Boundary integral equations for acoustical inverse sound-soft scattering

O. Ivanyshyn; B.T. Johansson

doi:10.1515/jiip.2008.005

Boundary integral equations for acoustical inverse sound-soft scattering

O. Ivanyshyn, B.T. Johansson

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	65–78
Number of pages	14
Journal	Journal of Inverse and Ill-Posed Problems
Volume	16
Issue number	1
Early online date	5 Mar 2008
DOIs	https://doi.org/10.1515/jiip.2008.005
Publication status	Published - Mar 2008

Keywords

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

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10.1515/jiip.2008.005

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Boundary integral equations for acoustical inverse sound-soft scattering

Abstract

Keywords

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