Minnaert resonances for acoustic waves in bubbly media

Abstract

Through the application of layer potential techniques and Gohberg-Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We also provide a mathematical justification for the monopole approximation of scattering of acoustic waves by bubbles at their Minnaert resonant frequency. Our results are complemented by several numerical examples which serve to validate our formula in two dimensions.

References in corpus (2)

• Time reversal sub-wavelength focusing in bubbly media
• Super-resolution in high contrast media

Cited by in corpus (5)

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• Electromagnetic field enhancement in a subwavelength rectangular open cavity
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• Subwavelength phononic bandgap opening in bubbly media
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