Wave impedance in rectangular waveguide for transverse electric waves
=====================================================================

A rectangular waveguide is a rectangular metal waveguide capable of supporting waves
propagating along it. The impedance of the wave traveling in the guide is a function of
the 

**Conditions:**

#. Waves propagating in the waveguide must be transverse electric waves.

**Links:**

#. `Wikipedia, first link <https://en.wikipedia.org/wiki/Wave_impedance#In_a_waveguide>`__.

.. py:currentmodule:: symplyphysics.laws.electricity.circuits.waveguides.characteristic_resistance_of_rectangular_waveguide_for_transverse_electric_waves

.. py:data:: wave_impedance

    :attr:`~symplyphysics.symbols.electrodynamics.wave_impedance` in the waveguide.

Symbol:
    :code:`eta`

Latex:
    :math:`\eta`

Dimension:
    :code:`impedance`


.. py:data:: medium_impedance

    :attr:`~symplyphysics.symbols.electrodynamics.wave_impedance` of the medium filling the waveguide.

Symbol:
    :code:`eta_0`

Latex:
    :math:`\eta_{0}`

Dimension:
    :code:`impedance`


.. py:data:: vacuum_wavelength

    :attr:`~symplyphysics.symbols.classical_mechanics.wavelength` of the signal in vacuum.

Symbol:
    :code:`lambda`

Latex:
    :math:`\lambda`

Dimension:
    :code:`length`


.. py:data:: critical_wavelength

    Critical :attr:`~symplyphysics.symbols.classical_mechanics.wavelength`. See :ref:`Critical wavelength of waveguide <critical_wavelength_waveguide_def>`.

Symbol:
    :code:`lambda_c`

Latex:
    :math:`\lambda_\text{c}`

Dimension:
    :code:`length`


.. py:data:: law

    :code:`eta = eta_0 / sqrt(1 - (lambda / lambda_c)^2)`


    Latex:
        .. math::
            \eta = \frac{\eta_{0}}{\sqrt{1 - \left(\frac{\lambda}{\lambda_\text{c}}\right)^{2}}}