Uniqueness in the inverse scattering problem in a piecewise homogeneous medium

被引：39

作者：

Liu, Xiaodong ^{[1
]}

Zhang, Bo

Hu, Guanghui

机构：

[1] Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China

来源：

INVERSE PROBLEMS | 2010年 / 26卷 / 01期

关键词：

OBSTACLES;

D O I：

10.1088/0266-5611/26/1/015002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The scattering of time-harmonic acoustic plane waves by an impenetrable obstacle in a piecewise homogeneous medium is considered. Having established the well posedness of the direct problem by the variational method, we prove a uniqueness result for the inverse problem, that is, the unique determination of the obstacle and its boundary condition from a knowledge of the far-field pattern for incident plane waves. The proof is based on a generalization of the mixed reciprocity relation.

引用

页数：14

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