Close-to-touching acoustic subwavelength resonators: eigenfrequency separation and gradient blow-up
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Datum
2020-01Typ
- Report
ETH Bibliographie
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Abstract
In this paper, we study the behaviour of the coupled subwavelength resonant modes when two high-contrast acoustic resonators are brought close together. We consider the case of spherical resonators and use bispherical coordinates to derive explicit representations for the capacitance coefficients which, we show, capture the system's resonant behaviour at leading order. We prove that the pair of resonators has two subwavelength resonant modes whose frequencies have different leading-order asymptotic behaviour. We, also, derive estimates for the rate at which the gradient of the scattered pressure wave blows up as the resonators are brought together. Mehr anzeigen
Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
SAM Research ReportBand
Verlag
Seminar for Applied Mathematics, ETH ZurichThema
Subwavelength resonance; High-contrast metamaterials; Bubbly media; Bispherical coordinates; Close-to-touching spheres; Capacitance coefficientsOrganisationseinheit
09504 - Ammari, Habib / Ammari, Habib
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Is previous version of: http://hdl.handle.net/20.500.11850/447159
ETH Bibliographie
yes
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