.. index:: GaussBessel
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::
[1] F.L. Pratt, Physica B 289-290, 710 (2000).
.. categories::
.. sourcelink::