Recovery of the shape of an obstacle and the boundary impedance from the far-field pattern

被引：13

作者：

Cheng, J ^{[1
]}

Liu, JJ

Nakamura, G

机构：

[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

[2] SE Univ, Dept Math Appl, Nanjing 210096, Peoples R China

[3] Hokkaido Univ, Grad Sch Sci, Dept Math, Sapporo, Hokkaido 0608010, Japan

来源：

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2003年 / 43卷 / 01期

关键词：

D O I：

10.1215/kjm/1250283745

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider an inverse scattering problem for an obstacle D subset of R-3 with Robin boundary condition. A reconstruction procedure for identifying both the shape of the obstacle and the boundary impedance from the far-field pattern is proposed. Our method is to transform the far-field patterns into the near-field patterns, then construct an indicator function from which we can determine the boundary shape. Having known the shape of D, the boundary impedance is recovered by moment method for the known boundary.

引用

页码：165 / 186

页数：22

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