PLASMON RESONANCE WITH FINITE FREQUENCIES : A VALIDATION OF THE QUASI-STATIC APPROXIMATION FOR DIAMETRICALLY SMALL INCLUSIONS

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Detail(s)

Original languageEnglish
Pages (from-to)731-749
Journal / PublicationSIAM Journal on Applied Mathematics
Volume76
Issue number2
Online published31 Mar 2016
Publication statusPublished - 2016
Externally publishedYes

Abstract

We study resonance for the Helmholtz equation with a finite frequency in a plasmonic material of negative dielectric constant in two and three dimensions. We show that the quasi-static approximation is valid for diametrically small inclusions. In fact, we quantitatively prove that if the diameter of an inclusion is small compared to the loss parameter, then resonance occurs exactly at eigenvalues of the Neumann{Poincare operator associated with the inclusion. © 2016 Society for Industrial and Applied Mathematics

Research Area(s)

  • eigenvalues, finite frequency, Helmholtz equation, Neumann-Poincaré operator, plasmon resonance, quasi-static limit

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