6.4

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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:

\[J_0(x)=\sum_{l=0}^{\infty}\frac{(-1)^l}{2^{2l}(l!)^2}x^{2l}.\]
A plot of Bessel function.

Properties (fitting parameters)

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

Source

Python: Bessel.py