A scalar variational analysis of rectangular dielectric waveguides using Hermite-Gaussian modal approximations

Author

Erteza, Ireena A. ; Goodman, Joseph W.

Author_Institution

Sandia Nat. Labs., Albuquerque, NM, USA

Volume

13

Issue

3

fYear

1995

fDate

3/1/1995 12:00:00 AM

Firstpage

493

Lastpage

506

Abstract

A scalar variational analysis of rectangular dielectric waveguides using Hermite-Gaussian modal approximations is presented. The technique analyzes waveguides by finding a closed-form, approximate solution to the given problem. We begin with an assumed, closed-form field solution, with unknown parameters which can be chosen to best match the assumed field to the actual field solution using variational principles. The values of the unknown parameters of the assumed field are determined by solving a set of simultaneous equations, not by a search method. As a result, this analysis method is computationally fast. Another benefit is that this method gives best-fit, closed-form modal approximations

Keywords

approximation theory; dielectric waveguides; integrated optics; optical waveguide theory; optical waveguides; rectangular waveguides; variational techniques; Hermite-Gaussian modal approximations; closed-form approximate solution; closed-form modal approximations; computationally fast; field solution; integrated optical waveguides; rectangular dielectric waveguides; scalar variational analysis; simultaneous equations; unknown parameters; variational principles; Dielectrics; Optical planar waveguides; Optical waveguide components; Optical waveguide theory; Optical waveguides; Partial differential equations; Planar waveguides; Propagation constant; Rectangular waveguides; Search methods;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.372447

Filename

372447