NONLINEAR INTEGRAL EQUATIONS IN INVERSE OBSTACLE SCATTERING

We present a novel solution method for inverse obstacle scattering problems for time-harmonic waves based on a pair of nonlinear and ill-posed integral equations for the unknown boundary that arises from the reciprocity gap principle. This integral equations can be solved by linearization, i.e., by...

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Bibliographic Details
Published inMathematical Methods In Scattering Theory And Biomedical Engineering pp. 39 - 50
Main Authors IVANYSHYN, O., KRESS, R.
Format Book Chapter
LanguageEnglish
Published WORLD SCIENTIFIC 01.08.2006
Subjects
Scattering Theory
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ISBN9812568603
9812773193
9789812773197
9789814477598
9814477591
9789812568601
DOI10.1142/9789812773197_0005

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Summary:We present a novel solution method for inverse obstacle scattering problems for time-harmonic waves based on a pair of nonlinear and ill-posed integral equations for the unknown boundary that arises from the reciprocity gap principle. This integral equations can be solved by linearization, i.e., by regularized Newton iterations. We present a mathematical foundation of the method and illustrate its feasibility by numerical examples.
ISBN:9812568603
9812773193
9789812773197
9789814477598
9814477591
9789812568601
DOI:10.1142/9789812773197_0005