DampedBessel

Description

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

A(t)=A0eλLt((1fL)eλTtJ0(ωμt+ϕ)+fL)

where,

A0 is the amplitude of asymmetry,

J0(x) is the Bessel function of the first kind,

λT is the damping of the oscillation,

λL is the dynamic longitudinal spin relaxation rate,

B (G) is the B-field,

and ϕ is the phase.

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

../../_images/DampedBessel-1.png

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