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Bessel¶
Description¶
\[A(t)=A_0J_0(2\pi\nu t+\phi)\]
where,
\(A_0\) is the amplitude,
\(\nu\) is the frequency of oscillation (MHz),
\(\phi\) is the phase at \(t=0\),
and \(J_0(x)\) is the Bessel Function of the first kind, its expression is given by:
\[J_0(x)=\sum_{l=0}^{\infty}\frac{(-1)^l}{2^{2l}(l!)^2}x^{2l}.\]
 
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