.. admonition:: Work in Progress
   :class: warning

   This document is still under development and may change frequently.

==============================
Time-Harmonic Maxwell Material
==============================

.. toctree::
   :maxdepth: 0
   :caption: Time-Domain Magnetic Material
   :hidden:

   time_harmonic_maxwell_material_constant


.. contents::
   :depth: 2
   :local:


Introduction
------------
A material in the time-harmonic Maxwell model is characterized by its magnetic permeability :math:`\mu`, electric permittivity :math:`\varepsilon`, and electric conductivity :math:`\sigma`. A general material can be introduced using specific material property methods as follows:

.. testsetup::
   import mufem
   from mufem import Vol

   from mufem.electromagnetics.timeharmonicmaxwell import (
      TimeHarmonicMaxwellGeneralMaterial,
      ComplexMagneticPermeabilityMethodLinearIsotropic,
      ComplexElectricPermittivityMethodLinearIsotropic,
      ComplexElectricConductivityMethodLinearIsotropic,
   )

   sim = mufem.Simulation.New("My Case", "data/geometry.mesh")

   my_material_marker = "MyVolume" @ Vol

   # specify here the material properties methods for each material property
   my_permeability_method = ComplexMagneticPermeabilityMethodLinearIsotropic(1.0)
   my_permittivity_method = ComplexElectricPermittivityMethodLinearIsotropic(4.0)
   my_conductivity_method = ElectricConductivityMethodLinearIsotropic(0.0)

.. testcode::

   my_material = TimeHarmonicMaxwellGeneralMaterial(
      name = "My Material",
      marker = my_material_marker,
      permeability_method = my_permeability_method,
      permittivity_method = my_permittivity_method,
      conductivity_method = my_conductivity_method,
   )


Material Properties
-------------------

Magnetic Permeability
~~~~~~~~~~~~~~~~~~~~~

Electric Permittivity
~~~~~~~~~~~~~~~~~~~~~

Electric Conductivity
~~~~~~~~~~~~~~~~~~~~~


Examples
--------