Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables

Kazuyoshi Kurihara, Akira Otomo, Kazuhiro Yamamoto, Junichi Takahara, Masahiko Tani, Fumiyoshi Kuwashima

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This paper describes the plasmonic modes in the parabolic cylinder geometry as a theoretical complement to the previous paper (J Phys A 42:185401) that considered the modes in the circular paraboloidal geometry. In order to identify the plasmonic modes in the parabolic cylinder geometry, analytic solutions for surface plasmon polaritons are examined by solving the wave equation for the magnetic field in parabolic cylindrical coordinates using quasi-separation of variables in combination with perturbation methods. The examination of the zeroth-order perturbation equations showed that solutions cannot exist for the parabolic metal wedge but can be obtained for the parabolic metal groove as standing wave solutions indicated by the even and odd symmetries.

Original languageEnglish
Pages (from-to)165-182
Number of pages18
JournalPlasmonics
Volume10
Issue number1
DOIs
Publication statusPublished - Jan 1 2014

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Metals
Geometry
Magnetic Fields
Wave equations
Magnetic fields

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Biophysics
  • Biochemistry

Cite this

Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables. / Kurihara, Kazuyoshi; Otomo, Akira; Yamamoto, Kazuhiro; Takahara, Junichi; Tani, Masahiko; Kuwashima, Fumiyoshi.

In: Plasmonics, Vol. 10, No. 1, 01.01.2014, p. 165-182.

Research output: Contribution to journalArticle

Kurihara, Kazuyoshi ; Otomo, Akira ; Yamamoto, Kazuhiro ; Takahara, Junichi ; Tani, Masahiko ; Kuwashima, Fumiyoshi. / Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables. In: Plasmonics. 2014 ; Vol. 10, No. 1. pp. 165-182.
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