Bayesian techniques and the principle of maximum entropy in ion-beam analysis applications

V. M. Prozesky, J. Padayachee, R. Fischer, W. von der Linden, V. Dose, R. A. Weller

Research output: Contribution to journalArticle

Abstract

The Bayesian Formalism (BF) and the principle of Maximum Entropy (MaxEnt) are applied to techniques relevant to Ion-Beam Analysis (IBA). The BF is an efficient and theoretically sound method of information recovery, and when applied together with an entropic prior it has special applications in solving ill-posed inverse problems, e.g. the deconvolution of the detector response function from PIXE or RBS spectra. Results include the recovery of depth profiles in PIXE using a two-detector set-up. The deconvolution of RBS spectra using the BF is also compared to more conventional deconvolution techniques, namely Fourier Transforms and the non-linear Jansson method.
Original languageEnglish
Pages (from-to)1146-1151
Number of pages6
JournalNuclear instruments & methods in physics research / B
Volume136–138
DOIs
Publication statusPublished - 1 Mar 1998

Keywords

  • Bayesian, Ion-beam analysis, Maximum entropy

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