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
收藏
页数：17
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