Sub-wavelength focusing of acoustic waves in bubbly media-Reference-Cited by-同舟云学术

Sub-wavelength focusing of acoustic waves in bubbly media

Published:2017-12 Issue:2208 Volume:473 Page:20170469
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Ammari Habib¹^ORCID,Fitzpatrick Brian¹,Gontier David²,Lee Hyundae³,Zhang Hai⁴

Affiliation:

1. Department of Mathematics, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland

2. CEREMADE, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France

3. Department of Mathematics, Inha University, 253 Yonghyun-dong Nam-gu, Incheon 402-751, South Korea

4. Department of Mathematics, HKUST, Clear Water Bay, Kowloon, Hong Kong

Abstract

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.

Funder

NRF-Korea

Hong Kong University of Science and Technology

HK RGC

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2017.0469

Reference24 articles.

1. XVI.On musical air-bubbles and the sounds of running water

2. Mathematical and Statistical Methods for Multistatic Imaging

3. Subwavelength focusing in bubbly media using broadband time reversal

4. Layer Potential Techniques in Spectral Analysis

5. Ammari H Gontier D Fitzpatrick B Lee H Zhang H. 2016 Minnaert resonances for acoustic waves in bubbly media. (http://arxiv.org/abs/1603.03982)

Cited by 28 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes;ESAIM: Mathematical Modelling and Numerical Analysis;2023-03

2. The Foldy–Lax approximation is valid for nearly resonating frequencies;Zeitschrift für angewandte Mathematik und Physik;2022-12-08

3. Analysis of a Monte-Carlo Nystrom Method;SIAM Journal on Numerical Analysis;2022-06

4. Robust edge modes in dislocated systems of subwavelength resonators;Journal of the London Mathematical Society;2022-04-22

5. Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies;Studies in Applied Mathematics;2022-03-24