Sub-wavelength focusing of acoustic waves in bubbly media - Archive ouverte HAL
Journal Articles Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Year : 2017

Sub-wavelength focusing of acoustic waves in bubbly media

Habib Ammari
Brian Fitzpatrick
  • Function : Author
Hyundae Lee
  • Function : Author
Hai Zhang
  • Function : Author

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.

Dates and versions

hal-03363278 , version 1 (03-10-2021)

Identifiers

Cite

David Gontier, Habib Ammari, Brian Fitzpatrick, Hyundae Lee, Hai Zhang. Sub-wavelength focusing of acoustic waves in bubbly media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2017, 473 (2208), pp.20170469. ⟨10.1098/rspa.2017.0469⟩. ⟨hal-03363278⟩
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