THE FACTORIZATION METHOD FOR A PARTIALLY COATED CAVITY IN INVERSE SCATTERING

被引：7
|
作者：
Wu, Qinghua [1 ,2 ]
Yan, Guozheng [1 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China
[2] Hubei Engn Univ, Sch Math & Stat, Xiaogan, Peoples R China
来源：
INVERSE PROBLEMS AND IMAGING | 2016年 / 10卷 / 01期
关键词：
Factorization method; inverse scattering problem; cavity; partially coated; acoustic and electromagnetic wave; INTEGRAL-EQUATION; OBSTACLE; OPERATOR;
D O I：
10.3934/ipi.2016.10.263
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the interior inverse scattering problem of recovering the shape of an impenetrable partially coated cavity. The scattered fields incited by point source waves are measured on a closed curve inside the cavity. We prove the validity of the factorization method for reconstructing the shape of the cavity. However, we are not able to apply the basic theorem introduced by Kirsch and Grinberg to treat the key operator directly, and some auxiliary operators have to be considered. In this paper, we provide theoretical validation of the factorization method to the problem, and some numerical results are presented to show the viability of our method.
引用
收藏
页码：263 / 279
页数：17
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