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.

(Source code, png, hires.png, pdf)

../../_images/GaussBessel-1.png

Properties (fitting parameters)

Name Default Description
A0 0.2 Amplitude
Freq 0.5 ZF Frequency (MHz)
Sigma 0.2 Gaussian relaxation for oscillatory component
Phi 0.0 Phase (rad)

Source

Python: GaussBessel.py (last modified: 2019-11-14)