GaussBessel.rst

GaussBessel

.. index:: GaussBessel

Description

Bessel function oscillation with Gaussian damp \frac{1}{3} component. Example: Spin Density Wave.

A(t) = A_0\left(\frac{1}{3}+\frac{2}{3}J_0(\omega t + \phi)e^{-\frac{(\sigma t)^2}{2}}\right)

where,

N_O is the count at t=0 ,

\sigma (MHz) is the Gaussian relaxation rate,

\omega = 2\pi \nu is the oscillating frequency,

\nu (MHz) is the oscillation frequency,

and \phi is the phase.

.. plot::

   from mantid.simpleapi import FunctionWrapper
   import matplotlib.pyplot as plt
   import numpy as np
   x = np.arange(0.1,16,0.1)
   y = FunctionWrapper("GaussBessel")
   fig, ax=plt.subplots()
   ax.plot(x, y(x))
   ax.set_xlabel('t($\mu$s)')
   ax.set_ylabel('A(t)')

.. attributes::

.. properties::

References

[1] F.L. Pratt, Physica B 289-290, 710 (2000).

.. categories::

.. sourcelink::