Minnaert resonances for acoustic waves in bubbly media

Habib Ammari; Brian Fitzpatrick; David Gontier; Hyundae Lee; Hai Zhang

doi:10.1016/j.anihpc.2018.03.007

Minnaert resonances for acoustic waves in bubbly media

Habib Ammari
, Brian Fitzpatrick
, David Gontier
, Hyundae Lee
, Hai Zhang

ETH Zurich
Inha University
The Hong Kong University of Science and Technology

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

Through the application of layer potential techniques and Gohberg–Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We also provide a mathematical justification for the monopole approximation of scattering of acoustic waves by bubbles at their Minnaert resonant frequency. Our results are complemented by several numerical examples which serve to validate our formula in two dimensions.

langue originale	Anglais
Pages (de - à)	1975-1998
Nombre de pages	24
journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	35
Numéro de publication	7
Les DOIs	https://doi.org/10.1016/j.anihpc.2018.03.007
état	Publié - 1 nov. 2018
Modification externe	Oui

Accès au document

10.1016/j.anihpc.2018.03.007

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{095f8385cfdd4628b138016db2048dfd,

title = "Minnaert resonances for acoustic waves in bubbly media",

abstract = "Through the application of layer potential techniques and Gohberg–Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We also provide a mathematical justification for the monopole approximation of scattering of acoustic waves by bubbles at their Minnaert resonant frequency. Our results are complemented by several numerical examples which serve to validate our formula in two dimensions.",

keywords = "Acoustic waves, Bubble, Layer potentials, Minnaert resonance, Monopole approximation",

author = "Habib Ammari and Brian Fitzpatrick and David Gontier and Hyundae Lee and Hai Zhang",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Masson SAS",

year = "2018",

month = nov,

day = "1",

doi = "10.1016/j.anihpc.2018.03.007",

language = "English",

volume = "35",

pages = "1975--1998",

journal = "Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire",

issn = "0294-1449",

number = "7",

}

TY - JOUR

T1 - Minnaert resonances for acoustic waves in bubbly media

AU - Ammari, Habib

AU - Fitzpatrick, Brian

AU - Gontier, David

AU - Lee, Hyundae

AU - Zhang, Hai

PY - 2018/11/1

Y1 - 2018/11/1

N2 - Through the application of layer potential techniques and Gohberg–Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We also provide a mathematical justification for the monopole approximation of scattering of acoustic waves by bubbles at their Minnaert resonant frequency. Our results are complemented by several numerical examples which serve to validate our formula in two dimensions.

AB - Through the application of layer potential techniques and Gohberg–Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We also provide a mathematical justification for the monopole approximation of scattering of acoustic waves by bubbles at their Minnaert resonant frequency. Our results are complemented by several numerical examples which serve to validate our formula in two dimensions.

KW - Acoustic waves

KW - Bubble

KW - Layer potentials

KW - Minnaert resonance

KW - Monopole approximation

UR - https://www.scopus.com/pages/publications/85045085286

U2 - 10.1016/j.anihpc.2018.03.007

DO - 10.1016/j.anihpc.2018.03.007

M3 - Article

AN - SCOPUS:85045085286

SN - 0294-1449

VL - 35

SP - 1975

EP - 1998

JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 7

ER -

Minnaert resonances for acoustic waves in bubbly media

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation