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# StandardSC¶

## Description¶

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

where,

\(A_\text{bg}\) is the amplitude of the background field oscillation,

\(A_0\) is the amplitude of the decaying oscillation due to internal field,

\(\omega_\text{SC}\) (rad/s) is the angular frequency of internal field,

\(\omega_\text{BG}\) (rad/s) is the angular frequency of background field,

\(\sigma\) is the depolarization rate,

and \(\phi\) is the phase.

The relationship between \(\omega\) and magnetic field B is given by:

where,

\(\gamma_\mu\) is the gyromagnetic ratio of muon.

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

## 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