The use of maximum entropy and Bayesian techniques in nuclear microprobe applications
VM Prozesky, J Padayachee, R Fischer, W VonderLinden, V Dose, CG Ryan
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS | ELSEVIER SCIENCE BV | Published : 1997
This paper presents an overview of the Bayesian Formalism (BF) and Maximum Entropy (ME), as well as applications of the theory to various ion-beam and nuclear microprobe (NMP) related work. The Bayesian formalism is an efficient and theoretically sound technique of information recovery, with special applications in ill-posed inverse problems, such as detector function deconvolution. Results are presented showing the promise of Bayesian Statistics and Maximum Entropy in PIXE spectrum deconvolution, deconvolution of the beam profile from one-dimensional scans and the recovery of depth profiles in RBS. © 1997 Elsevier Science B.V.