Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions: Mathematical justification of the Foldy-Lax model

被引：27

作者：

Cassier, Maxence ^{[1
]}

Hazard, Christophe ^{[1
]}

机构：

[1] ENSTA POEMS, F-75015 Paris, France

来源：

WAVE MOTION | 2013年 / 50卷 / 01期

关键词：

Asymptotics; Multiple scattering; Foldy-Lax model; Point scatterers; HELMHOLTZ; EQUATIONS; DOMAINS;

D O I：

10.1016/j.wavemoti.2012.06.001

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

We are concerned with a two-dimensional problem which models the scattering of a time-harmonic acoustic wave by an arbitrary number of sound-soft circular obstacles. Assuming that their radii are small compared to the wavelength, we propose a mathematical justification of different levels of asymptotic models available in the physical literature, including the so-called Foldy-Lax model. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：18 / 28

页数：11

共 24 条

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Abramowitz M., 1972, HDB MATH FUNCTIONS

[2] Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities [J].