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.

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

../../_images/MuH-1.png

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)

Source

Python: MuH.py (last modified: 2019-11-14)