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}$2 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.