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

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.

Enable :plots: using DOCS_PLOTDIRECTIVE in CMake

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