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CompositePCRmagnet

Description

ZF KuboToyabe when B = 0. A damped cosine precession when \(B_int>0\) .

When B = 0,

\[A(t)= A_0\left(\frac{1}{3}+\frac{2}{3}\cos(g_\mu B_0t)e^{-\sigma^2 t^2+\frac{2}{5}\Delta^2 t^2}\right) .\]

When \(B > 0\) ,

\[A(t) = A_0\left(\frac13+\frac23(1-(\Delta t)^2)e^{-(\Delta t)^2/2}\right)\]

where,

\(A_0\) is the amplitude,

\(\sigma\) (MHz) is the gaussian relaxation rate,

\(B_0\) (G) is the gaussian relaxation rate,

and \(\Delta\) is the relaxation rate of the extra term when \(B>0\) .

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

Properties (fitting parameters)

Name	Default	Description
A0	0.2	Amplitude
KTdelta	0.1	KT Relaxation rate
B0	10.0	Local Magnetic Field (G)
Gauss	0.2	Gaussian relaxation rate

References

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

Categories: FitFunctions | Muon\MuonSpecific

Source

Python: CompositePCRmagnet.py