The Factorization Method for a Mixed Scattering Problem from a Bounded Obstacle and an Open Arc

The Factorization Method for a Mixed Scattering Problem from a Bounded Obstacle and an Open Arc

Year:    2019

Author:    Qinghua Wu, Meilan Zeng, Wentao Xiong, Guozheng Yan, Jun Guo

Journal of Computational Mathematics, Vol. 37 (2019), Iss. 3 : pp. 384–402

Abstract

In this paper, we consider the scattering problem of time-harmonic electromagnetic waves from an infinite cylinder having an open arc $Γ$ and a bounded domain $D$ in $\mathbb{R}$as cross section. We focus on the inverse scattering problem, that is, to reconstruct the shape of $Γ$ and $D$ from the far-field pattern by using the factorization method. Through establishing a mixed reciprocity relation, we prove that the scatters $Γ$ and $D$ can be uniquely determined by the far-field pattern. Furthermore, the mathematical basis is given to explain that the factorization method is feasible to our problem. At the end of this paper, we give some numerical examples to show the efficaciousness of the algorithms.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1805-m2017-0151

Journal of Computational Mathematics, Vol. 37 (2019), Iss. 3 : pp. 384–402

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Factorization method Inverse scattering problem Mixed scattering Time-harmonic electromagnetic wave.

Author Details

Qinghua Wu

Meilan Zeng

Wentao Xiong

Guozheng Yan

Jun Guo