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 journalArticleResearchpeer-review

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

Fingerprint

Deconvolution
Ion beams
Entropy
ion beams
entropy
formalism
recovery
Detectors
Recovery
detectors
Inverse problems
Fourier transforms
Acoustic waves
acoustics
profiles

Keywords

  • Bayesian, Ion-beam analysis, Maximum entropy

Cite this

Bayesian techniques and the principle of maximum entropy in ion-beam analysis applications. / Prozesky, V. M.; Padayachee, J.; Fischer, R.; von der Linden, W.; Dose, V.; Weller, R. A.

In: Nuclear instruments & methods in physics research / B, Vol. 136–138, 01.03.1998, p. 1146-1151.

Research output: Contribution to journalArticleResearchpeer-review

Prozesky, V. M. ; Padayachee, J. ; Fischer, R. ; von der Linden, W. ; Dose, V. ; Weller, R. A. / Bayesian techniques and the principle of maximum entropy in ion-beam analysis applications. In: Nuclear instruments & methods in physics research / B. 1998 ; Vol. 136–138. pp. 1146-1151.
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AU - Weller, R. A.

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