Boundary integral equations for acoustical inverse sound-soft scattering

O. Ivanyshyn, B.T. Johansson

Research output: Contribution to journalArticle

Abstract

The shape of a plane acoustical sound-soft obstacle is detected from knowledge of the far field pattern for one time-harmonic incident field. Two methods based on solving a system of integral equations for the incoming wave and the far field pattern are investigated. Properties of the integral operators required in order to apply regularization, i.e. injectivity and denseness of the range, are proved.
Original languageEnglish
Pages (from-to)65–78
Number of pages14
JournalJournal of Inverse and Ill-Posed Problems
Volume16
Issue number1
Early online date5 Mar 2008
DOIs
Publication statusPublished - Mar 2008

Keywords

  • far field pattern
  • ill-posed
  • Newton method
  • sound-soft
  • inverse scattering

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