On point sources and near field measurements in inverse acoustic obstacle scattering
1University of Oulu, Faculty of Science, Department of Mathematical Sciences
|Online Access:||PDF Full Text (PDF, 1.7 MB)|
|Persistent link:|| http://urn.fi/urn:isbn:9514268725
|Publish Date:|| 2002-11-16
|Thesis type:||Doctoral Dissertation
|Defence Note:||Academic Dissertation to be presented with the assent of the Faculty of Science, University of Oulu, for public discussion in Raahensali (Auditorium L10), Linnanmaa, on November 16th, 2002, at 12 noon.
Professor Jari Kaipio
Professor Erkki Somersalo
The dissertation considers an inverse acoustic obstacle scattering problem in which the incident field is generated by a point source and the measurements are made in the near field region.
Three methods to solve the problem of reconstructing the support of an unknown sound-soft or sound-hard scatterer from the near field measurements are presented. Methods are modifications of Kirsch factorization and modified Kirsch factorization methods. Numerical examples are given to show the practicality of one of the methods.
Acta Universitatis Ouluensis. A, Scientiae rerum naturalium
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