A DECOMPOSITION METHOD FOR AN INTERIOR INVERSE SCATTERING PROBLEM

被引：35
|
作者：
Zeng, Fang [1 ]
Suarez, Pablo [1 ]
Sun, Jiguang [2 ]
机构：
[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
[2] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA
来源：
INVERSE PROBLEMS AND IMAGING | 2013年 / 7卷 / 01期
关键词：
Interior inverse scattering problem; decomposition method; Helmholtz equations; HARMONIC ACOUSTIC-WAVES; OBSTACLE SCATTERING; RESONANCE REGION; RECIPROCITY; UNIQUENESS;
D O I：
10.3934/ipi.2013.7.291
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an interior inverse scattering problem of reconstructing the shape of a cavity. The measurements are the scattered fields on a curve inside the cavity due to one point source. We employ the decomposition method to reconstruct the cavity and present some convergence results. Numerical examples are provided to show the viability of the method.
引用
收藏
页码：291 / 303
页数：13
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