.. _func-Bessel:

======
Bessel
======

.. index:: Bessel

Description
-----------

.. math:: A(t)=A_0J_0(2\pi\nu t+\phi)

where,

:math:`A_0` is the amplitude,

:math:`\nu` is the frequency of oscillation (MHz),

:math:`\phi` is the phase at :math:`t=0`,

and :math:`J_0(x)` is the Bessel Function of the first kind, its expression is given by:

.. math:: J_0(x)=\sum_{l=0}^{\infty}\frac{(-1)^l}{2^{2l}(l!)^2}x^{2l}.

.. figure:: /images/Bessel.png
   :alt: A plot of Bessel function.

.. attributes::

.. properties::

References
----------

[1]  `Savici et al., PRB 66 (2002) <https://journals.aps.org/prb/pdf/10.1103/PhysRevB.66.014524>`_.

.. categories::

.. sourcelink::