Superfocusing modes of surface plasmon polaritons in conical geometry based on the quasi-separation of variables approach

Kazuyoshi Kurihara, Akira Otomo, Atsushi Syouji, Junichi Takahara, Koji Suzuki, Shiyoshi Yokoyama

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

Analytic solutions to the superfocusing modes of surface plasmon polaritons in a conical geometry are theoretically studied using an ingenious method called the quasi-separation of variables. This method can be used to look for fundamental solutions to the wave equation for a field that must satisfy boundary conditions at all points on the continuous surface of tapered geometries. The set of differential equations exclusively separated from the wave equation can be consistently solved in combination with perturbation methods. This paper presents the zeroth-order perturbation solution of conical superfocusing modes with azimuthal symmetry and graphically represents them in electric field-line patterns.

Original languageEnglish
Pages (from-to)12479-12503
Number of pages25
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number41
DOIs
Publication statusPublished - 2007 Oct 12

Fingerprint

Surface Plasmon Polariton
Separation of Variables
Wave equations
polaritons
wave equations
Wave equation
Perturbation Solution
perturbation
Geometry
Zeroth
Perturbation Method
geometry
Fundamental Solution
Analytic Solution
Electric Field
Differential equations
differential equations
Electric fields
Boundary conditions
boundary conditions

ASJC Scopus subject areas

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

Cite this

Superfocusing modes of surface plasmon polaritons in conical geometry based on the quasi-separation of variables approach. / Kurihara, Kazuyoshi; Otomo, Akira; Syouji, Atsushi; Takahara, Junichi; Suzuki, Koji; Yokoyama, Shiyoshi.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 41, 12.10.2007, p. 12479-12503.

Research output: Contribution to journalArticle

Kurihara, Kazuyoshi ; Otomo, Akira ; Syouji, Atsushi ; Takahara, Junichi ; Suzuki, Koji ; Yokoyama, Shiyoshi. / Superfocusing modes of surface plasmon polaritons in conical geometry based on the quasi-separation of variables approach. In: Journal of Physics A: Mathematical and Theoretical. 2007 ; Vol. 40, No. 41. pp. 12479-12503.
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