Source splitting via the point source method

We introduce a new algorithm for source identification and field splitting based on the point source method (Potthast 1998 A point-source method for inverse acoustic and electromagnetic obstacle scattering problems IMA J. Appl. Math. 61 119--40, Potthast R 1996 A fast new method to solve inverse sca...

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Bibliographic Details
Published inInverse problems Vol. 26; no. 4; p. 045002
Main Authors Potthast, Roland, Fazi, Filippo M, Nelson, Philip A
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.04.2010
Institute of Physics
Subjects
Algorithms
Exact sciences and technology
Inverse
Inverse problems
Mathematical analysis
Physics
Point sources
Sound sources
Splitting
Tasks
Point sources
Inverse scattering problem
Algorithms
Inverse problems
Solvability
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Summary:We introduce a new algorithm for source identification and field splitting based on the point source method (Potthast 1998 A point-source method for inverse acoustic and electromagnetic obstacle scattering problems IMA J. Appl. Math. 61 119--40, Potthast R 1996 A fast new method to solve inverse scattering problems Inverse Problems 12 731--42). The task is to separate the sound fields uj, j = 1, ..., n of sound sources supported in different bounded domains G1, ..., Gn in from measurements of the field on some microphone array--mathematically speaking from the knowledge of the sum of the fields u = u1 + + un on some open subset Delta *L of a plane. The main idea of the scheme is to calculate filter functions , to construct u for = 1, ..., n from u
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0266-5611
1361-6420
DOI:10.1088/0266-5611/26/4/045002