Two-dimensional analysis of optical waveguides with a nonuniform finite difference method

Author

Seki, S. ; Yamanmaka, T. ; Yokoyama, K.

Author_Institution

NTT Opto-Electronics Lab., Kamagawa, Japan

Volume

138

Issue

2

fYear

1991

fDate

4/1/1991 12:00:00 AM

Firstpage

123

Lastpage

127

Abstract

A nonuniform finite difference method is presented for an analysis of arbitrarily-shaped optical waveguides. By introducing preconditioning of discretised coefficient matrices by similarity transformations, it has become possible to improve the accuracy of the solution without paying any penalty in terms of computing time. From the comparison between the exact analytical method and the nonuniform finite difference method for an analysis of planar slab waveguides, it has been clarified that the mesh refinement near the material interfaces plays a dominant role in determining the accuracy of solutions. Furthermore, the nonuniform finite difference method is used to model buried-channel waveguides and is compared with the effective-index method

Keywords

difference equations; integrated optics; matrix algebra; optical waveguide theory; 2D waveguide analysis; buried-channel waveguides; computing time; discretised coefficient matrices; material interfaces; mesh refinement; nonuniform finite difference method; optical waveguides; planar slab waveguides; similarity transformations; solution accuracy;

fLanguage

English

Journal_Title

Optoelectronics, IEE Proceedings J

Publisher

iet

ISSN

0267-3932

Type

jour

Filename

68371