] / self.dz * (
-                                           self.Hy[ii, jj, kk] - self.Hy[ii, jj, kk - 1])
+                    self.Exz[ii, jj, kk] = self.Az[ii, jj, kk] * self.Exz[
+                        ii, jj, kk
+                    ] - self.Bz[ii, jj, kk] / self.dz * (
+                        self.Hy[ii, jj, kk] - self.Hy[ii, jj, kk - 1]
+                    )
 
         for ii in range(1, self.Nx):
             for jj in range(self.Ny):
                 for kk in range(self.Nz + 1):
-                    self.Eyx[ii, jj, kk] = self.Ax[ii, jj, kk] * self.Eyx[ii, jj, kk] - self.Bx[ii, jj, kk] / self.dx * (
-                                           self.Hz[ii, jj, kk] - self.Hz[ii - 1, jj, kk])
+                    self.Eyx[ii, jj, kk] = self.Ax[ii, jj, kk] * self.Eyx[
+                        ii, jj, kk
+                    ] - self.Bx[ii, jj, kk] / self.dx * (
+                        self.Hz[ii, jj, kk] - self.Hz[ii - 1, jj, kk]
+                    )
 
         for ii in range(self.Nx + 1):
             for jj in range(self.Ny):
                 for kk in range(1, self.Nz):
-                    self.Eyz[ii, jj, kk] = self.Az[ii, jj, kk] * self.Eyz[ii, jj, kk] + self.Bz[ii, jj, kk] / self.dz * (
-                                           self.Hx[ii, jj, kk] - self.Hx[ii, jj, kk - 1])
+                    self.Eyz[ii, jj, kk] = self.Az[ii, jj, kk] * self.Eyz[
+                        ii, jj, kk
+                    ] + self.Bz[ii, jj, kk] / self.dz * (
+                        self.Hx[ii, jj, kk] - self.Hx[ii, jj, kk - 1]
+                    )
 
         for ii in range(1, self.Nx):
             for jj in range(self.Ny + 1):
                 for kk in range(self.Nz):
-                    self.Ezx[ii, jj, kk] = self.Ax[ii, jj, kk]*self.Ezx[ii, jj, kk] + self.Bx[ii, jj, kk] / self.dx * (
-                                           self.Hy[ii, jj, kk] - self.Hy[ii - 1, jj, kk])
+                    self.Ezx[ii, jj, kk] = self.Ax[ii, jj, kk] * self.Ezx[
+                        ii, jj, kk
+                    ] + self.Bx[ii, jj, kk] / self.dx * (
+                        self.Hy[ii, jj, kk] - self.Hy[ii - 1, jj, kk]
+                    )
 
         for ii in range(self.Nx + 1):
             for jj in range(1, self.Ny):
                 for kk in range(self.Nz):
-                    self.Ezy[ii, jj, kk] = self.Ay[ii, jj, kk]*self.Ezy[ii, jj, kk] - self.By[ii, jj, kk] / self.dy * (
-                                           self.Hx[ii, jj, kk] - self.Hx[ii, jj - 1, kk])
+                    self.Ezy[ii, jj, kk] = self.Ay[ii, jj, kk] * self.Ezy[
+                        ii, jj, kk
+                    ] - self.By[ii, jj, kk] / self.dy * (
+                        self.Hx[ii, jj, kk] - self.Hx[ii, jj - 1, kk]
+                    )
 
     def sum_e_fields(self):
         self.Ex = self.Exy + self.Exz
@@ -173,7 +230,6 @@ def sum_h_fields(self):
         self.Hz = self.Hzx + self.Hzy
 
     def update_e_boundary(self):
-
         i_block = self.i_block
         j_block = self.j_block
         k_block = self.k_block
@@ -205,61 +261,108 @@ def update_e_boundary(self):
         if i_block > 0 and blocks_mat[i_block - 1, j_block, k_block] is not None:
             for jj in range(Ny):
                 for kk in range(Nz + 1):
-                    Eyx[0, jj, kk] = Ax[0, jj, kk] * Eyx[0, jj, kk] - Bx[0, jj, kk] / dx * (Hz[0, jj, kk]
-                                                             - blocks_mat[i_block - 1, j_block, k_block].Hz[-1, jj, kk])
+                    Eyx[0, jj, kk] = Ax[0, jj, kk] * Eyx[0, jj, kk] - Bx[
+                        0, jj, kk
+                    ] / dx * (
+                        Hz[0, jj, kk]
+                        - blocks_mat[i_block - 1, j_block, k_block].Hz[-1, jj, kk]
+                    )
             for jj in range(Ny + 1):
                 for kk in range(Nz):
-                    Ezx[0, jj, kk] = Ax[0, jj, kk] * Ezx[0, jj, kk] + Bx[0, jj, kk] / dx * (Hy[0, jj, kk]
-                                                            - blocks_mat[i_block - 1, j_block, k_block].Hy[-1, jj, kk])
+                    Ezx[0, jj, kk] = Ax[0, jj, kk] * Ezx[0, jj, kk] + Bx[
+                        0, jj, kk
+                    ] / dx * (
+                        Hy[0, jj, kk]
+                        - blocks_mat[i_block - 1, j_block, k_block].Hy[-1, jj, kk]
+                    )
 
         if j_block > 0 and blocks_mat[i_block, j_block - 1, k_block] is not None:
             for ii in range(Nx):
                 for kk in range(Nz + 1):
-                    Exy[ii, 0, kk] = Ay[ii, 0, kk] * Exy[ii, 0, kk] + By[ii, 0, kk] / dy * (Hz[ii, 0, kk]
-                                                             - blocks_mat[i_block, j_block - 1, k_block].Hz[ii, -1, kk])
+                    Exy[ii, 0, kk] = Ay[ii, 0, kk] * Exy[ii, 0, kk] + By[
+                        ii, 0, kk
+                    ] / dy * (
+                        Hz[ii, 0, kk]
+                        - blocks_mat[i_block, j_block - 1, k_block].Hz[ii, -1, kk]
+                    )
             for ii in range(Nx + 1):
                 for kk in range(Nz):
-                    Ezy[ii, 0, kk] = Ay[ii, 0, kk] * Ezy[ii, 0, kk] - By[ii, 0, kk] / dy * (Hx[ii, 0, kk]
-                                                             - blocks_mat[i_block, j_block - 1, k_block].Hx[ii, -1, kk])
+                    Ezy[ii, 0, kk] = Ay[ii, 0, kk] * Ezy[ii, 0, kk] - By[
+                        ii, 0, kk
+                    ] / dy * (
+                        Hx[ii, 0, kk]
+                        - blocks_mat[i_block, j_block - 1, k_block].Hx[ii, -1, kk]
+                    )
 
         if k_block > 0 and blocks_mat[i_block, j_block, k_block - 1] is not None:
             for ii in range(Nx + 1):
                 for jj in range(Ny):
-                    Eyz[ii, jj, 0] = Az[ii, jj, 0] * Eyz[ii, jj, 0] + Bz[ii, jj, 0] / dz * (Hx[ii, jj, 0]
-                                                            - blocks_mat[i_block, j_block, k_block - 1].Hx[ii, jj, - 1])
+                    Eyz[ii, jj, 0] = Az[ii, jj, 0] * Eyz[ii, jj, 0] + Bz[
+                        ii, jj, 0
+                    ] / dz * (
+                        Hx[ii, jj, 0]
+                        - blocks_mat[i_block, j_block, k_block - 1].Hx[ii, jj, -1]
+                    )
             for ii in range(Nx):
                 for jj in range(Ny + 1):
-                    Exz[ii, jj, 0] = Az[ii, jj, 0] * Exz[ii, jj, 0] - Bz[ii, jj, 0] / dz * (Hy[ii, jj, 0]
-                                                            - blocks_mat[i_block, j_block, k_block - 1].Hy[ii, jj, - 1])
+                    Exz[ii, jj, 0] = Az[ii, jj, 0] * Exz[ii, jj, 0] - Bz[
+                        ii, jj, 0
+                    ] / dz * (
+                        Hy[ii, jj, 0]
+                        - blocks_mat[i_block, j_block, k_block - 1].Hy[ii, jj, -1]
+                    )
 
         # Update E on "upper" faces
         if i_block < 2 and blocks_mat[i_block + 1, j_block, k_block] is not None:
             for jj in range(Ny):
                 for kk in range(Nz + 1):
-                    Eyx[Nx, jj, kk] = Ax[Nx, jj, kk] * Eyx[Nx, jj, kk] - Bx[Nx, jj, kk] / dx * (
-                                               blocks_mat[i_block + 1, j_block, k_block].Hz[0, jj, kk] - Hz[-1, jj, kk])
+                    Eyx[Nx, jj, kk] = Ax[Nx, jj, kk] * Eyx[Nx, jj, kk] - Bx[
+                        Nx, jj, kk
+                    ] / dx * (
+                        blocks_mat[i_block + 1, j_block, k_block].Hz[0, jj, kk]
+                        - Hz[-1, jj, kk]
+                    )
             for jj in range(Ny + 1):
                 for kk in range(Nz):
-                    Ezx[Nx, jj, kk] = Ax[Nx, jj, kk] * Ezx[Nx, jj, kk] + Bx[Nx, jj, kk] / dx * (
-                                               blocks_mat[i_block + 1, j_block, k_block].Hy[0, jj, kk] - Hy[-1, jj, kk])
+                    Ezx[Nx, jj, kk] = Ax[Nx, jj, kk] * Ezx[Nx, jj, kk] + Bx[
+                        Nx, jj, kk
+                    ] / dx * (
+                        blocks_mat[i_block + 1, j_block, k_block].Hy[0, jj, kk]
+                        - Hy[-1, jj, kk]
+                    )
 
         if j_block < 2 and blocks_mat[i_block, j_block + 1, k_block] is not None:
             for ii in range(Nx):
                 for kk in range(Nz + 1):
-                    Exy[ii, Ny, kk] = Ay[ii, Ny, kk] * Exy[ii, Ny, kk] + By[ii, Ny, kk] / dy * (
-                                               blocks_mat[i_block, j_block + 1, k_block].Hz[ii, 0, kk] - Hz[ii, -1, kk])
+                    Exy[ii, Ny, kk] = Ay[ii, Ny, kk] * Exy[ii, Ny, kk] + By[
+                        ii, Ny, kk
+                    ] / dy * (
+                        blocks_mat[i_block, j_block + 1, k_block].Hz[ii, 0, kk]
+                        - Hz[ii, -1, kk]
+                    )
             for ii in range(Nx + 1):
                 for kk in range(Nz):
-                    Ezy[ii, Ny, kk] = Ay[ii, Ny, kk] * Ezy[ii, Ny, kk] - By[ii, Ny, kk] / dy * (
-                                               blocks_mat[i_block, j_block + 1, k_block].Hx[ii, 0, kk] - Hx[ii, -1, kk])
+                    Ezy[ii, Ny, kk] = Ay[ii, Ny, kk] * Ezy[ii, Ny, kk] - By[
+                        ii, Ny, kk
+                    ] / dy * (
+                        blocks_mat[i_block, j_block + 1, k_block].Hx[ii, 0, kk]
+                        - Hx[ii, -1, kk]
+                    )
 
         if k_block < 2 and blocks_mat[i_block, j_block, k_block + 1] is not None:
             for ii in range(Nx + 1):
                 for jj in range(Ny):
-                    Eyz[ii, jj, Nz] = Az[ii, jj, Nz] * Eyz[ii, jj, Nz] + Bz[ii, jj, Nz] / dz * (
-                                               blocks_mat[i_block, j_block, k_block + 1].Hx[ii, jj, 0] - Hx[ii, jj, -1])
+                    Eyz[ii, jj, Nz] = Az[ii, jj, Nz] * Eyz[ii, jj, Nz] + Bz[
+                        ii, jj, Nz
+                    ] / dz * (
+                        blocks_mat[i_block, j_block, k_block + 1].Hx[ii, jj, 0]
+                        - Hx[ii, jj, -1]
+                    )
             for ii in range(Nx):
                 for jj in range(Ny + 1):
-                    Exz[ii, jj, Nz] = Az[ii, jj, Nz] * Exz[ii, jj, Nz] - Bz[ii, jj, Nz] / dz * (
-                                               blocks_mat[i_block, j_block, k_block + 1].Hy[ii, jj, 0] - Hy[ii, jj, -1])
-
+                    Exz[ii, jj, Nz] = Az[ii, jj, Nz] * Exz[ii, jj, Nz] - Bz[
+                        ii, jj, Nz
+                    ] / dz * (
+                        blocks_mat[i_block, j_block, k_block + 1].Hy[ii, jj, 0]
+                        - Hy[ii, jj, -1]
+                    )
diff --git a/wakis/routines.py b/wakis/routines.py
index ed70487..6c489b3 100644
--- a/wakis/routines.py
+++ b/wakis/routines.py
@@ -9,13 +9,25 @@
 from tqdm import tqdm
 from wakis.sources import Beam
 
-class RoutinesMixin():
 
-    def emsolve(self, Nt, source=None, callback=None,
-                save=False, fields=['E'], components=['Abs'], save_every=1, subdomain=None,
-                plot=False, plot_every=1, use_etd=False,
-                plot3d=False, **kwargs):
-        '''
+class RoutinesMixin:
+    def emsolve(
+        self,
+        Nt,
+        source=None,
+        callback=None,
+        save=False,
+        fields=["E"],
+        components=["Abs"],
+        save_every=1,
+        subdomain=None,
+        plot=False,
+        plot_every=1,
+        use_etd=False,
+        plot3d=False,
+        **kwargs,
+    ):
+        """
         Run the simulation and save the selected field components in HDF5 files
         for every timestep. Each field will be saved in a separate HDF5 file 'Xy.h5'
         where X is the field and y the component.
@@ -68,20 +80,21 @@ def emsolve(self, Nt, source=None, callback=None,
         Dependencies:
         -------------
         h5py
-        '''
+        """
         self.Nt = Nt
         if source is not None:
             self.source = source
 
         if save:
-
             hfs = {}
             for field in fields:
                 if len(field) == 1:
                     for component in components:
-                        hfs[field+component] = h5py.File(field+component+'.h5', 'w')
+                        hfs[field + component] = h5py.File(
+                            field + component + ".h5", "w"
+                        )
                 else:
-                    hfs[field] = h5py.File(field+'.h5', 'w')
+                    hfs[field] = h5py.File(field + ".h5", "w")
 
             for hf in hfs:
                 hf['x'], hf['y'], hf['z'] = self.x, self.y, self.z
@@ -91,21 +104,39 @@ def emsolve(self, Nt, source=None, callback=None,
             if subdomain is not None:
                 xx, yy, zz = subdomain
             else:
-                xx, yy, zz = slice(0,self.Nx), slice(0,self.Ny), slice(0,self.Nz)
+                xx, yy, zz = slice(0, self.Nx), slice(0, self.Ny), slice(0, self.Nz)
 
         if plot:
-            plotkw = {'field':'E', 'component':'z',
-                    'plane':'ZY', 'pos':0.5, 'cmap':'rainbow',
-                    'patch_reverse':True, 'title':'Ez',
-                    'off_screen': True, 'interpolation':'spline36'}
+            plotkw = {
+                "field": "E",
+                "component": "z",
+                "plane": "ZY",
+                "pos": 0.5,
+                "cmap": "rainbow",
+                "patch_reverse": True,
+                "title": "Ez",
+                "off_screen": True,
+                "interpolation": "spline36",
+            }
             plotkw.update(kwargs)
 
         if plot3d:
-            plotkw = {'field':'E', 'component':'z',
-                    'add_stl':None, 'stl_opacity':0.0, 'stl_colors':'white',
-                    'title':'Ez', 'cmap':'jet', 'clip_volume':False, 'clip_normal':'-y',
-                    'field_on_stl':True, 'field_opacity':1.0,
-                    'off_screen':True, 'zoom':1.0, 'nan_opacity':1.0}
+            plotkw = {
+                "field": "E",
+                "component": "z",
+                "add_stl": None,
+                "stl_opacity": 0.0,
+                "stl_colors": "white",
+                "title": "Ez",
+                "cmap": "jet",
+                "clip_volume": False,
+                "clip_normal": "-y",
+                "field_on_stl": True,
+                "field_opacity": 1.0,
+                "off_screen": True,
+                "zoom": 1.0,
+                "nan_opacity": 1.0,
+            }
 
             plotkw.update(kwargs)
 
@@ -116,58 +147,65 @@ def emsolve(self, Nt, source=None, callback=None,
 
         # Time loop
         for n in tqdm(range(Nt)):
-
             if source is not None:
-                source.update(self, n*self.dt)
+                source.update(self, n * self.dt)
 
-            if save and n%save_every == 0:
+            if save and n % save_every == 0:
                 for field in hfs.keys():
                     try:
-                        d = getattr(self, field[0])[xx,yy,zz,field[1:]]
+                        d = getattr(self, field[0])[xx, yy, zz, field[1:]]
                     except AttributeError:
-                        raise(f'Component {field} not valid. Input must have a \
-                              field ["E", "H", "J"] and a component ["x", "y", "z", "Abs"]')
+                        raise (
+                            f'Component {field} not valid. Input must have a \
+                              field ["E", "H", "J"] and a component ["x", "y", "z", "Abs"]'
+                        )
 
                     # Save timestep in HDF5
-                    hfs[field]['#'+str(n).zfill(5)] = d
+                    hfs[field]["#" + str(n).zfill(5)] = d
 
             # Advance
             self.one_step()
 
             # Plot
-            if plot and n%plot_every == 0:
+            if plot and n % plot_every == 0:
                 self.plot2D(n=n, **plotkw)
 
-            if plot3d and n%plot_every == 0:
+            if plot3d and n % plot_every == 0:
                 self.plot3D(n=n, **plotkw)
 
             # ABC BCs
             if self.activate_abc:
-                self.update_abc(E_abc_2, H_abc_2)       # n-2
-                E_abc_2, H_abc_2 = E_abc_1, H_abc_1     # n-1
-                E_abc_1, H_abc_1 = self.get_abc()       # n
+                self.update_abc(E_abc_2, H_abc_2)  # n-2
+                E_abc_2, H_abc_2 = E_abc_1, H_abc_1  # n-1
+                E_abc_1, H_abc_1 = self.get_abc()  # n
 
             # Callback func(solver, t)
             if callback is not None:
-                callback(self, n*self.dt)
+                callback(self, n * self.dt)
 
         # End
         if save:
             for hf in hfs:
                 hf.close()
 
-    def wakesolve(self, wakelength,
-                  wake=None,
-                  callback=None,
-                  compute_plane='both',
-                  plot=False, plot_from=None, plot_every=1, plot_until=None,
-                  save_J=False,
-                  add_space=None, #for legacy
-                  use_field_monitor=False,
-                  field_monitor=None,
-                  use_edt=None, #deprecated
-                  **kwargs):
-        '''
+    def wakesolve(
+        self,
+        wakelength,
+        wake=None,
+        callback=None,
+        compute_plane="both",
+        plot=False,
+        plot_from=None,
+        plot_every=1,
+        plot_until=None,
+        save_J=False,
+        add_space=None,  # for legacy
+        use_field_monitor=False,
+        field_monitor=None,
+        use_edt=None,  # deprecated
+        **kwargs,
+    ):
+        """
         Run the EM simulation and compute the longitudinal (z) and transverse (x,y)
         wake potential WP(s) and impedance Z(s).
 
@@ -217,30 +255,42 @@ def wakesolve(self, wakelength,
         Dependencies:
         -------------
         h5py
-        '''
+        """
 
         if wake is not None:
             self.wake = wake
         if self.wake is None:
-            raise('Wake solver information not passed to the solver instantiation')
+            raise ("Wake solver information not passed to the solver instantiation")
 
-        if add_space is not None: #legacy support
+        if add_space is not None:  # legacy support
             self.wake.skip_cells = add_space
 
         # plot params defaults
         if plot:
-            plotkw = {'plane':'ZY', 'pos':0.5, 'title':'Ez',
-                    'cmap':'rainbow', 'patch_reverse':True,
-                    'off_screen': True, 'interpolation':'spline36'}
+            plotkw = {
+                "plane": "ZY",
+                "pos": 0.5,
+                "title": "Ez",
+                "cmap": "rainbow",
+                "patch_reverse": True,
+                "off_screen": True,
+                "interpolation": "spline36",
+            }
             plotkw.update(kwargs)
 
         # integration path (test position)
         self.xtest, self.ytest = self.wake.xtest, self.wake.ytest
-        self.ixt, self.iyt = np.abs(self.x-self.xtest).argmin(), np.abs(self.y-self.ytest).argmin()
-        if compute_plane.lower() == 'longitudinal':
+        self.ixt, self.iyt = (
+            np.abs(self.x - self.xtest).argmin(),
+            np.abs(self.y - self.ytest).argmin(),
+        )
+        if compute_plane.lower() == "longitudinal":
             xx, yy = self.ixt, self.iyt
         else:
-            xx, yy = slice(self.ixt-1, self.ixt+2), slice(self.iyt-1, self.iyt+2)
+            xx, yy = (
+                slice(self.ixt - 1, self.ixt + 2),
+                slice(self.iyt - 1, self.iyt + 2),
+            )
 
         # Compute simulation time
         self.wake.wakelength = wakelength
@@ -254,16 +304,18 @@ def wakesolve(self, wakelength,
             z = self.z
             zz = slice(0, self.Nz)
 
-        tmax = (wakelength + self.ti*self.v + (z.max()-z.min()))/self.v #[s]
-        Nt = int(tmax/self.dt)
+        tmax = (wakelength + self.ti * self.v + (z.max() - z.min())) / self.v  # [s]
+        Nt = int(tmax / self.dt)
         self.tmax, self.Nt = tmax, Nt
 
         # Add beam source
-        beam = Beam(q=self.wake.q,
-                    sigmaz=self.wake.sigmaz,
-                    beta=self.wake.beta,
-                    xsource=self.wake.xsource, ysource=self.wake.ysource,
-                    )
+        beam = Beam(
+            q=self.wake.q,
+            sigmaz=self.wake.sigmaz,
+            beta=self.wake.beta,
+            xsource=self.wake.xsource,
+            ysource=self.wake.ysource,
+        )
 
         # hdf5
         self.Ez_file = self.wake.Ez_file
@@ -296,26 +348,25 @@ def save_to_h5(self, hf, field, x, y, z, comp, n):
             if self.use_mpi:
                 _field = self.mpi_gather(field, x, y, z, comp)
                 if self.rank == 0:
-                    hf['#'+str(n).zfill(5)] = _field
+                    hf["#" + str(n).zfill(5)] = _field
             else:
-                hf['#'+str(n).zfill(5)] = getattr(self, field)[x, y, z, comp]
+                hf["#" + str(n).zfill(5)] = getattr(self, field)[x, y, z, comp]
 
         if plot_until is None:
             plot_until = Nt
         if plot_from is None:
-            plot_from = int(self.ti/self.dt)
+            plot_from = int(self.ti / self.dt)
 
-        print('Running electromagnetic time-domain simulation...')
+        print("Running electromagnetic time-domain simulation...")
         t0 = time.time()
         for n in tqdm(range(Nt)):
-
             # Initial condition
-            beam.update(self, n*self.dt)
+            beam.update(self, n * self.dt)
 
             # Save
-            save_to_h5(self, hf, 'E', xx, yy, zz, 'z', n)
+            save_to_h5(self, hf, "E", xx, yy, zz, "z", n)
             if save_J:
-                save_to_h5(self, hfJ, 'J', xx, yy, zz, 'z', n)
+                save_to_h5(self, hfJ, "J", xx, yy, zz, "z", n)
 
             # Advance
             self.one_step()
@@ -325,18 +376,18 @@ def save_to_h5(self, hf, field, x, y, z, comp, n):
 
             # Plot
             if plot:
-                if n%plot_every == 0 and n<plot_until and n>plot_from:
-                    self.plot2D(field='E', component='z', n=n, **plotkw)
+                if n % plot_every == 0 and n < plot_until and n > plot_from:
+                    self.plot2D(field="E", component="z", n=n, **plotkw)
                 else:
                     pass
 
             # Callback func(solver, t)
             if callback is not None:
-                callback(self, n*self.dt)
+                callback(self, n * self.dt)
 
         # End of time loop
         if self.use_mpi:
-            if self.rank==0:
+            if self.rank == 0:
                 hf.close()
                 if save_J:
                     hfJ.close()
@@ -350,9 +401,9 @@ def save_to_h5(self, hf, field, x, y, z, comp, n):
 
             # Compute wakefield magnitudes is done inside WakeSolver
             self.wake.solve(compute_plane=compute_plane)
-        
+
         # Forward parameters to logger
-        self.logger.wakeSolver=self.wake.logger.wakeSolver
-        self.logger.wakeSolver["wakelength"]=wakelength            
-        self.logger.wakeSolver["simulationTime"]=time.time()-t0
+        self.logger.wakeSolver = self.wake.logger.wakeSolver
+        self.logger.wakeSolver["wakelength"] = wakelength
+        self.logger.wakeSolver["simulationTime"] = time.time() - t0
         self.logger.save_logs()
diff --git a/wakis/solver2D.py b/wakis/solver2D.py
index 2b89458..24ff0b2 100644
--- a/wakis/solver2D.py
+++ b/wakis/solver2D.py
@@ -12,13 +12,23 @@ def neq(a, b, tol=1e-8):
 
 
 class EMSolver2D:
-    def __init__(self, grid, sol_type, cfln, i_s, j_s, bc_low, bc_high,
-                 N_pml_low=None, N_pml_high=None):
+    def __init__(
+        self,
+        grid,
+        sol_type,
+        cfln,
+        i_s,
+        j_s,
+        bc_low,
+        bc_high,
+        N_pml_low=None,
+        N_pml_high=None,
+    ):
         self.grid = grid
         self.type = type
         self.cfln = cfln
 
-        self.dt = cfln / (c_light * np.sqrt(1 / self.grid.dx ** 2 + 1 / self.grid.dy ** 2))
+        self.dt = cfln / (c_light * np.sqrt(1 / self.grid.dx**2 + 1 / self.grid.dy**2))
         self.dx = self.grid.dx
         self.dy = self.grid.dy
         self.Nx = self.grid.nx
@@ -30,13 +40,13 @@ def __init__(self, grid, sol_type, cfln, i_s, j_s, bc_low, bc_high,
         self.bc_low = bc_low
         self.bc_high = bc_high
 
-        if bc_low[0] == 'pml':
+        if bc_low[0] == "pml":
             self.N_pml_low[0] = 10 if N_pml_low is None else N_pml_low[0]
-        if bc_low[1] == 'pml':
+        if bc_low[1] == "pml":
             self.N_pml_low[1] = 10 if N_pml_low is None else N_pml_low[1]
-        if bc_high[0] == 'pml':
+        if bc_high[0] == "pml":
             self.N_pml_high[0] = 10 if N_pml_high is None else N_pml_high[0]
-        if bc_high[1] == 'pml':
+        if bc_high[1] == "pml":
             self.N_pml_high[1] = 10 if N_pml_high is None else N_pml_high[1]
 
         self.blocks = []
@@ -49,32 +59,48 @@ def __init__(self, grid, sol_type, cfln, i_s, j_s, bc_low, bc_high,
         self.pml_lxry = None
         self.pml_rxry = None
 
-        if bc_low[0] is 'pml':
-            self.pml_lx = PmlBlock2D(self.N_pml_low[0], self.Ny, self.dt, self.dx, self.dy)
+        if bc_low[0] == "pml":
+            self.pml_lx = PmlBlock2D(
+                self.N_pml_low[0], self.Ny, self.dt, self.dx, self.dy
+            )
             self.blocks.append(self.pml_lx)
-            if bc_low[1] is 'pml':
-                self.pml_lxly = PmlBlock2D(self.N_pml_low[0], self.N_pml_low[1], self.dt, self.dx, self.dy)
+            if bc_low[1] == "pml":
+                self.pml_lxly = PmlBlock2D(
+                    self.N_pml_low[0], self.N_pml_low[1], self.dt, self.dx, self.dy
+                )
                 self.blocks.append(self.pml_lxly)
-            if bc_high[1] is 'pml':
-                self.pml_lxry = PmlBlock2D(self.N_pml_low[0], self.N_pml_high[1], self.dt, self.dx, self.dy)
+            if bc_high[1] == "pml":
+                self.pml_lxry = PmlBlock2D(
+                    self.N_pml_low[0], self.N_pml_high[1], self.dt, self.dx, self.dy
+                )
                 self.blocks.append(self.pml_lxry)
 
-        if bc_high[0] is 'pml':
-            self.pml_rx = PmlBlock2D(self.N_pml_high[0], self.Ny, self.dt, self.dx, self.dy)
+        if bc_high[0] == "pml":
+            self.pml_rx = PmlBlock2D(
+                self.N_pml_high[0], self.Ny, self.dt, self.dx, self.dy
+            )
             self.blocks.append(self.pml_rx)
-            if bc_low[1] is 'pml':
-                self.pml_rxry = PmlBlock2D(self.N_pml_high[0], self.N_pml_high[1], self.dt, self.dx, self.dy)
+            if bc_low[1] == "pml":
+                self.pml_rxry = PmlBlock2D(
+                    self.N_pml_high[0], self.N_pml_high[1], self.dt, self.dx, self.dy
+                )
                 self.blocks.append(self.pml_rxry)
-            if bc_high[1] is 'pml':
-                self.pml_rxly = PmlBlock2D(self.N_pml_high[0], self.N_pml_low[1], self.dt, self.dx, self.dy)
+            if bc_high[1] == "pml":
+                self.pml_rxly = PmlBlock2D(
+                    self.N_pml_high[0], self.N_pml_low[1], self.dt, self.dx, self.dy
+                )
                 self.blocks.append(self.pml_rxly)
 
-        if bc_low[1] is 'pml':
-            self.pml_ly = PmlBlock2D(self.Nx, self.N_pml_low[1], self.dt, self.dx, self.dy)
+        if bc_low[1] == "pml":
+            self.pml_ly = PmlBlock2D(
+                self.Nx, self.N_pml_low[1], self.dt, self.dx, self.dy
+            )
             self.blocks.append(self.pml_ly)
 
-        if bc_high[1] is 'pml':
-            self.pml_ry = PmlBlock2D(self.Nx, self.N_pml_high[1], self.dt, self.dx, self.dy)
+        if bc_high[1] == "pml":
+            self.pml_ry = PmlBlock2D(
+                self.Nx, self.N_pml_high[1], self.dt, self.dx, self.dy
+            )
             self.blocks.append(self.pml_ry)
 
         self.organize_pmls()
@@ -98,26 +124,28 @@ def __init__(self, grid, sol_type, cfln, i_s, j_s, bc_low, bc_high,
 
         self.rho = np.zeros((self.Nx, self.Ny))
 
-        if (sol_type is not 'FDTD') and (sol_type is not 'DM') and (sol_type is not 'ECT'):
-            raise ValueError("sol_type must be:\n" +
-                             "\t'FDTD' for standard staircased FDTD\n" +
-                             "\t'DM' for Dey-Mittra conformal FDTD\n" +
-                             "\t'ECT' for Enlarged Cell Technique conformal FDTD")
+        if (sol_type != "FDTD") and (sol_type != "DM") and (sol_type != "ECT"):
+            raise ValueError(
+                "sol_type must be:\n"
+                + "\t'FDTD' for standard staircased FDTD\n"
+                + "\t'DM' for Dey-Mittra conformal FDTD\n"
+                + "\t'ECT' for Enlarged Cell Technique conformal FDTD"
+            )
 
-        if sol_type is 'DM' or sol_type is 'ECT':
+        if sol_type == "DM" or sol_type == "ECT":
             self.Vxy = np.zeros((self.Nx, self.Ny))
-        if sol_type is 'ECT':
+        if sol_type == "ECT":
             self.V_enl = np.zeros((self.Nx, self.Ny))
 
-        if sol_type is 'ECT' or sol_type is 'DM':
+        if sol_type == "ECT" or sol_type == "DM":
             self.C1 = self.dt / mu_0
             self.C4 = self.dt / (eps_0 * self.dy)
             self.C5 = self.dt / (eps_0 * self.dx)
             self.C3 = self.dt / eps_0
             self.C6 = self.dt / eps_0
 
-        if sol_type is 'FDTD':
-            Z_0 = np.sqrt(mu_0 / eps_0)
+        if sol_type == "FDTD":
+            np.sqrt(mu_0 / eps_0)
 
             self.C1 = self.dt / (self.dx * mu_0)
             self.C2 = self.dt / (self.dy * mu_0)
@@ -133,41 +161,40 @@ def __init__(self, grid, sol_type, cfln, i_s, j_s, bc_low, bc_high,
         self.time = 0
 
     def organize_pmls(self):
-        if self.bc_low[0] == 'pml':
+        if self.bc_low[0] == "pml":
             self.pml_lx.rx_block = self
-            if self.bc_low[1] is 'pml':
+            if self.bc_low[1] == "pml":
                 self.pml_lx.ly_block = self.pml_lxly
                 self.pml_lxly.ry_block = self.pml_lx
                 self.pml_lxly.rx_block = self.pml_ly
-            if self.bc_high[1] is 'pml':
+            if self.bc_high[1] == "pml":
                 self.pml_lx.ry_block = self.pml_lxry
                 self.pml_lxry.ly_block = self.pml_lx
                 self.pml_lxry.rx_block = self.pml_ry
 
-        if self.bc_high[0] is 'pml':
+        if self.bc_high[0] == "pml":
             self.pml_rx.lx_block = self
-            if self.bc_high[1] is 'pml':
+            if self.bc_high[1] == "pml":
                 self.pml_rx.ry_block = self.pml_rxry
                 self.pml_rxly.lx_block = self.pml_ly
                 self.pml_rxly.ry_block = self.pml_rx
-            if self.bc_low[1] is 'pml':
+            if self.bc_low[1] == "pml":
                 self.pml_rx.ly_block = self.pml_rxly
                 self.pml_rxry.lx_block = self.pml_ry
                 self.pml_rxry.ly_block = self.pml_rx
 
-
-        if self.bc_low[1] is 'pml':
+        if self.bc_low[1] == "pml":
             self.pml_ly.ry_block = self
-            if self.bc_low[0] is 'pml':
+            if self.bc_low[0] == "pml":
                 self.pml_ly.lx_block = self.pml_lxly
-            if self.bc_low[0] is 'pml':
+            if self.bc_low[0] == "pml":
                 self.pml_ly.rx_block = self.pml_rxly
 
-        if self.bc_high[1] is 'pml':
+        if self.bc_high[1] == "pml":
             self.pml_ry.ly_block = self
-            if self.bc_low[0] is 'pml':
+            if self.bc_low[0] == "pml":
                 self.pml_ry.lx_block = self.pml_lxry
-            if self.bc_high[0] is 'pml':
+            if self.bc_high[0] == "pml":
                 self.pml_ry.rx_block = self.pml_rxry
 
     def assemble_conductivities_pmls(self):
@@ -175,50 +202,98 @@ def assemble_conductivities_pmls(self):
         sigma_m_high_x = 0
         sigma_m_low_y = 0
         sigma_m_high_y = 0
-        if self.bc_low[0] is 'pml':
-            sigma_m_low_x = -(self.alpha_pml + 1) * eps_0 * c_light / (2 * (self.N_pml_low[0]-1)*self.dx) * np.log(self.R0_pml)
-        if self.bc_low[1] is 'pml':
-            sigma_m_low_y = -(self.alpha_pml + 1) * eps_0 * c_light / (2 * (self.N_pml_low[1]-1)*self.dy) * np.log(self.R0_pml)
-        if self.bc_high[0] is 'pml':
-            sigma_m_high_x = -(self.alpha_pml + 1) * eps_0 * c_light / (2 * (self.N_pml_high[0]-1)*self.dy) * np.log(self.R0_pml)
-        if self.bc_high[1] is 'pml':
-            sigma_m_high_y = -(self.alpha_pml + 1) * eps_0 * c_light / (2 * (self.N_pml_high[1]-1)*self.dy) * np.log(self.R0_pml)
-
-        if self.bc_low[0] is 'pml':
+        if self.bc_low[0] == "pml":
+            sigma_m_low_x = (
+                -(self.alpha_pml + 1)
+                * eps_0
+                * c_light
+                / (2 * (self.N_pml_low[0] - 1) * self.dx)
+                * np.log(self.R0_pml)
+            )
+        if self.bc_low[1] == "pml":
+            sigma_m_low_y = (
+                -(self.alpha_pml + 1)
+                * eps_0
+                * c_light
+                / (2 * (self.N_pml_low[1] - 1) * self.dy)
+                * np.log(self.R0_pml)
+            )
+        if self.bc_high[0] == "pml":
+            sigma_m_high_x = (
+                -(self.alpha_pml + 1)
+                * eps_0
+                * c_light
+                / (2 * (self.N_pml_high[0] - 1) * self.dy)
+                * np.log(self.R0_pml)
+            )
+        if self.bc_high[1] == "pml":
+            sigma_m_high_y = (
+                -(self.alpha_pml + 1)
+                * eps_0
+                * c_light
+                / (2 * (self.N_pml_high[1] - 1) * self.dy)
+                * np.log(self.R0_pml)
+            )
+
+        if self.bc_low[0] == "pml":
             for n in range(self.N_pml_low[0]):
-                self.pml_lx.sigma_x[-(n+1), :] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
-            if self.bc_low[1] is 'pml':
+                self.pml_lx.sigma_x[-(n + 1), :] = (
+                    sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                )
+            if self.bc_low[1] == "pml":
                 for n in range((self.N_pml_low[1])):
-                    self.pml_lxly.sigma_y[:, -(n+1)] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                    self.pml_lxly.sigma_y[:, -(n + 1)] = (
+                        sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                    )
                 for n in range((self.N_pml_low[0])):
-                    self.pml_lxly.sigma_x[-(n+1), :] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
-            if self.bc_high[1] is 'pml':
+                    self.pml_lxly.sigma_x[-(n + 1), :] = (
+                        sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                    )
+            if self.bc_high[1] == "pml":
                 for n in range(self.N_pml_high[1]):
-                    self.pml_lxry.sigma_y[:, n] = sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                    self.pml_lxry.sigma_y[:, n] = (
+                        sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                    )
                 for n in range(self.N_pml_low[0]):
-                    self.pml_lxry.sigma_x[-(n+1), :] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                    self.pml_lxry.sigma_x[-(n + 1), :] = (
+                        sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                    )
 
