StandardSC

Description

Sinusoidal function damped with Gaussian relaxation and a non-decaying oscillation:

A(t)=A0eσ2t22cos(ωSCt+ϕ)+Abgcos(ωBGt+ϕ)

where,

Abg is the amplitude of the background field oscillation,

A0 is the amplitude of the decaying oscillation due to internal field,

ωSC (rad/s) is the angular frequency of internal field,

ωBG (rad/s) is the angular frequency of background field,

σ is the depolarization rate,

and ϕ is the phase.

The relationship between ω and magnetic field B is given by:

ω=2πν=γμB

where,

γμ is the gyromagnetic ratio of muon.

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

../../_images/StandardSC-1.png

Properties (fitting parameters)

Name

Default

Description

A0

0.16

Amplitude of interal field oscillation

Sigma

0.2

Gaussian decay rate

FieldSC

300.0

Internal Field (G)

FieldBG

300.0

External Field (G)

Phi

0.0

Phase

Abg

0.1

Amplitude of external field oscillation

References

[1] J.A.T. Barker et al., Phys. Rev. Lett. 115 267001 (2015).

Categories: FitFunctions | Muon\MuonGeneric

Source

Python: StandardSC.py