Reflection coefficient from ratio of average power to incident power
====================================================================

Knowing the average power delivered to the load and the incident power, it is possible
to calculate the absolute value of the reflection coefficient.

**Links:**

#. `Engineering LibreTexts, formula 3.20.4 <https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_I_(Ellingson)/03%3A_Transmission_Lines/3.20%3A_Power_Flow_on_Transmission_Lines>`__.

.. py:currentmodule:: symplyphysics.laws.electricity.circuits.transmission_lines.ratio_of_average_power_to_incident_power_from_reflection_coefficient

.. py:data:: reflection_coefficient

    Complex-valued :attr:`~symplyphysics.symbols.electrodynamics.reflection_coefficient`.

Symbol:
    :code:`Gamma`

Latex:
    :math:`\Gamma`

Dimension:
    :code:`dimensionless`


.. py:data:: incident_power

    Incident :attr:`~symplyphysics.symbols.basic.power`.

Symbol:
    :code:`P_incident`

Latex:
    :math:`P_\text{incident}`

Dimension:
    :code:`power`


.. py:data:: average_power

    Average :attr:`~symplyphysics.symbols.basic.power` delivered to the load.

Symbol:
    :code:`avg(P)`

Latex:
    :math:`\langle P \rangle`

Dimension:
    :code:`power`


.. py:data:: law

    :code:`avg(P) / P_incident = 1 - Abs(Gamma)^2`


    Latex:
        .. math::
            \frac{\langle P \rangle}{P_\text{incident}} = 1 - \left|{\Gamma}\right|^{2}