Identifying plasmonic modes in a circular paraboloidal geometry by quasi-separation of variables

Kazuyoshi Kurihara, Junichi Takahara, Kazuhiro Yamamoto, Akira Otomo

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Analytic solutions for surface plasmon polaritons in a circular paraboloidal geometry are theoretically studied by solving the wave equation for the magnetic field in paraboloidal coordinates, using the quasi-separation of variables in combination with perturbation methods. It is found that solutions do not exist for a metallic solid paraboloid, but they can be obtained for a metallic hollow paraboloid in the form of standing waves. This paper provides the zeroth- and first-order approximate solutions of plasmonic modes for a metallic hollow paraboloid and graphically represents the zeroth-order solution in electric field-line patterns.

Original languageEnglish
Article number185401
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number18
DOIs
Publication statusPublished - 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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