Mathematical basis for a mixed inverse scattering problem

Qinghua Wu and Guozheng Yan

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 123, issue C, 37-52

Abstract: In this paper we consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open arc and a bounded domain in R2 as cross section. To this end, we solve a mixed scattering problem for the Helmholtz equation in R2 where the scattering object is a combination of a crack Γ and a bounded obstacle D, and we set suitable boundary conditions on Γ and ∂D (∂D∈C2). The boundary integral method is employed to study the direct scattering problem. The mathematical basis is given to reconstruct the shape of the crack and the obstacle by using the linear sampling method. The numerical examples are given to show the viability of the method.

Keywords: The linear sampling method; Inverse scattering problem; Mixed scattering problem (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:123:y:2016:i:c:p:37-52

DOI: 10.1016/j.matcom.2015.10.014

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