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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.

Properties (fitting parameters)¶

Name

Default

Description

A0

0.2

Asymmetry

Phi

0.0

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¶

Categories: FitFunctions | Muon\MuonSpecific

Source¶

Python: DampedBessel.py