-        if self.bc_high[0] is 'pml':
+        if self.bc_high[0] == "pml":
             for n in range(self.N_pml_high[0]):
-                self.pml_rx.sigma_x[n, :] = sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
-            if self.bc_high[1] is 'pml':
+                self.pml_rx.sigma_x[n, :] = (
+                    sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                )
+            if self.bc_high[1] == "pml":
                 for n in range(self.N_pml_high[0]):
-                    self.pml_rxry.sigma_x[n, :] = sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                    self.pml_rxry.sigma_x[n, :] = (
+                        sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                    )
                 for n in range(self.N_pml_high[1]):
-                    self.pml_rxry.sigma_y[:, n] = sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
-            if self.bc_low[1] == 'pml':
+                    self.pml_rxry.sigma_y[:, n] = (
+                        sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                    )
+            if self.bc_low[1] == "pml":
                 for n in range(self.N_pml_low[1]):
-                    self.pml_rxly.sigma_y[:, -(n+1)] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                    self.pml_rxly.sigma_y[:, -(n + 1)] = (
+                        sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                    )
                 for n in range(self.N_pml_high[0]):
-                    self.pml_rxly.sigma_x[n, :] = sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                    self.pml_rxly.sigma_x[n, :] = (
+                        sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                    )
 
-        if self.bc_low[1] is 'pml':
+        if self.bc_low[1] == "pml":
             for n in range(self.N_pml_low[1]):
-                self.pml_ly.sigma_y[:, -(n+1)] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                self.pml_ly.sigma_y[:, -(n + 1)] = (
+                    sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                )
 
-        if self.bc_high[1] is 'pml':
+        if self.bc_high[1] == "pml":
             for n in range(self.N_pml_high[1]):
-                self.pml_ry.sigma_y[:, n] = sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                self.pml_ry.sigma_y[:, n] = (
+                    sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                )
 
         if self.pml_lx is not None:
             self.pml_lx.sigma_star_x = self.pml_lx.sigma_x * mu_0 / eps_0
@@ -246,25 +321,25 @@ def assemble_conductivities_pmls(self):
             self.pml_rxly.sigma_star_y = self.pml_rxly.sigma_y * mu_0 / eps_0
 
     def assemble_coeffs_pmls(self):
-        if self.bc_low[0] is 'pml':
+        if self.bc_low[0] == "pml":
             self.pml_lx.assemble_coeffs()
-            if self.bc_low[1] is 'pml':
+            if self.bc_low[1] == "pml":
                 self.pml_lxly.assemble_coeffs()
-            if self.bc_high[1] is 'pml':
+            if self.bc_high[1] == "pml":
                 self.pml_lxry.assemble_coeffs()
 
-        if self.bc_high[0] is 'pml':
+        if self.bc_high[0] == "pml":
             self.pml_rx.assemble_coeffs()
-            if self.bc_low[0] is 'pml':
+            if self.bc_low[0] == "pml":
                 self.pml_rxry.assemble_coeffs()
-            if self.bc_high[1] is 'pml':
+            if self.bc_high[1] == "pml":
                 self.pml_rxly.assemble_coeffs()
 
-        if self.bc_low[1] is 'pml':
+        if self.bc_low[1] == "pml":
             self.pml_ly.assemble_coeffs()
 
-        if self.bc_high[1] is 'pml':
-            self.pml_ry.assemble_coeffs() 
+        if self.bc_high[1] == "pml":
+            self.pml_ry.assemble_coeffs()
 
     def update_e_boundary(self):
         Ex = self.Ex
@@ -272,19 +347,35 @@ def update_e_boundary(self):
         Hz = self.Hz
         if self.pml_lx is not None:
             for jj in range(self.Ny):
-                Ey[0, jj] = Ey[0, jj] - self.C3 * self.Jy[0, jj] - self.C5 * (Hz[0, jj] - self.pml_lx.Hz[-1, jj])
+                Ey[0, jj] = (
+                    Ey[0, jj]
+                    - self.C3 * self.Jy[0, jj]
+                    - self.C5 * (Hz[0, jj] - self.pml_lx.Hz[-1, jj])
+                )
 
         if self.pml_rx is not None:
             for jj in range(self.Ny):
-                Ey[-1, jj] = Ey[-1, jj] - self.C3 * self.Jy[-1, jj] - self.C5 * (self.pml_rx.Hz[0, jj] - Hz[-1, jj])
+                Ey[-1, jj] = (
+                    Ey[-1, jj]
+                    - self.C3 * self.Jy[-1, jj]
+                    - self.C5 * (self.pml_rx.Hz[0, jj] - Hz[-1, jj])
+                )
 
         if self.pml_ly is not None:
             for ii in range(self.Nx):
-                Ex[ii, 0] = Ex[ii, 0] - self.C3 * self.Jx[ii, 0] + self.C4 * (Hz[ii, 0] - self.pml_ly.Hz[ii, -1])
+                Ex[ii, 0] = (
+                    Ex[ii, 0]
+                    - self.C3 * self.Jx[ii, 0]
+                    + self.C4 * (Hz[ii, 0] - self.pml_ly.Hz[ii, -1])
+                )
 
         if self.pml_ry is not None:
             for ii in range(self.Nx):
-                Ex[ii, -1] = Ex[ii, -1] - self.C3 * self.Jx[ii, -1] + self.C4 * (self.pml_ry.Hz[ii, 0] - Hz[ii, -1])
+                Ex[ii, -1] = (
+                    Ex[ii, -1]
+                    - self.C3 * self.Jx[ii, -1]
+                    + self.C4 * (self.pml_ry.Hz[ii, 0] - Hz[ii, -1])
+                )
 
         for block in self.blocks:
             block.update_e_boundary()
@@ -292,21 +383,30 @@ def update_e_boundary(self):
     def gauss(self, t):
         tau = 10 * self.dt
         if t < 6 * tau:
-            return 100 * np.exp(-(t - 3 * tau) ** 2 / tau ** 2)
+            return 100 * np.exp(-((t - 3 * tau) ** 2) / tau**2)
         else:
-            return 0.
+            return 0.0
 
     def one_step(self):
-        if self.sol_type == 'ECT':
+        if self.sol_type == "ECT":
             self.compute_v_and_rho()
-            self.one_step_ect(Nx=self.Nx, Ny=self.Ny, V_enl=self.V_enl,
-                              rho=self.rho, Hz=self.Hz, C1=self.C1,
-                              flag_int_cell=self.grid.flag_int_cell,
-                              flag_unst_cell=self.grid.flag_unst_cell,
-                              flag_intr_cell=self.grid.flag_intr_cell,
-                              S=self.grid.S,
-                              borrowing=self.grid.borrowing, S_enl=self.grid.S_enl,
-                              S_red=self.grid.S_red, V_new = self.V_new, dt=self.dt)
+            self.one_step_ect(
+                Nx=self.Nx,
+                Ny=self.Ny,
+                V_enl=self.V_enl,
+                rho=self.rho,
+                Hz=self.Hz,
+                C1=self.C1,
+                flag_int_cell=self.grid.flag_int_cell,
+                flag_unst_cell=self.grid.flag_unst_cell,
+                flag_intr_cell=self.grid.flag_intr_cell,
+                S=self.grid.S,
+                borrowing=self.grid.borrowing,
+                S_enl=self.grid.S_enl,
+                S_red=self.grid.S_red,
+                V_new=self.V_new,
+                dt=self.dt,
+            )
             for block in self.blocks:
                 block.advance_h_fdtd()
 
@@ -319,16 +419,13 @@ def one_step(self):
 
             self.time += self.dt
 
-        if self.sol_type == 'FDTD':
+        if self.sol_type == "FDTD":
             self.one_step_fdtd()
-        if self.sol_type == 'DM':
+        if self.sol_type == "DM":
             self.one_step_dm()
 
     def one_step_fdtd(self):
-        Z_0 = np.sqrt(mu_0 / eps_0)
-        Ex = self.Ex
-        Ey = self.Ey
-        Hz = self.Hz
+        np.sqrt(mu_0 / eps_0)
 
         self.advance_h_fdtd()
         for block in self.blocks:
@@ -346,7 +443,10 @@ def one_step_dm(self):
         for i in range(self.Nx):
             for j in range(self.Ny):
                 if self.grid.flag_int_cell[i, j]:
-                    self.Hz[i, j] = self.Hz[i, j] - self.dt / (mu_0 * self.grid.S[i, j]) * self.Vxy[i, j]
+                    self.Hz[i, j] = (
+                        self.Hz[i, j]
+                        - self.dt / (mu_0 * self.grid.S[i, j]) * self.Vxy[i, j]
+                    )
 
         for block in self.blocks:
             block.advance_h_fdtd()
@@ -367,11 +467,14 @@ def advance_h_fdtd(self):
         for ii in range(self.Nx):
             for jj in range(self.Ny):
                 if self.grid.flag_int_cell[ii, jj]:
-                    Hz[ii, jj] = (Hz[ii, jj] - self.C1 * (Ey[ii + 1, jj] - Ey[ii, jj]) +
-                                  self.C2 * (Ex[ii, jj + 1]- Ex[ii, jj]))
+                    Hz[ii, jj] = (
+                        Hz[ii, jj]
+                        - self.C1 * (Ey[ii + 1, jj] - Ey[ii, jj])
+                        + self.C2 * (Ex[ii, jj + 1] - Ex[ii, jj])
+                    )
 
     def advance_e_fdtd(self):
-        Z_0 = np.sqrt(mu_0 / eps_0)
+        np.sqrt(mu_0 / eps_0)
         Ex = self.Ex
         Ey = self.Ey
         Hz = self.Hz
@@ -379,22 +482,43 @@ def advance_e_fdtd(self):
             for jj in range(1, self.Ny):
                 if self.grid.flag_int_cell[ii, jj]:
                     if self.grid.l_x[ii, jj] > 0:
-                        Ex[ii, jj] = Ex[ii, jj] - self.C3 * self.Jx[ii, jj] + self.C4 * (
-                                Hz[ii, jj] - Hz[ii, jj - 1])
+                        Ex[ii, jj] = (
+                            Ex[ii, jj]
+                            - self.C3 * self.Jx[ii, jj]
+                            + self.C4 * (Hz[ii, jj] - Hz[ii, jj - 1])
+                        )
 
         for ii in range(1, self.Nx):
             for jj in range(self.Ny):
                 if self.grid.flag_int_cell[ii, jj]:
                     if self.grid.l_y[ii, jj] > 0:
-                        Ey[ii, jj] = Ey[ii, jj] - self.C3 * self.Jy[ii, jj] - self.C5 * (
-                                Hz[ii, jj] - Hz[ii - 1, jj])
+                        Ey[ii, jj] = (
+                            Ey[ii, jj]
+                            - self.C3 * self.Jy[ii, jj]
+                            - self.C5 * (Hz[ii, jj] - Hz[ii - 1, jj])
+                        )
 
     @staticmethod
-    def one_step_ect(Nx=None, Ny=None, V_enl=None, rho=None, Hz=None, C1=None, flag_int_cell=None,
-                     flag_unst_cell=None, flag_intr_cell=None, S=None, borrowing=None, S_enl=None,
-                     S_red=None, V_new=None, dt = None, comp=None, kk=None):
-
-        #if dt==None: dt = self.dt
+    def one_step_ect(
+        Nx=None,
+        Ny=None,
+        V_enl=None,
+        rho=None,
+        Hz=None,
+        C1=None,
+        flag_int_cell=None,
+        flag_unst_cell=None,
+        flag_intr_cell=None,
+        S=None,
+        borrowing=None,
+        S_enl=None,
+        S_red=None,
+        V_new=None,
+        dt=None,
+        comp=None,
+        kk=None,
+    ):
+        # if dt==None: dt = self.dt
 
         V_enl = np.zeros((Nx, Ny))
 
@@ -402,23 +526,20 @@ def one_step_ect(Nx=None, Ny=None, V_enl=None, rho=None, Hz=None, C1=None, flag_
         for ii in range(Nx):
             for jj in range(Ny):
                 if flag_int_cell[ii, jj] and flag_unst_cell[ii, jj]:
-
                     V_enl[ii, jj] = rho[ii, jj] * S[ii, jj]
 
                     if len(borrowing[ii, jj]) == 0:
-                        print('error in one_step_ect')
-                    for (ip, jp, patch, _) in borrowing[ii, jj]:
-
+                        print("error in one_step_ect")
+                    for ip, jp, patch, _ in borrowing[ii, jj]:
                         V_enl[ii, jj] += rho[ip, jp] * patch
 
                     rho_enl = V_enl[ii, jj] / S_enl[ii, jj]
 
                     # communicate to the intruded cell the intruding rho
-                    for (ip, jp, patch, _) in borrowing[ii, jj]:
+                    for ip, jp, patch, _ in borrowing[ii, jj]:
                         V_enl[ip, jp] += rho_enl * patch
 
-                    Hz[ii, jj] = Hz[ii, jj] - dt/mu_0 * rho_enl
-
+                    Hz[ii, jj] = Hz[ii, jj] - dt / mu_0 * rho_enl
 
         # take care of stable cells
         for ii in range(Nx):
@@ -426,12 +547,11 @@ def one_step_ect(Nx=None, Ny=None, V_enl=None, rho=None, Hz=None, C1=None, flag_
                 if flag_int_cell[ii, jj] and not flag_unst_cell[ii, jj]:
                     # stable cell which hasn't been intruded
                     if not flag_intr_cell[ii, jj]:
-                        Hz[ii, jj] = Hz[ii, jj] - dt/mu_0 * rho[ii, jj]
+                        Hz[ii, jj] = Hz[ii, jj] - dt / mu_0 * rho[ii, jj]
                     # stable cell which has been intruded
                     else:
                         V_enl[ii, jj] += rho[ii, jj] * S_red[ii, jj]
-                        Hz[ii, jj] = Hz[ii, jj] - dt/mu_0 * V_enl[ii, jj] / S[ii, jj]
-
+                        Hz[ii, jj] = Hz[ii, jj] - dt / mu_0 * V_enl[ii, jj] / S[ii, jj]
 
     def compute_v_and_rho(self):
         l_y = self.grid.l_y
@@ -440,25 +560,36 @@ def compute_v_and_rho(self):
             for jj in range(self.Ny):
                 if self.grid.flag_int_cell[ii, jj]:
                     self.Vxy[ii, jj] = (
-                            self.Ey[ii + 1, jj] * l_y[ii + 1, jj] - self.Ey[ii, jj] * l_y[
-                        ii, jj]
-                            - self.Ex[ii, jj + 1] * l_x[ii, jj + 1] + self.Ex[ii, jj] * l_x[
-                                ii, jj])
-                    if self.sol_type != 'DM':
+                        self.Ey[ii + 1, jj] * l_y[ii + 1, jj]
+                        - self.Ey[ii, jj] * l_y[ii, jj]
+                        - self.Ex[ii, jj + 1] * l_x[ii, jj + 1]
+                        + self.Ex[ii, jj] * l_x[ii, jj]
+                    )
+                    if self.sol_type != "DM":
                         self.rho[ii, jj] = self.Vxy[ii, jj] / self.grid.S[ii, jj]
 
     def advance_e_dm(self):
         for ii in range(self.Nx):
             for jj in range(1, self.Ny):
                 if self.grid.l_x[ii, jj] > 0:
-                    self.Ex[ii, jj] = self.Ex[ii, jj] + self.dt / (eps_0 * self.dy) * (
-                            self.Hz[ii, jj] - self.Hz[ii, jj - 1]) - self.C3 * self.Jx[ii, jj]
+                    self.Ex[ii, jj] = (
+                        self.Ex[ii, jj]
+                        + self.dt
+                        / (eps_0 * self.dy)
+                        * (self.Hz[ii, jj] - self.Hz[ii, jj - 1])
+                        - self.C3 * self.Jx[ii, jj]
+                    )
 
         for ii in range(1, self.Nx):
             for jj in range(self.Ny):
                 if self.grid.l_y[ii, jj] > 0:
-                    self.Ey[ii, jj] = self.Ey[ii, jj] - self.dt / (eps_0 * self.dx) * (
-                            self.Hz[ii, jj] - self.Hz[ii - 1, jj]) - self.C3 * self.Jy[ii, jj]
+                    self.Ey[ii, jj] = (
+                        self.Ey[ii, jj]
+                        - self.dt
+                        / (eps_0 * self.dx)
+                        * (self.Hz[ii, jj] - self.Hz[ii - 1, jj])
+                        - self.C3 * self.Jy[ii, jj]
+                    )
 
     def update_e_boundary_dm(self):
         Ex = self.Ex
@@ -466,19 +597,35 @@ def update_e_boundary_dm(self):
         Hz = self.Hz
         if self.pml_lx is not None:
             for jj in range(self.Ny):
-                Ey[0, jj] = Ey[0, jj] - self.C3 * self.Jy[0, jj] - self.dt / (eps_0 * self.dy) * (Hz[0, jj] - self.pml_lx.Hz[-1, jj])
+                Ey[0, jj] = (
+                    Ey[0, jj]
+                    - self.C3 * self.Jy[0, jj]
+                    - self.dt / (eps_0 * self.dy) * (Hz[0, jj] - self.pml_lx.Hz[-1, jj])
+                )
 
         if self.pml_rx is not None:
             for jj in range(self.Ny):
-                Ey[-1, jj] = Ey[-1, jj] - self.C3 * self.Jy[-1, jj] - self.dt / (eps_0 * self.dy) * (self.pml_rx.Hz[0, jj] - Hz[-1, jj])
+                Ey[-1, jj] = (
+                    Ey[-1, jj]
+                    - self.C3 * self.Jy[-1, jj]
+                    - self.dt / (eps_0 * self.dy) * (self.pml_rx.Hz[0, jj] - Hz[-1, jj])
+                )
 
         if self.pml_ly is not None:
             for ii in range(self.Nx):
-                Ex[ii, 0] = Ex[ii, 0] - self.C3 * self.Jx[ii, 0] + self.dt / (eps_0 * self.dy) * (Hz[ii, 0] - self.pml_ly.Hz[ii, -1])
+                Ex[ii, 0] = (
+                    Ex[ii, 0]
+                    - self.C3 * self.Jx[ii, 0]
+                    + self.dt / (eps_0 * self.dy) * (Hz[ii, 0] - self.pml_ly.Hz[ii, -1])
+                )
 
         if self.pml_ry is not None:
             for ii in range(self.Nx):
-                Ex[ii, -1] = Ex[ii, -1] - self.C3 * self.Jx[ii, -1] + self.dt / (eps_0 * self.dy) * (self.pml_ry.Hz[ii, 0] - Hz[ii, -1])
+                Ex[ii, -1] = (
+                    Ex[ii, -1]
+                    - self.C3 * self.Jx[ii, -1]
+                    + self.dt / (eps_0 * self.dy) * (self.pml_ry.Hz[ii, 0] - Hz[ii, -1])
+                )
 
         for block in self.blocks:
             block.update_e_boundary()
diff --git a/wakis/solver3D.py b/wakis/solver3D.py
index 1d9e42b..d0729ce 100644
--- a/wakis/solver3D.py
+++ b/wakis/solver3D.py
@@ -5,6 +5,7 @@
 
 from numba import jit
 
+
 def eq(a, b, tol=1e-8):
     return abs(a - b) < tol
 
@@ -14,17 +15,27 @@ def neq(a, b, tol=1e-8):
 
 
 class EMSolver3D:
-    def __init__(self, grid, sol_type, cfln=0.5,
-                 bc_low=['Dirichlet', 'Dirichlet', 'Dirichlet'], 
-                 bc_high=['Dirichlet', 'Dirichlet', 'Dirichlet'], 
-                 i_s=0, j_s=0, k_s=0, N_pml_low=None, N_pml_high=None):
-    
+    def __init__(
+        self,
+        grid,
+        sol_type,
+        cfln=0.5,
+        bc_low=["Dirichlet", "Dirichlet", "Dirichlet"],
+        bc_high=["Dirichlet", "Dirichlet", "Dirichlet"],
+        i_s=0,
+        j_s=0,
+        k_s=0,
+        N_pml_low=None,
+        N_pml_high=None,
+    ):
         self.grid = grid
         self.type = type
         self.cfln = cfln
 
-        self.dt = cfln / (c_light * np.sqrt(1 / self.grid.dx ** 2 + 1 / self.grid.dy ** 2 +
-                                            1 / self.grid.dz ** 2))
+        self.dt = cfln / (
+            c_light
+            * np.sqrt(1 / self.grid.dx**2 + 1 / self.grid.dy**2 + 1 / self.grid.dz**2)
+        )
         self.dx = self.grid.dx
         self.dy = self.grid.dy
         self.dz = self.grid.dz
@@ -49,17 +60,17 @@ def __init__(self, grid, sol_type, cfln=0.5,
         self.sigma_star_y = np.zeros((Nx + 1, Ny, Nz + 1))
         self.sigma_star_z = np.zeros((Nx + 1, Ny + 1, Nz))
 
-        if bc_low[0] == 'pml':
+        if bc_low[0] == "pml":
             self.N_pml_low[0] = 10 if N_pml_low is None else N_pml_low[0]
-        if bc_low[1] == 'pml':
+        if bc_low[1] == "pml":
             self.N_pml_low[1] = 10 if N_pml_low is None else N_pml_low[1]
-        if bc_low[2] == 'pml':
+        if bc_low[2] == "pml":
             self.N_pml_low[2] = 10 if N_pml_low is None else N_pml_low[2]
-        if bc_high[0] == 'pml':
+        if bc_high[0] == "pml":
             self.N_pml_high[0] = 10 if N_pml_high is None else N_pml_high[0]
-        if bc_high[1] == 'pml':
+        if bc_high[1] == "pml":
             self.N_pml_high[1] = 10 if N_pml_high is None else N_pml_high[1]
-        if bc_high[2] == 'pml':
+        if bc_high[2] == "pml":
             self.N_pml_high[2] = 10 if N_pml_high is None else N_pml_high[2]
 
         self.blocks = []
@@ -88,17 +99,19 @@ def __init__(self, grid, sol_type, cfln=0.5,
         self.rho_yz = np.zeros((self.Nx + 1, self.Ny, self.Nz))
         self.rho_zx = np.zeros((self.Nx, self.Ny + 1, self.Nz))
 
-        if (sol_type is not 'FDTD') and (sol_type is not 'DM') and (sol_type is not 'ECT'):
-            raise ValueError("sol_type must be:\n" +
-                             "\t'FDTD' for standard staircased FDTD\n" +
-                             "\t'DM' for Dey-Mittra conformal FDTD\n" +
-                             "\t'ECT' for Enlarged Cell Technique conformal FDTD")
+        if (sol_type != "FDTD") and (sol_type != "DM") and (sol_type != "ECT"):
+            raise ValueError(
+                "sol_type must be:\n"
+                + "\t'FDTD' for standard staircased FDTD\n"
+                + "\t'DM' for Dey-Mittra conformal FDTD\n"
+                + "\t'ECT' for Enlarged Cell Technique conformal FDTD"
+            )
 
-        if sol_type is 'DM' or sol_type is 'ECT':
+        if sol_type == "DM" or sol_type == "ECT":
             self.Vxy = np.zeros((self.Nx, self.Ny, self.Nz + 1))
             self.Vyz = np.zeros((self.Nx + 1, self.Ny, self.Nz))
             self.Vzx = np.zeros((self.Nx, self.Ny + 1, self.Nz))
-        if sol_type is 'ECT':
+        if sol_type == "ECT":
             self.Vxy_enl = np.zeros((self.Nx, self.Ny, self.Nz + 1))
             self.Vyz_enl = np.zeros((self.Nx + 1, self.Ny, self.Nz))
             self.Vzx_enl = np.zeros((self.Nx, self.Ny + 1, self.Nz))
@@ -124,226 +137,452 @@ def __init__(self, grid, sol_type, cfln=0.5,
     def connect_pmls(self):
         bc_low = self.bc_low
         bc_high = self.bc_high
-        if bc_low[0] is 'pml':
+        if bc_low[0] == "pml":
             i_block = 0
             j_block = 1
             k_block = 1
-            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_low[0], self.Ny, self.Nz, self.dt,
-                                                                    self.dx,
-                                                                    self.dy, self.dz, i_block, j_block, k_block)
+            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                self.N_pml_low[0],
+                self.Ny,
+                self.Nz,
+                self.dt,
+                self.dx,
+                self.dy,
+                self.dz,
+                i_block,
+                j_block,
+                k_block,
+            )
             self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_low[1] is 'pml':
+            if bc_low[1] == "pml":
                 i_block = 0
                 j_block = 0
                 k_block = 1
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_low[0], self.N_pml_low[1], self.Nz,
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.N_pml_low[0],
+                    self.N_pml_low[1],
+                    self.Nz,
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-                if bc_low[2] is 'pml':
+                if bc_low[2] == "pml":
                     i_block = 0
                     j_block = 0
                     k_block = 0
-                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_low[0], self.N_pml_low[1],
-                                                                            self.N_pml_low[2], self.dt, self.dx,
-                                                                            self.dy,
-                                                                            self.dz, i_block, j_block, k_block)
+                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                        self.N_pml_low[0],
+                        self.N_pml_low[1],
+                        self.N_pml_low[2],
+                        self.dt,
+                        self.dx,
+                        self.dy,
+                        self.dz,
+                        i_block,
+                        j_block,
+                        k_block,
+                    )
                     self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-                if bc_high[2] is 'pml':
+                if bc_high[2] == "pml":
                     i_block = 0
                     j_block = 0
                     k_block = 2
-                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_low[0], self.N_pml_low[1],
-                                                                            self.N_pml_high[2], self.dt, self.dx,
-                                                                            self.dy,
-                                                                            self.dz, i_block, j_block, k_block)
+                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                        self.N_pml_low[0],
+                        self.N_pml_low[1],
+                        self.N_pml_high[2],
+                        self.dt,
+                        self.dx,
+                        self.dy,
+                        self.dz,
+                        i_block,
+                        j_block,
+                        k_block,
+                    )
                     self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_high[1] is 'pml':
+            if bc_high[1] == "pml":
                 i_block = 0
                 j_block = 2
                 k_block = 1
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_low[0], self.N_pml_high[1], self.Nz,
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.N_pml_low[0],
+                    self.N_pml_high[1],
+                    self.Nz,
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-                if bc_low[2] is 'pml':
+                if bc_low[2] == "pml":
                     i_block = 0
                     j_block = 2
                     k_block = 0
-                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_low[0], self.N_pml_high[1],
-                                                                            self.N_pml_low[2], self.dt, self.dx,
-                                                                            self.dy,
-                                                                            self.dz, i_block, j_block, k_block)
+                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                        self.N_pml_low[0],
+                        self.N_pml_high[1],
+                        self.N_pml_low[2],
+                        self.dt,
+                        self.dx,
+                        self.dy,
+                        self.dz,
+                        i_block,
+                        j_block,
+                        k_block,
+                    )
                     self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-                if bc_high[2] is 'pml':
+                if bc_high[2] == "pml":
                     i_block = 0
                     j_block = 2
                     k_block = 2
-                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_low[0], self.N_pml_high[1],
-                                                                            self.N_pml_high[2], self.dt, self.dx,
-                                                                            self.dy,
-                                                                            self.dz, i_block, j_block, k_block)
+                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                        self.N_pml_low[0],
+                        self.N_pml_high[1],
+                        self.N_pml_high[2],
+                        self.dt,
+                        self.dx,
+                        self.dy,
+                        self.dz,
+                        i_block,
+                        j_block,
+                        k_block,
+                    )
                     self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_low[2] is 'pml':
+            if bc_low[2] == "pml":
                 i_block = 0
                 j_block = 1
                 k_block = 0
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_low[0], self.Ny, self.N_pml_low[2],
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.N_pml_low[0],
+                    self.Ny,
+                    self.N_pml_low[2],
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_high[2] is 'pml':
+            if bc_high[2] == "pml":
                 i_block = 0
                 j_block = 1
                 k_block = 2
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_low[0], self.Ny, self.N_pml_high[2],
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.N_pml_low[0],
+                    self.Ny,
+                    self.N_pml_high[2],
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
 
-        if bc_high[0] is 'pml':
+        if bc_high[0] == "pml":
             i_block = 2
             j_block = 1
             k_block = 1
-            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_high[0], self.Ny, self.Nz, self.dt,
-                                                                    self.dx, self.dy, self.dz, i_block, j_block,
-                                                                    k_block)
+            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                self.N_pml_high[0],
+                self.Ny,
+                self.Nz,
+                self.dt,
+                self.dx,
+                self.dy,
+                self.dz,
+                i_block,
+                j_block,
+                k_block,
+            )
             self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_low[1] is 'pml':
+            if bc_low[1] == "pml":
                 i_block = 2
                 j_block = 0
                 k_block = 1
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_high[0], self.N_pml_low[1], self.Nz,
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.N_pml_high[0],
+                    self.N_pml_low[1],
+                    self.Nz,
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-                if bc_low[2] is 'pml':
+                if bc_low[2] == "pml":
                     i_block = 2
                     j_block = 0
                     k_block = 0
-                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_high[0], self.N_pml_low[1],
-                                                                            self.N_pml_low[2], self.dt, self.dx,
-                                                                            self.dy,
-                                                                            self.dz, i_block, j_block, k_block)
+                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                        self.N_pml_high[0],
+                        self.N_pml_low[1],
+                        self.N_pml_low[2],
+                        self.dt,
+                        self.dx,
+                        self.dy,
+                        self.dz,
+                        i_block,
+                        j_block,
+                        k_block,
+                    )
                     self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-                if bc_high[2] is 'pml':
+                if bc_high[2] == "pml":
                     i_block = 2
                     j_block = 0
                     k_block = 2
-                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_high[0], self.N_pml_low[1],
-                                                                            self.N_pml_high[2], self.dt, self.dx,
-                                                                            self.dy,
-                                                                            self.dz, i_block, j_block, k_block)
+                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                        self.N_pml_high[0],
+                        self.N_pml_low[1],
+                        self.N_pml_high[2],
+                        self.dt,
+                        self.dx,
+                        self.dy,
+                        self.dz,
+                        i_block,
+                        j_block,
+                        k_block,
+                    )
                     self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_high[1] is 'pml':
+            if bc_high[1] == "pml":
                 i_block = 2
                 j_block = 2
                 k_block = 1
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_high[0], self.N_pml_high[1], self.Nz,
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.N_pml_high[0],
+                    self.N_pml_high[1],
+                    self.Nz,
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-                if bc_low[2] is 'pml':
+                if bc_low[2] == "pml":
                     i_block = 2
                     j_block = 2
                     k_block = 0
-                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_high[0], self.N_pml_high[1],
-                                                                            self.N_pml_low[2], self.dt, self.dx,
-                                                                            self.dy,
-                                                                            self.dz, i_block, j_block, k_block)
+                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                        self.N_pml_high[0],
+                        self.N_pml_high[1],
+                        self.N_pml_low[2],
+                        self.dt,
+                        self.dx,
+                        self.dy,
+                        self.dz,
+                        i_block,
+                        j_block,
+                        k_block,
+                    )
                     self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-                if bc_high[2] is 'pml':
+                if bc_high[2] == "pml":
                     i_block = 2
                     j_block = 2
                     k_block = 2
-                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_high[0], self.N_pml_high[1],
-                                                                            self.N_pml_high[2], self.dt, self.dx,
-                                                                            self.dy,
-                                                                            self.dz, i_block, j_block, k_block)
+                    self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                        self.N_pml_high[0],
+                        self.N_pml_high[1],
+                        self.N_pml_high[2],
+                        self.dt,
+                        self.dx,
+                        self.dy,
+                        self.dz,
+                        i_block,
+                        j_block,
+                        k_block,
+                    )
                     self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_low[2] is 'pml':
+            if bc_low[2] == "pml":
                 i_block = 2
                 j_block = 1
                 k_block = 0
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_high[0], self.Ny, self.N_pml_low[2],
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.N_pml_high[0],
+                    self.Ny,
+                    self.N_pml_low[2],
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_high[2] is 'pml':
+            if bc_high[2] == "pml":
                 i_block = 2
                 j_block = 1
                 k_block = 2
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.N_pml_high[0], self.Ny, self.N_pml_high[2],
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.N_pml_high[0],
+                    self.Ny,
+                    self.N_pml_high[2],
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
 
-        if bc_low[1] is 'pml':
+        if bc_low[1] == "pml":
             i_block = 1
             j_block = 0
             k_block = 1
-            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.Nx, self.N_pml_low[1], self.Nz, self.dt,
-                                                                    self.dx,
-                                                                    self.dy, self.dz, i_block, j_block, k_block)
+            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                self.Nx,
+                self.N_pml_low[1],
+                self.Nz,
+                self.dt,
+                self.dx,
+                self.dy,
+                self.dz,
+                i_block,
+                j_block,
+                k_block,
+            )
             self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_low[2] is 'pml':
+            if bc_low[2] == "pml":
                 i_block = 1
                 j_block = 0
                 k_block = 0
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.Nx, self.N_pml_low[1], self.N_pml_low[2],
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.Nx,
+                    self.N_pml_low[1],
+                    self.N_pml_low[2],
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_high[2] is 'pml':
+            if bc_high[2] == "pml":
                 i_block = 1
                 j_block = 0
                 k_block = 2
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.Nx, self.N_pml_low[1], self.N_pml_high[2],
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.Nx,
+                    self.N_pml_low[1],
+                    self.N_pml_high[2],
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
 
-        if bc_high[1] is 'pml':
+        if bc_high[1] == "pml":
             i_block = 1
             j_block = 2
             k_block = 1
-            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.Nx, self.N_pml_high[1], self.Nz, self.dt,
-                                                                    self.dx, self.dy, self.dz, i_block, j_block,
-                                                                    k_block)
+            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                self.Nx,
+                self.N_pml_high[1],
+                self.Nz,
+                self.dt,
+                self.dx,
+                self.dy,
+                self.dz,
+                i_block,
+                j_block,
+                k_block,
+            )
             self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_low[2] is 'pml':
+            if bc_low[2] == "pml":
                 i_block = 1
                 j_block = 2
                 k_block = 0
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.Nx, self.N_pml_low[1], self.N_pml_low[2],
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.Nx,
+                    self.N_pml_low[1],
+                    self.N_pml_low[2],
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
-            if bc_high[2] is 'pml':
+            if bc_high[2] == "pml":
                 i_block = 1
                 j_block = 2
                 k_block = 2
-                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.Nx, self.N_pml_low[1], self.N_pml_high[2],
-                                                                        self.dt, self.dx, self.dy, self.dz, i_block,
-                                                                        j_block, k_block)
+                self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                    self.Nx,
+                    self.N_pml_low[1],
+                    self.N_pml_high[2],
+                    self.dt,
+                    self.dx,
+                    self.dy,
+                    self.dz,
+                    i_block,
+                    j_block,
+                    k_block,
+                )
                 self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
 
-        if bc_low[2] is 'pml':
+        if bc_low[2] == "pml":
             i_block = 1
             j_block = 1
             k_block = 0
-            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.Nx, self.Ny, self.N_pml_low[2], self.dt,
-                                                                    self.dx,
-                                                                    self.dy, self.dz, i_block, j_block, k_block)
+            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                self.Nx,
+                self.Ny,
+                self.N_pml_low[2],
+                self.dt,
+                self.dx,
+                self.dy,
+                self.dz,
+                i_block,
+                j_block,
+                k_block,
+            )
             self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
 
-        if bc_high[2] is 'pml':
+        if bc_high[2] == "pml":
             i_block = 1
             j_block = 1
             k_block = 2
-            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(self.Nx, self.Ny, self.N_pml_high[2], self.dt,
-                                                                    self.dx, self.dy, self.dz, i_block, j_block,
-                                                                    k_block)
+            self.blocks_mat[i_block, j_block, k_block] = PmlBlock3D(
+                self.Nx,
+                self.Ny,
+                self.N_pml_high[2],
+                self.dt,
+                self.dx,
+                self.dy,
+                self.dz,
+                i_block,
+                j_block,
+                k_block,
+            )
             self.blocks.append(self.blocks_mat[i_block, j_block, k_block])
 
         for block in self.blocks:
@@ -358,350 +597,679 @@ def assemble_conductivities_pmls(self):
         sigma_m_high_z = 0
         Z_0_2 = mu_0 / eps_0
 
