Uniqueness in the inverse scattering problem in a piecewise homogeneous medium

被引：40
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.
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页数：14
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