Title :
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
fDate :
3/1/1995 12:00:00 AM
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;
Journal_Title :
Lightwave Technology, Journal of
