High order asymptotics for wave propagation across thin periodic interfaces

Xavier Claeys; Bérangère Delourme

doi:10.3233/ASY-2012-1150

High order asymptotics for wave propagation across thin periodic interfaces

Xavier Claeys
, Bérangère Delourme

Université Paul Sabatier
INRIA Rocquencourt
Ecole polytechnique
Univ. Joseph Fourier-Grenoble 1

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

15 Citations (Scopus)

Abstract

This work deals with the scattering of acoustic waves by a thin ring that contains many regularly-spaced heterogeneities. We provide and justify a complete description of the solution with respect to the period and the thickness of the heterogeneities. Our approach mixes matched asymptotic expansions and homogenization theory.

Original language	English
Pages (from-to)	35-82
Number of pages	48
Journal	Asymptotic Analysis
Volume	83
Issue number	1-2
DOIs	https://doi.org/10.3233/ASY-2012-1150
Publication status	Published - 17 Jun 2013
Externally published	Yes

Keywords

Helmholtz equation
homogenization
matched asymptotic expansions
periodic thin interfaces

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title = "High order asymptotics for wave propagation across thin periodic interfaces",

abstract = "This work deals with the scattering of acoustic waves by a thin ring that contains many regularly-spaced heterogeneities. We provide and justify a complete description of the solution with respect to the period and the thickness of the heterogeneities. Our approach mixes matched asymptotic expansions and homogenization theory.",

keywords = "Helmholtz equation, homogenization, matched asymptotic expansions, periodic thin interfaces",

author = "Xavier Claeys and B{\'e}rang{\`e}re Delourme",

year = "2013",

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doi = "10.3233/ASY-2012-1150",

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AB - This work deals with the scattering of acoustic waves by a thin ring that contains many regularly-spaced heterogeneities. We provide and justify a complete description of the solution with respect to the period and the thickness of the heterogeneities. Our approach mixes matched asymptotic expansions and homogenization theory.

KW - Helmholtz equation

KW - homogenization

KW - matched asymptotic expansions

KW - periodic thin interfaces

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DO - 10.3233/ASY-2012-1150

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JO - Asymptotic Analysis

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High order asymptotics for wave propagation across thin periodic interfaces

Abstract

Keywords

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