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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 \(t=0\).

../../_images/ImageNotFound.png

Enable :plots: using DOCS_PLOTDIRECTIVE in CMake

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