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MuH¶
Description¶
Fitting function for use by Muon scientists defined by:
\[A(t)=\frac{A_0(t)}{6}e^{-\lambda t}e^{-\frac{(\sigma t)^2}{2}}\left(1+\cos(\omega_{D}t + \phi)+2\cos\left(\frac{\omega_D}{2}t+\phi\right)+2\cos\left(\frac{3\omega_D}{2}t+\phi\right)\right)\]
\(A_0\) is the amplitude,
\(\lambda\) is the exponential decay rate,
\(\sigma\) is the gaussian decay rate,
\(\omega_D = 2 \pi \nu_D\) where \(\nu_D\) (MHz) is the oscillating frequency,
and \(\phi\) (rad) is the phase at time \(t=0\).
Properties (fitting parameters)¶
Name |
Default |
Description |
---|---|---|
A0 |
0.5 |
Amplitude |
NuD |
0.5 |
Oscillating Frequency (MHz) |
Lambda |
0.3 |
Exponential decay rate |
Sigma |
0.05 |
Gaussian decay rate |
Phi |
0.0 |
Phase (rad) |
References¶
[1] T. Lancaster et al., J. Phys.: Condens. Matter 21 346004 (2009).
Categories: FitFunctions | Muon\MuonSpecific
Source¶
Python: MuH.py