Modified linear sampling method for inverse scattering by a partially coated dielectric

Author:

Xiang Jianli1,Yan Guozheng2ORCID

Affiliation:

1. Three Gorges Mathematical Research Center , College of Science , [ 26476]China Three Gorges University, Yichang 443002 , P. R. China

2. School of Mathematics and Statistics , [ 12446]Central China Normal University, 430079; and Hubei Key Laboratory of Mathematical Physics , Wuhan , P. R. China

Abstract

Abstract Consider time-harmonic electromagnetic wave scattering by an infinitely long, cylindrical, orthotropic dielectric partially coated with a very thin layer of a highly conductive material, which can be modeled by a transmission problem with mixed boundary conditions. Having established the well-posedness of the direct and interior transmission problem by the variational method under certain conditions, we make use of the classical linear sampling method to reconstruct the shape of the obstacle. Then, based on a modification of the general data-to-pattern operator G, we propose a novel and simple method to justify the modified linear sampling method.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hubei Province

Natural Science Foundation of Yichang Municipality

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

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