Plasmon resonance with finite frequencies: A validation of the quasi-static approximation for diametrically small inclusions

Kazunori Ando, Hyeonbae Kang, Hongyu LIU

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)731-749
Number of pages19
JournalSIAM Journal on Applied Mathematics
Volume76
Issue number2
DOIs
Publication statusPublished - 2016

Scopus Subject Areas

  • Applied Mathematics

User-Defined Keywords

  • Eigenvalues
  • Finite frequency
  • Helmholtz equation
  • Neumann-Poincaré operator
  • Plasmon resonance
  • Quasi-static limit

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