-        if self.bc_low[0] is 'pml':
-            sigma_m_low_x = -(self.alpha_pml + 1) * eps_0 * c_light / (2 * (self.N_pml_low[0] - 1) * self.dx) * np.log(self.R0_pml)
-        if self.bc_low[1] is 'pml':
-            sigma_m_low_y = -(self.alpha_pml + 1) * eps_0 * c_light / (2 * (self.N_pml_low[1] - 1) * self.dy) * np.log(self.R0_pml)
-        if self.bc_low[2] is 'pml':
-            sigma_m_low_z = -(self.alpha_pml + 1) * eps_0 * c_light / (2 * (self.N_pml_low[2] - 1) * self.dy) * np.log(self.R0_pml)
-        if self.bc_high[0] is 'pml':
-            sigma_m_high_x = -(self.alpha_pml + 1) * eps_0 * c_light / (2 * (self.N_pml_high[0] - 1) * self.dy) * np.log(self.R0_pml)
-        if self.bc_high[1] is 'pml':
-            sigma_m_high_y = -(self.alpha_pml + 1) * eps_0 * c_light / (2 * (self.N_pml_high[1] - 1) * self.dy) * np.log(self.R0_pml)
-        if self.bc_high[2] is 'pml':
-            sigma_m_high_z = -(self.alpha_pml + 1) * eps_0 * c_light / (2 * (self.N_pml_high[2] - 1) * self.dy) * np.log(self.R0_pml)
-
-
-        if self.bc_low[0] is 'pml':
+        if self.bc_low[0] == "pml":
+            sigma_m_low_x = (
+                -(self.alpha_pml + 1)
+                * eps_0
+                * c_light
+                / (2 * (self.N_pml_low[0] - 1) * self.dx)
+                * np.log(self.R0_pml)
+            )
+        if self.bc_low[1] == "pml":
+            sigma_m_low_y = (
+                -(self.alpha_pml + 1)
+                * eps_0
+                * c_light
+                / (2 * (self.N_pml_low[1] - 1) * self.dy)
+                * np.log(self.R0_pml)
+            )
+        if self.bc_low[2] == "pml":
+            sigma_m_low_z = (
+                -(self.alpha_pml + 1)
+                * eps_0
+                * c_light
+                / (2 * (self.N_pml_low[2] - 1) * self.dy)
+                * np.log(self.R0_pml)
+            )
+        if self.bc_high[0] == "pml":
+            sigma_m_high_x = (
+                -(self.alpha_pml + 1)
+                * eps_0
+                * c_light
+                / (2 * (self.N_pml_high[0] - 1) * self.dy)
+                * np.log(self.R0_pml)
+            )
+        if self.bc_high[1] == "pml":
+            sigma_m_high_y = (
+                -(self.alpha_pml + 1)
+                * eps_0
+                * c_light
+                / (2 * (self.N_pml_high[1] - 1) * self.dy)
+                * np.log(self.R0_pml)
+            )
+        if self.bc_high[2] == "pml":
+            sigma_m_high_z = (
+                -(self.alpha_pml + 1)
+                * eps_0
+                * c_light
+                / (2 * (self.N_pml_high[2] - 1) * self.dy)
+                * np.log(self.R0_pml)
+            )
+
+        if self.bc_low[0] == "pml":
             (i_block, j_block, k_block) = (0, 1, 1)
             for n in range(self.N_pml_low[0]):
-                self.blocks_mat[i_block, j_block, k_block].sigma_x[-(n + 1), :, :] = sigma_m_low_x * (
-                        n / (self.N_pml_low[0])) ** self.alpha_pml
-                self.blocks_mat[i_block, j_block, k_block].sigma_star_x[-(n + 1), :, :] = sigma_m_low_x * (
-                        n / (self.N_pml_low[0])) ** self.alpha_pml*Z_0_2
-            if self.bc_low[1] is 'pml':
+                self.blocks_mat[i_block, j_block, k_block].sigma_x[-(n + 1), :, :] = (
+                    sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                )
+                self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                    -(n + 1), :, :
+                ] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml * Z_0_2
+            if self.bc_low[1] == "pml":
                 (i_block, j_block, k_block) = (0, 0, 1)
                 for n in range((self.N_pml_low[0])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_x[-(n + 1), :, :] = sigma_m_low_x * (
-                            n / (self.N_pml_low[0])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[-(n + 1), :, :] = sigma_m_low_x * (
-                            n / (self.N_pml_low[0])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_x[
+                        -(n + 1), :, :
+                    ] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                        -(n + 1), :, :
+                    ] = (
+                        sigma_m_low_x
+                        * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range((self.N_pml_low[1])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, -(n + 1), :] = sigma_m_low_y * (
-                            n / (self.N_pml_low[1])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, -(n + 1), :] = sigma_m_low_y * (
-                            n / (self.N_pml_low[1])) ** self.alpha_pml*Z_0_2
-                if self.bc_low[2] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_y[
+                        :, -(n + 1), :
+                    ] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                        :, -(n + 1), :
+                    ] = (
+                        sigma_m_low_y
+                        * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+                if self.bc_low[2] == "pml":
                     (i_block, j_block, k_block) = (0, 0, 0)
                     for n in range((self.N_pml_low[0])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_x[-(n + 1), :, :] = sigma_m_low_x * (
-                                n / (self.N_pml_low[0])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[-(n + 1), :, :] = sigma_m_low_x * (
-                                n / (self.N_pml_low[0])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_x[
+                            -(n + 1), :, :
+                        ] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                            -(n + 1), :, :
+                        ] = (
+                            sigma_m_low_x
+                            * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_low[1])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, -(n + 1), :] = sigma_m_low_y * (
-                                n / (self.N_pml_low[1])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, -(n + 1), :] = sigma_m_low_y * (
-                                n / (self.N_pml_low[1])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_y[
+                            :, -(n + 1), :
+                        ] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                            :, -(n + 1), :
+                        ] = (
+                            sigma_m_low_y
+                            * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_low[2])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                                n / (self.N_pml_low[2])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                                n / (self.N_pml_low[2])) ** self.alpha_pml*Z_0_2
-                if self.bc_low[2] is 'pml':
+                        self.blocks_mat[i_block, j_block, k_block].sigma_z[
+                            :, :, -(n + 1)
+                        ] = sigma_m_low_z * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                            :, :, -(n + 1)
+                        ] = (
+                            sigma_m_low_z
+                            * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                            * Z_0_2
+                        )
+                if self.bc_low[2] == "pml":
                     (i_block, j_block, k_block) = (0, 0, 2)
                     for n in range((self.N_pml_low[0])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_x[-(n + 1), :, :] = sigma_m_low_x * (
-                                n / (self.N_pml_low[0])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[-(n + 1), :, :] = sigma_m_low_x * (
-                                n / (self.N_pml_low[0])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_x[
+                            -(n + 1), :, :
+                        ] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                            -(n + 1), :, :
+                        ] = (
+                            sigma_m_low_x
+                            * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_low[1])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, -(n + 1), :] = sigma_m_low_y * (
-                                n / (self.N_pml_low[1])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, -(n + 1), :] = sigma_m_low_y * (
-                                n / (self.N_pml_low[1])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_y[
+                            :, -(n + 1), :
+                        ] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                            :, -(n + 1), :
+                        ] = (
+                            sigma_m_low_y
+                            * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_high[2])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = sigma_m_high_z * (
-                                n / (self.N_pml_high[2])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = sigma_m_high_z * (
-                                n / (self.N_pml_high[2])) ** self.alpha_pml*Z_0_2
-            if self.bc_high[1] is 'pml':
+                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = (
+                            sigma_m_high_z
+                            * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                            :, :, n
+                        ] = (
+                            sigma_m_high_z
+                            * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                            * Z_0_2
+                        )
+            if self.bc_high[1] == "pml":
                 (i_block, j_block, k_block) = (0, 2, 1)
                 for n in range(self.N_pml_low[0]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_x[-(n + 1), :, :] = sigma_m_low_x * (
-                            n / (self.N_pml_low[0])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[-(n + 1), :, :] = sigma_m_low_x * (
-                            n / (self.N_pml_low[0])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_x[
+                        -(n + 1), :, :
+                    ] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                        -(n + 1), :, :
+                    ] = (
+                        sigma_m_low_x
+                        * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range(self.N_pml_high[1]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = sigma_m_high_y * (
-                            n / (self.N_pml_high[1])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = sigma_m_high_y * (
-                            n / (self.N_pml_high[1])) ** self.alpha_pml*Z_0_2
-
-                if self.bc_low[2] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = (
+                        sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = (
+                        sigma_m_high_y
+                        * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+
+                if self.bc_low[2] == "pml":
                     (i_block, j_block, k_block) = (0, 2, 0)
                     for n in range((self.N_pml_low[0])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_x[-(n + 1), :, :] = sigma_m_low_x * (
-                                n / (self.N_pml_low[0])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[-(n + 1), :, :] = sigma_m_low_x * (
-                                n / (self.N_pml_low[0])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_x[
+                            -(n + 1), :, :
+                        ] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                            -(n + 1), :, :
+                        ] = (
+                            sigma_m_low_x
+                            * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_high[1])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = sigma_m_high_y * (
-                                n / (self.N_pml_high[1])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = sigma_m_high_y * (
-                                n / (self.N_pml_high[1])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = (
+                            sigma_m_high_y
+                            * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                            :, n, :
+                        ] = (
+                            sigma_m_high_y
+                            * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_low[2])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                                n / (self.N_pml_low[2])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                                n / (self.N_pml_low[2])) ** self.alpha_pml*Z_0_2
-                if self.bc_low[2] is 'pml':
+                        self.blocks_mat[i_block, j_block, k_block].sigma_z[
+                            :, :, -(n + 1)
+                        ] = sigma_m_low_z * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                            :, :, -(n + 1)
+                        ] = (
+                            sigma_m_low_z
+                            * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                            * Z_0_2
+                        )
+                if self.bc_low[2] == "pml":
                     (i_block, j_block, k_block) = (0, 2, 2)
                     for n in range((self.N_pml_low[0])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_x[-(n + 1), :, :] = sigma_m_low_x * (
-                                n / (self.N_pml_low[0])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[-(n + 1), :, :] = sigma_m_low_x * (
-                                n / (self.N_pml_low[0])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_x[
+                            -(n + 1), :, :
+                        ] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                            -(n + 1), :, :
+                        ] = (
+                            sigma_m_low_x
+                            * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_high[1])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = sigma_m_high_y * (
-                                n / (self.N_pml_high[1])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = sigma_m_high_y * (
-                                n / (self.N_pml_high[1])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = (
+                            sigma_m_high_y
+                            * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                            :, n, :
+                        ] = (
+                            sigma_m_high_y
+                            * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_high[2])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = sigma_m_high_z * (
-                                n / (self.N_pml_high[2])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = sigma_m_high_z * (
-                                n / (self.N_pml_high[2])) ** self.alpha_pml*Z_0_2
-            if self.bc_low[2] is 'pml':
+                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = (
+                            sigma_m_high_z
+                            * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                            :, :, n
+                        ] = (
+                            sigma_m_high_z
+                            * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                            * Z_0_2
+                        )
+            if self.bc_low[2] == "pml":
                 (i_block, j_block, k_block) = (0, 1, 0)
                 for n in range((self.N_pml_low[0])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_x[-(n + 1), :, :] = sigma_m_low_x * (
-                            n / (self.N_pml_low[0])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[-(n + 1), :, :] = sigma_m_low_x * (
-                            n / (self.N_pml_low[0])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_x[
+                        -(n + 1), :, :
+                    ] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                        -(n + 1), :, :
+                    ] = (
+                        sigma_m_low_x
+                        * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range((self.N_pml_low[2])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                            n / (self.N_pml_low[2])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                            n / (self.N_pml_low[2])) ** self.alpha_pml*Z_0_2
-            if self.bc_high[2] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_z[
+                        :, :, -(n + 1)
+                    ] = sigma_m_low_z * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                        :, :, -(n + 1)
+                    ] = (
+                        sigma_m_low_z
+                        * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+            if self.bc_high[2] == "pml":
                 (i_block, j_block, k_block) = (0, 1, 2)
                 for n in range((self.N_pml_low[0])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_x[-(n + 1), :, :] = sigma_m_low_x * (
-                            n / (self.N_pml_low[0])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[-(n + 1), :, :] = sigma_m_low_x * (
-                            n / (self.N_pml_low[0])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_x[
+                        -(n + 1), :, :
+                    ] = sigma_m_low_x * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                        -(n + 1), :, :
+                    ] = (
+                        sigma_m_low_x
+                        * (n / (self.N_pml_low[0])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range((self.N_pml_high[2])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = sigma_m_high_z * (
-                            n / (self.N_pml_high[2])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = sigma_m_high_z * (
-                            n / (self.N_pml_high[2])) ** self.alpha_pml*Z_0_2
-
-        if self.bc_high[0] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = (
+                        sigma_m_high_z * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = (
+                        sigma_m_high_z
+                        * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+
+        if self.bc_high[0] == "pml":
             (i_block, j_block, k_block) = (2, 1, 1)
             for n in range(self.N_pml_high[0]):
-                self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = sigma_m_high_x * (
-                        n / (self.N_pml_high[0])) ** self.alpha_pml
-                self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = sigma_m_high_x * (
-                        n / (self.N_pml_high[0])) ** self.alpha_pml*Z_0_2
-            if self.bc_low[1] is 'pml':
+                self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = (
+                    sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                )
+                self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = (
+                    sigma_m_high_x
+                    * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                    * Z_0_2
+                )
+            if self.bc_low[1] == "pml":
                 (i_block, j_block, k_block) = (2, 0, 1)
                 for n in range(self.N_pml_high[0]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = sigma_m_high_x * (
-                            n / (self.N_pml_high[0])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = sigma_m_high_x * (
-                            n / (self.N_pml_high[0])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = (
+                        sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = (
+                        sigma_m_high_x
+                        * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range((self.N_pml_low[1])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, -(n + 1), :] = sigma_m_low_y * (
-                            n / (self.N_pml_low[1])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, -(n + 1), :] = sigma_m_low_y * (
-                            n / (self.N_pml_low[1])) ** self.alpha_pml*Z_0_2
-                if self.bc_low[2] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_y[
+                        :, -(n + 1), :
+                    ] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                        :, -(n + 1), :
+                    ] = (
+                        sigma_m_low_y
+                        * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+                if self.bc_low[2] == "pml":
                     (i_block, j_block, k_block) = (2, 0, 0)
                     for n in range(self.N_pml_high[0]):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = sigma_m_high_x * (
-                                n / (self.N_pml_high[0])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = sigma_m_high_x * (
-                                n / (self.N_pml_high[0])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = (
+                            sigma_m_high_x
+                            * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                            n, :, :
+                        ] = (
+                            sigma_m_high_x
+                            * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_low[1])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, -(n + 1), :] = sigma_m_low_y * (
-                                n / (self.N_pml_low[1])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, -(n + 1), :] = sigma_m_low_y * (
-                                n / (self.N_pml_low[1])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_y[
+                            :, -(n + 1), :
+                        ] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                            :, -(n + 1), :
+                        ] = (
+                            sigma_m_low_y
+                            * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_low[2])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                                n / (self.N_pml_low[2])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                                n / (self.N_pml_low[2])) ** self.alpha_pml*Z_0_2
-                if self.bc_low[2] is 'pml':
+                        self.blocks_mat[i_block, j_block, k_block].sigma_z[
+                            :, :, -(n + 1)
+                        ] = sigma_m_low_z * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                            :, :, -(n + 1)
+                        ] = (
+                            sigma_m_low_z
+                            * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                            * Z_0_2
+                        )
+                if self.bc_low[2] == "pml":
                     (i_block, j_block, k_block) = (2, 0, 2)
                     for n in range(self.N_pml_high[0]):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = sigma_m_high_x * (
-                                n / (self.N_pml_high[0])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = sigma_m_high_x * (
-                                n / (self.N_pml_high[0])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = (
+                            sigma_m_high_x
+                            * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                            n, :, :
+                        ] = (
+                            sigma_m_high_x
+                            * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_low[1])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, -(n + 1), :] = sigma_m_low_y * (
-                                n / (self.N_pml_low[1])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, -(n + 1), :] = sigma_m_low_y * (
-                                n / (self.N_pml_low[1])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_y[
+                            :, -(n + 1), :
+                        ] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                            :, -(n + 1), :
+                        ] = (
+                            sigma_m_low_y
+                            * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_high[2])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = sigma_m_high_z * (
-                                n / (self.N_pml_high[2])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = sigma_m_high_z * (
-                                n / (self.N_pml_high[2])) ** self.alpha_pml*Z_0_2
-            if self.bc_high[1] is 'pml':
+                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = (
+                            sigma_m_high_z
+                            * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                            :, :, n
+                        ] = (
+                            sigma_m_high_z
+                            * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                            * Z_0_2
+                        )
+            if self.bc_high[1] == "pml":
                 (i_block, j_block, k_block) = (2, 2, 1)
                 for n in range(self.N_pml_high[0]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = sigma_m_high_x * (
-                            n / (self.N_pml_high[0])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = sigma_m_high_x * (
-                            n / (self.N_pml_high[0])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = (
+                        sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = (
+                        sigma_m_high_x
+                        * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range(self.N_pml_high[1]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = sigma_m_high_y * (
-                            n / (self.N_pml_high[1])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = sigma_m_high_y * (
-                            n / (self.N_pml_high[1])) ** self.alpha_pml*Z_0_2
-                if self.bc_low[2] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = (
+                        sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = (
+                        sigma_m_high_y
+                        * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+                if self.bc_low[2] == "pml":
                     (i_block, j_block, k_block) = (2, 2, 0)
                     for n in range(self.N_pml_high[0]):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = sigma_m_high_x * (
-                                n / (self.N_pml_high[0])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = sigma_m_high_x * (
-                                n / (self.N_pml_high[0])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = (
+                            sigma_m_high_x
+                            * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                            n, :, :
+                        ] = (
+                            sigma_m_high_x
+                            * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_high[1])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = sigma_m_high_y * (
-                                n / (self.N_pml_high[1])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = sigma_m_high_y * (
-                                n / (self.N_pml_high[1])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = (
+                            sigma_m_high_y
+                            * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                            :, n, :
+                        ] = (
+                            sigma_m_high_y
+                            * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_low[2])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                                n / (self.N_pml_low[2])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                                n / (self.N_pml_low[2])) ** self.alpha_pml*Z_0_2
-                if self.bc_low[2] is 'pml':
+                        self.blocks_mat[i_block, j_block, k_block].sigma_z[
+                            :, :, -(n + 1)
+                        ] = sigma_m_low_z * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                            :, :, -(n + 1)
+                        ] = (
+                            sigma_m_low_z
+                            * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                            * Z_0_2
+                        )
+                if self.bc_low[2] == "pml":
                     (i_block, j_block, k_block) = (2, 2, 2)
                     for n in range(self.N_pml_high[0]):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = sigma_m_high_x * (
-                                n / (self.N_pml_high[0])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = sigma_m_high_x * (
-                                n / (self.N_pml_high[0])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = (
+                            sigma_m_high_x
+                            * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_x[
+                            n, :, :
+                        ] = (
+                            sigma_m_high_x
+                            * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_high[1])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = sigma_m_high_y * (
-                                n / (self.N_pml_high[1])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = sigma_m_high_y * (
-                                n / (self.N_pml_high[1])) ** self.alpha_pml*Z_0_2
+                        self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = (
+                            sigma_m_high_y
+                            * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                            :, n, :
+                        ] = (
+                            sigma_m_high_y
+                            * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                            * Z_0_2
+                        )
                     for n in range((self.N_pml_high[2])):
-                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = sigma_m_high_z * (
-                                n / (self.N_pml_high[2])) ** self.alpha_pml
-                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = sigma_m_high_z * (
-                                n / (self.N_pml_high[2])) ** self.alpha_pml*Z_0_2
-            if self.bc_low[2] is 'pml':
+                        self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = (
+                            sigma_m_high_z
+                            * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                        )
+                        self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                            :, :, n
+                        ] = (
+                            sigma_m_high_z
+                            * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                            * Z_0_2
+                        )
+            if self.bc_low[2] == "pml":
                 (i_block, j_block, k_block) = (2, 1, 0)
                 for n in range(self.N_pml_high[0]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = sigma_m_high_x * (
-                            n / (self.N_pml_high[0])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = sigma_m_high_x * (
-                            n / (self.N_pml_high[0])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = (
+                        sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = (
+                        sigma_m_high_x
+                        * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range((self.N_pml_low[2])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                            n / (self.N_pml_low[2])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                            n / (self.N_pml_low[2])) ** self.alpha_pml*Z_0_2
-            if self.bc_high[2] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_z[
+                        :, :, -(n + 1)
+                    ] = sigma_m_low_z * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                        :, :, -(n + 1)
+                    ] = (
+                        sigma_m_low_z
+                        * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+            if self.bc_high[2] == "pml":
                 (i_block, j_block, k_block) = (2, 1, 2)
                 for n in range(self.N_pml_high[0]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = sigma_m_high_x * (
-                            n / (self.N_pml_high[0])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = sigma_m_high_x * (
-                            n / (self.N_pml_high[0])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_x[n, :, :] = (
+                        sigma_m_high_x * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_x[n, :, :] = (
+                        sigma_m_high_x
+                        * (n / (self.N_pml_high[0])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range((self.N_pml_high[2])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = sigma_m_high_z * (
-                            n / (self.N_pml_high[2])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = sigma_m_high_z * (
-                            n / (self.N_pml_high[2])) ** self.alpha_pml*Z_0_2
-
-        if self.bc_low[1] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = (
+                        sigma_m_high_z * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = (
+                        sigma_m_high_z
+                        * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+
+        if self.bc_low[1] == "pml":
             (i_block, j_block, k_block) = (1, 0, 1)
             for n in range(self.N_pml_low[1]):
-                self.blocks_mat[i_block, j_block, k_block].sigma_y[:, -(n + 1), :] = sigma_m_low_y * (
-                        n / (self.N_pml_low[1])) ** self.alpha_pml
-                self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, -(n + 1), :] = sigma_m_low_y * (
-                        n / (self.N_pml_low[1])) ** self.alpha_pml*Z_0_2
-            if self.bc_low[2] is 'pml':
+                self.blocks_mat[i_block, j_block, k_block].sigma_y[:, -(n + 1), :] = (
+                    sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                )
+                self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                    :, -(n + 1), :
+                ] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml * Z_0_2
+            if self.bc_low[2] == "pml":
                 (i_block, j_block, k_block) = (1, 0, 0)
                 for n in range(self.N_pml_low[1]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, -(n + 1), :] = sigma_m_low_y * (
-                            n / (self.N_pml_low[1])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, -(n + 1), :] = sigma_m_low_y * (
-                            n / (self.N_pml_low[1])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_y[
+                        :, -(n + 1), :
+                    ] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                        :, -(n + 1), :
+                    ] = (
+                        sigma_m_low_y
+                        * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range((self.N_pml_low[2])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                            n / (self.N_pml_low[2])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                            n / (self.N_pml_low[2])) ** self.alpha_pml*Z_0_2
-            if self.bc_high[2] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_z[
+                        :, :, -(n + 1)
+                    ] = sigma_m_low_z * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                        :, :, -(n + 1)
+                    ] = (
+                        sigma_m_low_z
+                        * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+            if self.bc_high[2] == "pml":
                 (i_block, j_block, k_block) = (1, 0, 2)
                 for n in range(self.N_pml_low[1]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, -(n + 1), :] = sigma_m_low_y * (
-                            n / (self.N_pml_low[1])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, -(n + 1), :] = sigma_m_low_y * (
-                            n / (self.N_pml_low[1])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_y[
+                        :, -(n + 1), :
+                    ] = sigma_m_low_y * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[
+                        :, -(n + 1), :
+                    ] = (
+                        sigma_m_low_y
+                        * (n / (self.N_pml_low[1])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range((self.N_pml_high[2])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = sigma_m_high_z * (
-                            n / (self.N_pml_high[2])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = sigma_m_high_z * (
-                            n / (self.N_pml_high[2])) ** self.alpha_pml*Z_0_2
-
-        if self.bc_high[1] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = (
+                        sigma_m_high_z * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = (
+                        sigma_m_high_z
+                        * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+
+        if self.bc_high[1] == "pml":
             (i_block, j_block, k_block) = (1, 2, 1)
             for n in range(self.N_pml_high[1]):
-                self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = sigma_m_high_y * (
-                        n / (self.N_pml_high[1])) ** self.alpha_pml
-                self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = sigma_m_high_y * (
-                        n / (self.N_pml_high[1])) ** self.alpha_pml*Z_0_2
-            if self.bc_low[2] is 'pml':
+                self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = (
+                    sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                )
+                self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = (
+                    sigma_m_high_y
+                    * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                    * Z_0_2
+                )
+            if self.bc_low[2] == "pml":
                 (i_block, j_block, k_block) = (1, 2, 0)
                 for n in range(self.N_pml_high[1]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = sigma_m_high_y * (
-                            n / (self.N_pml_high[1])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = sigma_m_high_y * (
-                            n / (self.N_pml_high[1])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = (
+                        sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = (
+                        sigma_m_high_y
+                        * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range((self.N_pml_low[2])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                            n / (self.N_pml_low[2])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                            n / (self.N_pml_low[2])) ** self.alpha_pml*Z_0_2
-            if self.bc_high[2] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_z[
+                        :, :, -(n + 1)
+                    ] = sigma_m_low_z * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                        :, :, -(n + 1)
+                    ] = (
+                        sigma_m_low_z
+                        * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+            if self.bc_high[2] == "pml":
                 (i_block, j_block, k_block) = (1, 2, 2)
                 for n in range(self.N_pml_high[1]):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = sigma_m_high_y * (
-                            n / (self.N_pml_high[1])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = sigma_m_high_y * (
-                            n / (self.N_pml_high[1])) ** self.alpha_pml*Z_0_2
+                    self.blocks_mat[i_block, j_block, k_block].sigma_y[:, n, :] = (
+                        sigma_m_high_y * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_y[:, n, :] = (
+                        sigma_m_high_y
+                        * (n / (self.N_pml_high[1])) ** self.alpha_pml
+                        * Z_0_2
+                    )
                 for n in range((self.N_pml_high[2])):
-                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] =  sigma_m_high_z * (
-                            n / (self.N_pml_high[2])) ** self.alpha_pml
-                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] =  sigma_m_high_z * (
-                            n / (self.N_pml_high[2])) ** self.alpha_pml*Z_0_2
-
-        if self.bc_low[2] is 'pml':
+                    self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = (
+                        sigma_m_high_z * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                    )
+                    self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = (
+                        sigma_m_high_z
+                        * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                        * Z_0_2
+                    )
+
+        if self.bc_low[2] == "pml":
             (i_block, j_block, k_block) = (1, 1, 0)
             for n in range((self.N_pml_low[2])):
-                self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                        n / (self.N_pml_low[2])) ** self.alpha_pml
-                self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, -(n + 1)] = sigma_m_low_z * (
-                        n / (self.N_pml_low[2])) ** self.alpha_pml*Z_0_2
-
-        if self.bc_high[2] is 'pml':
+                self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, -(n + 1)] = (
+                    sigma_m_low_z * (n / (self.N_pml_low[2])) ** self.alpha_pml
+                )
+                self.blocks_mat[i_block, j_block, k_block].sigma_star_z[
+                    :, :, -(n + 1)
+                ] = sigma_m_low_z * (n / (self.N_pml_low[2])) ** self.alpha_pml * Z_0_2
+
+        if self.bc_high[2] == "pml":
             (i_block, j_block, k_block) = (1, 1, 2)
             for n in range((self.N_pml_high[2])):
-                self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = sigma_m_high_z * (
-                        n / (self.N_pml_high[2])) ** self.alpha_pml
-                self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = sigma_m_high_z * (
-                        n / (self.N_pml_high[2])) ** self.alpha_pml*Z_0_2
-
-        #for i_block in range(3):
+                self.blocks_mat[i_block, j_block, k_block].sigma_z[:, :, n] = (
+                    sigma_m_high_z * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                )
+                self.blocks_mat[i_block, j_block, k_block].sigma_star_z[:, :, n] = (
+                    sigma_m_high_z
+                    * (n / (self.N_pml_high[2])) ** self.alpha_pml
+                    * Z_0_2
+                )
+
+        # for i_block in range(3):
         #    for j_block in range(3):
         #        for k_block in range(3):
         #            block = self.blocks_mat[i_block, j_block, k_block]
@@ -735,154 +1303,292 @@ def update_e_boundary(self):
         if self.blocks_mat[0, 1, 1] is not None:
             for jj in range(self.Ny):
                 for kk in range(1, self.Nz):
-                    Ey[0, jj, kk] = (Ey[0, jj, kk] - self.C3 * self.Jy[0, jj, kk] +
-                                     self.C8 * (Hx[0, jj, kk] - Hx[0, jj, kk - 1]) -
-                                     self.C5 * (Hz[0, jj, kk] - self.blocks_mat[0, 1, 1].Hz[-1, jj, kk]))
+                    Ey[0, jj, kk] = (
+                        Ey[0, jj, kk]
+                        - self.C3 * self.Jy[0, jj, kk]
+                        + self.C8 * (Hx[0, jj, kk] - Hx[0, jj, kk - 1])
+                        - self.C5
+                        * (Hz[0, jj, kk] - self.blocks_mat[0, 1, 1].Hz[-1, jj, kk])
+                    )
 
             for jj in range(1, self.Ny):
                 for kk in range(self.Nz):
-                    Ez[0, jj, kk] = (Ez[0, jj, kk] - self.C3 * self.Jz[0, jj, kk] +
-                                     self.C5 * (Hy[0, jj, kk] - self.blocks_mat[0, 1, 1].Hy[-1, jj, kk]) -
-                                     self.C4 * (Hx[0, jj, kk] - Hx[0, jj - 1, kk]))
+                    Ez[0, jj, kk] = (
+                        Ez[0, jj, kk]
+                        - self.C3 * self.Jz[0, jj, kk]
+                        + self.C5
+                        * (Hy[0, jj, kk] - self.blocks_mat[0, 1, 1].Hy[-1, jj, kk])
+                        - self.C4 * (Hx[0, jj, kk] - Hx[0, jj - 1, kk])
+                    )
 
         if self.blocks_mat[1, 0, 1] is not None:
             for ii in range(self.Nx):
                 for kk in range(1, self.Nz):
-                    Ex[ii, 0, kk] = (Ex[ii, 0, kk] - self.C3 * self.Jx[ii, 0, kk] +
-                                     self.C4 * (Hz[ii, 0, kk] - self.blocks_mat[1, 0, 1].Hz[ii, -1, kk]) -
-                                     self.C8 * (Hy[ii, 0, kk] - Hy[ii, 0, kk - 1]))
+                    Ex[ii, 0, kk] = (
+                        Ex[ii, 0, kk]
+                        - self.C3 * self.Jx[ii, 0, kk]
+                        + self.C4
+                        * (Hz[ii, 0, kk] - self.blocks_mat[1, 0, 1].Hz[ii, -1, kk])
+                        - self.C8 * (Hy[ii, 0, kk] - Hy[ii, 0, kk - 1])
+                    )
             for ii in range(1, self.Nx):
                 for kk in range(self.Nz):
-                    Ez[ii, 0, kk] = (Ez[ii, 0, kk] - self.C3 * self.Jz[ii, 0, kk] +
-                                     self.C5 * (Hy[ii, 0, kk] - Hy[ii - 1, 0, kk]) -
-                                     self.C4 * (Hx[ii, 0, kk] - self.blocks_mat[1, 0, 1].Hx[ii, -1, kk]))
+                    Ez[ii, 0, kk] = (
+                        Ez[ii, 0, kk]
+                        - self.C3 * self.Jz[ii, 0, kk]
+                        + self.C5 * (Hy[ii, 0, kk] - Hy[ii - 1, 0, kk])
+                        - self.C4
+                        * (Hx[ii, 0, kk] - self.blocks_mat[1, 0, 1].Hx[ii, -1, kk])
+                    )
 
         if self.blocks_mat[1, 1, 0] is not None:
             for ii in range(self.Nx):
                 for jj in range(1, self.Ny):
-                    Ex[ii, jj, 0] = (Ex[ii, jj, 0] - self.C3 * self.Jx[ii, jj, 0] +
-                                     self.C4 * (Hz[ii, jj, 0] - Hz[ii, jj - 1, 0]) -
-                                     self.C8 * (Hy[ii, jj, 0] - self.blocks_mat[1, 1, 0].Hy[ii, jj, -1]))
+                    Ex[ii, jj, 0] = (
+                        Ex[ii, jj, 0]
+                        - self.C3 * self.Jx[ii, jj, 0]
+                        + self.C4 * (Hz[ii, jj, 0] - Hz[ii, jj - 1, 0])
+                        - self.C8
+                        * (Hy[ii, jj, 0] - self.blocks_mat[1, 1, 0].Hy[ii, jj, -1])
+                    )
             for ii in range(1, self.Nx):
                 for jj in range(self.Ny):
-                    Ey[ii, jj, 0] = (Ey[ii, jj, 0] - self.C3 * self.Jy[ii, jj, 0] +
-                                     self.C8 * (Hx[ii, jj, 0] - self.blocks_mat[1, 1, 0].Hx[ii, jj, -1]) -
-                                     self.C5 * (Hz[ii, jj, 0] - Hz[ii - 1, jj, 0]))
+                    Ey[ii, jj, 0] = (
+                        Ey[ii, jj, 0]
+                        - self.C3 * self.Jy[ii, jj, 0]
+                        + self.C8
+                        * (Hx[ii, jj, 0] - self.blocks_mat[1, 1, 0].Hx[ii, jj, -1])
+                        - self.C5 * (Hz[ii, jj, 0] - Hz[ii - 1, jj, 0])
+                    )
 
