Position of antinodes in standing wave
======================================

In a standing wave, the locations of maximum amplitude are called antinodes. These locations are
not arbitrary, however, and are integer multiples of half the wavelength shifted by a quarter
of the wavelength.

**Notes:**

#. *Amplitude* refers to the absolute value of displacement from rest, therefore positions of
   maximum amplitude are such positions where the displacement is maximum or minimum.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Standing_wave#Standing_wave_on_an_infinite_length_string>`__.

.. py:currentmodule:: symplyphysics.laws.waves.position_of_antinodes_in_standing_wave

.. py:data:: antinode_position

    :attr:`~symplyphysics.symbols.classical_mechanics.position` of :math:`m`-th antinode.

Symbol:
    :code:`x`

Latex:
    :math:`x`

Dimension:
    :code:`length`


.. py:data:: integer_factor

    An integer. See :attr:`~symplyphysics.symbols.basic.whole_number`.

Symbol:
    :code:`N`

Latex:
    :math:`N`

Dimension:
    :code:`dimensionless`


.. py:data:: wavelength

    :attr:`~symplyphysics.symbols.classical_mechanics.wavelength` of the standing wave.

Symbol:
    :code:`lambda`

Latex:
    :math:`\lambda`

Dimension:
    :code:`length`


.. py:data:: law

    :code:`x = (N + 1 / 2) * lambda / 2`


    Latex:
        .. math::
            x = \frac{\left(N + \frac{1}{2}\right) \lambda}{2}