Sub-wavelength focusing of acoustic waves in bubbly media. (31st December 2017)

• Record Type: Journal Article
• Authors: Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
• Is Part Of: Proceedings. Volume 473:Number 2208(2017)
• Publication Date: 2017-12-31
• Subjects: Minnaert resonance -- system of bubbles -- sub-wavelength focusing; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rspa.2017.0469
• Languages: English
• ISSNs: 1364-5021

Abstract

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.