Reconstruction of an acoustically sound-soft obstacle from one incident field and the far field pattern

Tomas Johansson, Brian D. Sleeman

Research output: Contribution to journalArticle

Abstract

The problem considered is that of determining the shape of a plane acoustically sound-soft obstacle from the knowledge of the far-field pattern for one time-harmonic incident field. An iterative procedure is proposed based on two boundary integrals representing the incident field and the far-field pattern, respectively. Numerical examples are included which show that the procedure gives accurate numerical approximations in relatively few iterations.
Original languageEnglish
Pages (from-to)96-112
Number of pages17
JournalIMA Journal of Applied Mathematics
Volume72
Issue number1
Early online date26 Nov 2006
DOIs
Publication statusPublished - 15 Feb 2007

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Far-field Pattern
Acoustic waves
Boundary Integral
Iterative Procedure
Numerical Approximation
Harmonic
Iteration
Numerical Examples
Sound
Knowledge

Keywords

  • far-field pattern
  • inverse scattering
  • sound soft.

Cite this

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Reconstruction of an acoustically sound-soft obstacle from one incident field and the far field pattern. / Johansson, Tomas; Sleeman, Brian D.

In: IMA Journal of Applied Mathematics, Vol. 72, No. 1, 15.02.2007, p. 96-112.

Research output: Contribution to journalArticle

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