Use of specific Green's functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves

被引：12

作者：

Groby, J. P.

De Ryck, L.

Leclaire, P.

Wirgin, A.

Laurikas, W.

Gilbert, R. P.

Xu, Y. S.

机构：

[1] Katholieke Univ Leuven, Akoestieke Thermische Fys, B-3001 Heverlee, Belgium

[2] CNRS, Lab Mecan & Acoust, UPR7051, F-13402 Marseille 20, France

[3] Univ Delaware, Newark, DE 19716 USA

[4] Univ Louisville, Dept Math, Louisville, KY 40292 USA

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2007年 / 30卷 / 01期

关键词：

Green's function; Fredholm equation; Born approximation; wave equation;

D O I：

10.1002/mma.781

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A domain integral method employing a specific Green's function (i.e. incorporating some features of the global problem of wave propagation in an inhomogeneous medium) is developed for solving direct and inverse scattering problems relative to slab-like macroscopically inhomogeneous porous obstacles. It is shown how to numerically solve such problems, involving both spatially-varying density and compressibility, by means of an iterative scheme initialized with a Born approximation. A numerical solution is obtained for a canonical problem involving a two-layer slab. Copyright (C) 2006 John Wiley & Sons, Ltd.

引用

页码：91 / 122

页数：32