         # Update E on "upper" faces
         if self.blocks_mat[2, 1, 1] is not None:
             for jj in range(self.Ny):
                 for kk in range(1, self.Nz):
-                    Ey[Nx, jj, kk] = (Ey[Nx, jj, kk] - self.C3 * self.Jy[Nx, jj, kk] +
-                                      self.C8 * (Hx[Nx, jj, kk] - Hx[Nx, jj, kk - 1]) -
-                                      self.C5 * (self.blocks_mat[2, 1, 1].Hz[0, jj, kk] - Hz[Nx - 1, jj, kk]))
+                    Ey[Nx, jj, kk] = (
+                        Ey[Nx, jj, kk]
+                        - self.C3 * self.Jy[Nx, jj, kk]
+                        + self.C8 * (Hx[Nx, jj, kk] - Hx[Nx, jj, kk - 1])
+                        - self.C5
+                        * (self.blocks_mat[2, 1, 1].Hz[0, jj, kk] - Hz[Nx - 1, jj, kk])
+                    )
             for jj in range(1, self.Ny):
                 for kk in range(self.Nz):
-                    Ez[Nx, jj, kk] = (Ez[Nx, jj, kk] - self.C3 * self.Jz[Nx, jj, kk] +
-                                      self.C5 * (self.blocks_mat[2, 1, 1].Hy[0, jj, kk] - Hy[Nx - 1, jj, kk]) -
-                                      self.C4 * (Hx[Nx, jj, kk] - Hx[Nx, jj - 1, kk]))
+                    Ez[Nx, jj, kk] = (
+                        Ez[Nx, jj, kk]
+                        - self.C3 * self.Jz[Nx, jj, kk]
+                        + self.C5
+                        * (self.blocks_mat[2, 1, 1].Hy[0, jj, kk] - Hy[Nx - 1, jj, kk])
+                        - self.C4 * (Hx[Nx, jj, kk] - Hx[Nx, jj - 1, kk])
+                    )
 
         if self.blocks_mat[1, 2, 1] is not None:
             for ii in range(self.Nx):
                 for kk in range(1, self.Nz):
-                    Ex[ii, Ny, kk] = (Ex[ii, Ny, kk] - self.C3 * self.Jx[ii, Ny, kk] +
-                                      self.C4 * (self.blocks_mat[1, 2, 1].Hz[ii, 0, kk] - Hz[ii, Ny - 1, kk]) -
-                                      self.C8 * (Hy[ii, Ny, kk] - Hy[ii, Ny, kk - 1]))
+                    Ex[ii, Ny, kk] = (
+                        Ex[ii, Ny, kk]
+                        - self.C3 * self.Jx[ii, Ny, kk]
+                        + self.C4
+                        * (self.blocks_mat[1, 2, 1].Hz[ii, 0, kk] - Hz[ii, Ny - 1, kk])
+                        - self.C8 * (Hy[ii, Ny, kk] - Hy[ii, Ny, kk - 1])
+                    )
             for ii in range(1, self.Nx):
                 for kk in range(self.Nz):
-                    Ez[ii, Ny, kk] = (Ez[ii, Ny, kk] - self.C3 * self.Jz[ii, Ny, kk] +
-                                      self.C5 * (Hy[ii, Ny, kk] - Hy[ii - 1, Ny, kk]) -
-                                      self.C4 * (self.blocks_mat[1, 2, 1].Hx[ii, 0, kk] - Hx[ii, Ny - 1, kk]))
+                    Ez[ii, Ny, kk] = (
+                        Ez[ii, Ny, kk]
+                        - self.C3 * self.Jz[ii, Ny, kk]
+                        + self.C5 * (Hy[ii, Ny, kk] - Hy[ii - 1, Ny, kk])
+                        - self.C4
+                        * (self.blocks_mat[1, 2, 1].Hx[ii, 0, kk] - Hx[ii, Ny - 1, kk])
+                    )
 
         if self.blocks_mat[1, 1, 2] is not None:
             for ii in range(self.Nx):
                 for jj in range(1, self.Ny):
-                    Ex[ii, jj, Nz] = (Ex[ii, jj, Nz] - self.C3 * self.Jx[ii, jj, Nz] +
-                                      self.C4 * (Hz[ii, jj, Nz] - Hz[ii, jj - 1, Nz]) -
-                                      self.C8 * (self.blocks_mat[1, 1, 2].Hy[ii, jj, 0] - Hy[ii, jj, Nz - 1]))
+                    Ex[ii, jj, Nz] = (
+                        Ex[ii, jj, Nz]
+                        - self.C3 * self.Jx[ii, jj, Nz]
+                        + self.C4 * (Hz[ii, jj, Nz] - Hz[ii, jj - 1, Nz])
+                        - self.C8
+                        * (self.blocks_mat[1, 1, 2].Hy[ii, jj, 0] - Hy[ii, jj, Nz - 1])
+                    )
             for ii in range(1, self.Nx):
                 for jj in range(self.Ny):
-                    Ey[ii, jj, Nz] = (Ey[ii, jj, Nz] - self.C3 * self.Jy[ii, jj, Nz] +
-                                      self.C8 * (self.blocks_mat[1, 1, 2].Hx[ii, jj, 0] - Hx[ii, jj, Nz - 1]) -
-                                      self.C5 * (Hz[ii, jj, Nz] - Hz[ii - 1, jj, Nz]))
+                    Ey[ii, jj, Nz] = (
+                        Ey[ii, jj, Nz]
+                        - self.C3 * self.Jy[ii, jj, Nz]
+                        + self.C8
+                        * (self.blocks_mat[1, 1, 2].Hx[ii, jj, 0] - Hx[ii, jj, Nz - 1])
+                        - self.C5 * (Hz[ii, jj, Nz] - Hz[ii - 1, jj, Nz])
+                    )
         # Update Ez on edges (xy)
-        if self.blocks_mat[0, 1, 1] is not None and self.blocks_mat[1, 0, 1] is not None:
+        if (
+            self.blocks_mat[0, 1, 1] is not None
+            and self.blocks_mat[1, 0, 1] is not None
+        ):
             for kk in range(Nz):
-                Ez[0, 0, kk] = (Ez[0, 0, kk] - self.C3 * self.Jz[0, 0, kk] +
-                                 self.C5 * (Hy[0, 0, kk] - self.blocks_mat[0, 1, 1].Hy[-1, 0, kk]) -
-                                 self.C4 * (Hx[0, 0, kk] - self.blocks_mat[1, 0, 1].Hx[0, -1, kk]))
-        if self.blocks_mat[0, 1, 1] is not None and self.blocks_mat[1, 2, 1] is not None:
+                Ez[0, 0, kk] = (
+                    Ez[0, 0, kk]
+                    - self.C3 * self.Jz[0, 0, kk]
+                    + self.C5 * (Hy[0, 0, kk] - self.blocks_mat[0, 1, 1].Hy[-1, 0, kk])
+                    - self.C4 * (Hx[0, 0, kk] - self.blocks_mat[1, 0, 1].Hx[0, -1, kk])
+                )
+        if (
+            self.blocks_mat[0, 1, 1] is not None
+            and self.blocks_mat[1, 2, 1] is not None
+        ):
             for kk in range(Nz):
-                Ez[0, Ny, kk] = (Ez[0, Ny, kk] - self.C3 * self.Jz[0, Ny, kk] +
-                                  self.C5 * (Hy[0, Ny, kk] - self.blocks_mat[0, 1, 1].Hy[-1, Ny, kk]) -
-                                  self.C4 * (self.blocks_mat[1, 2, 1].Hx[0, 0, kk] - Hx[0, Ny - 1, kk]))
-        if self.blocks_mat[2, 1, 1] is not None and self.blocks_mat[1, 0, 1] is not None:
+                Ez[0, Ny, kk] = (
+                    Ez[0, Ny, kk]
+                    - self.C3 * self.Jz[0, Ny, kk]
+                    + self.C5
+                    * (Hy[0, Ny, kk] - self.blocks_mat[0, 1, 1].Hy[-1, Ny, kk])
+                    - self.C4
+                    * (self.blocks_mat[1, 2, 1].Hx[0, 0, kk] - Hx[0, Ny - 1, kk])
+                )
+        if (
+            self.blocks_mat[2, 1, 1] is not None
+            and self.blocks_mat[1, 0, 1] is not None
+        ):
             for kk in range(Nz):
-                Ez[Nx, 0, kk] = (Ez[Nx, 0, kk] - self.C3 * self.Jz[Nx, 0, kk] +
-                                  self.C5 * (self.blocks_mat[2, 1, 1].Hy[0, 0, kk] - Hy[Nx - 1, 0, kk]) -
-                                  self.C4 * (Hx[Nx, 0, kk] - self.blocks_mat[1, 0, 1].Hx[Nx, -1, kk]))
-        if self.blocks_mat[2, 1, 1] is not None and self.blocks_mat[1, 2, 1] is not None:
+                Ez[Nx, 0, kk] = (
+                    Ez[Nx, 0, kk]
+                    - self.C3 * self.Jz[Nx, 0, kk]
+                    + self.C5
+                    * (self.blocks_mat[2, 1, 1].Hy[0, 0, kk] - Hy[Nx - 1, 0, kk])
+                    - self.C4
+                    * (Hx[Nx, 0, kk] - self.blocks_mat[1, 0, 1].Hx[Nx, -1, kk])
+                )
+        if (
+            self.blocks_mat[2, 1, 1] is not None
+            and self.blocks_mat[1, 2, 1] is not None
+        ):
             for kk in range(Nz):
-                Ez[Nx, Ny, kk] = (Ez[Nx, Ny, kk] - self.C3 * self.Jz[Nx, Ny, kk] +
-                                  self.C5 * (self.blocks_mat[2, 1, 1].Hy[0, Ny, kk] - Hy[Nx - 1, Ny, kk]) -
-                                  self.C4 * (self.blocks_mat[1, 2, 1].Hx[Nx, 0, kk] - Hx[Nx, Ny - 1, kk]))
+                Ez[Nx, Ny, kk] = (
+                    Ez[Nx, Ny, kk]
+                    - self.C3 * self.Jz[Nx, Ny, kk]
+                    + self.C5
+                    * (self.blocks_mat[2, 1, 1].Hy[0, Ny, kk] - Hy[Nx - 1, Ny, kk])
+                    - self.C4
+                    * (self.blocks_mat[1, 2, 1].Hx[Nx, 0, kk] - Hx[Nx, Ny - 1, kk])
+                )
         # Update Ex on edges (yz)
-        if self.blocks_mat[1, 0, 1] is not None and self.blocks_mat[1, 1, 0] is not None:
+        if (
+            self.blocks_mat[1, 0, 1] is not None
+            and self.blocks_mat[1, 1, 0] is not None
+        ):
             for ii in range(Nx):
-                Ex[ii, 0, 0] = (Ex[ii, 0, 0] - self.C3 * self.Jx[ii, 0, 0] +
-                                  self.C4 * (Hz[ii, 0, 0] - self.blocks_mat[1, 0, 1].Hz[ii, -1, 0]) -
-                                  self.C8 * (Hy[ii, 0, 0] - self.blocks_mat[1, 1, 0].Hy[ii, 0, -1]))
-        if self.blocks_mat[1, 0, 1] is not None and self.blocks_mat[1, 1, 2] is not None:
+                Ex[ii, 0, 0] = (
+                    Ex[ii, 0, 0]
+                    - self.C3 * self.Jx[ii, 0, 0]
+                    + self.C4 * (Hz[ii, 0, 0] - self.blocks_mat[1, 0, 1].Hz[ii, -1, 0])
+                    - self.C8 * (Hy[ii, 0, 0] - self.blocks_mat[1, 1, 0].Hy[ii, 0, -1])
+                )
+        if (
+            self.blocks_mat[1, 0, 1] is not None
+            and self.blocks_mat[1, 1, 2] is not None
+        ):
             for ii in range(Nx):
-                Ex[ii, 0, Nz] = (Ex[ii, 0, Nz] - self.C3 * self.Jx[ii, 0, Nz] +
-                                  self.C4 * (Hz[ii, 0, Nz] - self.blocks_mat[1, 0, 1].Hz[ii, -1, Nz]) -
-                                  self.C8 * (self.blocks_mat[1, 1, 2].Hy[ii, 0, 0] - Hy[ii, 0, Nz - 1]))
-        if self.blocks_mat[1, 2, 1] is not None and self.blocks_mat[1, 1, 0] is not None:
+                Ex[ii, 0, Nz] = (
+                    Ex[ii, 0, Nz]
+                    - self.C3 * self.Jx[ii, 0, Nz]
+                    + self.C4
+                    * (Hz[ii, 0, Nz] - self.blocks_mat[1, 0, 1].Hz[ii, -1, Nz])
+                    - self.C8
+                    * (self.blocks_mat[1, 1, 2].Hy[ii, 0, 0] - Hy[ii, 0, Nz - 1])
+                )
+        if (
+            self.blocks_mat[1, 2, 1] is not None
+            and self.blocks_mat[1, 1, 0] is not None
+        ):
             for ii in range(Nx):
-                Ex[ii, Ny, 0] = (Ex[ii, Ny, 0] - self.C3 * self.Jx[ii, Ny, 0] +
-                                  self.C4 * (self.blocks_mat[1, 2, 1].Hz[ii, 0, 0] - Hz[ii, Ny - 1, 0]) -
-                                  self.C8 * (Hy[ii, Ny, 0] - self.blocks_mat[1, 1, 0].Hy[ii, Ny, -1]))
-        if self.blocks_mat[1, 2, 1] is not None and self.blocks_mat[1, 1, 2] is not None:
+                Ex[ii, Ny, 0] = (
+                    Ex[ii, Ny, 0]
+                    - self.C3 * self.Jx[ii, Ny, 0]
+                    + self.C4
+                    * (self.blocks_mat[1, 2, 1].Hz[ii, 0, 0] - Hz[ii, Ny - 1, 0])
+                    - self.C8
+                    * (Hy[ii, Ny, 0] - self.blocks_mat[1, 1, 0].Hy[ii, Ny, -1])
+                )
+        if (
+            self.blocks_mat[1, 2, 1] is not None
+            and self.blocks_mat[1, 1, 2] is not None
+        ):
             for ii in range(Nx):
-                Ex[ii, Ny, Nz] = (Ex[ii, Ny, Nz] - self.C3 * self.Jx[ii, Ny, Nz] +
-                                  self.C4 * (self.blocks_mat[1, 2, 1].Hz[ii, 0, Nz] - Hz[ii, Ny - 1, Nz]) -
-                                  self.C8 * (self.blocks_mat[1, 1, 2].Hy[ii, Ny, 0] - Hy[ii, Ny, Nz - 1]))
+                Ex[ii, Ny, Nz] = (
+                    Ex[ii, Ny, Nz]
+                    - self.C3 * self.Jx[ii, Ny, Nz]
+                    + self.C4
+                    * (self.blocks_mat[1, 2, 1].Hz[ii, 0, Nz] - Hz[ii, Ny - 1, Nz])
+                    - self.C8
+                    * (self.blocks_mat[1, 1, 2].Hy[ii, Ny, 0] - Hy[ii, Ny, Nz - 1])
+                )
 
         # Update Ey on edges (xz)
-        if self.blocks_mat[0, 1, 1] is not None and self.blocks_mat[1, 1, 0] is not None:
+        if (
+            self.blocks_mat[0, 1, 1] is not None
+            and self.blocks_mat[1, 1, 0] is not None
+        ):
             for jj in range(Ny):
-                Ey[0, jj, 0] = (Ey[0, jj, 0] - self.C3 * self.Jy[0, jj, 0] +
-                                  self.C8 * (Hx[0, jj, 0] - self.blocks_mat[1, 1, 0].Hx[0, jj, -1]) -
-                                  self.C5 * (Hz[0, jj, 0] - self.blocks_mat[0, 1, 1].Hz[-1, jj, 0]))
-        if self.blocks_mat[0, 1, 1] is not None and self.blocks_mat[1, 1, 2] is not None:
+                Ey[0, jj, 0] = (
+                    Ey[0, jj, 0]
+                    - self.C3 * self.Jy[0, jj, 0]
+                    + self.C8 * (Hx[0, jj, 0] - self.blocks_mat[1, 1, 0].Hx[0, jj, -1])
+                    - self.C5 * (Hz[0, jj, 0] - self.blocks_mat[0, 1, 1].Hz[-1, jj, 0])
+                )
+        if (
+            self.blocks_mat[0, 1, 1] is not None
+            and self.blocks_mat[1, 1, 2] is not None
+        ):
             for jj in range(Ny):
-                Ey[0, jj, Nz] = (Ey[0, jj, Nz] - self.C3 * self.Jy[0, jj, Nz] +
-                                  self.C8 * (self.blocks_mat[1, 1, 2].Hx[0, jj, 0] - Hx[0, jj, Nz - 1]) -
-                                  self.C5 * (Hz[0, jj, Nz] - self.blocks_mat[0, 1, 1].Hz[-1, jj, Nz]))
-        if self.blocks_mat[2, 1, 1] is not None and self.blocks_mat[1, 1, 0] is not None:
+                Ey[0, jj, Nz] = (
+                    Ey[0, jj, Nz]
+                    - self.C3 * self.Jy[0, jj, Nz]
+                    + self.C8
+                    * (self.blocks_mat[1, 1, 2].Hx[0, jj, 0] - Hx[0, jj, Nz - 1])
+                    - self.C5
+                    * (Hz[0, jj, Nz] - self.blocks_mat[0, 1, 1].Hz[-1, jj, Nz])
+                )
+        if (
+            self.blocks_mat[2, 1, 1] is not None
+            and self.blocks_mat[1, 1, 0] is not None
+        ):
             for jj in range(Ny):
-                Ey[Nx, jj, 0] = (Ey[Nx, jj, 0] - self.C3 * self.Jy[Nx, jj, 0] +
-                                  self.C8 * (Hx[Nx, jj, 0] - self.blocks_mat[1, 1, 0].Hx[Nx, jj, -1]) -
-                                  self.C5 * (self.blocks_mat[2, 1, 1].Hz[0, jj, 0] - Hz[Nx - 1, jj, 0]))
-        if self.blocks_mat[2, 1, 1] is not None and self.blocks_mat[1, 1, 2] is not None:
+                Ey[Nx, jj, 0] = (
+                    Ey[Nx, jj, 0]
+                    - self.C3 * self.Jy[Nx, jj, 0]
+                    + self.C8
+                    * (Hx[Nx, jj, 0] - self.blocks_mat[1, 1, 0].Hx[Nx, jj, -1])
+                    - self.C5
+                    * (self.blocks_mat[2, 1, 1].Hz[0, jj, 0] - Hz[Nx - 1, jj, 0])
+                )
+        if (
+            self.blocks_mat[2, 1, 1] is not None
+            and self.blocks_mat[1, 1, 2] is not None
+        ):
             for jj in range(Ny):
-                Ey[Nx, jj, Nz] = (Ey[Nx, jj, Nz] - self.C3 * self.Jy[Nx, jj, Nz] +
-                                  self.C8 * (self.blocks_mat[1, 1, 2].Hx[Nx, jj, 0] - Hx[Nx, jj, Nz - 1]) -
-                                  self.C5 * (self.blocks_mat[2, 1, 1].Hz[0, jj, Nz] - Hz[Nx - 1, jj, Nz]))
+                Ey[Nx, jj, Nz] = (
+                    Ey[Nx, jj, Nz]
+                    - self.C3 * self.Jy[Nx, jj, Nz]
+                    + self.C8
+                    * (self.blocks_mat[1, 1, 2].Hx[Nx, jj, 0] - Hx[Nx, jj, Nz - 1])
+                    - self.C5
+                    * (self.blocks_mat[2, 1, 1].Hz[0, jj, Nz] - Hz[Nx - 1, jj, Nz])
+                )
 
     def gauss(self, t):
         tau = 10 * self.dt
         if t < 6 * tau:
-            return 100 * np.exp(-(t - 3 * tau) ** 2 / tau ** 2)
+            return 100 * np.exp(-((t - 3 * tau) ** 2) / tau**2)
         else:
-            return 0.
+            return 0.0
 
     def one_step(self):
-        if self.sol_type == 'ECT':
+        if self.sol_type == "ECT":
             self.one_step_ect()
-        if self.sol_type == 'FDTD':
+        if self.sol_type == "FDTD":
             self.one_step_fdtd()
-        if self.sol_type == 'DM':
+        if self.sol_type == "DM":
             self.one_step_dm()
 
         self.time += self.dt
@@ -901,17 +1607,49 @@ def one_step_ect(self):
             block.sum_e_fields()
 
     def one_step_fdtd(self):
-        self.advance_h_fdtd(self.grid.Sxy, self.grid.Syz, self.grid.Szx, self.Ex, self.Ey,
-                            self.Ez, self.Hx, self.Hy, self.Hz, self.Nx, self.Ny, self.Nz,
-                            self.C1, self.C2, self.C7)
+        self.advance_h_fdtd(
+            self.grid.Sxy,
+            self.grid.Syz,
+            self.grid.Szx,
+            self.Ex,
+            self.Ey,
+            self.Ez,
+            self.Hx,
+            self.Hy,
+            self.Hz,
+            self.Nx,
+            self.Ny,
+            self.Nz,
+            self.C1,
+            self.C2,
+            self.C7,
+        )
 
         for block in self.blocks:
             block.advance_h_fdtd()
 
             block.sum_h_fields()
-        self.advance_e_fdtd(self.grid.l_x, self.grid.l_y, self.grid.l_z, self.Ex, self.Ey, self.Ez,
-                            self.Hx, self.Hy, self.Hz, self.Jx, self.Jy, self.Jz, self.Nx, self.Ny,
-                            self.Nz, self.C3, self.C4, self.C5, self.C8)
+        self.advance_e_fdtd(
+            self.grid.l_x,
+            self.grid.l_y,
+            self.grid.l_z,
+            self.Ex,
+            self.Ey,
+            self.Ez,
+            self.Hx,
+            self.Hy,
+            self.Hz,
+            self.Jx,
+            self.Jy,
+            self.Jz,
+            self.Nx,
+            self.Ny,
+            self.Nz,
+            self.C3,
+            self.C4,
+            self.C5,
+            self.C8,
+        )
         self.update_e_boundary()
         for block in self.blocks:
             block.advance_e_fdtd()
@@ -921,59 +1659,74 @@ def one_step_fdtd(self):
     @staticmethod
     @jit(nopython=True)
     def advance_h_fdtd(Sxy, Syz, Szx, Ex, Ey, Ez, Hx, Hy, Hz, Nx, Ny, Nz, C1, C2, C7):
-
         # Compute cell voltages
         for ii in range(Nx + 1):
             for jj in range(Ny):
                 for kk in range(Nz):
                     if Syz[ii, jj, kk] > 0:
-                        Hx[ii, jj, kk] = (Hx[ii, jj, kk] -
-                                          C2 * (Ez[ii, jj + 1, kk] - Ez[ii, jj, kk]) +
-                                          C7 * (Ey[ii, jj, kk + 1] - Ey[ii, jj, kk]))
+                        Hx[ii, jj, kk] = (
+                            Hx[ii, jj, kk]
+                            - C2 * (Ez[ii, jj + 1, kk] - Ez[ii, jj, kk])
+                            + C7 * (Ey[ii, jj, kk + 1] - Ey[ii, jj, kk])
+                        )
 
         for ii in range(Nx):
             for jj in range(Ny + 1):
                 for kk in range(Nz):
                     if Szx[ii, jj, kk] > 0:
-                        Hy[ii, jj, kk] = (Hy[ii, jj, kk] -
-                                          C7 * (Ex[ii, jj, kk + 1] - Ex[ii, jj, kk]) +
-                                          C1 * (Ez[ii + 1, jj, kk] - Ez[ii, jj, kk]))
+                        Hy[ii, jj, kk] = (
+                            Hy[ii, jj, kk]
+                            - C7 * (Ex[ii, jj, kk + 1] - Ex[ii, jj, kk])
+                            + C1 * (Ez[ii + 1, jj, kk] - Ez[ii, jj, kk])
+                        )
 
         for ii in range(Nx):
             for jj in range(Ny):
                 for kk in range(Nz + 1):
                     if Sxy[ii, jj, kk] > 0:
-                        Hz[ii, jj, kk] = (Hz[ii, jj, kk] -
-                                          C1 * (Ey[ii + 1, jj, kk] - Ey[ii, jj, kk]) +
-                                          C2 * (Ex[ii, jj + 1, kk] - Ex[ii, jj, kk]))
+                        Hz[ii, jj, kk] = (
+                            Hz[ii, jj, kk]
+                            - C1 * (Ey[ii + 1, jj, kk] - Ey[ii, jj, kk])
+                            + C2 * (Ex[ii, jj + 1, kk] - Ex[ii, jj, kk])
+                        )
 
     @staticmethod
     @jit(nopython=True)
-    def advance_e_fdtd(l_x, l_y, l_z, Ex, Ey, Ez, Hx, Hy, Hz, Jx, Jy, Jz, Nx, Ny, Nz, C3, C4, C5, C8):
-
+    def advance_e_fdtd(
+        l_x, l_y, l_z, Ex, Ey, Ez, Hx, Hy, Hz, Jx, Jy, Jz, Nx, Ny, Nz, C3, C4, C5, C8
+    ):
         for ii in range(Nx):
             for jj in range(1, Ny):
                 for kk in range(1, Nz):
                     if l_x[ii, jj, kk] > 0:
-                        Ex[ii, jj, kk] = (Ex[ii, jj, kk] - C3 * Jx[ii, jj, kk] +
-                                          C4 * (Hz[ii, jj, kk] - Hz[ii, jj - 1, kk]) -
-                                          C8 * (Hy[ii, jj, kk] - Hy[ii, jj, kk - 1]))
+                        Ex[ii, jj, kk] = (
+                            Ex[ii, jj, kk]
+                            - C3 * Jx[ii, jj, kk]
+                            + C4 * (Hz[ii, jj, kk] - Hz[ii, jj - 1, kk])
+                            - C8 * (Hy[ii, jj, kk] - Hy[ii, jj, kk - 1])
+                        )
 
         for ii in range(1, Nx):
             for jj in range(Ny):
                 for kk in range(1, Nz):
                     if l_y[ii, jj, kk] > 0:
-                        Ey[ii, jj, kk] = (Ey[ii, jj, kk] - C3 * Jy[ii, jj, kk] +
-                                          C8 * (Hx[ii, jj, kk] - Hx[ii, jj, kk - 1]) -
-                                          C5 * (Hz[ii, jj, kk] - Hz[ii - 1, jj, kk]))
+                        Ey[ii, jj, kk] = (
+                            Ey[ii, jj, kk]
+                            - C3 * Jy[ii, jj, kk]
+                            + C8 * (Hx[ii, jj, kk] - Hx[ii, jj, kk - 1])
+                            - C5 * (Hz[ii, jj, kk] - Hz[ii - 1, jj, kk])
+                        )
 
         for ii in range(1, Nx):
             for jj in range(1, Ny):
                 for kk in range(Nz):
                     if l_z[ii, jj, kk] > 0:
-                        Ez[ii, jj, kk] = (Ez[ii, jj, kk] - C3 * Jz[ii, jj, kk] +
-                                          C5 * (Hy[ii, jj, kk] - Hy[ii - 1, jj, kk]) -
-                                          C4 * (Hx[ii, jj, kk] - Hx[ii, jj - 1, kk]))
+                        Ez[ii, jj, kk] = (
+                            Ez[ii, jj, kk]
+                            - C3 * Jz[ii, jj, kk]
+                            + C5 * (Hy[ii, jj, kk] - Hy[ii - 1, jj, kk])
+                            - C4 * (Hx[ii, jj, kk] - Hx[ii, jj - 1, kk])
+                        )
 
     def one_step_dm(self):
         self.compute_v_and_rho()
@@ -982,62 +1735,97 @@ def one_step_dm(self):
             for j in range(self.Ny):
                 for k in range(self.Nz + 1):
                     if self.grid.flag_int_cell_xy[i, j, k]:
-                        self.Hz[i, j, k] = (self.Hz[i, j, k] -
-                                            self.dt / (mu_0 * self.grid.Sxy[i, j, k]) *
-                                            self.Vxy[i, j, k])
+                        self.Hz[i, j, k] = (
+                            self.Hz[i, j, k]
+                            - self.dt
+                            / (mu_0 * self.grid.Sxy[i, j, k])
+                            * self.Vxy[i, j, k]
+                        )
 
         for i in range(self.Nx + 1):
             for j in range(self.Ny):
                 for k in range(self.Nz):
                     if self.grid.flag_int_cell_yz[i, j, k]:
-                        self.Hx[i, j, k] = (self.Hx[i, j, k] -
-                                            self.dt / (mu_0 * self.grid.Syz[i, j, k]) *
-                                            self.Vyz[i, j, k])
+                        self.Hx[i, j, k] = (
+                            self.Hx[i, j, k]
+                            - self.dt
+                            / (mu_0 * self.grid.Syz[i, j, k])
+                            * self.Vyz[i, j, k]
+                        )
 
         for i in range(self.Nx):
             for j in range(self.Ny + 1):
                 for k in range(self.Nz):
                     if self.grid.flag_int_cell_zx[i, j, k]:
-                        self.Hy[i, j, k] = (self.Hy[i, j, k] -
-                                            self.dt / (mu_0 * self.grid.Szx[i, j, k]) *
-                                            self.Vzx[i, j, k])
+                        self.Hy[i, j, k] = (
+                            self.Hy[i, j, k]
+                            - self.dt
+                            / (mu_0 * self.grid.Szx[i, j, k])
+                            * self.Vzx[i, j, k]
+                        )
 
         self.advance_e_dm()
 
     def advance_h_ect(self, dt=None):
-
         for ii in range(self.Nx + 1):
-            EMSolver2D.advance_h_ect(Nx=self.Ny, Ny=self.Nz, V_enl=self.Vyz_enl[ii, :, :],
-                                    rho=self.rho_yz[ii, :, :], Hz=self.Hx[ii, :, :], C1=self.CN,
-                                    flag_int_cell=self.grid.flag_int_cell_yz[ii, :, :],
-                                    flag_unst_cell=self.grid.flag_unst_cell_yz[ii, :, :],
-                                    flag_intr_cell=self.grid.flag_intr_cell_yz[ii,:,:],
-                                    S=self.grid.Syz[ii, :, :],
-                                    borrowing=self.grid.borrowing_yz[ii, :, :],
-                                    S_enl=self.grid.Syz_enl[ii, :, :],
-                                    S_red=self.grid.Syz_red[ii, :, :], dt=dt, comp='x', kk=ii)
+            EMSolver2D.advance_h_ect(
+                Nx=self.Ny,
+                Ny=self.Nz,
+                V_enl=self.Vyz_enl[ii, :, :],
+                rho=self.rho_yz[ii, :, :],
+                Hz=self.Hx[ii, :, :],
+                C1=self.CN,
+                flag_int_cell=self.grid.flag_int_cell_yz[ii, :, :],
+                flag_unst_cell=self.grid.flag_unst_cell_yz[ii, :, :],
+                flag_intr_cell=self.grid.flag_intr_cell_yz[ii, :, :],
+                S=self.grid.Syz[ii, :, :],
+                borrowing=self.grid.borrowing_yz[ii, :, :],
+                S_enl=self.grid.Syz_enl[ii, :, :],
+                S_red=self.grid.Syz_red[ii, :, :],
+                dt=dt,
+                comp="x",
+                kk=ii,
+            )
 
         for jj in range(self.Ny + 1):
-            EMSolver2D.advance_h_ect(Nx=self.Nx, Ny=self.Nz, V_enl=self.Vzx_enl[:, jj, :],
-                                    rho=self.rho_zx[:, jj, :], Hz=self.Hy[:, jj, :], C1=self.CN,
-                                    flag_int_cell=self.grid.flag_int_cell_zx[:, jj, :],
-                                    flag_unst_cell=self.grid.flag_unst_cell_zx[:, jj, :],
-                                    flag_intr_cell=self.grid.flag_intr_cell_zx[:,jj,:],
-                                    S=self.grid.Szx[:, jj, :],
-                                    borrowing=self.grid.borrowing_zx[:, jj, :],
-                                    S_enl=self.grid.Szx_enl[:, jj, :],
-                                    S_red=self.grid.Szx_red[:, jj, :], dt=dt, comp='y', kk=jj)
+            EMSolver2D.advance_h_ect(
+                Nx=self.Nx,
+                Ny=self.Nz,
+                V_enl=self.Vzx_enl[:, jj, :],
+                rho=self.rho_zx[:, jj, :],
+                Hz=self.Hy[:, jj, :],
+                C1=self.CN,
+                flag_int_cell=self.grid.flag_int_cell_zx[:, jj, :],
+                flag_unst_cell=self.grid.flag_unst_cell_zx[:, jj, :],
+                flag_intr_cell=self.grid.flag_intr_cell_zx[:, jj, :],
+                S=self.grid.Szx[:, jj, :],
+                borrowing=self.grid.borrowing_zx[:, jj, :],
+                S_enl=self.grid.Szx_enl[:, jj, :],
+                S_red=self.grid.Szx_red[:, jj, :],
+                dt=dt,
+                comp="y",
+                kk=jj,
+            )
 
         for kk in range(self.Nz + 1):
-            EMSolver2D.advance_h_ect(Nx=self.Nx, Ny=self.Ny, V_enl=self.Vxy_enl[:, :, kk],
-                                    rho=self.rho_xy[:, :, kk], Hz=self.Hz[:, :, kk], C1=self.CN,
-                                    flag_int_cell=self.grid.flag_int_cell_xy[:, :, kk],
-                                    flag_unst_cell=self.grid.flag_unst_cell_xy[:, :, kk],
-                                    flag_intr_cell=self.grid.flag_intr_cell_xy[:,:,kk],
-                                    S=self.grid.Sxy[:, :, kk],
-                                    borrowing=self.grid.borrowing_xy[:, :, kk],
-                                    S_enl=self.grid.Sxy_enl[:, :, kk],
-                                    S_red=self.grid.Sxy_red[:, :, kk], dt=dt, comp='z', kk=kk)
+            EMSolver2D.advance_h_ect(
+                Nx=self.Nx,
+                Ny=self.Ny,
+                V_enl=self.Vxy_enl[:, :, kk],
+                rho=self.rho_xy[:, :, kk],
+                Hz=self.Hz[:, :, kk],
+                C1=self.CN,
+                flag_int_cell=self.grid.flag_int_cell_xy[:, :, kk],
+                flag_unst_cell=self.grid.flag_unst_cell_xy[:, :, kk],
+                flag_intr_cell=self.grid.flag_intr_cell_xy[:, :, kk],
+                S=self.grid.Sxy[:, :, kk],
+                borrowing=self.grid.borrowing_xy[:, :, kk],
+                S_enl=self.grid.Sxy_enl[:, :, kk],
+                S_red=self.grid.Sxy_red[:, :, kk],
+                dt=dt,
+                comp="z",
+                kk=kk,
+            )
 
     def compute_v_and_rho(self):
         l_x = self.grid.l_x
@@ -1048,46 +1836,53 @@ def compute_v_and_rho(self):
             for jj in range(self.Ny):
                 for kk in range(self.Nz + 1):
                     if self.grid.flag_int_cell_xy[ii, jj, kk]:
-                        self.Vxy[ii, jj, kk] = (self.Ex[ii, jj, kk] * l_x[ii, jj, kk] -
-                                                self.Ex[ii, jj + 1, kk] * l_x[ii, jj + 1, kk] +
-                                                self.Ey[ii + 1, jj, kk] * l_y[ii + 1, jj, kk] -
-                                                self.Ey[ii, jj, kk] * l_y[ii, jj, kk])
-
-                        if self.sol_type != 'DM':
-                            self.rho_xy[ii, jj, kk] = (self.Vxy[ii, jj, kk] /
-                                                       self.grid.Sxy[ii, jj, kk])
-
+                        self.Vxy[ii, jj, kk] = (
+                            self.Ex[ii, jj, kk] * l_x[ii, jj, kk]
+                            - self.Ex[ii, jj + 1, kk] * l_x[ii, jj + 1, kk]
+                            + self.Ey[ii + 1, jj, kk] * l_y[ii + 1, jj, kk]
+                            - self.Ey[ii, jj, kk] * l_y[ii, jj, kk]
+                        )
+
+                        if self.sol_type != "DM":
+                            self.rho_xy[ii, jj, kk] = (
+                                self.Vxy[ii, jj, kk] / self.grid.Sxy[ii, jj, kk]
+                            )
 
         for ii in range(self.Nx + 1):
             for jj in range(self.Ny):
                 for kk in range(self.Nz):
                     if self.grid.flag_int_cell_yz[ii, jj, kk]:
-                        self.Vyz[ii, jj, kk] = (self.Ey[ii, jj, kk] * l_y[ii, jj, kk] -
-                                                self.Ey[ii, jj, kk + 1] * l_y[ii, jj, kk + 1] +
-                                                self.Ez[ii, jj + 1, kk] * l_z[ii, jj + 1, kk] -
-                                                self.Ez[ii, jj, kk] * l_z[ii, jj, kk])
-
-                        if self.sol_type != 'DM':
-                            self.rho_yz[ii, jj, kk] = (self.Vyz[ii, jj, kk] /
-                                                       self.grid.Syz[ii, jj, kk])
-
+                        self.Vyz[ii, jj, kk] = (
+                            self.Ey[ii, jj, kk] * l_y[ii, jj, kk]
+                            - self.Ey[ii, jj, kk + 1] * l_y[ii, jj, kk + 1]
+                            + self.Ez[ii, jj + 1, kk] * l_z[ii, jj + 1, kk]
+                            - self.Ez[ii, jj, kk] * l_z[ii, jj, kk]
+                        )
+
+                        if self.sol_type != "DM":
+                            self.rho_yz[ii, jj, kk] = (
+                                self.Vyz[ii, jj, kk] / self.grid.Syz[ii, jj, kk]
+                            )
 
         for ii in range(self.Nx):
             for jj in range(self.Ny + 1):
                 for kk in range(self.Nz):
                     if self.grid.flag_int_cell_zx[ii, jj, kk]:
-                        self.Vzx[ii, jj, kk] = (self.Ez[ii, jj, kk] * l_z[ii, jj, kk] -
-                                                self.Ez[ii + 1, jj, kk] * l_z[ii + 1, jj, kk] +
-                                                self.Ex[ii, jj, kk + 1] * l_x[ii, jj, kk + 1] -
-                                                self.Ex[ii, jj, kk] * l_x[ii, jj, kk])
-
-                        if self.sol_type != 'DM':
-                            self.rho_zx[ii, jj, kk] = (self.Vzx[ii, jj, kk] /
-                                                       self.grid.Szx[ii, jj, kk])
+                        self.Vzx[ii, jj, kk] = (
+                            self.Ez[ii, jj, kk] * l_z[ii, jj, kk]
+                            - self.Ez[ii + 1, jj, kk] * l_z[ii + 1, jj, kk]
+                            + self.Ex[ii, jj, kk + 1] * l_x[ii, jj, kk + 1]
+                            - self.Ex[ii, jj, kk] * l_x[ii, jj, kk]
+                        )
+
+                        if self.sol_type != "DM":
+                            self.rho_zx[ii, jj, kk] = (
+                                self.Vzx[ii, jj, kk] / self.grid.Szx[ii, jj, kk]
+                            )
 
     def advance_e_dm(self, dt=None):
-
-        if dt==None: dt = self.dt
+        if dt is None:
+            dt = self.dt
 
         Ex = self.Ex
         Ey = self.Ey
@@ -1096,31 +1891,40 @@ def advance_e_dm(self, dt=None):
         Hy = self.Hy
         Hz = self.Hz
 
