Minnaert resonances for acoustic waves in bubbly media

被引：64
作者：
Ammari, Habib [1 ]
Fitzpatrick, Brian [1 ]
Gontier, David [1 ]
Lee, Hyundae [2 ]
Zhang, Hai [3 ]
机构：
[1] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland
[2] Inha Univ, Dept Math, 253 Yonghyun Dong, Incheon 402751, South Korea
[3] HKUST, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2018年 / 35卷 / 07期
关键词：
Minnaert resonance; Bubble; Monopole approximation; Layer potentials; Acoustic waves; PLASMON RESONANCE; SPECTRAL PROPERTIES; AIR BUBBLES; EQUATION; FREQUENCY; LAYER; NANOPARTICLES; PROPAGATION; SCATTERING; LIQUIDS;
D O I：
10.1016/j.anihpc.2018.03.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1975 / 1998
页数：24
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