Gaussians Versus Back-to-Back Exponentials: A Numerical Study

The underlying magnetic field distribution in many samples studied by the μSR technique is asymmetric. Despite this, quite often fit functions assuming symmetric (Gaussian) distributions are used. Here, a back-to-back exponential function, which can be made asymmetric with fit parameters, is studied...

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Bibliographic Details
Published in:Physics procedia 2012, Vol.30, p.26-29
Main Authors: Humpherys, M.G., Donnelly, C., Greer, A.J., Kossler, W.J.
Format: Article
Language:English
Subjects:
field distributions
moments
muSR
numerical simulation PACS: 75.40.Mg
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Summary:The underlying magnetic field distribution in many samples studied by the μSR technique is asymmetric. Despite this, quite often fit functions assuming symmetric (Gaussian) distributions are used. Here, a back-to-back exponential function, which can be made asymmetric with fit parameters, is studied numerically alongside a Gaussian function to see how well each fits symmetric and asymmetric simulated data. Both fit symmetric data well, but the back-to-back exponential is found to be superior for fitting asymmetric data.
ISSN:1875-3892
1875-3892
DOI:10.1016/j.phpro.2012.04.032