-        C4 = dt / (self.dy * eps_0)
-        C5 = dt / (self.dx * eps_0)
-        C8 = dt / (self.dz * eps_0)
-        C3 = dt / eps_0
+        dt / (self.dy * eps_0)
+        dt / (self.dx * eps_0)
+        dt / (self.dz * eps_0)
+        dt / eps_0
 
         for ii in range(self.Nx):
             for jj in range(1, self.Ny):
                 for kk in range(1, self.Nz):
                     if self.grid.l_x[ii, jj, kk] > 0:
-                        Ex[ii, jj, kk] = (Ex[ii, jj, kk] - self.C3 * self.Jx[ii, jj, kk] +
-                                          self.C4 * (Hz[ii, jj, kk] - Hz[ii, jj - 1, kk]) -
-                                          self.C8 * (Hy[ii, jj, kk] - Hy[ii, jj, kk - 1]))
+                        Ex[ii, jj, kk] = (
+                            Ex[ii, jj, kk]
+                            - self.C3 * self.Jx[ii, jj, kk]
+                            + self.C4 * (Hz[ii, jj, kk] - Hz[ii, jj - 1, kk])
+                            - self.C8 * (Hy[ii, jj, kk] - Hy[ii, jj, kk - 1])
+                        )
 
         for ii in range(1, self.Nx):
             for jj in range(self.Ny):
                 for kk in range(1, self.Nz):
                     if self.grid.l_y[ii, jj, kk] > 0:
-                        Ey[ii, jj, kk] = (Ey[ii, jj, kk] - self.C3 * self.Jy[ii, jj, kk] +
-                                          self.C8 * (Hx[ii, jj, kk] - Hx[ii, jj, kk - 1]) -
-                                          self.C5 * (Hz[ii, jj, kk] - Hz[ii - 1, jj, kk]))
+                        Ey[ii, jj, kk] = (
+                            Ey[ii, jj, kk]
+                            - self.C3 * self.Jy[ii, jj, kk]
+                            + self.C8 * (Hx[ii, jj, kk] - Hx[ii, jj, kk - 1])
+                            - self.C5 * (Hz[ii, jj, kk] - Hz[ii - 1, jj, kk])
+                        )
 
         for ii in range(1, self.Nx):
             for jj in range(1, self.Ny):
                 for kk in range(self.Nz):
                     if self.grid.l_z[ii, jj, kk] > 0:
-                        Ez[ii, jj, kk] = (Ez[ii, jj, kk] - self.C3 * self.Jz[ii, jj, kk] +
-                                          self.C5 * (Hy[ii, jj, kk] - Hy[ii - 1, jj, kk]) -
-                                          self.C4 * (Hx[ii, jj, kk] - Hx[ii, jj - 1, kk]))
+                        Ez[ii, jj, kk] = (
+                            Ez[ii, jj, kk]
+                            - self.C3 * self.Jz[ii, jj, kk]
+                            + self.C5 * (Hy[ii, jj, kk] - Hy[ii - 1, jj, kk])
+                            - self.C4 * (Hx[ii, jj, kk] - Hx[ii, jj - 1, kk])
+                        )
diff --git a/wakis/solverFIT3D.py b/wakis/solverFIT3D.py
index 6dd0084..9898619 100644
--- a/wakis/solverFIT3D.py
+++ b/wakis/solverFIT3D.py
@@ -19,26 +19,38 @@
 
 try:
     from cupyx.scipy.sparse import csc_matrix as gpu_sparse_mat
+
     imported_cupyx = True
 except ImportError:
     imported_cupyx = False
 
 try:
     from sparse_dot_mkl import csr_matrix as mkl_sparse_mat, dot_product_mkl
+
     imported_mkl = True
 except ImportError:
     imported_mkl = False
 
 
 class SolverFIT3D(PlotMixin, RoutinesMixin):
-
-    def __init__(self, grid, wake=None, cfln=0.5, dt=None,
-                 bc_low=['Periodic', 'Periodic', 'Periodic'],
-                 bc_high=['Periodic', 'Periodic', 'Periodic'],
-                 use_stl=False, use_conductors=False,
-                 use_gpu=False, use_mpi=False, dtype=np.float64,
-                 n_pml=10, bg=[1.0, 1.0], verbose=1):
-        '''
+    def __init__(
+        self,
+        grid,
+        wake=None,
+        cfln=0.5,
+        dt=None,
+        bc_low=["Periodic", "Periodic", "Periodic"],
+        bc_high=["Periodic", "Periodic", "Periodic"],
+        use_stl=False,
+        use_conductors=False,
+        use_gpu=False,
+        use_mpi=False,
+        dtype=np.float64,
+        n_pml=10,
+        bg=[1.0, 1.0],
+        verbose=1,
+    ):
+        """
         Class holding the 3D time-domain electromagnetic solver
         algorithm based on the Finite Integration Technique (FIT)
 
@@ -92,7 +104,7 @@ def __init__(self, grid, wake=None, cfln=0.5, dt=None,
             Object to access the μ^-1 tensor containing 1/permeability values in the 3 dimensions.
         sigma: Field object
             Object to access the condutcity σ tensor in the 3 dimensions.
-        '''
+        """
 
         self.verbose = verbose
         t0 = time.time()
@@ -106,14 +118,16 @@ def __init__(self, grid, wake=None, cfln=0.5, dt=None,
         self.use_stl = use_stl
         self.use_gpu = use_gpu
         self.use_mpi = use_mpi
-        self.activate_abc = False        # Will turn true if abc BCs are chosen
-        self.activate_pml = False        # Will turn true if pml BCs are chosen
-        self.use_conductivity = False    # Will turn true if conductive material or pml is added
-        self.imported_mkl = imported_mkl # Use MKL backend when available
+        self.activate_abc = False  # Will turn true if abc BCs are chosen
+        self.activate_pml = False  # Will turn true if pml BCs are chosen
+        self.use_conductivity = (
+            False  # Will turn true if conductive material or pml is added
+        )
+        self.imported_mkl = imported_mkl  # Use MKL backend when available
         self.one_step = self._one_step
         if use_stl:
             self.use_conductors = False
-        self.update_logger(['use_gpu', 'use_mpi'])
+        self.update_logger(["use_gpu", "use_mpi"])
 
         # Grid
         self.grid = grid
@@ -121,32 +135,38 @@ def __init__(self, grid, wake=None, cfln=0.5, dt=None,
         self.Nx = self.grid.Nx
         self.Ny = self.grid.Ny
         self.Nz = self.grid.Nz
-        self.N = self.Nx*self.Ny*self.Nz
+        self.N = self.Nx * self.Ny * self.Nz
 
         self.dx = self.grid.dx
         self.dy = self.grid.dy
         self.dz = self.grid.dz
 
-        self.x = self.grid.x[:-1]+self.dx/2
-        self.y = self.grid.y[:-1]+self.dy/2
-        self.z = self.grid.z[:-1]+self.dz/2
+        self.x = self.grid.x[:-1] + self.dx / 2
+        self.y = self.grid.y[:-1] + self.dy / 2
+        self.z = self.grid.z[:-1] + self.dz / 2
 
         self.L = self.grid.L
         self.iA = self.grid.iA
         self.tL = self.grid.tL
         self.itA = self.grid.itA
-        self.update_logger(['grid','background'])
+        self.update_logger(["grid", "background"])
 
         # Wake computation
         self.wake = wake
         if self.wake is not None:
-            self.logger.wakeSolver=self.wake.logger.wakeSolver
+            self.logger.wakeSolver = self.wake.logger.wakeSolver
 
         # Fields
         self.dtype = dtype
-        self.E = Field(self.Nx, self.Ny, self.Nz, use_gpu=self.use_gpu, dtype=self.dtype)
-        self.H = Field(self.Nx, self.Ny, self.Nz, use_gpu=self.use_gpu, dtype=self.dtype)
-        self.J = Field(self.Nx, self.Ny, self.Nz, use_gpu=self.use_gpu, dtype=self.dtype)
+        self.E = Field(
+            self.Nx, self.Ny, self.Nz, use_gpu=self.use_gpu, dtype=self.dtype
+        )
+        self.H = Field(
+            self.Nx, self.Ny, self.Nz, use_gpu=self.use_gpu, dtype=self.dtype
+        )
+        self.J = Field(
+            self.Nx, self.Ny, self.Nz, use_gpu=self.use_gpu, dtype=self.dtype
+        )
 
         # MPI init
         if self.use_mpi:
@@ -154,54 +174,66 @@ def __init__(self, grid, wake=None, cfln=0.5, dt=None,
                 self.mpi_initialize()
                 self.one_step = self.mpi_one_step
             else:
-                print('[!] Grid not subdivided for MPI, set `use_mpi`=True also in `GridFIT3D` to enable MPI')
+                print(
+                    "[!] Grid not subdivided for MPI, set `use_mpi`=True also in `GridFIT3D` to enable MPI"
+                )
 
         # Matrices
         if verbose:
-            print('Assembling operator matrices...')
+            print("Assembling operator matrices...")
         N = self.N
         self.Px = diags([-1, 1], [0, 1], shape=(N, N), dtype=np.int8)
         self.Py = diags([-1, 1], [0, self.Nx], shape=(N, N), dtype=np.int8)
-        self.Pz = diags([-1, 1], [0, self.Nx*self.Ny], shape=(N, N), dtype=np.int8)
+        self.Pz = diags([-1, 1], [0, self.Nx * self.Ny], shape=(N, N), dtype=np.int8)
 
         # original grid
-        self.Ds = diags(self.L.toarray(), shape=(3*N, 3*N), dtype=self.dtype)
-        self.iDa = diags(self.iA.toarray(), shape=(3*N, 3*N), dtype=self.dtype)
+        self.Ds = diags(self.L.toarray(), shape=(3 * N, 3 * N), dtype=self.dtype)
+        self.iDa = diags(self.iA.toarray(), shape=(3 * N, 3 * N), dtype=self.dtype)
 
         # tilde grid
-        self.tDs = diags(self.tL.toarray(), shape=(3*N, 3*N), dtype=self.dtype)
-        self.itDa = diags(self.itA.toarray(), shape=(3*N, 3*N), dtype=self.dtype)
+        self.tDs = diags(self.tL.toarray(), shape=(3 * N, 3 * N), dtype=self.dtype)
+        self.itDa = diags(self.itA.toarray(), shape=(3 * N, 3 * N), dtype=self.dtype)
 
         # Curl matrix
-        self.C = vstack([
-                            hstack([sparse_mat((N,N)), -self.Pz, self.Py]),
-                            hstack([self.Pz, sparse_mat((N,N)), -self.Px]),
-                            hstack([-self.Py, self.Px, sparse_mat((N,N))])
-                        ], dtype=np.int8)
+        self.C = vstack(
+            [
+                hstack([sparse_mat((N, N)), -self.Pz, self.Py]),
+                hstack([self.Pz, sparse_mat((N, N)), -self.Px]),
+                hstack([-self.Py, self.Px, sparse_mat((N, N))]),
+            ],
+            dtype=np.int8,
+        )
 
         # Boundaries
         if verbose:
-            print('Applying boundary conditions...')
+            print("Applying boundary conditions...")
         self.bc_low = bc_low
         self.bc_high = bc_high
-        self.update_logger(['bc_low', 'bc_high'])
+        self.update_logger(["bc_low", "bc_high"])
         self.apply_bc_to_C()
 
         # Materials
         if verbose:
-            print('Adding material tensors...')
+            print("Adding material tensors...")
         if type(bg) is str:
             bg = material_lib[bg.lower()]
 
         if len(bg) == 3:
-            self.eps_bg, self.mu_bg, self.sigma_bg = bg[0]*eps_0, bg[1]*mu_0, bg[2]
+            self.eps_bg, self.mu_bg, self.sigma_bg = bg[0] * eps_0, bg[1] * mu_0, bg[2]
             self.use_conductivity = True
         else:
-            self.eps_bg, self.mu_bg, self.sigma_bg = bg[0]*eps_0, bg[1]*mu_0, 0.0
-
-        self.ieps = Field(self.Nx, self.Ny, self.Nz, use_ones=True, dtype=self.dtype)*(1./self.eps_bg)
-        self.imu = Field(self.Nx, self.Ny, self.Nz, use_ones=True, dtype=self.dtype)*(1./self.mu_bg)
-        self.sigma = Field(self.Nx, self.Ny, self.Nz, use_ones=True, dtype=self.dtype)*self.sigma_bg
+            self.eps_bg, self.mu_bg, self.sigma_bg = bg[0] * eps_0, bg[1] * mu_0, 0.0
+
+        self.ieps = Field(
+            self.Nx, self.Ny, self.Nz, use_ones=True, dtype=self.dtype
+        ) * (1.0 / self.eps_bg)
+        self.imu = Field(self.Nx, self.Ny, self.Nz, use_ones=True, dtype=self.dtype) * (
+            1.0 / self.mu_bg
+        )
+        self.sigma = (
+            Field(self.Nx, self.Ny, self.Nz, use_ones=True, dtype=self.dtype)
+            * self.sigma_bg
+        )
 
         if self.use_stl:
             self.apply_stl()
@@ -209,50 +241,52 @@ def __init__(self, grid, wake=None, cfln=0.5, dt=None,
         # Fill PML BCs
         if self.activate_pml:
             if verbose:
-                print('Filling PML sigmas...')
+                print("Filling PML sigmas...")
             self.n_pml = n_pml
             self.pml_lo = 5.0e-3
             self.pml_hi = 10.0
             self.pml_func = np.geomspace
             self.pml_eps_r = 1.0
             self.fill_pml_sigmas()
-            self.update_logger(['n_pml'])
+            self.update_logger(["n_pml"])
 
         # Timestep calculation
         if verbose:
-            print('Calculating maximal stable timestep...')
+            print("Calculating maximal stable timestep...")
         self.cfln = cfln
         if dt is None:
             self.dt = cfln / (c_light * np.sqrt(1 / np.min(self.grid.dx) ** 2 + 1 / np.min(self.grid.dy) ** 2 + 1 / np.min(self.grid.dz) ** 2))
         else:
             self.dt = dt
         self.dt = dtype(self.dt)
-        self.update_logger(['dt'])
+        self.update_logger(["dt"])
 
-        if self.use_conductivity: # relaxation time criterion tau
+        if self.use_conductivity:  # relaxation time criterion tau
+            mask = np.logical_and(
+                self.sigma.toarray() != 0,  # for non-conductive
+                self.ieps.toarray() != 0,
+            )  # for PEC eps=inf
 
-            mask = np.logical_and(self.sigma.toarray()!=0, #for non-conductive
-                                self.ieps.toarray()!=0)  #for PEC eps=inf
-
-            self.tau = (1/self.ieps.toarray()[mask]) / \
-                        self.sigma.toarray()[mask]
+            self.tau = (1 / self.ieps.toarray()[mask]) / self.sigma.toarray()[mask]
 
             if self.dt > self.tau.min():
                 self.dt = self.tau.min()
 
         # Pre-computing
         if verbose:
-            print('Pre-computing...')
-        self.iDeps = diags(self.ieps.toarray(), shape=(3*N, 3*N), dtype=self.dtype)
-        self.iDmu = diags(self.imu.toarray(), shape=(3*N, 3*N), dtype=self.dtype)
-        self.Dsigma = diags(self.sigma.toarray(), shape=(3*N, 3*N), dtype=self.dtype)
+            print("Pre-computing...")
+        self.iDeps = diags(self.ieps.toarray(), shape=(3 * N, 3 * N), dtype=self.dtype)
+        self.iDmu = diags(self.imu.toarray(), shape=(3 * N, 3 * N), dtype=self.dtype)
+        self.Dsigma = diags(
+            self.sigma.toarray(), shape=(3 * N, 3 * N), dtype=self.dtype
+        )
 
         self.tDsiDmuiDaC = self.iDa * self.iDmu * self.C * self.Ds
         self.itDaiDepsDstC = self.iDeps * self.itDa * self.C.transpose() * self.tDs
 
-        if imported_mkl and not self.use_gpu: # MKL backend for CPU
+        if imported_mkl and not self.use_gpu:  # MKL backend for CPU
             if verbose:
-                print('Using MKL backend for time-stepping...')
+                print("Using MKL backend for time-stepping...")
             self.tDsiDmuiDaC = mkl_sparse_mat(self.tDsiDmuiDaC)
             self.itDaiDepsDstC = mkl_sparse_mat(self.itDaiDepsDstC)
             self.one_step = self.one_step_mkl
@@ -260,20 +294,22 @@ def __init__(self, grid, wake=None, cfln=0.5, dt=None,
         # Move to GPU
         if use_gpu:
             if verbose:
-                print('Moving to GPU...')
+                print("Moving to GPU...")
             if imported_cupyx:
                 self.tDsiDmuiDaC = gpu_sparse_mat(self.tDsiDmuiDaC)
                 self.itDaiDepsDstC = gpu_sparse_mat(self.itDaiDepsDstC)
                 self.ieps.to_gpu()
                 self.sigma.to_gpu()
             else:
-                raise ImportError('[!] cupyx could not be imported, please check CUDA installation')
+                raise ImportError(
+                    "[!] cupyx could not be imported, please check CUDA installation"
+                )
 
         if verbose:
-            print(f'Total solver initialization time: {time.time() - t0} s')
+            print(f"Total solver initialization time: {time.time() - t0} s")
 
         self.solverInitializationTime = time.time() - t0
-        self.update_logger(['solverInitializationTime'])
+        self.update_logger(["solverInitializationTime"])
 
         self.solverInitializationTime = time.time() - t0
         self.update_logger(['solverInitializationTime'])
@@ -289,20 +325,32 @@ def update_tensors(self, tensor='all'):
             Name of the tensor to update: 'ieps', 'imu', 'sigma'
             for permitivity, permeability and conductivity, respectively.
             If left to default 'all', all thre tensors will be recomputed.
-        '''
+        """
         if self.verbose:
             print(f'Re-computing tensor "{tensor}"...')
 
-        if tensor == 'ieps':
-            self.iDeps = diags(self.ieps.toarray(), shape=(3*self.N, 3*self.N), dtype=self.dtype)
-        elif tensor =='imu':
-            self.iDmu = diags(self.imu.toarray(), shape=(3*self.N, 3*self.N), dtype=self.dtype)
-        elif tensor == 'sigma':
-            self.Dsigma = diags(self.sigma.toarray(), shape=(3*self.N, 3*self.N), dtype=self.dtype)
-        elif tensor == 'all':
-            self.iDeps = diags(self.ieps.toarray(), shape=(3*self.N, 3*self.N), dtype=self.dtype)
-            self.iDmu = diags(self.imu.toarray(), shape=(3*self.N, 3*self.N), dtype=self.dtype)
-            self.Dsigma = diags(self.sigma.toarray(), shape=(3*self.N, 3*self.N), dtype=self.dtype)
+        if tensor == "ieps":
+            self.iDeps = diags(
+                self.ieps.toarray(), shape=(3 * self.N, 3 * self.N), dtype=self.dtype
+            )
+        elif tensor == "imu":
+            self.iDmu = diags(
+                self.imu.toarray(), shape=(3 * self.N, 3 * self.N), dtype=self.dtype
+            )
+        elif tensor == "sigma":
+            self.Dsigma = diags(
+                self.sigma.toarray(), shape=(3 * self.N, 3 * self.N), dtype=self.dtype
+            )
+        elif tensor == "all":
+            self.iDeps = diags(
+                self.ieps.toarray(), shape=(3 * self.N, 3 * self.N), dtype=self.dtype
+            )
+            self.iDmu = diags(
+                self.imu.toarray(), shape=(3 * self.N, 3 * self.N), dtype=self.dtype
+            )
+            self.Dsigma = diags(
+                self.sigma.toarray(), shape=(3 * self.N, 3 * self.N), dtype=self.dtype
+            )
 
         if self.verbose:
             print('Re-Pre-computing ...')
@@ -316,17 +364,20 @@ def _one_step(self):
             self.step_0 = False
             self.attrcleanup()
 
-        self.H.fromarray(self.H.toarray() -
-                         self.dt*self.tDsiDmuiDaC*self.E.toarray()
-                         )
+        self.H.fromarray(
+            self.H.toarray() - self.dt * self.tDsiDmuiDaC * self.E.toarray()
+        )
 
-        self.E.fromarray(self.E.toarray() +
-                         self.dt*(self.itDaiDepsDstC*self.H.toarray()
-                                  - self.ieps.toarray()*self.J.toarray()
-                                  )
-                         )
+        self.E.fromarray(
+            self.E.toarray()
+            + self.dt
+            * (
+                self.itDaiDepsDstC * self.H.toarray()
+                - self.ieps.toarray() * self.J.toarray()
+            )
+        )
 
-        #include current computation
+        # include current computation
         if self.use_conductivity:
             self.J.fromarray(self.sigma.toarray()*self.E.toarray()
                              )
@@ -337,19 +388,23 @@ def one_step_mkl(self):
             self.step_0 = False
             self.attrcleanup()
 
-        self.H.fromarray(self.H.toarray() -
-                         self.dt*dot_product_mkl(self.tDsiDmuiDaC,self.E.toarray())
-                         )
+        self.H.fromarray(
+            self.H.toarray()
+            - self.dt * dot_product_mkl(self.tDsiDmuiDaC, self.E.toarray())
+        )
 
-        self.E.fromarray(self.E.toarray() +
-                         self.dt*(dot_product_mkl(self.itDaiDepsDstC,self.H.toarray())
-                                  - self.ieps.toarray()*self.J.toarray()
-                                  )
-                         )
+        self.E.fromarray(
+            self.E.toarray()
+            + self.dt
+            * (
+                dot_product_mkl(self.itDaiDepsDstC, self.H.toarray())
+                - self.ieps.toarray() * self.J.toarray()
+            )
+        )
 
-        #include current computation
+        # include current computation
         if self.use_conductivity:
-            self.J.fromarray(self.sigma.toarray()*self.E.toarray())
+            self.J.fromarray(self.sigma.toarray() * self.E.toarray())
 
     def mpi_initialize(self):
         self.comm = self.grid.comm
@@ -367,22 +422,25 @@ def mpi_one_step(self):
             self.step_0 = False
             self.attrcleanup()
 
-        self.H.fromarray(self.H.toarray() -
-                         self.dt*self.tDsiDmuiDaC*self.E.toarray()
-                         )
+        self.H.fromarray(
+            self.H.toarray() - self.dt * self.tDsiDmuiDaC * self.E.toarray()
+        )
 
         self.mpi_communicate(self.H)
         self.mpi_communicate(self.J)
-        self.E.fromarray(self.E.toarray() +
-                         self.dt*(self.itDaiDepsDstC * self.H.toarray()
-                                  - self.ieps.toarray()*self.J.toarray()
-                                  )
-                         )
+        self.E.fromarray(
+            self.E.toarray()
+            + self.dt
+            * (
+                self.itDaiDepsDstC * self.H.toarray()
+                - self.ieps.toarray() * self.J.toarray()
+            )
+        )
 
         self.mpi_communicate(self.E)
         # include current computation
         if self.use_conductivity:
-            self.J.fromarray(self.sigma.toarray()*self.E.toarray())
+            self.J.fromarray(self.sigma.toarray() * self.E.toarray())
 
     def mpi_communicate(self, field):
         if self.use_gpu:
@@ -390,24 +448,32 @@ def mpi_communicate(self, field):
 
         # ghosts lo
         if self.rank > 0:
-            for d in ['x','y','z']:
-                self.comm.Sendrecv(field[:, :, 1, d],
-                            recvbuf=field[:, :, 0, d],
-                            dest=self.rank-1, sendtag=0,
-                            source=self.rank-1, recvtag=1)
+            for d in ["x", "y", "z"]:
+                self.comm.Sendrecv(
+                    field[:, :, 1, d],
+                    recvbuf=field[:, :, 0, d],
+                    dest=self.rank - 1,
+                    sendtag=0,
+                    source=self.rank - 1,
+                    recvtag=1,
+                )
         # ghosts hi
         if self.rank < self.size - 1:
-            for d in ['x','y','z']:
-                self.comm.Sendrecv(field[:, :, -2, d],
-                            recvbuf=field[:, :, -1, d],
-                            dest=self.rank+1, sendtag=1,
-                            source=self.rank+1, recvtag=0)
+            for d in ["x", "y", "z"]:
+                self.comm.Sendrecv(
+                    field[:, :, -2, d],
+                    recvbuf=field[:, :, -1, d],
+                    dest=self.rank + 1,
+                    sendtag=1,
+                    source=self.rank + 1,
+                    recvtag=0,
+                )
 
         if self.use_gpu:
             field.to_gpu()
 
     def mpi_gather(self, field, x=None, y=None, z=None, component=None):
-        '''
+        """
         Gather a specific component or slice of a distributed field from all MPI ranks.
 
         This function collects a selected component of a field (E, H, J, or custom)
@@ -458,7 +524,7 @@ def mpi_gather(self, field, x=None, y=None, z=None, component=None):
 
         >>> # Gather a 2D yz-slice at x=10 of the J field
         >>> yz_J = solver.mpi_gather('J', x=10)
-        '''
+        """
 
         if x is None:
             x = slice(0, self.Nx)
@@ -468,25 +534,25 @@ def mpi_gather(self, field, x=None, y=None, z=None, component=None):
             z = slice(0, self.NZ)
 
         if type(field) is str:
-            if len(field) == 2: #support for e.g. field='Ex'
+            if len(field) == 2:  # support for e.g. field='Ex'
                 component = field[1]
                 field = field[0]
-            elif len(field) == 4: #support for Abs
+            elif len(field) == 4:  # support for Abs
                 component = field[1:]
                 field = field[0]
             elif component is None:
-                component = 'z'
+                component = "z"
                 print("[!] `component` not specified, using default component='z'")
 
-            if field == 'E':
+            if field == "E":
                 local = self.E[x, y, :, component].ravel()
-            elif field == 'H':
+            elif field == "H":
                 local = self.H[x, y, :, component].ravel()
-            elif field == 'J':
+            elif field == "J":
                 local = self.J[x, y, :, component].ravel()
         else:
             if component is None:
-                component = 'z'
+                component = "z"
                 print("[!] `component` not specified, using default component='z'")
             local = field[x, y, :, component].ravel()
 
@@ -495,65 +561,89 @@ def mpi_gather(self, field, x=None, y=None, z=None, component=None):
 
         if self.rank == 0:
             if type(x) is int and type(y) is int:  # 1d array at x=a, y=b
-                nz = self.NZ//self.size
+                nz = self.NZ // self.size
                 _field = np.zeros((self.NZ))
                 for r in range(self.size):
-                    zz = np.s_[r*nz:(r+1)*nz]
+                    zz = np.s_[r * nz : (r + 1) * nz]
                     if r == 0:
-                        _field[zz] = np.reshape(buffer[r], (nz+self.grid.n_ghosts))[:-1]
-                    elif r == (self.size-1):
-                        _field[zz] = np.reshape(buffer[r], (nz+self.grid.n_ghosts))[1:]
+                        _field[zz] = np.reshape(buffer[r], (nz + self.grid.n_ghosts))[
+                            :-1
+                        ]
+                    elif r == (self.size - 1):
+                        _field[zz] = np.reshape(buffer[r], (nz + self.grid.n_ghosts))[
+                            1:
+                        ]
                     else:
-                        _field[zz] = np.reshape(buffer[r], (nz+2*self.grid.n_ghosts))[1:-1]
+                        _field[zz] = np.reshape(
+                            buffer[r], (nz + 2 * self.grid.n_ghosts)
+                        )[1:-1]
                 _field = _field[z]
 
-            elif type(x) is int:    # 2d slice at x=a
-                ny = y.stop-y.start
-                nz = self.NZ//self.size
+            elif type(x) is int:  # 2d slice at x=a
+                ny = y.stop - y.start
+                nz = self.NZ // self.size
                 _field = np.zeros((ny, self.NZ))
                 for r in range(self.size):
-                    zz = np.s_[r*nz:(r+1)*nz]
+                    zz = np.s_[r * nz : (r + 1) * nz]
                     if r == 0:
-                        _field[:, zz] = np.reshape(buffer[r], (ny, nz+self.grid.n_ghosts))[:, :-1]
-                    elif r == (self.size-1):
-                        _field[:, zz] = np.reshape(buffer[r], (ny, nz+self.grid.n_ghosts))[:, 1:]
+                        _field[:, zz] = np.reshape(
+                            buffer[r], (ny, nz + self.grid.n_ghosts)
+                        )[:, :-1]
+                    elif r == (self.size - 1):
+                        _field[:, zz] = np.reshape(
+                            buffer[r], (ny, nz + self.grid.n_ghosts)
+                        )[:, 1:]
                     else:
-                        _field[:, zz] = np.reshape(buffer[r], (ny, nz+2*self.grid.n_ghosts))[:, 1:-1]
+                        _field[:, zz] = np.reshape(
+                            buffer[r], (ny, nz + 2 * self.grid.n_ghosts)
+                        )[:, 1:-1]
                 _field = _field[:, z]
 
             elif type(y) is int:  # 2d slice at y=a
-                nx = x.stop-x.start
-                nz = self.NZ//self.size
+                nx = x.stop - x.start
+                nz = self.NZ // self.size
                 _field = np.zeros((nx, self.NZ))
                 for r in range(self.size):
-                    zz = np.s_[r*nz:(r+1)*nz]
+                    zz = np.s_[r * nz : (r + 1) * nz]
                     if r == 0:
-                        _field[:, zz] = np.reshape(buffer[r], (nx, nz+self.grid.n_ghosts))[:, :-1]
-                    elif r == (self.size-1):
-                        _field[:, zz] = np.reshape(buffer[r], (nx, nz+self.grid.n_ghosts))[:, 1:]
+                        _field[:, zz] = np.reshape(
+                            buffer[r], (nx, nz + self.grid.n_ghosts)
+                        )[:, :-1]
+                    elif r == (self.size - 1):
+                        _field[:, zz] = np.reshape(
+                            buffer[r], (nx, nz + self.grid.n_ghosts)
+                        )[:, 1:]
                     else:
-                        _field[:, zz] = np.reshape(buffer[r], (nx, nz+2*self.grid.n_ghosts))[:, 1:-1]
+                        _field[:, zz] = np.reshape(
+                            buffer[r], (nx, nz + 2 * self.grid.n_ghosts)
+                        )[:, 1:-1]
                 _field = _field[:, z]
 
-            else: # both type slice -> 3d array
-                nx = x.stop-x.start
-                ny = y.stop-y.start
-                nz = self.NZ//self.size
+            else:  # both type slice -> 3d array
+                nx = x.stop - x.start
+                ny = y.stop - y.start
+                nz = self.NZ // self.size
                 _field = np.zeros((nx, ny, self.NZ))
                 for r in range(self.size):
-                    zz = np.s_[r*nz:(r+1)*nz]
+                    zz = np.s_[r * nz : (r + 1) * nz]
                     if r == 0:
-                        _field[:, :, zz] = np.reshape(buffer[r], (nx, ny, nz+self.grid.n_ghosts))[:, :, :-1]
-                    elif r == (self.size-1):
-                        _field[:, :, zz] = np.reshape(buffer[r], (nx, ny, nz+self.grid.n_ghosts))[:, :, 1:]
+                        _field[:, :, zz] = np.reshape(
+                            buffer[r], (nx, ny, nz + self.grid.n_ghosts)
+                        )[:, :, :-1]
+                    elif r == (self.size - 1):
+                        _field[:, :, zz] = np.reshape(
+                            buffer[r], (nx, ny, nz + self.grid.n_ghosts)
+                        )[:, :, 1:]
                     else:
-                        _field[:, :, zz] = np.reshape(buffer[r], (nx, ny, nz+2*self.grid.n_ghosts))[:, :, 1:-1]
+                        _field[:, :, zz] = np.reshape(
+                            buffer[r], (nx, ny, nz + 2 * self.grid.n_ghosts)
+                        )[:, :, 1:-1]
                 _field = _field[:, :, z]
 
         return _field
 
     def mpi_gather_asField(self, field):
-        '''
+        """
         Gather distributed field data from all MPI ranks and return a global Field object.
 
         This method collects the specified electromagnetic field data (E, H, or J)
@@ -582,183 +672,207 @@ def mpi_gather_asField(self, field):
         -----
         - This method assumes the field is distributed along the `z`-axis.
         - Ghost cells are removed appropriately when reassembling the global field.
-        '''
+        """
 
         _field = Field(self.Nx, self.Ny, self.NZ)
 
-        for d in ['x','y','z']:
+        for d in ["x", "y", "z"]:
             if type(field) is str:
-                if field == 'E':
-                    local = self.E[:, :, :,d].ravel()
-                elif field == 'H':
-                    local = self.H[:, :, :,d].ravel()
-                elif field == 'J':
-                    local = self.J[:, :, :,d].ravel()
+                if field == "E":
+                    local = self.E[:, :, :, d].ravel()
+                elif field == "H":
+                    local = self.H[:, :, :, d].ravel()
+                elif field == "J":
+                    local = self.J[:, :, :, d].ravel()
             else:
                 local = field[:, :, :, d].ravel()
 
             buffer = self.comm.gather(local, root=0)
             if self.rank == 0:
-                nz = self.NZ//self.size
+                nz = self.NZ // self.size
                 for r in range(self.size):
-                    zz = np.s_[r*nz:(r+1)*nz]
+                    zz = np.s_[r * nz : (r + 1) * nz]
                     if r == 0:
-                        _field[:, :, zz, d] = np.reshape(buffer[r], (self.Nx, self.Ny, nz+self.grid.n_ghosts))[:, :, :-1]
-                    elif r == (self.size-1):
-                        _field[:, :, zz, d] = np.reshape(buffer[r], (self.Nx, self.Ny, nz+self.grid.n_ghosts))[:, :, 1:]
+                        _field[:, :, zz, d] = np.reshape(
+                            buffer[r], (self.Nx, self.Ny, nz + self.grid.n_ghosts)
+                        )[:, :, :-1]
+                    elif r == (self.size - 1):
+                        _field[:, :, zz, d] = np.reshape(
+                            buffer[r], (self.Nx, self.Ny, nz + self.grid.n_ghosts)
+                        )[:, :, 1:]
                     else:
-                        _field[:, :, zz, d] = np.reshape(buffer[r], (self.Nx, self.Ny, nz+2*self.grid.n_ghosts))[:, :, 1:-1]
+                        _field[:, :, zz, d] = np.reshape(
+                            buffer[r], (self.Nx, self.Ny, nz + 2 * self.grid.n_ghosts)
+                        )[:, :, 1:-1]
 
         return _field
 
     def apply_bc_to_C(self):
-        '''
+        """
         Modifies rows or columns of C and tDs and itDa matrices
         according to bc_low and bc_high
-        '''
-        xlo, ylo, zlo = 1., 1., 1.
-        xhi, yhi, zhi = 1., 1., 1.
+        """
+        xlo, ylo, zlo = 1.0, 1.0, 1.0
+        xhi, yhi, zhi = 1.0, 1.0, 1.0
 
         # Check BCs for internal MPI subdomains
         if self.use_mpi and self.grid.use_mpi:
             if self.rank > 0:
-                self.bc_low=['pec', 'pec', 'mpi']
+                self.bc_low = ["pec", "pec", "mpi"]
 
             if self.rank < self.size - 1:
-                self.bc_high=['pec', 'pec', 'mpi']
+                self.bc_high = ["pec", "pec", "mpi"]
 
         # Perodic: out == in
-        if any(True for x in self.bc_low if x.lower() == 'periodic'):
-            if self.bc_low[0].lower() == 'periodic' and self.bc_high[0].lower() == 'periodic':
-                self.tL[-1, :, :, 'x'] = self.L[0, :, :, 'x']
-                self.itA[-1, :, :, 'y'] = self.iA[0, :, :, 'y']
-                self.itA[-1, :, :, 'z'] = self.iA[0, :, :, 'z']
-
-            if self.bc_low[1].lower() == 'periodic' and self.bc_high[1].lower() == 'periodic':
-                self.tL[:, -1, :, 'y'] = self.L[:, 0, :, 'y']
-                self.itA[:, -1, :, 'x'] = self.iA[:, 0, :, 'x']
-                self.itA[:, -1, :, 'z'] = self.iA[:, 0, :, 'z']
-
-            if self.bc_low[2].lower() == 'periodic' and self.bc_high[2].lower() == 'periodic':
-                self.tL[:, :, -1, 'z'] = self.L[:, :, 0, 'z']
-                self.itA[:, :, -1, 'x'] = self.iA[:, :, 0, 'x']
-                self.itA[:, :, -1, 'y'] = self.iA[:, :, 0, 'y']
-
-            self.tDs = diags(self.tL.toarray(), shape=(3*self.N, 3*self.N), dtype=float)
-            self.itDa = diags(self.itA.toarray(), shape=(3*self.N, 3*self.N), dtype=float)
+        if any(True for x in self.bc_low if x.lower() == "periodic"):
+            if (
+                self.bc_low[0].lower() == "periodic"
+                and self.bc_high[0].lower() == "periodic"
+            ):
+                self.tL[-1, :, :, "x"] = self.L[0, :, :, "x"]
+                self.itA[-1, :, :, "y"] = self.iA[0, :, :, "y"]
+                self.itA[-1, :, :, "z"] = self.iA[0, :, :, "z"]
+
+            if (
+                self.bc_low[1].lower() == "periodic"
+                and self.bc_high[1].lower() == "periodic"
+            ):
+                self.tL[:, -1, :, "y"] = self.L[:, 0, :, "y"]
+                self.itA[:, -1, :, "x"] = self.iA[:, 0, :, "x"]
+                self.itA[:, -1, :, "z"] = self.iA[:, 0, :, "z"]
+
+            if (
+                self.bc_low[2].lower() == "periodic"
+                and self.bc_high[2].lower() == "periodic"
+            ):
+                self.tL[:, :, -1, "z"] = self.L[:, :, 0, "z"]
+                self.itA[:, :, -1, "x"] = self.iA[:, :, 0, "x"]
+                self.itA[:, :, -1, "y"] = self.iA[:, :, 0, "y"]
+
+            self.tDs = diags(
+                self.tL.toarray(), shape=(3 * self.N, 3 * self.N), dtype=float
+            )
+            self.itDa = diags(
+                self.itA.toarray(), shape=(3 * self.N, 3 * self.N), dtype=float
+            )
 
