Sub-wavelength focusing of acoustic waves in bubbly media

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 derive the point scatter approximation for multiple scattering by N bubbles. We describe several numerical experiments based on the point scatterer approximation that demonstrate the possibility of achieving super-focusing using bubbly media.

arXiv comment17 pages, 8 figures

References in corpus (4)

• Surface Plasmon Resonance of Nanoparticles and Applications in Imaging
• Time reversal sub-wavelength focusing in bubbly media
• A mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators
• Super-resolution in high contrast media

Cited by in corpus (4)

• The point-interaction approximation for the fields generated by contrasted bubbles at arbitrary fixed frequencies
• Subwavelength localized modes for acoustic waves in bubbly crystals with a defect
• Subwavelength resonances of encapsulated bubbles
• The Foldy-Lax approximation is valid for nearly resonating frequencies