Spectral Resolution of the Neumann–Poincaré Operator on Intersecting Disks and Analysis of Plasmon Resonance

Hyeonbae Kang, Mikyoung Lim, Sanghyeon Yu

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

The purpose of this paper is to investigate the spectral nature of the Neumann–Poincaré operator on the intersecting disks, which is a domain with the Lipschitz boundary. The complete spectral resolution of the operator is derived, which shows, in particular, that it admits only the absolutely continuous spectrum; no singularly continuous spectrum and no pure point spectrum. We then quantitatively analyze using the spectral resolution of the plasmon resonance at the absolutely continuous spectrum.

Original languageEnglish
Pages (from-to)83-115
Number of pages33
JournalArchive for Rational Mechanics and Analysis
Volume226
Issue number1
DOIs
Publication statusPublished - 2017 Oct 1
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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