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DampedBessel

Description

A bessel function with damped oscillation that could apply to incommensurate magnetic structures or spin density waves.

\[A(t)= A_0e^{-\lambda_\text{L}t}\left( (1-f_L)e^{-\lambda_\text{T}t}J_0(\omega_\mu t + \phi) + f_L\right)\]

where,

\(A_0\) is the amplitude of asymmetry,

\(J_0(x)\) is the Bessel function of the first kind,

\(\lambda_\text{T}\) is the damping of the oscillation,

\(\lambda_\text{L}\) is the dynamic longitudinal spin relaxation rate,

\(B\) (G) is the B-field,

and \(\phi\) is the phase.

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

Properties (fitting parameters)

Name	Default	Description
A0	0.2	Asymmetry
Phi	0.0	Phase (rad)
Field	10.0	B Field (G)
LambdaL	0.1	Dynamic longitudinal spin relaxation rate
LambdaT	0.1	Damping of the oscillation
FractionL	0.1	Fraction of longitudinal signal component

References

[1] D.E. MacLaughlin, PRB 89 144419 (2014).

Categories: FitFunctions | Muon\MuonSpecific

Source

Python: DampedBessel.py