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

Tomas Johansson; Brian D. Sleeman

doi:10.1093/imamat/hxl026

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 journal › Article › peer-review

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 language	English
Pages (from-to)	96-112
Number of pages	17
Journal	IMA Journal of Applied Mathematics
Volume	72
Issue number	1
Early online date	26 Nov 2006
DOIs	https://doi.org/10.1093/imamat/hxl026
Publication status	Published - 15 Feb 2007

Keywords

far-field pattern
inverse scattering
sound soft.

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10.1093/imamat/hxl026

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

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