A point source method for inverse acoustic and electromagnetic obstacle scattering problems

Authors
Potthast, R
Citation
R. Potthast, A point source method for inverse acoustic and electromagnetic obstacle scattering problems, IMA J APP M, 61(2), 1998, pp. 119-140
Citations number
8
Categorie Soggetti
Mathematics
Journal title
IMA JOURNAL OF APPLIED MATHEMATICS
ISSN journal
02724960 → ACNP
Volume
61
Issue
2
Year of publication
1998
Pages
119 - 140
Database
ISI
SICI code
0272-4960(199810)61:2<119:APSMFI>2.0.ZU;2-X
Abstract
We present the mathematical foundation for a point source method to solve s ome inverse acoustic and electromagnetic obstacle scattering problems in th ree dimensions. We investigate the inverse acoustic scattering problem by a sound-soft and a sound-hard scatterer and the inverse electromagnetic scat tering problem by a perfect conductor. Two independent approaches to the me thod are presented which reflect its strong relation to basic properties of obstacle scattering problems.