Integral equation method for acoustic scattering by an inhomogeneous penetrable obstacle in a stratified medium

被引：5

作者：

Qin, Yuehai ^{[1
]}

Liu, Lihan ^{[2
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[2] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 11期

关键词：

inhomogeneous penetrable obstacle; existence; uniqueness; stratified medium; integral equation method; 35J05; 35J25; 74J20; INVERSE SCATTERING;

D O I：

10.1080/00036811.2014.924111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the scattering of time-harmonic acoustic waves by an inhomogeneous penetrable obstacle in a stratified medium. By using the integral equation method, we prove the uniqueness and existence of solutions for the acoustic scattering by an inhomogeneous penetrable obstacle in a stratified medium. We then establish the mixed reciprocity relation which plays an important role in the inverse scattering problem.

引用

页码：2402 / 2412

页数：11

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