Determination of the truncation order and numerical window for modeling general dielectric waveguides by the Fourier method

Author

Ramanujam, Nandakumar ; Li, Lifeng ; Burke, James J. ; Gribbons, Michael A.

Author_Institution

Optical Sci. Center, Arizona Univ., Tucson, AZ, USA

Volume

14

Issue

3

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

500

Lastpage

508

Abstract

The Fourier method of Henry and Verbeek, provides fast and accurate computation of the guided modes of 2- and 3-D waveguides with either homogeneous or inhomogeneous refractive index profiles. However, the accuracy and speed of the computation depends on the size of the numerical window and the number of terms (or truncation order) in the Fourier expansion of the solution to the reduced scalar wave equation. In this paper, we present a novel technique for the a priori determination of the numerical window and truncation order (of the Fourier method) by using the Wentzel-Kramers-Brillouin technique and the effective index method. This obviates the need to iteratively correct the computational parameters when using the Fourier method

Keywords

Fourier analysis; WKB calculations; dielectric waveguides; modelling; optical waveguide theory; refractive index; wave equations; 2-D waveguides; 3-D waveguides; Fourier expansion; Fourier method; Wentzel-Kramers-Brillouin technique; a priori determination; computation; computational parameters; effective index method; general dielectric waveguides; guided modes; homogeneous refractive index profiles; inhomogeneous refractive index profiles; iteratively correct; numerical window; reduced scalar wave equation; truncation order; Dielectric substrates; Finite difference methods; Moment methods; Numerical models; Optical refraction; Optical variables control; Optical waveguides; Partial differential equations; Refractive index; Transmission line matrix methods;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.485613

Filename

485613