IAS Program on Inverse Problems, Imaging and Partial Differential Equations

Subwavelength Acoustic Resonators: From Super-resolution to Metamaterials

Abstract

The aim of this talk is to review recent results on the propagation of acoustic waves in bubbly media. The speaker and his collaborator’s main focus is on developing a mathematical and computational framework for the analysis of Minnaert bubbles. By characterizing and exploiting the Minnaert resonance frequencies of bubbles in a variety of situations, they construct a unified theory of super-focusing of acoustic waves, acoustic metamaterials, and controlling acoustic wave propagation at the subwavelength scale. Super-resolution and metamaterials are usually studied within the context of different approaches. Remarkably, as shown in this talk, they owe their origin to the same underlying physical mechanism, namely, wave interaction with a subwavelength resonator.


About the speaker

Mr. Brian Fitzpatrick obtained his MSc in Mathematical Modelling from the University of Limerick. He is currently a PhD student at ETH Zurich. His research is in the area of wave propagation in acoustic metamaterials and involves mathematical physics, spectral theory, and partial differential equations.

 

About the program

For more information, please refer to the program website at http://iasprogram.ust.hk/inverseproblems.

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