Transient attenuation of separate loop coupler with cascade connection
======================================================================

The multistage connection of the couplers allows you to expand the working band and
realize less transient attenuation. Transient attenuation is a part of the power passing
into the auxiliary channel of the coupler.

..
    TODO: find link

.. py:currentmodule:: symplyphysics.laws.electricity.circuits.couplers.transient_attenuation_of_separate_loop_coupler_with_cascade_connection

.. py:data:: coupler_attenuation

    Transient :attr:`~symplyphysics.symbols.electrodynamics.attenuation` of one coupler from the cascade, measured in decibels.

Symbol:
    :code:`A_0`

Latex:
    :math:`A_{0}`

Dimension:
    :code:`dimensionless`


.. py:data:: cascade_attenuation

    Transient :attr:`~symplyphysics.symbols.electrodynamics.attenuation` of the cascade, measured in decibels.

Symbol:
    :code:`A`

Latex:
    :math:`A`

Dimension:
    :code:`dimensionless`


.. py:data:: coupler_count

    Number of couplers in the cascade. See :attr:`~symplyphysics.symbols.basic.positive_number`.

Symbol:
    :code:`N`

Latex:
    :math:`N`

Dimension:
    :code:`dimensionless`


.. py:data:: law

    :code:`A_0 = 20 * log(sin(N * asin(10^(A / 20))), 10)`


    Latex:
        .. math::
            A_{0} = 20 \log_{10} \left( \sin{\left(N \operatorname{asin}{\left(10^{\frac{A}{20}} \right)} \right)} \right)