6.3

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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)

../../_images/CompositePCRmagnet-1.png

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

Source

Python: CompositePCRmagnet.py