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

Maxence Cassier; Christophe Hazard

doi:10.1016/j.wavemoti.2012.06.001

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

Maxence Cassier, Christophe Hazard

Laboratoire POems UMR 7231 CNRS-INRIA-ENSTA, ENSTA-UMA

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	18-28
Number of pages	11
Journal	Wave Motion
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.wavemoti.2012.06.001
Publication status	Published - 1 Jan 2013

Keywords

Asymptotics
Foldy-Lax model
Multiple scattering
Point scatterers

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10.1016/j.wavemoti.2012.06.001

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

abstract = "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.",

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AB - 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.

KW - Asymptotics

KW - Foldy-Lax model

KW - Multiple scattering

KW - Point scatterers

U2 - 10.1016/j.wavemoti.2012.06.001

DO - 10.1016/j.wavemoti.2012.06.001

M3 - Article

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SN - 0165-2125

VL - 50

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EP - 28

JO - Wave Motion

JF - Wave Motion

IS - 1

ER -

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

Abstract

Keywords

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