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

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

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

Access to Document

10.3233/ASY-2012-1150

Cite this

@article{f13d385466e14a4181155c0e811639e0,

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",

month = jun,

day = "17",

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

language = "English",

volume = "83",

pages = "35--82",

journal = "Asymptotic Analysis",

issn = "0921-7134",

number = "1-2",

}

TY - JOUR

T1 - High order asymptotics for wave propagation across thin periodic interfaces

AU - Claeys, Xavier

AU - Delourme, Bérangère

PY - 2013/6/17

Y1 - 2013/6/17

N2 - 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.

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

U2 - 10.3233/ASY-2012-1150

DO - 10.3233/ASY-2012-1150

M3 - Article

AN - SCOPUS:84878868281

SN - 0921-7134

VL - 83

SP - 35

EP - 82

JO - Asymptotic Analysis

JF - Asymptotic Analysis

IS - 1-2

ER -

High order asymptotics for wave propagation across thin periodic interfaces

Abstract

Keywords

Access to Document

Fingerprint

Cite this