\(\renewcommand\AA{\unicode{x212B}}\)

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)

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)

References

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

Categories: FitFunctions | Muon\MuonSpecific

Source

Python: GaussBessel.py