THE FACTORIZATION METHOD FOR RECONSTRUCTING A PENETRABLE OBSTACLE WITH UNKNOWN BURIED OBJECTS

被引：44

作者：

Yang, Jiaqing ^{[1
]}

Zhang, Bo ^{[2
,3
]}

Zhang, Haiwen ^{[3
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2013年 / 73卷 / 02期

关键词：

factorization method; inverse-scattering problem; far-field pattern; penetrable obstacles; buried objects; INVERSE SCATTERING PROBLEM; TRANSMISSION PROBLEM; UNIQUENESS;

D O I：

10.1137/120883724

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous penetrable obstacle with buried objects inside. We prove under certain conditions that the factorization method can be applied to reconstruct the penetrable obstacle from far-field data without knowing the buried objects inside. Numerical examples are also provided illustrating the inversion algorithm.

引用

页码：617 / 635

页数：19