StaticLorentzianKT

Description

Static Lorentzian Kubo-Toyabe function:

gzL(t,BL)=A0{1aωLj1(ωLt)eat(aωL)2(jo(ωLt)eat1)(1+(aωL)2)a0tj0(ωLτ)eaτdτ}

where,

L refers to Lorentzian,

BL refers to the longitudinal field applied to the z-axis,

ji are the spheical Bessel functions of the First Kind,

ωL is is the precessing angular frequency and its relationship is given by BL=ωL/γμ,

γμ is the gyromagnetic ratio of muons,

and a(μs1) is the half-width at half maximum of the Lorentzian distribution.

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

../../_images/StaticLorentzianKT-1.png

Properties (fitting parameters)

Name

Default

Description

A0

0.2

A

0.1

Half-width of half maximum of Lorentzian distribution (microsecs)

Field

0.1

Longitudinal B-field (G)

References

[1] Y. Uemura et al., Phys. Rev. B 31 546 (1985).

Categories: FitFunctions | Muon\MuonGeneric

Source

Python: StaticLorentzianKT.py