$$

Bessel

Description

$$A(t)=A_0{J}_0(2\pi \nu t+\varphi )$$

where,

$A_0$ is the amplitude,

$\nu$ is the frequency of oscillation (MHz),

$\varphi$ is the phase at $t=0$,

and $J_0(x)$ is the Bessel Function of the first kind, its expression is given by:

$$J_0(x)=\sum _{l=0}^{\mathrm{\infty }}\frac{(-1{)}^l}{2^{2l}(l!{)}^2}{x}^{2l}.$$

Properties (fitting parameters)

Name	Default	Description
A0	1.0	Amplitude
Phi	0.1	Phase(rad)
Nu	0.1	Frequency(MHz)

References

[1] Savici et al., PRB 66 (2002).

Categories: FitFunctions | Muon\MuonSpecific

Source

Python: Bessel.py