Sub-wavelength focusing of acoustic waves in bubbly media

被引：30

作者：

Ammari, Habib ^{[1
]}

Fitzpatrick, Brian ^{[1
]}

Gontier, David ^{[2
]}

Lee, Hyundae ^{[3
]}

Zhang, Hai ^{[4
]}

机构：

[1] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

[2] Univ Paris 09, CEREMADE, Pl Marechal Lattre Tassigny, F-75775 Paris 16, France

[3] Inha Univ, Dept Math, 253 Yonghyun Dong, Incheon 402751, South Korea

[4] HKUST, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2017年 / 473卷 / 2208期

关键词：

Minnaert resonance; system of bubbles; sub-wavelength focusing; NANOPARTICLES; EQUATIONS; RESONANCE;

D O I：

10.1098/rspa.2017.0469

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The purpose of this paper is to investigate acoustic wave scattering by a large number of bubbles in a liquid at frequencies near the Minnaert resonance frequency. This bubbly media has been exploited in practice to obtain super-focusing of acoustic waves. Using layer potential techniques, we derive the scattering function for a single spherical bubble excited by an incident wave in the low frequency regime. We then propose a point scatterer approximation for N bubbles, and describe several numerical simulations based on this approximation, that demonstrate the possibility of achieving super-focusing using bubbly media.

引用

页数：17

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