Direct and inverse acoustic scattering by a mixed-type scatterer

The scattering of time-harmonic acoustic plane waves by a mixed-type scatterer is considered. Such a scatterer is given as the union of a bounded impenetrable obstacle and a penetrable inhomogeneous medium with compact support. Having established the well-posedness of the direct problem by a variati...

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Bibliographic Details
Published inInverse problems Vol. 29; no. 6; pp. 65005 - 19
Main Authors Kirsch, Andreas, Liu, Xiaodong
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.06.2013
Subjects
acoustic scattering
Byproducts
Factorization
factorization method
Feasibility
impenetrable obstacle
inhomogeneous medium
Inverse
Mathematical models
Plane waves
Unions
Uniqueness
Variational methods
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Summary:The scattering of time-harmonic acoustic plane waves by a mixed-type scatterer is considered. Such a scatterer is given as the union of a bounded impenetrable obstacle and a penetrable inhomogeneous medium with compact support. Having established the well-posedness of the direct problem by a variational method, we study the factorization method for recovering the location and shape of the mixed-type scatterer. Some numerical experiments are presented to demonstrate its feasibility and effectiveness. One by-product of the factorization method is that it provides an explicit proof of uniqueness of the inverse scattering problem under certain assumptions.
Bibliography:ObjectType-Article-1
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ISSN:0266-5611
1361-6420
DOI:10.1088/0266-5611/29/6/065005