Minnaert resonances for acoustic waves in bubbly media

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

doi:10.1016/j.anihpc.2018.03.007

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Minnaert resonances for acoustic waves in bubbly media

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

Citations

WEB OF SCIENCE

82

Citations

SCOPUS

90

초록

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. (C) 2018 Elsevier Masson SAS. All rights reserved.

키워드

Minnaert resonance; Bubble; Monopole approximation; Layer potentials; Acoustic waves; PLASMON RESONANCE; SPECTRAL PROPERTIES; AIR BUBBLES; EQUATION; FREQUENCY; LAYER; NANOPARTICLES; PROPAGATION; SCATTERING; LIQUIDS

제목: Minnaert resonances for acoustic waves in bubbly media

저자: Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai

DOI: 10.1016/j.anihpc.2018.03.007

발행일: 2018-11

유형: Article

저널명: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis

권: 35

호: 7

페이지: 1975 ~ 1998