Wave Interaction with Subwavelength Resonators
Habib Ammari (ETH Zürich)
Abstract: In this lecture, the speaker reviews recent results on subwavelength resonances. His main focus is on developing a mathematical and computational framework for their analysis. By characterizing and exploiting subwavelength resonances in a variety of situations, he proposes a mathematical explanation for super-focusing of waves, double-negative metamaterials, Dirac singularities in honeycomb subwavelength structures, and topologically protected defect modes at the subwavelength scale. He also describes a new resonance approach for modelling the cochlea which predicts the existence of a travelling wave in the acoustic pressure in the cochlea fluid and offers a basis for the tonotopic map.
Mathematics
Audience: researchers in the topic
International Zoom Inverse Problems Seminar, UC Irvine
Organizers: | Katya Krupchyk*, Knut Solna |
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