Improved coupled-mode theory for reciprocal anisotropic waveguides

Author

Tsang, Leung ; Chuang, Shun-Lien

Author_Institution

Dept. of Electr. Eng., Washington Univ., Seattle, WA, USA

Volume

6

Issue

2

fYear

1988

fDate

2/1/1988 12:00:00 AM

Firstpage

304

Lastpage

311

Abstract

An improved coupled-mode theory for a reciprocal anisotropic multiwaveguide system is derived. The general reciprocal anisotropic medium is described by a symmetric permittivity tensor that can have nonzero off-diagonal elements. The derivation is based on the generalized reciprocity relation. The coupled-mode equations are applicable to both lossy (gain) and lossless systems. For the special case of lossless systems, it is shown that the matrices in the coupled-mode equation are Hermitian, so that energy conservation is observed exactly. For the special case of a single anisotropic waveguide, the results also reduce to the previously derived solutions by D. Marcuse (1975). The improved coupled-mode theory in an anisotropic multiwaveguide system is illustrated with numerical examples

Keywords

matrix algebra; optical waveguide theory; optical waveguides; Hermitian matrices; anisotropic multiwaveguide system; coupled-mode theory; energy conservation; gain systems; generalized reciprocity relation; lossless systems; lossy systems; matrices; nonzero off-diagonal elements; reciprocal anisotropic waveguides; symmetric permittivity tensor; Anisotropic magnetoresistance; Energy conservation; Equations; Integral equations; Optical coupling; Optical waveguide theory; Optical waveguides; Permittivity; Symmetric matrices; Tensile stress; Transmission line matrix methods; Waveguide theory;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.4003

Filename

4003