The factorization method for inverse scattering by a two-layered cavity with conductive boundary condition

Abstract In this paper we consider the inverse scattering problem of determining the shape of a two-layered cavity with conductive boundary condition from sources and measurements placed on a curve inside the cavity. First, we show the well-posedness of the direct scattering problem by using the bou...

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Bibliographic Details
Published inIMA journal of applied mathematics Vol. 87; no. 2; pp. 260 - 290
Main Authors Ye, Jianguo, Yan, Guozheng
Format Journal Article
LanguageEnglish
Published Oxford University Press 12.04.2022
Subjects
inverse scattering
factorization method
two-layered cavity
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Summary:Abstract In this paper we consider the inverse scattering problem of determining the shape of a two-layered cavity with conductive boundary condition from sources and measurements placed on a curve inside the cavity. First, we show the well-posedness of the direct scattering problem by using the boundary integral equation method. Then, we prove that the factorization method can be applied to reconstruct the interface of the two-layered cavity from near-field data. Some numerical experiments are also presented to demonstrate the feasibility and effectiveness of the factorization method.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/hxac005