Fourier decomposition method applied to mapped infinite domains: scalar analysis of dielectric waveguides down to modal cutoff

Author

Hewlett, Simon J. ; Ladouceur, Francois

Author_Institution

Inst. of Adv. Studies, Australian Nat. Univ., Canberra, ACT, Australia

Volume

13

Issue

3

fYear

1995

fDate

3/1/1995 12:00:00 AM

Firstpage

375

Lastpage

383

Abstract

By transforming the infinite x-y plane onto a unit square and using two-dimensional Fourier series expansions, the modal fields and propagation constants of dielectric waveguides are accurately determined within the scalar (weak-guidance) regime. The new method is reliable down to modal cutoff and gives cutoff V-values directly. Numerical cutoff values for the LP₁₁ modes of square- and rectangular-core waveguides are determined as a function of core aspect ratio, and are found to agree with those obtained by the finite element method to within 0.1%

Keywords

Fourier series; dielectric waveguides; optical fibre cladding; optical fibre theory; rectangular waveguides; refractive index; Fourier decomposition method; LP₁₁ modes; core aspect ratio; cutoff V-values; dielectric waveguides; infinite x-y plane; mapped infinite domains; modal cutoff; modal fields; numerical cutoff values; optical fibre claddings; optical fibre theory; optical figure core; propagation constants; rectangular-core waveguides; refractive index; scalar analysis; scalar weak-guidance regime; square-core waveguides; two-dimensional Fourier series expansions; unit square; Convergence; Dielectric constant; Eigenvalues and eigenfunctions; Finite element methods; Fourier series; Optical waveguides; Planar waveguides; Propagation constant; Rectangular waveguides; Transmission line matrix methods;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.372431

Filename

372431