         # Dirichlet PEC: tangential E field = 0 at boundary
-        if any(True for x in self.bc_low if x.lower() in ('electric','pec','pml')) \
-           or any(True for x in self.bc_high if x.lower() in ('electric','pec','pml')):
-            if self.bc_low[0].lower() in ('electric','pec', 'pml'):
+        if any(
+            True for x in self.bc_low if x.lower() in ("electric", "pec", "pml")
+        ) or any(True for x in self.bc_high if x.lower() in ("electric", "pec", "pml")):
+            if self.bc_low[0].lower() in ("electric", "pec", "pml"):
                 xlo = 0
-            if self.bc_low[1].lower() in ('electric','pec', 'pml'):
+            if self.bc_low[1].lower() in ("electric", "pec", "pml"):
                 ylo = 0
-            if self.bc_low[2].lower() in ('electric','pec', 'pml'):
+            if self.bc_low[2].lower() in ("electric", "pec", "pml"):
                 zlo = 0
-            if self.bc_high[0].lower() in ('electric','pec', 'pml'):
+            if self.bc_high[0].lower() in ("electric", "pec", "pml"):
                 xhi = 0
-            if self.bc_high[1].lower() in ('electric','pec', 'pml'):
+            if self.bc_high[1].lower() in ("electric", "pec", "pml"):
                 yhi = 0
-            if self.bc_high[2].lower() in ('electric','pec', 'pml'):
+            if self.bc_high[2].lower() in ("electric", "pec", "pml"):
                 zhi = 0
 
             # Assemble matrix
             self.BC = Field(self.Nx, self.Ny, self.Nz, dtype=np.int8, use_ones=True)
 
-            for d in ['x', 'y', 'z']: #tangential to zero
-                if d != 'x':
+            for d in ["x", "y", "z"]:  # tangential to zero
+                if d != "x":
                     self.BC[0, :, :, d] = xlo
                     self.BC[-1, :, :, d] = xhi
-                if d != 'y':
+                if d != "y":
                     self.BC[:, 0, :, d] = ylo
                     self.BC[:, -1, :, d] = yhi
-                if d != 'z':
+                if d != "z":
                     self.BC[:, :, 0, d] = zlo
                     self.BC[:, :, -1, d] = zhi
 
-            self.Dbc = diags(self.BC.toarray(),
-                            shape=(3*self.N, 3*self.N),
-                            dtype=np.int8
-                            )
+            self.Dbc = diags(
+                self.BC.toarray(), shape=(3 * self.N, 3 * self.N), dtype=np.int8
+            )
 
             # Update C (columns)
-            self.C = self.C*self.Dbc
-
+            self.C = self.C * self.Dbc
 
         # Dirichlet PMC: tangential H field = 0 at boundary
-        if any(True for x in self.bc_low if x.lower() in ('magnetic','pmc')) \
-           or any(True for x in self.bc_high if x.lower() in ('magnetic','pmc')):
-            if self.bc_low[0].lower() == 'magnetic' or self.bc_low[0] == 'pmc':
+        if any(True for x in self.bc_low if x.lower() in ("magnetic", "pmc")) or any(
+            True for x in self.bc_high if x.lower() in ("magnetic", "pmc")
+        ):
+            if self.bc_low[0].lower() == "magnetic" or self.bc_low[0] == "pmc":
                 xlo = 0
-            if self.bc_low[1].lower() == 'magnetic' or self.bc_low[1] == 'pmc':
+            if self.bc_low[1].lower() == "magnetic" or self.bc_low[1] == "pmc":
                 ylo = 0
-            if self.bc_low[2].lower() == 'magnetic' or self.bc_low[2] == 'pmc':
+            if self.bc_low[2].lower() == "magnetic" or self.bc_low[2] == "pmc":
                 zlo = 0
-            if self.bc_high[0].lower() == 'magnetic' or self.bc_high[0] == 'pmc':
+            if self.bc_high[0].lower() == "magnetic" or self.bc_high[0] == "pmc":
                 xhi = 0
-            if self.bc_high[1].lower() == 'magnetic' or self.bc_high[1] == 'pmc':
+            if self.bc_high[1].lower() == "magnetic" or self.bc_high[1] == "pmc":
                 yhi = 0
-            if self.bc_high[2].lower() == 'magnetic' or self.bc_high[2] == 'pmc':
+            if self.bc_high[2].lower() == "magnetic" or self.bc_high[2] == "pmc":
                 zhi = 0
 
             # Assemble matrix
             self.BC = Field(self.Nx, self.Ny, self.Nz, dtype=np.int8, use_ones=True)
 
-            for d in ['x', 'y', 'z']: #tangential to zero
-                if d != 'x':
+            for d in ["x", "y", "z"]:  # tangential to zero
+                if d != "x":
                     self.BC[0, :, :, d] = xlo
                     self.BC[-1, :, :, d] = xhi
-                if d != 'y':
+                if d != "y":
                     self.BC[:, 0, :, d] = ylo
                     self.BC[:, -1, :, d] = yhi
-                if d != 'z':
+                if d != "z":
                     self.BC[:, :, 0, d] = zlo
                     self.BC[:, :, -1, d] = zhi
 
-            self.Dbc = diags(self.BC.toarray(),
-                            shape=(3*self.N, 3*self.N),
-                            dtype=np.int8
-                            )
+            self.Dbc = diags(
+                self.BC.toarray(), shape=(3 * self.N, 3 * self.N), dtype=np.int8
+            )
 
             # Update C (rows)
-            self.C = self.Dbc*self.C
+            self.C = self.Dbc * self.C
 
         # Absorbing boundary conditions ABC
-        if any(True for x in self.bc_low if x.lower() == 'abc') \
-           or any(True for x in self.bc_high if x.lower() == 'abc'):
-            if self.bc_high[0].lower() == 'abc':
-                self.tL[-1, :, :, 'x'] = self.L[0, :, :, 'x']
-                self.itA[-1, :, :, 'y'] = self.iA[0, :, :, 'y']
-                self.itA[-1, :, :, 'z'] = self.iA[0, :, :, 'z']
-
-            if self.bc_high[1].lower() == 'abc':
-                self.tL[:, -1, :, 'y'] = self.L[:, 0, :, 'y']
-                self.itA[:, -1, :, 'x'] = self.iA[:, 0, :, 'x']
-                self.itA[:, -1, :, 'z'] = self.iA[:, 0, :, 'z']
-
-            if self.bc_high[2].lower() == 'abc':
-                self.tL[:, :, -1, 'z'] = self.L[:, :, 0, 'z']
-                self.itA[:, :, -1, 'x'] = self.iA[:, :, 0, 'x']
-                self.itA[:, :, -1, 'y'] = self.iA[:, :, 0, 'y']
-
-            self.tDs = diags(self.tL.toarray(), shape=(3*self.N, 3*self.N), dtype=float)
-            self.itDa = diags(self.itA.toarray(), shape=(3*self.N, 3*self.N), dtype=float)
+        if any(True for x in self.bc_low if x.lower() == "abc") or any(
+            True for x in self.bc_high if x.lower() == "abc"
+        ):
+            if self.bc_high[0].lower() == "abc":
+                self.tL[-1, :, :, "x"] = self.L[0, :, :, "x"]
+                self.itA[-1, :, :, "y"] = self.iA[0, :, :, "y"]
+                self.itA[-1, :, :, "z"] = self.iA[0, :, :, "z"]
+
+            if self.bc_high[1].lower() == "abc":
+                self.tL[:, -1, :, "y"] = self.L[:, 0, :, "y"]
+                self.itA[:, -1, :, "x"] = self.iA[:, 0, :, "x"]
+                self.itA[:, -1, :, "z"] = self.iA[:, 0, :, "z"]
+
+            if self.bc_high[2].lower() == "abc":
+                self.tL[:, :, -1, "z"] = self.L[:, :, 0, "z"]
+                self.itA[:, :, -1, "x"] = self.iA[:, :, 0, "x"]
+                self.itA[:, :, -1, "y"] = self.iA[:, :, 0, "y"]
+
+            self.tDs = diags(
+                self.tL.toarray(), shape=(3 * self.N, 3 * self.N), dtype=float
+            )
+            self.itDa = diags(
+                self.itA.toarray(), shape=(3 * self.N, 3 * self.N), dtype=float
+            )
             self.activate_abc = True
 
         # Perfect Matching Layers (PML)
-        if any(True for x in self.bc_low if x.lower() == 'pml') \
-           or any(True for x in self.bc_high if x.lower() == 'pml'):
+        if any(True for x in self.bc_low if x.lower() == "pml") or any(
+            True for x in self.bc_high if x.lower() == "pml"
+        ):
             self.activate_pml = True
             self.use_conductivity = True
 
     def fill_pml_sigmas(self):
-        '''
+        """
         Routine to calculate pml sigmas and apply them
         to the conductivity tensor sigma
 
         [IN-PROGRESS]
-        '''
+        """
 
         # Initialize
         sx, sy, sz = np.zeros(self.Nx), np.zeros(self.Ny), np.zeros(self.Nz)
@@ -853,202 +967,205 @@ def fill_pml_sigmas(self):
                     #self.ieps[:, :, -k, d] = 1/(np.mean(sz[-self.n_pml:])*eps_0)
 
     def get_abc(self):
-        '''
+        """
         Save the n-2 timestep to apply ABC
-        '''
+        """
         E_abc, H_abc = {}, {}
 
-        if self.bc_low[0].lower() == 'abc':
+        if self.bc_low[0].lower() == "abc":
             E_abc[0] = {}
             H_abc[0] = {}
-            for d in ['x', 'y', 'z']:
-                E_abc[0][d+'lo'] = self.E[1, :, :, d]
-                H_abc[0][d+'lo'] = self.H[1, :, :, d]
+            for d in ["x", "y", "z"]:
+                E_abc[0][d + "lo"] = self.E[1, :, :, d]
+                H_abc[0][d + "lo"] = self.H[1, :, :, d]
 
-        if self.bc_low[1].lower() == 'abc':
+        if self.bc_low[1].lower() == "abc":
             E_abc[1] = {}
             H_abc[1] = {}
-            for d in ['x', 'y', 'z']:
-                E_abc[1][d+'lo'] = self.E[:, 1, :, d]
-                H_abc[1][d+'lo'] = self.H[:, 1, :, d]
+            for d in ["x", "y", "z"]:
+                E_abc[1][d + "lo"] = self.E[:, 1, :, d]
+                H_abc[1][d + "lo"] = self.H[:, 1, :, d]
 
-        if self.bc_low[2].lower() == 'abc':
+        if self.bc_low[2].lower() == "abc":
             E_abc[2] = {}
             H_abc[2] = {}
-            for d in ['x', 'y', 'z']:
-                E_abc[2][d+'lo'] = self.E[:, :, 1, d]
-                H_abc[2][d+'lo'] = self.H[:, :, 1, d]
+            for d in ["x", "y", "z"]:
+                E_abc[2][d + "lo"] = self.E[:, :, 1, d]
+                H_abc[2][d + "lo"] = self.H[:, :, 1, d]
 
-        if self.bc_high[0].lower() == 'abc':
+        if self.bc_high[0].lower() == "abc":
             E_abc[0] = {}
             H_abc[0] = {}
-            for d in ['x', 'y', 'z']:
-                E_abc[0][d+'hi'] = self.E[-1, :, :, d]
-                H_abc[0][d+'hi'] = self.H[-1, :, :, d]
+            for d in ["x", "y", "z"]:
+                E_abc[0][d + "hi"] = self.E[-1, :, :, d]
+                H_abc[0][d + "hi"] = self.H[-1, :, :, d]
 
-        if self.bc_high[1].lower() == 'abc':
+        if self.bc_high[1].lower() == "abc":
             E_abc[1] = {}
             H_abc[1] = {}
-            for d in ['x', 'y', 'z']:
-                E_abc[1][d+'hi'] = self.E[:, -1, :, d]
-                H_abc[1][d+'hi'] = self.H[:, -1, :, d]
+            for d in ["x", "y", "z"]:
+                E_abc[1][d + "hi"] = self.E[:, -1, :, d]
+                H_abc[1][d + "hi"] = self.H[:, -1, :, d]
 
-        if self.bc_high[2].lower() == 'abc':
+        if self.bc_high[2].lower() == "abc":
             E_abc[2] = {}
             H_abc[2] = {}
-            for d in ['x', 'y', 'z']:
-                E_abc[2][d+'hi'] = self.E[:, :, -1, d]
-                H_abc[2][d+'hi'] = self.H[:, :, -1, d]
+            for d in ["x", "y", "z"]:
+                E_abc[2][d + "hi"] = self.E[:, :, -1, d]
+                H_abc[2][d + "hi"] = self.H[:, :, -1, d]
 
         return E_abc, H_abc
 
     def update_abc(self, E_abc, H_abc):
-        '''
+        """
         Apply ABC algo to the selected BC,
         to be applied after each timestep
-        '''
+        """
 
-        if self.bc_low[0].lower() == 'abc':
-            for d in ['x', 'y', 'z']:
-                self.E[0, :, :, d] = E_abc[0][d+'lo']
-                self.H[0, :, :, d] = H_abc[0][d+'lo']
+        if self.bc_low[0].lower() == "abc":
+            for d in ["x", "y", "z"]:
+                self.E[0, :, :, d] = E_abc[0][d + "lo"]
+                self.H[0, :, :, d] = H_abc[0][d + "lo"]
 
-        if self.bc_low[1].lower() == 'abc':
-            for d in ['x', 'y', 'z']:
-                self.E[:, 0, :, d] = E_abc[1][d+'lo']
-                self.H[:, 0, :, d] = H_abc[1][d+'lo']
+        if self.bc_low[1].lower() == "abc":
+            for d in ["x", "y", "z"]:
+                self.E[:, 0, :, d] = E_abc[1][d + "lo"]
+                self.H[:, 0, :, d] = H_abc[1][d + "lo"]
 
-        if self.bc_low[2].lower() == 'abc':
-            for d in ['x', 'y', 'z']:
-                self.E[:, :, 0, d] = E_abc[2][d+'lo']
-                self.H[:, :, 0, d] = H_abc[2][d+'lo']
+        if self.bc_low[2].lower() == "abc":
+            for d in ["x", "y", "z"]:
+                self.E[:, :, 0, d] = E_abc[2][d + "lo"]
+                self.H[:, :, 0, d] = H_abc[2][d + "lo"]
 
-        if self.bc_high[0].lower() == 'abc':
-            for d in ['x', 'y', 'z']:
-                self.E[-1, :, :, d] = E_abc[0][d+'hi']
-                self.H[-1, :, :, d] = H_abc[0][d+'hi']
+        if self.bc_high[0].lower() == "abc":
+            for d in ["x", "y", "z"]:
+                self.E[-1, :, :, d] = E_abc[0][d + "hi"]
+                self.H[-1, :, :, d] = H_abc[0][d + "hi"]
 
-        if self.bc_high[1].lower() == 'abc':
-            for d in ['x', 'y', 'z']:
-                self.E[:, -1, :, d] = E_abc[1][d+'hi']
-                self.H[:, -1, :, d] = H_abc[1][d+'hi']
+        if self.bc_high[1].lower() == "abc":
+            for d in ["x", "y", "z"]:
+                self.E[:, -1, :, d] = E_abc[1][d + "hi"]
+                self.H[:, -1, :, d] = H_abc[1][d + "hi"]
 
-        if self.bc_high[2].lower() == 'abc':
-            for d in ['x', 'y', 'z']:
-                self.E[:, :, -1, d] = E_abc[2][d+'hi']
-                self.H[:, :, -1, d] = H_abc[2][d+'hi']
+        if self.bc_high[2].lower() == "abc":
+            for d in ["x", "y", "z"]:
+                self.E[:, :, -1, d] = E_abc[2][d + "hi"]
+                self.H[:, :, -1, d] = H_abc[2][d + "hi"]
 
     def set_ghosts_to_0(self):
-        '''
+        """
         Cleanup for initial conditions if they are
         accidentally applied to the ghost cells
-        '''
+        """
         # Set H ghost quantities to 0
-        for d in ['x', 'y', 'z']: #tangential to zero
-            if d != 'x':
-                self.H[-1, :, :, d] = 0.
-            if d != 'y':
-                self.H[:, -1, :, d] = 0.
-            if d != 'z':
-                self.H[:, :, -1, d] = 0.
+        for d in ["x", "y", "z"]:  # tangential to zero
+            if d != "x":
+                self.H[-1, :, :, d] = 0.0
+            if d != "y":
+                self.H[:, -1, :, d] = 0.0
+            if d != "z":
+                self.H[:, :, -1, d] = 0.0
 
         # Set E ghost quantities to 0
-        self.E[-1, :, :, 'x'] = 0.
-        self.E[:, -1, :, 'y'] = 0.
-        self.E[:, :, -1, 'z'] = 0.
+        self.E[-1, :, :, "x"] = 0.0
+        self.E[:, -1, :, "y"] = 0.0
+        self.E[:, :, -1, "z"] = 0.0
 
     def apply_conductors(self):
-        '''
+        """
         Set the 1/epsilon values inside the PEC conductors to zero
-        '''
-        self.flag_in_conductors = self.grid.flag_int_cell_yz[:-1,:,:]  \
-                        + self.grid.flag_int_cell_zx[:,:-1,:] \
-                        + self.grid.flag_int_cell_xy[:,:,:-1]
+        """
+        self.flag_in_conductors = (
+            self.grid.flag_int_cell_yz[:-1, :, :]
+            + self.grid.flag_int_cell_zx[:, :-1, :]
+            + self.grid.flag_int_cell_xy[:, :, :-1]
+        )
 
         self.ieps *= self.flag_in_conductors
 
     def set_field_in_conductors_to_0(self):
-        '''
+        """
         Cleanup for initial conditions if they are
         accidentally applied to the conductors
-        '''
-        self.flag_cleanup = self.grid.flag_int_cell_yz[:-1,:,:]  \
-                        + self.grid.flag_int_cell_zx[:,:-1,:]    \
-                        + self.grid.flag_int_cell_xy[:,:,:-1]
+        """
+        self.flag_cleanup = (
+            self.grid.flag_int_cell_yz[:-1, :, :]
+            + self.grid.flag_int_cell_zx[:, :-1, :]
+            + self.grid.flag_int_cell_xy[:, :, :-1]
+        )
 
         self.H *= self.flag_cleanup
         self.E *= self.flag_cleanup
 
     def apply_stl(self):
-        '''
+        """
         Mask the cells inside the stl and assing the material
         defined by the user
 
         * Note: stl material should contain **relative** epsilon and mu
         ** Note 2: when assigning the stl material, the default values
                    1./eps_0 and 1./mu_0 are substracted
-        '''
+        """
         grid = self.grid.grid
         self.stl_solids = self.grid.stl_solids
         self.stl_materials = self.grid.stl_materials
         self.stl_colors = self.grid.stl_colors
 
         for key in self.stl_solids.keys():
-
             mask = np.reshape(grid[key], (self.Nx, self.Ny, self.Nz)).astype(int)
 
             if type(self.stl_materials[key]) is str:
                 # Retrieve from material library
                 mat_key = self.stl_materials[key].lower()
 
-                eps = material_lib[mat_key][0]*eps_0
-                mu = material_lib[mat_key][1]*mu_0
+                eps = material_lib[mat_key][0] * eps_0
+                mu = material_lib[mat_key][1] * mu_0
 
                 # Setting to zero
-                self.ieps += self.ieps * (-1.0*mask)
-                self.imu += self.imu * (-1.0*mask)
+                self.ieps += self.ieps * (-1.0 * mask)
+                self.imu += self.imu * (-1.0 * mask)
 
                 # Adding new values
-                self.ieps += mask * 1./eps
-                self.imu += mask * 1./mu
+                self.ieps += mask * 1.0 / eps
+                self.imu += mask * 1.0 / mu
 
                 # Conductivity
                 if len(material_lib[mat_key]) == 3:
                     sigma = material_lib[mat_key][2]
-                    self.sigma += self.sigma * (-1.0*mask)
+                    self.sigma += self.sigma * (-1.0 * mask)
                     self.sigma += mask * sigma
                     self.use_conductivity = True
 
-                elif self.sigma_bg > 0.0: # assumed sigma = 0
-                    self.sigma += self.sigma * (-1.0*mask)
+                elif self.sigma_bg > 0.0:  # assumed sigma = 0
+                    self.sigma += self.sigma * (-1.0 * mask)
 
             else:
                 # From input
-                eps = self.stl_materials[key][0]*eps_0
-                mu = self.stl_materials[key][1]*mu_0
+                eps = self.stl_materials[key][0] * eps_0
+                mu = self.stl_materials[key][1] * mu_0
 
                 # Setting to zero
-                self.ieps += self.ieps * (-1.0*mask)
-                self.imu += self.imu * (-1.0*mask)
+                self.ieps += self.ieps * (-1.0 * mask)
+                self.imu += self.imu * (-1.0 * mask)
 
                 # Adding new values
-                self.ieps += mask * 1./eps
-                self.imu += mask * 1./mu
+                self.ieps += mask * 1.0 / eps
+                self.imu += mask * 1.0 / mu
 
                 # Conductivity
                 if len(self.stl_materials[key]) == 3:
                     sigma = self.stl_materials[key][2]
-                    self.sigma += self.sigma * (-1.0*mask)
+                    self.sigma += self.sigma * (-1.0 * mask)
                     self.sigma += mask * sigma
                     self.use_conductivity = True
 
-                elif self.sigma_bg > 0.0: # assumed sigma = 0
-                    self.sigma += self.sigma * (-1.0*mask)
+                elif self.sigma_bg > 0.0:  # assumed sigma = 0
+                    self.sigma += self.sigma * (-1.0 * mask)
 
     def attrcleanup(self):
         # Fields
         del self.L, self.tL, self.iA, self.itA
-        if hasattr(self, 'BC'):
+        if hasattr(self, "BC"):
             del self.BC
             del self.Dbc
 
@@ -1078,25 +1195,25 @@ def save_state(self, filename="solver_state.h5", close=True):
             - If `close=False`, returns an open `h5py.File` object for further manipulation.
         """
 
-        if self.use_mpi: # MPI savestate
-            H = self.mpi_gather_asField('H')
-            E = self.mpi_gather_asField('E')
-            J = self.mpi_gather_asField('J')
+        if self.use_mpi:  # MPI savestate
+            H = self.mpi_gather_asField("H")
+            E = self.mpi_gather_asField("E")
+            J = self.mpi_gather_asField("J")
 
             if self.rank == 0:
-                    state = h5py.File(filename, "w")
-                    state.create_dataset("H", data=H)
-                    state.create_dataset("E", data=E)
-                    state.create_dataset("J", data=J)
+                state = h5py.File(filename, "w")
+                state.create_dataset("H", data=H)
+                state.create_dataset("E", data=E)
+                state.create_dataset("J", data=J)
             # TODO: check for MPI-GPU
 
-        elif self.use_gpu: # GPU savestate
+        elif self.use_gpu:  # GPU savestate
             state = h5py.File(filename, "w")
             state.create_dataset("H", data=self.H.toarray().get())
             state.create_dataset("E", data=self.E.toarray().get())
             state.create_dataset("J", data=self.J.toarray().get())
 
-        else: # CPU savestate
+        else:  # CPU savestate
             state = h5py.File(filename, "w")
             state.create_dataset("H", data=self.H.toarray())
             state.create_dataset("E", data=self.E.toarray())
@@ -1164,7 +1281,7 @@ def reset_fields(self):
         - This method is useful when reusing an existing simulation object
         without reinitializing all attributes.
         """
-        for d in ['x', 'y', 'z']:
+        for d in ["x", "y", "z"]:
             self.E[:, :, :, d] = 0.0
             self.H[:, :, :, d] = 0.0
             self.J[:, :, :, d] = 0.0
@@ -1174,7 +1291,7 @@ def update_logger(self, attrs):
         Assigns the parameters handed via attrs to the logger
         """
         for atr in attrs:
-            if atr == 'grid':
+            if atr == "grid":
                 self.logger.grid = self.grid.logger.grid
             else:
                 self.logger.solver[atr] = getattr(self, atr)
diff --git a/wakis/sources.py b/wakis/sources.py
index 75f51e7..204fff3 100644
--- a/wakis/sources.py
+++ b/wakis/sources.py
@@ -3,26 +3,28 @@
 # Copyright (c) CERN, 2024.                   #
 # ########################################### #
 
-'''
+"""
 The `sources.py` script containts different classes
-defining a time-dependent sources to be installed 
+defining a time-dependent sources to be installed
 in the electromagnetic simulation.
 
 All sources need an update function that will be called
 every simulation timestep, e.g.:
     def update(self, t, *args, **kwargs)`
-'''
+"""
 
 import numpy as np
 import matplotlib.pyplot as plt
-from scipy.constants import mu_0, c as c_light 
+from scipy.constants import mu_0, c as c_light
+
 
 class Beam:
-    def __init__(self, xsource=0., ysource=0., beta=1.0, 
-                 q=1e-9, sigmaz=None, ti=None):
-        '''
-        Updates the current J every timestep 
-        to introduce a gaussian beam 
+    def __init__(
+        self, xsource=0.0, ysource=0.0, beta=1.0, q=1e-9, sigmaz=None, ti=None
+    ):
+        """
+        Updates the current J every timestep
+        to introduce a gaussian beam
         moving in +z direction
 
         Parameters
@@ -37,21 +39,25 @@ def __init__(self, xsource=0., ysource=0., beta=1.0,
             Beam longitudinal sigma [m]
         ti: float, default 9.55*sigmaz
             Injection time [s]
-        '''
+        """
 
         self.xsource, self.ysource = xsource, ysource
         self.sigmaz = sigmaz
         self.q = q
         self.beta = beta
-        self.v = c_light*beta
-        if ti is not None: 
+        self.v = c_light * beta
+        if ti is not None:
             self.ti = ti
-        else:  self.ti = 8.548921333333334*self.sigmaz/self.v 
+        else:
+            self.ti = 8.548921333333334 * self.sigmaz / self.v
         self.is_first_update = True
 
     def update(self, solver, t):
         if self.is_first_update:
-            self.ixs, self.iys = np.abs(solver.x-self.xsource).argmin(), np.abs(solver.y-self.ysource).argmin()
+            self.ixs, self.iys = (
+                np.abs(solver.x - self.xsource).argmin(),
+                np.abs(solver.y - self.ysource).argmin(),
+            )
             self.is_first_update = False
             if hasattr(solver, 'ZMIN'): # support for MPI
                 zminIdx = np.abs(solver.z-solver.ZMIN).argmin()
@@ -59,8 +65,8 @@ def update(self, solver, t):
             else:
                 self.zmin = solver.z.min()
         # reference shift
-        s0 = self.zmin - self.v*self.ti
-        s = solver.z - self.v*t
+        s0 = self.zmin - self.v * self.ti
+        s = solver.z - self.v * t
         # gaussian
         profile = 1/np.sqrt(2*np.pi*self.sigmaz**2)*np.exp(-(s-s0)**2/(2*self.sigmaz**2))
         # update 
@@ -68,27 +74,41 @@ def update(self, solver, t):
     
     def plot(self, t):
         # reference shift
-        s0 = - self.v*self.ti
-        s = - self.v*t
+        s0 = -self.v * self.ti
+        s = -self.v * t
         # gaussian
-        profile = 1/np.sqrt(2*np.pi*self.sigmaz**2)*np.exp(-(s-s0)**2/(2*self.sigmaz**2)) 
-        source = self.q*self.v*profile
+        profile = (
+            1
+            / np.sqrt(2 * np.pi * self.sigmaz**2)
+            * np.exp(-((s - s0) ** 2) / (2 * self.sigmaz**2))
+        )
+        source = self.q * self.v * profile
 
         fig, ax = plt.subplots()
-        ax.plot(t, source, 'darkorange')
-        ax.set_xlabel('Time [s]')
-        ax.set_ylabel('Current Jz [Cm/s]', color='darkorange')
-        ax.set_ylim(0., +np.abs(source).max()*1.3)
+        ax.plot(t, source, "darkorange")
+        ax.set_xlabel("Time [s]")
+        ax.set_ylabel("Current Jz [Cm/s]", color="darkorange")
+        ax.set_ylim(0.0, +np.abs(source).max() * 1.3)
 
         fig.tight_layout()
         plt.show()
 
+
 class PlaneWave:
-    def __init__(self, xs=None, ys=None, zs=0, nodes=None, f=None, 
-                 amplitude=1.0, beta=1.0, phase=0):
-        '''
-        Updates the fields E and H every timestep 
-        to introduce a planewave excitation at the given 
+    def __init__(
+        self,
+        xs=None,
+        ys=None,
+        zs=0,
+        nodes=None,
+        f=None,
+        amplitude=1.0,
+        beta=1.0,
+        phase=0,
+    ):
+        """
+        Updates the fields E and H every timestep
+        to introduce a planewave excitation at the given
         xs, ys slice, moving in z+ direction
 
         Parameters
@@ -96,7 +116,7 @@ def __init__(self, xs=None, ys=None, zs=0, nodes=None, f=None,
         xs, ys: slice, default 0:N
             Transverse positions of the source (indexes)
         zs: int or slice, default 0
-            Injection position in z 
+            Injection position in z
         nodes: float, default 15
             Number of nodes between z.min and z.max
         f: float, default nodes/T
@@ -105,7 +125,7 @@ def __init__(self, xs=None, ys=None, zs=0, nodes=None, f=None,
             Relativistic beta
 
         # TODO: support different directions
-        '''
+        """
         # Check inputs and update self
         self.nodes = nodes
         self.beta = beta
@@ -115,14 +135,14 @@ def __init__(self, xs=None, ys=None, zs=0, nodes=None, f=None,
         self.amplitude = amplitude
         self.is_first_update = True
         self.phase = phase
-     
-        self.vp = self.beta*c_light  # wavefront velocity beta*c
-        self.w = 2*np.pi*self.f      # ang. frequency  
-        self.kz = self.w/c_light     # wave number 
+
+        self.vp = self.beta * c_light  # wavefront velocity beta*c
+        self.w = 2 * np.pi * self.f  # ang. frequency
+        self.kz = self.w / c_light  # wave number
         self.tmax = np.inf
 
         if self.nodes is not None:
-            self.tmax = self.nodes/self.f
+            self.tmax = self.nodes / self.f
 
     def update(self, solver, t):
         if self.is_first_update:
@@ -134,44 +154,65 @@ def update(self, solver, t):
             self.is_first_update = False
 
         if t <= self.tmax:
-            solver.H[self.xs,self.ys,self.zs,'y'] = -self.amplitude * np.cos(self.w*t+self.phase) 
-            solver.E[self.xs,self.ys,self.zs,'x'] = self.amplitude * np.cos(self.w*t+self.phase) /(self.kz/(mu_0*self.vp)) 
+            solver.H[self.xs, self.ys, self.zs, "y"] = -self.amplitude * np.cos(
+                self.w * t + self.phase
+            )
+            solver.E[self.xs, self.ys, self.zs, "x"] = (
+                self.amplitude
+                * np.cos(self.w * t + self.phase)
+                / (self.kz / (mu_0 * self.vp))
+            )
         else:
-            solver.H[self.xs,self.ys,self.zs,'y'] = 0.
-            solver.E[self.xs,self.ys,self.zs,'x'] = 0.
+            solver.H[self.xs, self.ys, self.zs, "y"] = 0.0
+            solver.E[self.xs, self.ys, self.zs, "x"] = 0.0
 
     def plot(self, t):
         fig, ax = plt.subplots()
 
-        sourceH = -self.amplitude * np.cos(self.w*t+self.phase) 
-        sourceE = self.amplitude * np.cos(self.w*t+self.phase) /(self.kz/(mu_0*self.vp)) 
-        
-        sourceH[t>self.tmax] = 0.
-        sourceE[t>self.tmax] = 0.
+        sourceH = -self.amplitude * np.cos(self.w * t + self.phase)
+        sourceE = (
+            self.amplitude
+            * np.cos(self.w * t + self.phase)
+            / (self.kz / (mu_0 * self.vp))
+        )
+
+        sourceH[t > self.tmax] = 0.0
+        sourceE[t > self.tmax] = 0.0
 
-        ax.plot(t, sourceH, 'b')
-        ax.set_xlabel('Time [s]')
-        ax.set_ylabel('Magnetic field Hy [A/m]', color='b')
+        ax.plot(t, sourceH, "b")
+        ax.set_xlabel("Time [s]")
+        ax.set_ylabel("Magnetic field Hy [A/m]", color="b")
         ax.set_ylim(-np.abs(sourceH).max(), +np.abs(sourceH).max())
 
         axx = ax.twinx()
-        axx.plot(t, sourceE, 'r')
-        axx.set_ylabel('Electric field Ex [V/m]', color='r')
+        axx.plot(t, sourceE, "r")
+        axx.set_ylabel("Electric field Ex [V/m]", color="r")
         axx.set_ylim(-np.abs(sourceE).max(), +np.abs(sourceE).max())
 
         fig.tight_layout()
         plt.show()
 
+
 class WavePacket:
-    def __init__(self, xs=None, ys=None, zs=0,
-                 sigmaz=None, sigmaxy=None, tinj=None,
-                 wavelength=None, f=None, 
-                 amplitude=1.0, beta=1.0, phase=0):
-        '''
+    def __init__(
+        self,
+        xs=None,
+        ys=None,
+        zs=0,
+        sigmaz=None,
+        sigmaxy=None,
+        tinj=None,
+        wavelength=None,
+        f=None,
+        amplitude=1.0,
+        beta=1.0,
+        phase=0,
+    ):
+        """
         Updates E and H fields every timestep to
-        introduce a 2d gaussian wave packetat the 
+        introduce a 2d gaussian wave packetat the
         given xs, ys slice travelling in z+ direction
-        
+
         Parameters
         ----
         xs, ys: slice, default 0:N
@@ -190,25 +231,25 @@ def __init__(self, xs=None, ys=None, zs=0,
             Wave packet frequency [Hz], overrides wavelength
         beta: float, default 1.
             Relativistic beta
-        '''
+        """
 
         self.beta = beta
         self.xs, self.ys = xs, ys
         self.zs = zs
         self.f = f
         self.wavelength = wavelength
-        self.sigmaxy = sigmaxy 
+        self.sigmaxy = sigmaxy
         self.sigmaz = sigmaz
-        self.tinj = tinj  
-        self.amplitude = amplitude 
+        self.tinj = tinj
+        self.amplitude = amplitude
         self.phase = phase
 
         if self.f is None:
-            self.f = c_light/self.wavelength
-        self.w = 2*np.pi*self.f
+            self.f = c_light / self.wavelength
+        self.w = 2 * np.pi * self.f
 
         if self.tinj is None:
-            self.tinj = 6*self.sigmaz
+            self.tinj = 6 * self.sigmaz
 
         self.is_first_update = True
 
@@ -223,52 +264,72 @@ def update(self, solver, t):
             if self.sigmaxy is None: 
                 self.sigmaxy = 5*np.mean([np.mean(solver.dx), np.mean(solver.dy)])
             if self.tinj is None:
-                self.tinj = 6*self.sigmaz
+                self.tinj = 6 * self.sigmaz
 
             self.is_first_update = False
-        
+
         # reference shift
-        s0 = solver.z.min()-self.tinj
-        s = solver.z.min()-self.beta*c_light*t
-    
+        s0 = solver.z.min() - self.tinj
+        s = solver.z.min() - self.beta * c_light * t
+
         # 2d gaussian
         X, Y = np.meshgrid(solver.x[self.xs], solver.y[self.ys])
-        gaussxy = np.exp(-(X**2+Y**2)/(2*self.sigmaxy**2))
-        gausst = np.exp(-(s-s0)**2/(2*self.sigmaz**2))
+        gaussxy = np.exp(-(X**2 + Y**2) / (2 * self.sigmaxy**2))
+        gausst = np.exp(-((s - s0) ** 2) / (2 * self.sigmaz**2))
 
         # Update
-        solver.H[self.xs,self.ys,self.zs,'y'] = -self.amplitude*np.cos(self.w*t+self.phase)*gaussxy*gausst
-        solver.E[self.xs,self.ys,self.zs,'x'] = self.amplitude*mu_0*c_light*np.cos(self.w*t+self.phase)*gaussxy*gausst
-    
+        solver.H[self.xs, self.ys, self.zs, "y"] = (
+            -self.amplitude * np.cos(self.w * t + self.phase) * gaussxy * gausst
+        )
+        solver.E[self.xs, self.ys, self.zs, "x"] = (
+            self.amplitude
+            * mu_0
+            * c_light
+            * np.cos(self.w * t + self.phase)
+            * gaussxy
+            * gausst
+        )
+
     def plot(self, t, zmin=0):
         fig, ax = plt.subplots()
 
         # compute source evolution
-        s0 = zmin-self.tinj
-        s = zmin-self.beta*c_light*t
-        gausst = np.exp(-(s-s0)**2/(2*self.sigmaz**2))
-
-        sourceH = -self.amplitude*np.cos(self.w*t+self.phase)*gausst
-        ax.plot(t, sourceH, 'b')
-        ax.set_xlabel('Time [s]')
-        ax.set_ylabel('Magnetic field Hy [A/m]', color='b')
+        s0 = zmin - self.tinj
+        s = zmin - self.beta * c_light * t
+        gausst = np.exp(-((s - s0) ** 2) / (2 * self.sigmaz**2))
+
+        sourceH = -self.amplitude * np.cos(self.w * t + self.phase) * gausst
+        ax.plot(t, sourceH, "b")
+        ax.set_xlabel("Time [s]")
+        ax.set_ylabel("Magnetic field Hy [A/m]", color="b")
         ax.set_ylim(-np.abs(sourceH).max(), +np.abs(sourceH).max())
 
-        sourceE = self.amplitude*mu_0*c_light*np.cos(self.w*t+self.phase)*gausst
+        sourceE = (
+            self.amplitude * mu_0 * c_light * np.cos(self.w * t + self.phase) * gausst
+        )
         axx = ax.twinx()
-        axx.plot(t, sourceE, 'r')
-        axx.set_ylabel('Electric field Ex [V/m]', color='r')
+        axx.plot(t, sourceE, "r")
+        axx.set_ylabel("Electric field Ex [V/m]", color="r")
         axx.set_ylim(-np.abs(sourceE).max(), +np.abs(sourceE).max())
 
         fig.tight_layout()
         plt.show()
 
+
 class Dipole:
-    def __init__(self, field='E', component='z',
-                xs=None, ys=None, zs=None, 
-                nodes=10, f=None, amplitude=1.0,
-                phase=0):
-        '''
+    def __init__(
+        self,
+        field="E",
+        component="z",
+        xs=None,
+        ys=None,
+        zs=None,
+        nodes=10,
+        f=None,
+        amplitude=1.0,
+        phase=0,
+    ):
+        """
         Updates the given field and component every timestep
         to introduce a dipole-like sinusoidal excitation
 
@@ -284,7 +345,7 @@ def __init__(self, field='E', component='z',
             Number of nodes between z.min and z.max
         f: float, default nodes/T
             Frequency of the plane wave [Hz]. It overrides nodes param.
-        '''
+        """
         # Check inputs and update self
         self.nodes = nodes
         self.xs, self.ys, self.zs = xs, ys, zs
@@ -294,44 +355,58 @@ def __init__(self, field='E', component='z',
         self.amplitude = amplitude
         self.phase = phase
 
-        if len(field) == 2: #support for e.g. field='Ex'
+        if len(field) == 2:  # support for e.g. field='Ex'
             self.component = field[1]
             self.field = field[0]
 
         self.is_first_update = True
 
-     
     def update(self, solver, t):
         if self.is_first_update:
             if self.xs is None:
-                self.xs = int(solver.Nx/2)
+                self.xs = int(solver.Nx / 2)
             if self.ys is None:
-                self.ys = int(solver.Ny/2)
+                self.ys = int(solver.Ny / 2)
             if self.zs is None:
-                self.zs = int(solver.Nz/2)
+                self.zs = int(solver.Nz / 2)
             if self.f is None:
-                T = (solver.z.max()-solver.z.min())/c_light
-                self.f = self.nodes/T
-            
-            self.w = 2*np.pi*self.f
+                T = (solver.z.max() - solver.z.min()) / c_light
+                self.f = self.nodes / T
+
+            self.w = 2 * np.pi * self.f
             self.is_first_update = False
 
-        if self.field == 'E':
-            solver.E[self.xs,self.ys,self.zs,self.component] = self.amplitude*np.sin(self.w*t+self.phase) 
-        elif self.field == 'H':
-            solver.H[self.xs,self.ys,self.zs,self.component] = self.amplitude*np.sin(self.w*t+self.phase) 
-        elif self.field == 'J':
-            solver.J[self.xs,self.ys,self.zs,self.component] = self.amplitude*np.sin(self.w*t+self.phase) 
+        if self.field == "E":
+            solver.E[self.xs, self.ys, self.zs, self.component] = (
+                self.amplitude * np.sin(self.w * t + self.phase)
+            )
+        elif self.field == "H":
+            solver.H[self.xs, self.ys, self.zs, self.component] = (
+                self.amplitude * np.sin(self.w * t + self.phase)
+            )
+        elif self.field == "J":
+            solver.J[self.xs, self.ys, self.zs, self.component] = (
+                self.amplitude * np.sin(self.w * t + self.phase)
+            )
         else:
             print(f'Field "{self.field}" not valid, should be "E", "H" or "J"]')
 
+
 class Pulse:
-    def __init__(self, field='E', component='z',
-                xs=None, ys=None, zs=None, 
-                shape='Harris', L=None, amplitude=1.0,
-                delay=0.):
-        '''
-        Injects an electromagnetic pulse at the given 
+    def __init__(
+        self,
+        field="E",
+        component="z",
+        xs=None,
+        ys=None,
+        zs=None,
+        shape="Harris",
+        L=None,
+        amplitude=1.0,
+        delay=0.0,
+    ):
+        """
+        Injects an electromagnetic pulse at the given
         source point (xs, ys, zs), with the selected
         shape, length and amplitude.
 
