Mode solver based on Gegenbauer polynomial expansion for cylindrical structures with arbitrary cross sections

Kofi Edee, Mira Abboud, Gérard Granet, Jean Francois Cornet, Nikolay A. Gippius

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We present a modal method for the computation of eigenmodes of cylindrical structures with arbitrary cross sections. These modes are found as eigenvectors of a matrix eigenvalue equation that is obtained by introducing a new coordinate system that takes into account the profile of the cross section. We show that the use of Hertz potentials is suitable for the derivation of this eigenvalue equation and that the modal method based on Gegenbauer expansion (MMGE) is an efficient tool for the numerical solution of this equation. Results are successfully compared for both perfectly conducting and dielectric structures. A complex coordinate version of the MMGE is introduced to solve the dielectric case.

Original languageEnglish
Pages (from-to)667-676
Number of pages10
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume31
Issue number4
DOIs
Publication statusPublished - 1 Apr 2014
Externally publishedYes

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