@@ -349,7 +424,7 @@ def __init__(self, field='E', component='z',
             width of the pulse (~10*sigma)
 
         Note: injection time for the gaussian pulse t0=5*L to ensure smooth derivative.
-        '''
+        """
         # Check inputs and update self
 
         self.xs, self.ys, self.zs = xs, ys, zs
@@ -360,38 +435,48 @@ def __init__(self, field='E', component='z',
         self.L = L
         self.delay = delay
 
-        if len(field) == 2: #support for e.g. field='Ex'
+        if len(field) == 2:  # support for e.g. field='Ex'
             self.component = field[1]
             self.field = field[0]
 
-        if shape.lower() == 'harris':
+        if shape.lower() == "harris":
             self.tprofile = self.harris_pulse
-        elif shape.lower() == 'gaussian':
+        elif shape.lower() == "gaussian":
             self.tprofile = self.gaussian_pulse
-        elif shape.lower() == 'rectangular':
+        elif shape.lower() == "rectangular":
             self.tprofile = self.rectangular_pulse
         else:
-            print('** shape does not, match available types: "Harris", "Gaussian", "Rectangular"')
+            print(
+                '** shape does not, match available types: "Harris", "Gaussian", "Rectangular"'
+            )
 
         self.is_first_update = True
 
     def harris_pulse(self, t):
-        t = t*c_light - self.delay
-        try:
-            if t<self.L: 
-                return (10 - 15*np.cos(2*np.pi/self.L*t) + 6*np.cos(4*np.pi/self.L*t) - np.cos(6*np.pi/self.L*t))/32 #L dividing (working)
-            else:
-                return 0.
-        except: #support for time arrays
-            return (10 - 15*np.cos(2*np.pi/self.L*t) + 6*np.cos(4*np.pi/self.L*t) - np.cos(6*np.pi/self.L*t))/32 #L dividing (working)
+        t = t * c_light - self.delay
+
+        # define the base formula
+        def _pulse(x):
+            return (
+                10
+                - 15 * np.cos(2 * np.pi / self.L * x)
+                + 6 * np.cos(4 * np.pi / self.L * x)
+                - np.cos(6 * np.pi / self.L * x)
+            ) / 32
+
+        # handle scalar or array t
+        t = np.asarray(t)  # ensures array operations work
+
+        # use np.where to apply the condition elementwise
+        return np.where(t < self.L, _pulse(t), 0.0)
 
     def gaussian_pulse(self, t):
-        t = t*c_light - self.delay
-        return np.exp(-(t-5*(self.L/10))**2/(2*(self.L/10)**2))
-    
+        t = t * c_light - self.delay
+        return np.exp(-((t - 5 * (self.L / 10)) ** 2) / (2 * (self.L / 10) ** 2))
+
     def rectangular_pulse(self, t):
-        t = t*c_light - self.delay
-        if t<self.L and t>0.:
+        t = t * c_light - self.delay
+        if t < self.L and t > 0.0:
             return 1.0
         else:
             return 0.0
@@ -399,21 +484,27 @@ def rectangular_pulse(self, t):
     def update(self, solver, t):
         if self.is_first_update:
             if self.xs is None:
-                self.xs = int(solver.Nx/2)
+                self.xs = int(solver.Nx / 2)
             if self.ys is None:
-                self.ys = int(solver.Ny/2)
+                self.ys = int(solver.Ny / 2)
             if self.zs is None:
-                self.zs = int(solver.Nz/2)
+                self.zs = int(solver.Nz / 2)
             if self.L is None:
-                self.L = 50*solver.dt
+                self.L = 50 * solver.dt
 
             self.is_first_update = False
 
-        if self.field == 'E':
-            solver.E[self.xs,self.ys,self.zs,self.component] = self.amplitude*self.tprofile(t)
-        elif self.field == 'H':
-            solver.H[self.xs,self.ys,self.zs,self.component] = self.amplitude*self.tprofile(t) 
-        elif self.field == 'J':
-            solver.J[self.xs,self.ys,self.zs,self.component] = self.amplitude*self.tprofile(t) 
+        if self.field == "E":
+            solver.E[self.xs, self.ys, self.zs, self.component] = (
+                self.amplitude * self.tprofile(t)
+            )
+        elif self.field == "H":
+            solver.H[self.xs, self.ys, self.zs, self.component] = (
+                self.amplitude * self.tprofile(t)
+            )
+        elif self.field == "J":
+            solver.J[self.xs, self.ys, self.zs, self.component] = (
+                self.amplitude * self.tprofile(t)
+            )
         else:
-            print(f'Field "{self.field}" not valid, should be "E", "H" or "J"]')
\ No newline at end of file
+            print(f'Field "{self.field}" not valid, should be "E", "H" or "J"]')
diff --git a/wakis/wakeSolver.py b/wakis/wakeSolver.py
index 1a63c93..569822b 100644
--- a/wakis/wakeSolver.py
+++ b/wakis/wakeSolver.py
@@ -14,8 +14,9 @@
 
 from .logger import Logger
 
-class WakeSolver():
-    ''' Class for wake potential and impedance
+
+class WakeSolver:
+    """Class for wake potential and impedance
     calculation from 3D time domain E fields
     '''
 
@@ -109,13 +110,13 @@ def __init__(self, wakelength=None, q=1e-9, sigmaz=1e-3, beta=1.0,
             Number of transverse cells used for the 3d calculation: 2*n+1
             This determines de size of the 3d wake potential
 
-        '''
+        """
 
-        #beam
+        # beam
         self.q = q
         self.sigmaz = sigmaz
         self.beta = beta
-        self.v = self.beta*c_light
+        self.v = self.beta * c_light
         self.xsource, self.ysource = xsource, ysource
         self.xtest, self.ytest = xtest, ytest
         self.chargedist = chargedist
@@ -126,26 +127,28 @@ def __init__(self, wakelength=None, q=1e-9, sigmaz=1e-3, beta=1.0,
 
         self.counter_moving = counter_moving
 
-        if add_space is not None: #legacy support for add_space
+        if add_space is not None:  # legacy support for add_space
             self.skip_cells = add_space
 
         # Injection time
         if ti is not None:
             self.ti = ti
         else:
-            #ti = 8.548921333333334*self.sigmaz/self.v  #injection time as in CST for beta = 1
-            ti = 8.548921333333334*self.sigmaz/(np.sqrt(self.beta)*self.v) #injection time as in CST for beta <=1
+            # ti = 8.548921333333334*self.sigmaz/self.v  #injection time as in CST for beta = 1
+            ti = (
+                8.548921333333334 * self.sigmaz / (np.sqrt(self.beta) * self.v)
+            )  # injection time as in CST for beta <=1
             self.ti = ti
 
-        #field
+        # field
         self.Ez_file = Ez_file
         self.Ez_hf = None
-        self.Ezt = None     #Ez(x_t, y_t, z, t)
+        self.Ezt = None  # Ez(x_t, y_t, z, t)
         self.t = None
-        self.xf, self.yf, self.zf = None, None, None    #field subdomain
-        self.x, self.y, self.z = None, None, None #full simulation domain
+        self.xf, self.yf, self.zf = None, None, None  # field subdomain
+        self.x, self.y, self.z = None, None, None  # full simulation domain
 
-        #solver init
+        # solver init
         self.wakelength = wakelength
         self.s = None
         self.lambdas = None
@@ -158,26 +161,26 @@ def __init__(self, wakelength=None, q=1e-9, sigmaz=1e-3, beta=1.0,
         self.Zx, self.Zy = None, None
         self.lambdaf = None
 
-        #user
+        # user
         self.verbose = verbose
         self.logger = Logger()
         self.save = save
         self.folder = results_folder
-        if not self.folder.endswith('/'):
-            self.folder+='/'
+        if not self.folder.endswith("/"):
+            self.folder += "/"
         if self.Ez_file is None:
-            self.Ez_file=self.folder+'Ez.h5'
+            self.Ez_file = self.folder + "Ez.h5"
         if self.save:
             if not os.path.exists(self.folder):
                 os.mkdir(self.folder)
-        
+
         self.assign_logs()
 
     def solve(self, compute_plane=None, **kwargs):
-        '''
+        """
         Perform the wake potential and impedance for
         longitudinal and transverse plane
-        '''
+        """
         if compute_plane is None:
             compute_plane = self.compute_plane
 
@@ -186,53 +189,57 @@ def solve(self, compute_plane=None, **kwargs):
 
         t0 = time.time()
 
-        if compute_plane.lower() == 'both' or 'transverse':
+        if compute_plane.lower() == "both" or "transverse":
             # Obtain longitudinal Wake potential
             self.calc_long_WP_3d()
 
-            #Obtain transverse Wake potential
+            # Obtain transverse Wake potential
             self.calc_trans_WP()
 
-            #Obtain the longitudinal impedance
+            # Obtain the longitudinal impedance
             self.calc_long_Z()
 
-            #Obtain transverse impedance
+            # Obtain transverse impedance
             self.calc_trans_Z()
 
-        elif compute_plane == 'longitudinal':
+        elif compute_plane == "longitudinal":
             # Obtain longitudinal Wake potential
             self.calc_long_WP()
 
-            #Obtain the longitudinal impedance
+            # Obtain the longitudinal impedance
             self.calc_long_Z()
 
-        #Elapsed time
+        # Elapsed time
         t1 = time.time()
-        totalt = t1-t0
-        self.log('Calculation terminated in %ds' %totalt)
+        totalt = t1 - t0
+        self.log("Calculation terminated in %ds" % totalt)
 
     def update_long_WP(self, t):
-        '''WIP
+        """WIP
         calculation of wake potential on the fly
         TODO: simplify logic, add transverse WP
-        '''
+        """
 
-        it = int(t/self.dt)
+        it = int(t / self.dt)
         if it == 0:
             # --- setup once before time loop ---
             # self.s already computed as in your calc_long_WP
-            self.s = np.arange(-self.ti*self.v, self.wake.wakelength, self.dt*self.v) # 1D array of s-values (m)
+            self.s = np.arange(
+                -self.ti * self.v, self.wake.wakelength, self.dt * self.v
+            )  # 1D array of s-values (m)
             self.WP = np.zeros_like(self.s, dtype=np.float64)  # accumulator
 
         # --- inside your time loop, after Ez is updated for current timestep `it` ---
         # get Ez at the probe (shape nz,)
         # if you store Ez as Ezt[k, it] style, do:
-        Ez_curr = self.E[self.Nx//2, self.Ny//2, :, 'z']   # or extract from self.E at (xmid, ymid, :) if not using Ezt
+        Ez_curr = self.E[
+            self.Nx // 2, self.Ny // 2, :, "z"
+        ]  # or extract from self.E at (xmid, ymid, :) if not using Ezt
 
         # compute s values for each z where current Ez contributes
         s_vals = self.v * t - self.v * self.ti + np.min(self.z) - self.z
         # convert to fractional index in s-array
-        idxf = (s_vals - self.s[0]) / (self.v*self.dt)   # float indices
+        idxf = (s_vals - self.s[0]) / (self.v * self.dt)  # float indices
 
         # mask in-range contributions
         mask = (idxf >= 0.0) & (idxf <= (len(self.s) - 1))
@@ -248,7 +255,7 @@ def update_long_WP(self, t):
             frac = idxf_m - i0
 
             # handle points that land exactly on last bin: we add all to last bin
-            last_bin_mask = (i0 >= len(self.s) - 1)
+            last_bin_mask = i0 >= len(self.s) - 1
             if np.any(last_bin_mask):
                 # assign entirely to last bin (no i0+1 available)
                 self.WP[-1] += np.sum(Ez_m[last_bin_mask]) * self.dz
@@ -261,15 +268,19 @@ def update_long_WP(self, t):
             # accumulate with linear interpolation weights
             if i0.size:
                 # faster: use bincount
-                left = np.bincount(i0, weights=Ez_m * (1.0 - frac) * self.dz, minlength=len(self.s))
-                right = np.bincount(i0 + 1, weights=Ez_m * frac * self.dz, minlength=len(self.s))
+                left = np.bincount(
+                    i0, weights=Ez_m * (1.0 - frac) * self.dz, minlength=len(self.s)
+                )
+                right = np.bincount(
+                    i0 + 1, weights=Ez_m * frac * self.dz, minlength=len(self.s)
+                )
                 self.WP += left + right
 
-        if it == self.Nt-1:
-            self.WP = self.WP/(self.q*1e12)
+        if it == self.Nt - 1:
+            self.WP = self.WP / (self.q * 1e12)
 
-    def calc_long_WP(self, Ezt=None,**kwargs):
-        '''
+    def calc_long_WP(self, Ezt=None, **kwargs):
+        """
         Obtains the wake potential from the pre-computed longitudinal
         Ez(z,t) field from the specified solver.
         Parameters can be passed as **kwargs.
@@ -293,7 +304,7 @@ def calc_long_WP(self, Ezt=None,**kwargs):
         Ez_file : str, default 'Ez.h5'
             HDF5 file containing the Ez(x, y, z) field data
             for every timestep. Needed only if Ezt is not provided.
-        '''
+        """
         for key, val in kwargs.items():
             setattr(self, key, val)
 
@@ -306,7 +317,7 @@ def calc_long_WP(self, Ezt=None,**kwargs):
 
         # time variables
         nt = len(self.t)
-        dt = self.t[2]-self.t[1]
+        dt = self.t[2] - self.t[1]
         ti = self.ti
 
         # longitudinal variables
@@ -314,7 +325,7 @@ def calc_long_WP(self, Ezt=None,**kwargs):
         zmax = np.max(self.zf) #should it be domain's edge instead?
         zmin = np.min(self.zf)
 
-        if self.skip_cells !=0:
+        if self.skip_cells != 0:
             zz = slice(self.skip_cells, -self.skip_cells)
         else:
             zz = np.s_[:]
@@ -325,32 +336,32 @@ def calc_long_WP(self, Ezt=None,**kwargs):
         if self.wakelength is not None:
             wakelength = self.wakelength
         else:
-            wakelength = nt*dt*self.v - (zmax-zmin) - ti*self.v
+            wakelength = nt * dt * self.v - (zmax - zmin) - ti * self.v
             self.wakelength = wakelength
 
-        s = np.arange(-self.ti*self.v, wakelength, dt*self.v)
+        s = np.arange(-self.ti * self.v, wakelength, dt * self.v)
 
-        self.log('Max simulated time = '+str(round(self.t[-1]*1.0e9,4))+' ns')
-        self.log('Wakelength = '+str(round(wakelength,3))+'m')
+        self.log("Max simulated time = " + str(round(self.t[-1] * 1.0e9, 4)) + " ns")
+        self.log("Wakelength = " + str(round(wakelength, 3)) + "m")
 
         # Initialize
         WP = np.zeros_like(s)
         keys = list(self.Ez_hf.keys())
 
         # check for rounding errors
-        if nt > len(keys)-4:
-            nt = len(keys)-4
-            self.log('*** rounding error in number of timesteps')
+        if nt > len(keys) - 4:
+            nt = len(keys) - 4
+            self.log("*** rounding error in number of timesteps")
 
         # Assembly Ez field
-        self.log('Assembling Ez field...')
-        Ezt = np.zeros((nz,nt))     #Assembly Ez field
+        self.log("Assembling Ez field...")
+        Ezt = np.zeros((nz, nt))  # Assembly Ez field
         Ez = self.Ez_hf[keys[0]]
 
         if len(Ez.shape) == 3:
             for n in range(nt):
                 Ez = self.Ez_hf[keys[n]]
-                Ezt[:, n] = Ez[Ez.shape[0]//2+1,Ez.shape[1]//2+1,zz]
+                Ezt[:, n] = Ez[Ez.shape[0] // 2 + 1, Ez.shape[1] // 2 + 1, zz]
 
         elif len(Ez.shape) == 1:
             for n in range(nt):
@@ -358,26 +369,30 @@ def calc_long_WP(self, Ezt=None,**kwargs):
         self.Ezt = Ezt
 
         # integral of (Ez(xtest, ytest, z, t=(s+z)/c))dz
-        print('Calculating longitudinal wake potential WP(s)...')
-        with tqdm(total=len(s)*len(z)) as pbar:
+        print("Calculating longitudinal wake potential WP(s)...")
+        with tqdm(total=len(s) * len(z)) as pbar:
             for n in range(len(s)):
                 for k in range(nz):
-                    ts = (z[k]+s[n])/self.v-zmin/self.v-self.t[0]+ti
-                    it = int(ts/dt)                 #find index for t
+                    ts = (z[k] + s[n]) / self.v - zmin / self.v - self.t[0] + ti
+                    it = int(ts / dt)  # find index for t
                     if it < nt:
                         WP[n] = WP[n]+(Ezt[k, it])*self.dz[k]   #compute integral
                     pbar.update(1)
 
-        WP = WP/(self.q*1e12)     # [V/pC]
+        WP = WP / (self.q * 1e12)  # [V/pC]
 
         self.s = s
         self.WP = WP
 
         if self.save:
-            np.savetxt(self.folder+'WP.txt', np.c_[self.s,self.WP], header='   s [m]'+' '*20+'WP [V/pC]'+'\n'+'-'*48)
+            np.savetxt(
+                self.folder + "WP.txt",
+                np.c_[self.s, self.WP],
+                header="   s [m]" + " " * 20 + "WP [V/pC]" + "\n" + "-" * 48,
+            )
 
     def calc_long_WP_3d(self, **kwargs):
-        '''
+        """
         Obtains the 3d wake potential from the pre-computed Ez(x,y,z)
         field from the specified solver. The calculation
         Parameters can be passed as **kwargs.
@@ -395,10 +410,10 @@ def calc_long_WP_3d(self, **kwargs):
         n_transverse_cells : int, default 1
             Number of transverse cells used for the 3d calculation: 2*n+1
             This determines de size of the 3d wake potential
-        '''
-        self.log('\n')
-        self.log('Longitudinal wake potential')
-        self.log('-'*24)
+        """
+        self.log("\n")
+        self.log("Longitudinal wake potential")
+        self.log("-" * 24)
 
         for key, val in kwargs.items():
             setattr(self, key, val)
@@ -409,7 +424,7 @@ def calc_long_WP_3d(self, **kwargs):
 
         # time variables
         nt = len(self.t)
-        dt = self.t[2]-self.t[1]
+        dt = self.t[2] - self.t[1]
         ti = self.ti
 
         # longitudinal varianles
@@ -417,7 +432,7 @@ def calc_long_WP_3d(self, **kwargs):
         zmax = np.max(self.zf) 
         zmin = np.min(self.zf)              
 
-        if self.skip_cells !=0:
+        if self.skip_cells != 0:
             zz = slice(self.skip_cells, -self.skip_cells)
         else:
             zz = np.s_[:]
@@ -428,71 +443,83 @@ def calc_long_WP_3d(self, **kwargs):
         if self.wakelength is not None:
             wakelength = self.wakelength
         else:
-            wakelength = nt*dt*self.v - (zmax-zmin) - ti*self.v
+            wakelength = nt * dt * self.v - (zmax - zmin) - ti * self.v
             self.wakelength = wakelength
 
-        s = np.arange(-self.ti*self.v, wakelength, dt*self.v)
+        s = np.arange(-self.ti * self.v, wakelength, dt * self.v)
 
-        self.log(f'* Max simulated time = {np.max(self.t)} s')
-        self.log(f'* Wakelength = {wakelength} m')
+        self.log(f"* Max simulated time = {np.max(self.t)} s")
+        self.log(f"* Wakelength = {wakelength} m")
 
-        #field subvolume in No.cells for x, y
+        # field subvolume in No.cells for x, y
         i0, j0 = self.n_transverse_cells, self.n_transverse_cells
         WP = np.zeros_like(s)
-        WP_3d = np.zeros((i0*2+1,j0*2+1,len(s)))
-        Ezt = np.zeros((nz,nt))
+        WP_3d = np.zeros((i0 * 2 + 1, j0 * 2 + 1, len(s)))
+        Ezt = np.zeros((nz, nt))
         keys = list(self.Ez_hf.keys())
 
         # check for rounding errors
-        if nt > len(keys)-4:
-            nt = len(keys)-4
-            self.log('*** rounding error in number of timesteps')
-
-        print('Calculating longitudinal wake potential WP(s)')
-        with tqdm(total=len(s)*(i0*2+1)*(j0*2+1)) as pbar:
-            for i in range(-i0,i0+1,1):
-                for j in range(-j0,j0+1,1):
-
+        if nt > len(keys) - 4:
+            nt = len(keys) - 4
+            self.log("*** rounding error in number of timesteps")
+
+        print("Calculating longitudinal wake potential WP(s)")
+        with tqdm(total=len(s) * (i0 * 2 + 1) * (j0 * 2 + 1)) as pbar:
+            for i in range(-i0, i0 + 1, 1):
+                for j in range(-j0, j0 + 1, 1):
                     # Assembly Ez field
                     for n in range(nt):
                         Ez = self.Ez_hf[keys[n]]
-                        Ezt[:, n] = Ez[Ez.shape[0]//2+i,Ez.shape[1]//2+j, zz]
+                        Ezt[:, n] = Ez[Ez.shape[0] // 2 + i, Ez.shape[1] // 2 + j, zz]
 
                     # integral of (Ez(xtest, ytest, z, t=(s+z)/c))dz
                     if self.counter_moving:
                         for n in range(len(s)):
                             for k in range(nz):
-                                ts = (z[-k - 1] - s[n]) / (-1 * self.v) - zmax / (-1 * self.v) - self.t[0] + ti
+                                ts = (
+                                    (z[-k - 1] - s[n]) / (-1 * self.v)
+                                    - zmax / (-1 * self.v)
+                                    - self.t[0]
+                                    + ti
+                                )
                                 it = int(ts / dt)  # find index for t
                                 if it < nt:
                                     WP[n] = WP[n] + (Ezt[-k - 1, it]) * (-1 * self.dz[k])  # compute integral
                             pbar.update(1)
 
-
                     else:
                         for n in range(len(s)):
                             for k in range(nz):
-                                ts = (z[k]+s[n])/self.v-zmin/self.v-self.t[0]+ti
+                                ts = (
+                                    (z[k] + s[n]) / self.v
+                                    - zmin / self.v
+                                    - self.t[0]
+                                    + ti
+                                )
                                 it = int(ts / dt)  # find index for t
                                 if it < nt:
                                     WP[n] = WP[n] + (Ezt[k, it]) * self.dz[k]  # compute integral
 
                             pbar.update(1)
 
-                    WP = WP/(self.q*1e12)     # [V/pC]
-                    WP_3d[i0+i,j0+j,:] = WP
+                    WP = WP / (self.q * 1e12)  # [V/pC]
+                    WP_3d[i0 + i, j0 + j, :] = WP
 
         self.s = s
-        self.WP = WP_3d[i0,j0,:]
+        self.WP = WP_3d[i0, j0, :]
         self.WP_3d = WP_3d
 
-        self.log(f'Elapsed time {pbar.format_dict["elapsed"]} s')
+        self.log(f"Elapsed time {pbar.format_dict['elapsed']} s")
 
         if self.save:
-            np.savetxt(self.folder+'WP.txt', np.c_[self.s, self.WP], header='   s [m]'+' '*20+'WP [V/pC]'+'\n'+'-'*48)
+            np.savetxt(
+                self.folder + "WP.txt",
+                np.c_[self.s, self.WP],
+                header="   s [m]" + " " * 20 + "WP [V/pC]" + "\n" + "-" * 48,
+            )
 
     def calc_trans_WP(self, **kwargs):
-        '''
+        """
         Obtains the transverse wake potential from the longitudinal
         wake potential in 3d using the Panofsky-Wenzel theorem using a
         second-order scheme for the gradient calculation
@@ -517,15 +544,15 @@ def calc_trans_WP(self, **kwargs):
         n_transverse_cells : int, default 1
             Number of transverse cells used for the 3d calculation: 2*n+1
             This determines de size of the 3d wake potential
-        '''
+        """
 
         for key, val in kwargs.items():
             setattr(self, key, val)
 
-        self.log('\n')
-        self.log('Transverse wake potential')
-        self.log('-'*24)
-        self.log(f'* No. transverse cells = {self.n_transverse_cells}')
+        self.log("\n")
+        self.log("Transverse wake potential")
+        self.log("-" * 24)
+        self.log(f"* No. transverse cells = {self.n_transverse_cells}")
 
         ds = self.s[2]-self.s[1]
         i0, j0 = self.n_transverse_cells, self.n_transverse_cells
@@ -535,14 +562,16 @@ def calc_trans_WP(self, **kwargs):
         WPy = np.zeros_like(self.s)
         int_WP = np.zeros_like(self.WP_3d)
 
-        print('Calculating transverse wake potential WPx, WPy...')
+        print("Calculating transverse wake potential WPx, WPy...")
         # Obtain the transverse wake potential
-        with tqdm(total=len(self.s)*(i0*2+1)*(j0*2+1)) as pbar:
+        with tqdm(total=len(self.s) * (i0 * 2 + 1) * (j0 * 2 + 1)) as pbar:
             for n in range(len(self.s)):
-                for i in range(-i0,i0+1,1):
-                    for j in range(-j0,j0+1,1):
+                for i in range(-i0, i0 + 1, 1):
+                    for j in range(-j0, j0 + 1, 1):
                         # Perform the integral
-                        int_WP[i0+i,j0+j,n]=np.sum(self.WP_3d[i0+i,j0+j,0:n])*ds
+                        int_WP[i0 + i, j0 + j, n] = (
+                            np.sum(self.WP_3d[i0 + i, j0 + j, 0:n]) * ds
+                        )
                         pbar.update(1)
 
                 # Perform the gradient (second order scheme)
@@ -552,14 +581,22 @@ def calc_trans_WP(self, **kwargs):
         self.WPx = WPx
         self.WPy = WPy
 
-        self.log(f'Elapsed time {pbar.format_dict["elapsed"]} s')
+        self.log(f"Elapsed time {pbar.format_dict['elapsed']} s")
 
         if self.save:
-            np.savetxt(self.folder+'WPx.txt', np.c_[self.s,self.WPx], header='   s [m]'+' '*20+'WP [V/pC]'+'\n'+'-'*48)
-            np.savetxt(self.folder+'WPy.txt', np.c_[self.s,self.WPx], header='   s [m]'+' '*20+'WP [V/pC]'+'\n'+'-'*48)
+            np.savetxt(
+                self.folder + "WPx.txt",
+                np.c_[self.s, self.WPx],
+                header="   s [m]" + " " * 20 + "WP [V/pC]" + "\n" + "-" * 48,
+            )
+            np.savetxt(
+                self.folder + "WPy.txt",
+                np.c_[self.s, self.WPx],
+                header="   s [m]" + " " * 20 + "WP [V/pC]" + "\n" + "-" * 48,
+            )
 
     def calc_long_Z(self, samples=1001, fmax=None, **kwargs):
-        '''
+        """
         Obtains the longitudinal impedance from the longitudinal
         wake potential and the beam charge distribution using a
         single-sided DFT with 1000 samples.
@@ -584,16 +621,16 @@ def calc_long_Z(self, samples=1001, fmax=None, **kwargs):
         sigmaz : float
             Beam sigma in the longitudinal direction [m].
             Used to calculate maximum frequency of interest fmax=c/(3*sigmaz)
-        '''
-        self.log('\n')
-        self.log('Longitudinal impedance')
-        self.log('-'*24)
+        """
+        self.log("\n")
+        self.log("Longitudinal impedance")
+        self.log("-" * 24)
 
         for key, val in kwargs.items():
             setattr(self, key, val)
 
-        print('Calculating longitudinal impedance Z...')
-        self.log(f'Single sided DFT with number of samples = {samples}')
+        print("Calculating longitudinal impedance Z...")
+        self.log(f"Single sided DFT with number of samples = {samples}")
 
         # setup charge distribution in s
         if self.lambdas is None and self.chargedist is not None:
@@ -601,72 +638,92 @@ def calc_long_Z(self, samples=1001, fmax=None, **kwargs):
         elif self.lambdas is None and self.chargedist is None:
             self.calc_lambdas_analytic()
             try:
-                self.log('! Using analytic charge distribution λ(s) since no data was provided')
-            except Exception: #ascii encoder error handling
-                self.log('! Using analytic charge distribution since no data was provided')
+                self.log(
+                    "! Using analytic charge distribution λ(s) since no data was provided"
+                )
+            except Exception:  # ascii encoder error handling
+                self.log(
+                    "! Using analytic charge distribution since no data was provided"
+                )
 
         # Set up the DFT computation
-        ds = np.mean(self.s[1:]-self.s[:-1])
+        ds = np.mean(self.s[1:] - self.s[:-1])
         if fmax is None:
-            fmax = self.v/self.sigmaz/3   #max frequency of interest
-        N = int((self.v/ds)//fmax*samples) #to obtain a 1000 sample single-sided DFT
+            fmax = self.v / self.sigmaz / 3  # max frequency of interest
+        N = int(
+            (self.v / ds) // fmax * samples
+        )  # to obtain a 1000 sample single-sided DFT
 
         # Obtain DFTs - is it v or c?
-        lambdafft = np.fft.fft(self.lambdas*self.v, n=N)
-        WPfft = np.fft.fft(self.WP*1e12, n=N)
-        ffft = np.fft.fftfreq(len(WPfft), ds/self.v)
+        lambdafft = np.fft.fft(self.lambdas * self.v, n=N)
+        WPfft = np.fft.fft(self.WP * 1e12, n=N)
+        ffft = np.fft.fftfreq(len(WPfft), ds / self.v)
 
         # Mask invalid frequencies
-        mask  = np.logical_and(ffft >= 0 , ffft < fmax)
-        WPf = WPfft[mask]*ds
-        lambdaf = lambdafft[mask]*ds
-        self.f = ffft[mask]            # Positive frequencies
+        mask = np.logical_and(ffft >= 0, ffft < fmax)
+        WPf = WPfft[mask] * ds
+        lambdaf = lambdafft[mask] * ds
+        self.f = ffft[mask]  # Positive frequencies
 
         # Compute the impedance
-        self.Z = - WPf / lambdaf
+        self.Z = -WPf / lambdaf
         self.lambdaf = lambdaf
 
         if self.save:
-            np.savetxt(self.folder+'Z.txt', np.c_[self.f, self.Z], header='   f [Hz]'+' '*20+'Z [Ohm]'+'\n'+'-'*48)
-            np.savetxt(self.folder+'spectrum.txt', np.c_[self.f, self.lambdaf], header='   f [Hz]'+' '*20+'Charge distribution spectrum [C/s]'+'\n'+'-'*48)
+            np.savetxt(
+                self.folder + "Z.txt",
+                np.c_[self.f, self.Z],
+                header="   f [Hz]" + " " * 20 + "Z [Ohm]" + "\n" + "-" * 48,
+            )
+            np.savetxt(
+                self.folder + "spectrum.txt",
+                np.c_[self.f, self.lambdaf],
+                header="   f [Hz]"
+                + " " * 20
+                + "Charge distribution spectrum [C/s]"
+                + "\n"
+                + "-" * 48,
+            )
 
     def calc_trans_Z(self, samples=1001, fmax=None):
-        '''
+        """
         Obtains the transverse impedance from the transverse
         wake potential and the beam charge distribution using a
         single-sided DFT with 1000 samples
         Parameters can be passed as **kwargs
-        '''
-        self.log('\n')
-        self.log('Transverse impedance')
-        self.log('-'*24)
+        """
+        self.log("\n")
+        self.log("Transverse impedance")
+        self.log("-" * 24)
 
-        print('Calculating transverse impedance Zx, Zy...')
-        self.log(f'Single sided DFT with number of samples = {samples}')
+        print("Calculating transverse impedance Zx, Zy...")
+        self.log(f"Single sided DFT with number of samples = {samples}")
 
         # Set up the DFT computation
-        ds = np.mean(self.s[1:]-self.s[:-1])
+        ds = np.mean(self.s[1:] - self.s[:-1])
         if fmax is None:
-            fmax = self.v/self.sigmaz/3   #max frequency of interest
-        N = int((self.v/ds)//fmax*samples) #to obtain a 1000 sample single-sided DFT
+            fmax = self.v / self.sigmaz / 3  # max frequency of interest
+        N = int(
+            (self.v / ds) // fmax * samples
+        )  # to obtain a 1000 sample single-sided DFT
 
         # Obtain DFTs
 
         # Normalized charge distribution λ(w)
-        lambdafft = np.fft.fft(self.lambdas*self.v, n=N)
-        ffft=np.fft.fftfreq(len(lambdafft), ds/self.v)
-        mask  = np.logical_and(ffft >= 0 , ffft < fmax)
-        lambdaf = lambdafft[mask]*ds
+        lambdafft = np.fft.fft(self.lambdas * self.v, n=N)
+        ffft = np.fft.fftfreq(len(lambdafft), ds / self.v)
+        mask = np.logical_and(ffft >= 0, ffft < fmax)
+        lambdaf = lambdafft[mask] * ds
 
         # Horizontal impedance Zx⊥(w)
-        WPxfft = np.fft.fft(self.WPx*1e12, n=N)
-        WPxf = WPxfft[mask]*ds
+        WPxfft = np.fft.fft(self.WPx * 1e12, n=N)
+        WPxf = WPxfft[mask] * ds
 
         self.Zx = 1j * WPxf / lambdaf
 
         # Vertical impedance Zy⊥(w)
-        WPyfft = np.fft.fft(self.WPy*1e12, n=N)
-        WPyf = WPyfft[mask]*ds
+        WPyfft = np.fft.fft(self.WPy * 1e12, n=N)
+        WPyf = WPyfft[mask] * ds
 
         self.Zy = 1j * WPyf / lambdaf
 
@@ -674,11 +731,19 @@ def calc_trans_Z(self, samples=1001, fmax=None):
         self.fy = ffft[mask]
 
         if self.save:
-            np.savetxt(self.folder+'Zx.txt', np.c_[self.fx, self.Zx], header='   f [Hz]'+' '*20+'Zx [Ohm]'+'\n'+'-'*48)
-            np.savetxt(self.folder+'Zy.txt', np.c_[self.fy, self.Zy], header='   f [Hz]'+' '*20+'Zy [Ohm]'+'\n'+'-'*48)
+            np.savetxt(
+                self.folder + "Zx.txt",
+                np.c_[self.fx, self.Zx],
+                header="   f [Hz]" + " " * 20 + "Zx [Ohm]" + "\n" + "-" * 48,
+            )
+            np.savetxt(
+                self.folder + "Zy.txt",
+                np.c_[self.fy, self.Zy],
+                header="   f [Hz]" + " " * 20 + "Zy [Ohm]" + "\n" + "-" * 48,
+            )
 
     def calc_lambdas(self, **kwargs):
-        '''Obtains normalized charge distribution in terms of s
+        """Obtains normalized charge distribution in terms of s
         λ(s) to use in the Impedance calculation
 
         Parameters
@@ -695,7 +760,7 @@ def calc_lambdas(self, **kwargs):
             vector containing z-coordinates of the domain [m]
         zf : ndarray, optional
             vector containing z-coordinates of the field monitor [m]. N
-        '''
+        """
         for key, val in kwargs.items():
             setattr(self, key, val)
 
@@ -717,15 +782,23 @@ def calc_lambdas(self, **kwargs):
             elif len(self.zf) == len(self.chargedist):
                 z = self.zf
             else:
-                self.log('Dimension error: check input dimensions')
+                self.log("Dimension error: check input dimensions")
 
-        self.lambdas = np.interp(self.s, z, chargedist/self.q)
+        self.lambdas = np.interp(self.s, z, chargedist / self.q)
 
         if self.save:
-            np.savetxt(self.folder+'lambda.txt', np.c_[self.s, self.lambdas], header='   s [Hz]'+' '*20+'Charge distribution [C/m]'+'\n'+'-'*48)
+            np.savetxt(
+                self.folder + "lambda.txt",
+                np.c_[self.s, self.lambdas],
+                header="   s [Hz]"
+                + " " * 20
+                + "Charge distribution [C/m]"
+                + "\n"
+                + "-" * 48,
+            )
 
     def calc_lambdas_analytic(self, **kwargs):
-        '''Obtains normalized charge distribution in s λ(z)
+        """Obtains normalized charge distribution in s λ(z)
         as an analytical gaussian centered in s=0 and std
         equal sigmaz
 
@@ -737,27 +810,52 @@ def calc_lambdas_analytic(self, **kwargs):
             where sigmat = sigmaz/c and WL is the Wakelength
         sigmaz : float
             Beam sigma in the longitudinal direction [m]
-        '''
+        """
 
         for key, val in kwargs.items():
             setattr(self, key, val)
 
-        self.lambdas = 1/(self.sigmaz*np.sqrt(2*np.pi))*np.exp(-(self.s**2)/(2*self.sigmaz**2))
+        self.lambdas = (
+            1
+            / (self.sigmaz * np.sqrt(2 * np.pi))
+            * np.exp(-(self.s**2) / (2 * self.sigmaz**2))
+        )
 
         if self.save:
-            np.savetxt(self.folder+'lambda.txt', np.c_[self.s, self.lambdas], header='   s [Hz]'+' '*20+'Charge distribution [C/m]'+'\n'+'-'*48)
-
-    def get_SmartBounds(self, freq_data=None, impedance_data=None,
-                        minimum_peak_height=1.0, distance=3, inspect_bounds=True,
-                        Rs_bounds=[0.8, 10], Q_bounds=[0.5, 5], fres_bounds=[-0.01e9, +0.01e9]
-                        ):
+            np.savetxt(
+                self.folder + "lambda.txt",
+                np.c_[self.s, self.lambdas],
+                header="   s [Hz]"
+                + " " * 20
+                + "Charge distribution [C/m]"
+                + "\n"
+                + "-" * 48,
+            )
+
+    def get_SmartBounds(
+        self,
+        freq_data=None,
+        impedance_data=None,
+        minimum_peak_height=1.0,
+        distance=3,
+        inspect_bounds=True,
+        Rs_bounds=[0.8, 10],
+        Q_bounds=[0.5, 5],
+        fres_bounds=[-0.01e9, +0.01e9],
+    ):
         import iddefix
 
-        self.log('\nCalculating bounds using the Smart Bound Determination...')
+        self.log("\nCalculating bounds using the Smart Bound Determination...")
         # Smart bounds
         # Find the main resonators and estimate the bounds -courtesy of Malthe Raschke!
-        bounds = iddefix.SmartBoundDetermination(freq_data, np.real(impedance_data), minimum_peak_height=minimum_peak_height,
-                                                Rs_bounds=Rs_bounds, Q_bounds=Q_bounds, fres_bounds=fres_bounds)
+        bounds = iddefix.SmartBoundDetermination(
+            freq_data,
+            np.real(impedance_data),
+            minimum_peak_height=minimum_peak_height,
+            Rs_bounds=Rs_bounds,
+            Q_bounds=Q_bounds,
+            fres_bounds=fres_bounds,
+        )
 
         bounds.find(minimum_peak_height=minimum_peak_height, distance=distance)
 
@@ -769,72 +867,96 @@ def get_SmartBounds(self, freq_data=None, impedance_data=None,
         bounds.to_table()
         return bounds
 
-
-    def get_DEmodel_fitting(self, freq_data=None, impedance_data=None,
-                         plane='longitudinal', dim='z',
-                         parameterBounds=None, N_resonators=None, DE_kernel='DE',
-                         maxiter=1e5, cmaes_sigma=0.01, popsize=150, tol=1e-3,
-                         use_minimization=True, minimization_margin=[0.3, 0.2, 0.01],
-                         minimum_peak_height=1.0, distance=3, inspect_bounds=False,
-                         Rs_bounds=[0.8, 10], Q_bounds=[0.5, 5], fres_bounds=[-0.01e9, +0.01e9],
-                         ):
+    def get_DEmodel_fitting(
+        self,
+        freq_data=None,
+        impedance_data=None,
+        plane="longitudinal",
+        dim="z",
+        parameterBounds=None,
+        N_resonators=None,
+        DE_kernel="DE",
+        maxiter=1e5,
+        cmaes_sigma=0.01,
+        popsize=150,
+        tol=1e-3,
+        use_minimization=True,
+        minimization_margin=[0.3, 0.2, 0.01],
+        minimum_peak_height=1.0,
+        distance=3,
+        inspect_bounds=False,
+        Rs_bounds=[0.8, 10],
+        Q_bounds=[0.5, 5],
+        fres_bounds=[-0.01e9, +0.01e9],
+    ):
         import iddefix
 
         if freq_data is None or impedance_data is None:
-            if plane == 'longitudinal' and dim == 'z':
+            if plane == "longitudinal" and dim == "z":
                 freq_data = self.f
                 impedance_data = self.Z
-            elif plane == 'transverse':
-                if dim == 'x':
+            elif plane == "transverse":
+                if dim == "x":
                     freq_data = self.fx
                     impedance_data = self.Zx
-                elif dim == 'y':
+                elif dim == "y":
                     freq_data = self.fy
                     impedance_data = self.Zy
                 else:
                     raise ValueError('Invalid dimension. Use dim = "x" or "y".')
             else:
-                raise ValueError('Invalid plane or dimension. Use plane = "longitudinal" or "transverse" and choose the dimension dim = "z", "x" or "y".')
+                raise ValueError(
+                    'Invalid plane or dimension. Use plane = "longitudinal" or "transverse" and choose the dimension dim = "z", "x" or "y".'
+                )
 
         if parameterBounds is None or N_resonators is None:
-            bounds = self.get_SmartBounds(parameterBounds=parameterBounds,
-                                        N_resonators=N_resonators,
-                                        minimum_peak_height=minimum_peak_height,
-                                        distance=distance,
-                                        inspect_bounds=inspect_bounds,
-                                        Rs_bounds=Rs_bounds, Q_bounds=Q_bounds, fres_bounds=fres_bounds)
+            bounds = self.get_SmartBounds(
+                parameterBounds=parameterBounds,
+                N_resonators=N_resonators,
+                minimum_peak_height=minimum_peak_height,
+                distance=distance,
+                inspect_bounds=inspect_bounds,
+                Rs_bounds=Rs_bounds,
+                Q_bounds=Q_bounds,
+                fres_bounds=fres_bounds,
+            )
             N_resonators = bounds.N_resonators
             parameterBounds = bounds.parameterBounds
 
         # Build the differential evolution model
-        print('Fitting the impedance using Differential Evolution...')
-        self.log('\nExtrapolating wake potential using Differential Evolution...')
-
-        objectiveFunction=iddefix.ObjectiveFunctions.sumOfSquaredErrorReal
-        DE_model = iddefix.EvolutionaryAlgorithm(freq_data,
-                                                np.real(impedance_data),
-                                                N_resonators=N_resonators,
-                                                parameterBounds=parameterBounds,
-                                                plane=plane,
-                                                fitFunction='impedance',
-                                                wake_length=self.wakelength, # in [m]
-                                                objectiveFunction=objectiveFunction,
-                                                )
-
-        if DE_kernel == 'DE':
-            DE_model.run_differential_evolution(maxiter=int(maxiter),
-                                                popsize=popsize,
-                                                tol=tol,
-                                                mutation=(0.3, 0.8),
-                                                crossover_rate=0.5)
-
-        elif DE_kernel == 'CMAES': #TODO: fix UnboundLocalError
-            DE_model.run_cmaes(maxiter=int(maxiter),
-                                popsize=popsize,
-                                sigma=cmaes_sigma,)
+        print("Fitting the impedance using Differential Evolution...")
+        self.log("\nExtrapolating wake potential using Differential Evolution...")
+
+        objectiveFunction = iddefix.ObjectiveFunctions.sumOfSquaredErrorReal
+        DE_model = iddefix.EvolutionaryAlgorithm(
+            freq_data,
+            np.real(impedance_data),
+            N_resonators=N_resonators,
+            parameterBounds=parameterBounds,
+            plane=plane,
+            fitFunction="impedance",
+            wake_length=self.wakelength,  # in [m]
+            objectiveFunction=objectiveFunction,
+        )
+
+        if DE_kernel == "DE":
+            DE_model.run_differential_evolution(
+                maxiter=int(maxiter),
+                popsize=popsize,
+                tol=tol,
+                mutation=(0.3, 0.8),
+                crossover_rate=0.5,
+            )
+
+        elif DE_kernel == "CMAES":  # TODO: fix UnboundLocalError
+            DE_model.run_cmaes(
+                maxiter=int(maxiter),
+                popsize=popsize,
+                sigma=cmaes_sigma,
+            )
 
         if use_minimization:
-            self.log('Running minimization algorithm...')
+            self.log("Running minimization algorithm...")
             DE_model.run_minimization_algorithm(minimization_margin)
 
         self.DE_model = DE_model
@@ -845,97 +967,106 @@ def get_DEmodel_fitting(self, freq_data=None, impedance_data=None,
         return DE_model
 
     def get_extrapolated_wake(self, wakelength, sigma=None, use_minimization=True):
-        '''
+        """
         Get the extrapolated wake potential [V/pC] from the DE model
-        '''
+        """
         if self.DE_model is None:
-            raise AttributeError('Run get_DEmodel() first to obtain the DE model')
+            raise AttributeError("Run get_DEmodel() first to obtain the DE model")
 
         if sigma is None:
-            sigma = self.sigmaz/c_light
+            sigma = self.sigmaz / c_light
 
         # Get the extrapolated wake potential
         # TODO: add beta
-        t = np.arange(self.s[0]/c_light, wakelength/c_light, (self.s[2]-self.s[1])/c_light)
-        wake_potential = self.DE_model.get_wake_potential(t, sigma=sigma,
-                                    use_minimization=use_minimization)
+        t = np.arange(
+            self.s[0] / c_light, wakelength / c_light, (self.s[2] - self.s[1]) / c_light
+        )
+        wake_potential = self.DE_model.get_wake_potential(
+            t, sigma=sigma, use_minimization=use_minimization
+        )
 
         s = t * c_light  # Convert time to distance [m]
-        return s, -wake_potential*1e-12 # in [V/pC] + CST convention
+        return s, -wake_potential * 1e-12  # in [V/pC] + CST convention
 
     def get_extrapolated_wake_function(self, wakelength, use_minimization=True):
-        '''
+        """
         Get the extrapolated wake function (a.k.a. Green function) from the DE model
-        '''
+        """
         if self.DE_model is None:
-            raise AttributeError('Run get_DEmodel() first to obtain the DE model')
+            raise AttributeError("Run get_DEmodel() first to obtain the DE model")
 
-        t = np.arange(self.s[0]/c_light, wakelength/c_light, (self.s[2]-self.s[1])/c_light)
+        t = np.arange(
+            self.s[0] / c_light, wakelength / c_light, (self.s[2] - self.s[1]) / c_light
+        )
         wake_function = self.DE_model.get_wake(t, use_minimization=use_minimization)
         return t, wake_function
 
-    def get_extrapolated_impedance(self, f=None, use_minimization=True,
-                                   wakelength=None):
-        '''
+    def get_extrapolated_impedance(
+        self, f=None, use_minimization=True, wakelength=None
+    ):
+        """
         Get the extrapolated impedance [Ohm] from the DE model
-        '''
+        """
         if self.DE_model is None:
-            raise AttributeError('Run get_DEmodel() first to obtain the DE model')
+            raise AttributeError("Run get_DEmodel() first to obtain the DE model")
 
         if f is None:
             f = self.DE_model.frequency_data
 
-        impedance = self.DE_model.get_impedance(frequency_data=f,
-                                                use_minimization=use_minimization,
-                                                wakelength=wakelength)
+        impedance = self.DE_model.get_impedance(
+            frequency_data=f, use_minimization=use_minimization, wakelength=wakelength
+        )
         return f, impedance
 
     @staticmethod
-    def calc_impedance_from_wake(wake, s=None, t=None, fmax=None,
-                                    samples=None, verbose=True):
+    def calc_impedance_from_wake(
+        wake, s=None, t=None, fmax=None, samples=None, verbose=True
+    ):
         if type(wake) is list:
             t = wake[0]
             wake = wake[1]
         if s is not None:
-            t = s/c_light
+            t = s / c_light
         elif s is None and t is None:
-            raise AttributeError('Provide time data through parameter "t" [s] or "s" [m]')
-        dt = np.mean(t[1:]-t[:-1])
+            raise AttributeError(
+                'Provide time data through parameter "t" [s] or "s" [m]'
+            )
+        dt = np.mean(t[1:] - t[:-1])
 
         # Maximum frequency: fmax = 1/dt
         if fmax is not None:
-            aux = np.arange(t.min(), t.max(), 1/fmax/2)
+            aux = np.arange(t.min(), t.max(), 1 / fmax / 2)
             wake = np.interp(aux, t, wake)
-            dt = np.mean(aux[1:]-aux[:-1])
+            dt = np.mean(aux[1:] - aux[:-1])
             del aux
         else:
-            fmax = 1/dt
+            fmax = 1 / dt
         # Time resolution: fres=(1/len(wake)/dt/2)
 
         # Obtain DFTs
         if samples is not None:
-            Wfft = np.fft.fft(wake, n=2*samples)
+            Wfft = np.fft.fft(wake, n=2 * samples)
         else:
             Wfft = np.fft.fft(wake)
 
         ffft = np.fft.fftfreq(len(Wfft), dt)
 
         # Mask invalid frequencies
-        mask  = np.logical_and(ffft >= 0 , ffft < fmax)
-        Z = Wfft[mask]/len(wake)*2
-        f = ffft[mask]            # Positive frequencies
+        mask = np.logical_and(ffft >= 0, ffft < fmax)
+        Z = Wfft[mask] / len(wake) * 2
+        f = ffft[mask]  # Positive frequencies
 
         if verbose:
-            print(f'* Number of samples = {len(f)}')
-            print(f'* Maximum frequency = {f.max()} Hz')
-            print(f'* Maximum resolution = {np.mean(f[1:]-f[:-1])} Hz')
+            print(f"* Number of samples = {len(f)}")
+            print(f"* Maximum frequency = {f.max()} Hz")
+            print(f"* Maximum resolution = {np.mean(f[1:] - f[:-1])} Hz")
 
         return [f, Z]
 
     @staticmethod
-    def calc_wake_from_impedance(impedance, f=None, tmax=None,
-                                samples=None, pad=0, verbose=True):
-
+    def calc_wake_from_impedance(
+        impedance, f=None, tmax=None, samples=None, pad=0, verbose=True
+    ):
         if len(impedance) == 2:
             f = impedance[0]
             Z = impedance[1]
@@ -943,45 +1074,49 @@ def calc_wake_from_impedance(impedance, f=None, tmax=None,
             raise AttributeError('Provide frequency data through parameter "f"')
         else:
             Z = impedance
-        df = np.mean(f[1:]-f[:-1])
+        df = np.mean(f[1:] - f[:-1])
 
         # Maximum time: tmax = 1/(f[2]-f[1])
         if tmax is not None:
-            aux = np.arange(f.min(), f.max(), 1/tmax)
+            aux = np.arange(f.min(), f.max(), 1 / tmax)
             Z = np.interp(aux, f, Z)
-            df = np.mean(aux[1:]-aux[:-1])
+            df = np.mean(aux[1:] - aux[:-1])
             del aux
         else:
-            tmax = 1/df
+            tmax = 1 / df
 
         # Time resolution: tres=(1/len(Z)/(f[2]-f[1]))
         # pad = int(1/df/tres - len(Z))
         # wake = np.real(np.fft.ifft(np.pad(Z, pad)))
-        wake = np.real(-1*np.fft.fft(Z, n=samples))
-        wake = np.roll(wake,-1)
+        wake = np.real(-1 * np.fft.fft(Z, n=samples))
+        wake = np.roll(wake, -1)
         # Inverse fourier transform of impedance
         t = np.linspace(0, tmax, len(wake))
 
         if verbose:
-            print(f'* Number of samples = {len(t)}')
-            print(f'* Maximum time = {t.max()} s')
-            print(f'* Maximum resolution = {np.mean(t[1:]-t[:-1])} s')
+            print(f"* Number of samples = {len(t)}")
+            print(f"* Maximum time = {t.max()} s")
+            print(f"* Maximum resolution = {np.mean(t[1:] - t[:-1])} s")
 
         return [t, wake]
 
     def read_Ez(self, filename=None, return_value=False):
-        '''
+        """
         Read the Ez.h5 file containing the Ez field information
-        '''
+        """
 
         if filename is None:
             filename = self.Ez_file
 
-        hf = h5py.File(filename, 'r')
-        print(f'Reading h5 file {filename}' )
-        self.log('Size of the h5 file: ' + str(round((os.path.getsize(filename)/10**9),2))+' Gb')
+        hf = h5py.File(filename, "r")
+        print(f"Reading h5 file {filename}")
+        self.log(
+            "Size of the h5 file: "
+            + str(round((os.path.getsize(filename) / 10**9), 2))
+            + " Gb"
+        )
 
-        #Set attributes
+        # Set attributes
         self.Ez_hf = hf
         self.Ez_file = filename
         if 'x' in hf.keys():
@@ -1003,42 +1138,51 @@ def read_Ez(self, filename=None, return_value=False):
             return hf
 
     def read_txt(self, txt, skiprows=2, delimiter=None, usecols=None):
-        '''
+        """
         Reads txt variables from ascii files and
         returns data in a dictionary. Header should
         be the first line.
-        '''
+        """
 
         try:
-            load = np.loadtxt(txt, skiprows=skiprows, delimiter=delimiter, usecols=usecols)
+            load = np.loadtxt(
+                txt, skiprows=skiprows, delimiter=delimiter, usecols=usecols
+            )
         except Exception:
             if self.verbose:
-                print(f'[!] Using dtype=np.complex128 to read {txt}')
-            load = np.loadtxt(txt, skiprows=skiprows, delimiter=delimiter,
-                              usecols=usecols, dtype=np.complex128)
-
-        try: # keys == header names
+                print(f"[!] Using dtype=np.complex128 to read {txt}")
+            load = np.loadtxt(
+                txt,
+                skiprows=skiprows,
+                delimiter=delimiter,
+                usecols=usecols,
+                dtype=np.complex128,
+            )
+
+        try:  # keys == header names
             with open(txt) as f:
                 header = f.readline()
 
-            header = header.replace(' ', '')
-            header = header.replace('#', '')
-            header = header.replace('\n', '')
-            header = header.split(']')
+            header = header.replace(" ", "")
+            header = header.replace("#", "")
+            header = header.replace("\n", "")
+            header = header.split("]")
 
             d = {}
-            for i in range(len(load[0,:])):
-                d[header[i]+']'] = load[:, i]
+            for i in range(len(load[0, :])):
+                d[header[i] + "]"] = load[:, i]
 
-        except Exception: #keys == int 0, 1, ...
-            print('[!] Using integer keys since no header was found')
+        except Exception:  # keys == int 0, 1, ...
+            print("[!] Using integer keys since no header was found")
             d = {}
-            for i in range(len(load[0,:])):
+            for i in range(len(load[0, :])):
                 d[i] = load[:, i]
 
         return d
 
-    def save_txt(self, f_name, x_data=None, y_data=None, x_name='X [-]', y_name='Y [-]'):
+    def save_txt(
+        self, f_name, x_data=None, y_data=None, x_name="X [-]", y_name="Y [-]"
+    ):
         """
         Saves x and y data to a text file in a two-column format.
 
@@ -1083,38 +1227,42 @@ def save_txt(self, f_name, x_data=None, y_data=None, x_name='X [-]', y_name='Y [
             10.00                  -0.54
         """
         if x_data is not None and y_data is not None:
-            np.savetxt(f_name+'.txt', np.c_[x_data, y_data], header='   '+x_name+' '*20+y_name+'\n'+'-'*48)
+            np.savetxt(
+                f_name + ".txt",
+                np.c_[x_data, y_data],
+                header="   " + x_name + " " * 20 + y_name + "\n" + "-" * 48,
+            )
         else:
-            print('txt not saved, please provide x_data and y_data')
+            print("txt not saved, please provide x_data and y_data")
 
     def load_results(self, folder=None):
-        '''Load all txt from a given folder
+        """Load all txt from a given folder
 
         The txt files are generated when
         the attribute`save = True` is used
-        '''
+        """
         if folder is None and self.folder is None:
-            raise Exception('[!] Please provide a folder path')
+            raise Exception("[!] Please provide a folder path")
         elif folder is None:
             folder = self.folder
 
-        if not folder.endswith('/'):
-            folder = folder + '/'
+        if not folder.endswith("/"):
+            folder = folder + "/"
 
-        _, self.lambdas = self.read_txt(folder+'lambda.txt').values()
-        _, self.WPx = self.read_txt(folder+'WPx.txt').values()
-        _, self.WPy = self.read_txt(folder+'WPy.txt').values()
-        self.s, self.WP = self.read_txt(folder+'WP.txt').values()
+        _, self.lambdas = self.read_txt(folder + "lambda.txt").values()
+        _, self.WPx = self.read_txt(folder + "WPx.txt").values()
+        _, self.WPy = self.read_txt(folder + "WPy.txt").values()
+        self.s, self.WP = self.read_txt(folder + "WP.txt").values()
 
-        _, self.lambdaf = self.read_txt(folder+'spectrum.txt').values()
-        _, self.Zx = self.read_txt(folder+'Zx.txt').values()
-        _, self.Zy = self.read_txt(folder+'Zy.txt').values()
-        self.f, self.Z = self.read_txt(folder+'Z.txt').values()
+        _, self.lambdaf = self.read_txt(folder + "spectrum.txt").values()
+        _, self.Zx = self.read_txt(folder + "Zx.txt").values()
+        _, self.Zy = self.read_txt(folder + "Zy.txt").values()
+        self.f, self.Z = self.read_txt(folder + "Z.txt").values()
 
         self.f = np.abs(self.f)
         self.wakelength = self.s[-1]
         self.folder = folder
-        self.Ez_file = folder + 'Ez.h5'
+        self.Ez_file = folder + "Ez.h5"
 
     def copy(self):
         obj = type(self).__new__(self.__class__)
@@ -1123,10 +1271,10 @@ def copy(self):
 
     def log(self, txt):
         if self.verbose:
-            print('\x1b[2;37m'+txt+'\x1b[0m')
+            print("\x1b[2;37m" + txt + "\x1b[0m")
 
-    def read_cst_3d(self, path=None, folder='3d', filename='Ez.h5', units=1e-3):
-        '''
+    def read_cst_3d(self, path=None, folder="3d", filename="Ez.h5", units=1e-3):
+        """
         Read CST 3d exports folder and store the
         Ez field information into a matrix Ez(x,y,z)
         for every timestep into a single `.h5` file
@@ -1140,147 +1288,159 @@ def read_cst_3d(self, path=None, folder='3d', filename='Ez.h5', units=1e-3):
             Folder containing the CST field data .txt files
         filename: str, default 'Ez.h5'
             Name of the h5 file that will be generated
-        '''
+        """
 
-        self.log('Reading 3d CST field exports')
-        self.log('-'*24)
+        self.log("Reading 3d CST field exports")
+        self.log("-" * 24)
 
         if path is None:
-            path = folder + '/'
+            path = folder + "/"
 
         # Rename files with E-02, E-03
-        for file in glob.glob(path +'*E-02.txt'):
-            file=file.split(path)
-            title=file[1].split('_')
-            num=title[1].split('E')
-            num[0]=float(num[0])/100
-
-            ntitle=title[0]+'_'+str(num[0])+'.txt'
-            shutil.copy(path+file[1], path+file[1]+'.old')
-            os.rename(path+file[1], path+ntitle)
-
-        for file in glob.glob(path +'*E-03.txt'):
-            file=file.split(path)
-            title=file[1].split('_')
-            num=title[1].split('E')
-            num[0]=float(num[0])/1000
-
-            ntitle=title[0]+'_'+str(num[0])+'.txt'
-            shutil.copy(path+file[1], path+file[1]+'.old')
-            os.rename(path+file[1], path+ntitle)
-
-        for file in glob.glob(path +'*_0.txt'):
-            file=file.split(path)
-            title=file[1].split('_')
-            num=title[1].split('.')
-            num[0]=float(num[0])
-
-            ntitle=title[0]+'_'+str(num[0])+'.txt'
-            shutil.copy(path+file[1], path+file[1]+'.old')
-            os.rename(path+file[1], path+ntitle)
-
-        #sort
+        for file in glob.glob(path + "*E-02.txt"):
+            file = file.split(path)
+            title = file[1].split("_")
+            num = title[1].split("E")
+            num[0] = float(num[0]) / 100
+
+            ntitle = title[0] + "_" + str(num[0]) + ".txt"
+            shutil.copy(path + file[1], path + file[1] + ".old")
+            os.rename(path + file[1], path + ntitle)
+
+        for file in glob.glob(path + "*E-03.txt"):
+            file = file.split(path)
+            title = file[1].split("_")
+            num = title[1].split("E")
+            num[0] = float(num[0]) / 1000
+
+            ntitle = title[0] + "_" + str(num[0]) + ".txt"
+            shutil.copy(path + file[1], path + file[1] + ".old")
+            os.rename(path + file[1], path + ntitle)
+
+        for file in glob.glob(path + "*_0.txt"):
+            file = file.split(path)
+            title = file[1].split("_")
+            num = title[1].split(".")
+            num[0] = float(num[0])
+
+            ntitle = title[0] + "_" + str(num[0]) + ".txt"
+            shutil.copy(path + file[1], path + file[1] + ".old")
+            os.rename(path + file[1], path + ntitle)
+
+        # sort
         try:
+
             def sorter(item):
-                num=item.split(path)[1].split('_')[1].split('.txt')[0]
+                num = item.split(path)[1].split("_")[1].split(".txt")[0]
                 return float(num)
-            fnames = sorted(glob.glob(path+'*.txt'), key=sorter)
+
+            fnames = sorted(glob.glob(path + "*.txt"), key=sorter)
         except Exception:
-            print('[!] Using default sorting for the files')
-            fnames = sorted(glob.glob(path+'*.txt'))
+            print("[!] Using default sorting for the files")
+            fnames = sorted(glob.glob(path + "*.txt"))
 
-        #Get the number of longitudinal and transverse cells used for Ez
-        i=0
+        # Get the number of longitudinal and transverse cells used for Ez
+        i = 0
         with open(fnames[0]) as f:
-            lines=f.readlines()
-            n_rows = len(lines)-3 #n of rows minus the header
-            x1=lines[3].split()[0]
+            lines = f.readlines()
+            n_rows = len(lines) - 3  # n of rows minus the header
+            x1 = lines[3].split()[0]
 
             while True:
-                i+=1
-                x2=lines[i+3].split()[0]
-                if x1==x2:
+                i += 1
+                x2 = lines[i + 3].split()[0]
+                if x1 == x2:
                     break
 
-        n_transverse_cells=i
-        n_longitudinal_cells=int(n_rows/(n_transverse_cells**2))
+        n_transverse_cells = i
+        n_longitudinal_cells = int(n_rows / (n_transverse_cells**2))
 
         # Create h5 file
-        if os.path.exists(path+filename):
-            os.remove(path+filename)
+        if os.path.exists(path + filename):
+            os.remove(path + filename)
 
-        hf = h5py.File(path+filename, 'w')
+        hf = h5py.File(path + filename, "w")
 
         # Initialize variables
-        Ez=np.zeros((n_transverse_cells, n_transverse_cells, n_longitudinal_cells))
-        x=np.zeros((n_transverse_cells))
-        y=np.zeros((n_transverse_cells))
-        z=np.zeros((n_longitudinal_cells))
-        t=[]
+        Ez = np.zeros((n_transverse_cells, n_transverse_cells, n_longitudinal_cells))
+        x = np.zeros((n_transverse_cells))
+        y = np.zeros((n_transverse_cells))
+        z = np.zeros((n_longitudinal_cells))
+        t = []
 
         nsteps, i, j, k = 0, 0, 0, 0
-        skip=-4 #number of rows to skip
-        rows=skip
+        skip = -4  # number of rows to skip
+        rows = skip
 
         # Start scan
-        self.log(f'Scanning files in {path}:')
+        self.log(f"Scanning files in {path}:")
         for file in tqdm(fnames):
-            #self.log.debug('Scanning file '+ file + '...')
-            title=file.split(path)
-            title2=title[1].split('_')
+            # self.log.debug('Scanning file '+ file + '...')
+            title = file.split(path)
+            title2 = title[1].split("_")
 
             try:
-                num=title2[1].split('.txt')
-                t.append(float(num[0])*1e-9)
+                num = title2[1].split(".txt")
+                t.append(float(num[0]) * 1e-9)
             except Exception:
-                print('[!] timestep not found, using step number instead')
+                print("[!] timestep not found, using step number instead")
                 t.append(nsteps)
 
             with open(file) as f:
                 for line in f:
-                    rows+=1
+                    rows += 1
                     columns = line.split()
 
-                    if rows>=0 and len(columns)>1:
-                        k=int(rows/n_transverse_cells**2)
-                        j=int(rows/n_transverse_cells-n_transverse_cells*k)
-                        i=int(rows-j*n_transverse_cells-k*n_transverse_cells**2)
+                    if rows >= 0 and len(columns) > 1:
+                        k = int(rows / n_transverse_cells**2)
+                        j = int(rows / n_transverse_cells - n_transverse_cells * k)
+                        i = int(
+                            rows - j * n_transverse_cells - k * n_transverse_cells**2
+                        )
 
-                        if k>= n_longitudinal_cells:
-                            k = int(n_longitudinal_cells-1)
+                        if k >= n_longitudinal_cells:
+                            k = int(n_longitudinal_cells - 1)
 
-                        Ez[i,j,k]=float(columns[5])
+                        Ez[i, j, k] = float(columns[5])
 
-                        x[i]=float(columns[0])*units
-                        y[j]=float(columns[1])*units
-                        z[k]=float(columns[2])*units
+                        x[i] = float(columns[0]) * units
+                        y[j] = float(columns[1]) * units
+                        z[k] = float(columns[2]) * units
 
             if nsteps == 0:
-                prefix='0'*5
-                hf.create_dataset('Ez_'+prefix+str(nsteps), data=Ez)
+                prefix = "0" * 5
+                hf.create_dataset("Ez_" + prefix + str(nsteps), data=Ez)
             else:
-                prefix='0'*(5-int(np.log10(nsteps)))
-                hf.create_dataset('Ez_'+prefix+str(nsteps), data=Ez)
+                prefix = "0" * (5 - int(np.log10(nsteps)))
+                hf.create_dataset("Ez_" + prefix + str(nsteps), data=Ez)
 
             i, j, k = 0, 0, 0
-            rows=skip
-            nsteps+=1
+            rows = skip
+            nsteps += 1
 
-            #close file
+            # close file
             f.close()
 
-        hf['x'] = x
-        hf['y'] = y
-        hf['z'] = z
-        hf['t'] = t
+        hf["x"] = x
+        hf["y"] = y
+        hf["z"] = z
+        hf["t"] = t
 
         hf.close()
 
-        #set field info
-        self.log('Ez field is stored in a matrix with shape '+str(Ez.shape)+' in '+str(int(nsteps))+' datasets')
-        self.log(f'Finished scanning files - hdf5 file {filename} succesfully generated')
-
-        #Update self
+        # set field info
+        self.log(
+            "Ez field is stored in a matrix with shape "
+            + str(Ez.shape)
+            + " in "
+            + str(int(nsteps))
+            + " datasets"
+        )
+        self.log(
+            f"Finished scanning files - hdf5 file {filename} succesfully generated"
+        )
+
+        # Update self
         self.xf = x
         self.yf = y
         self.zf = z
@@ -1290,14 +1450,14 @@ def assign_logs(self):
         """
         Assigns the parameters of the wake to the logger
         """
-        self.logger.wakeSolver["ti"]=self.ti
-        self.logger.wakeSolver["q"]=self.q
-        self.logger.wakeSolver["sigmaz"]=self.sigmaz
-        self.logger.wakeSolver["beta"]=self.beta
-        self.logger.wakeSolver["xsource"]=self.xsource
-        self.logger.wakeSolver["ysource"]=self.ysource
-        self.logger.wakeSolver["xtest"]=self.xtest
-        self.logger.wakeSolver["ytest"]=self.ytest
-        self.logger.wakeSolver["chargedist"]=self.chargedist
-        self.logger.wakeSolver["skip_cells"]=self.skip_cells
-        self.logger.wakeSolver["results_folder"]=self.folder
+        self.logger.wakeSolver["ti"] = self.ti
+        self.logger.wakeSolver["q"] = self.q
+        self.logger.wakeSolver["sigmaz"] = self.sigmaz
+        self.logger.wakeSolver["beta"] = self.beta
+        self.logger.wakeSolver["xsource"] = self.xsource
+        self.logger.wakeSolver["ysource"] = self.ysource
+        self.logger.wakeSolver["xtest"] = self.xtest
+        self.logger.wakeSolver["ytest"] = self.ytest
+        self.logger.wakeSolver["chargedist"] = self.chargedist
+        self.logger.wakeSolver["skip_cells"] = self.skip_cells
+        self.logger.wakeSolver["results_folder"] = self.folder