Multilayer waveguides: efficient numerical analysis of general structures

Author

Anemogiannis, Emmanuel ; Glytsis, Elias N.

Author_Institution

Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

10

Issue

10

fYear

1992

fDate

10/1/1992 12:00:00 AM

Firstpage

1344

Lastpage

1351

Abstract

An efficient numerical method for accurately determining the real and/or complex propagation constants of guided modes and leaky waves in general multilayer waveguides is presented. The method is applicable to any lossless and/or lossy (dielectric, semiconductor, metallic) waveguide structure. The method is based on the argument principle theorem and is capable of extracting all of the zeros of any analytic function in the complex plane. It is applied to solving the multilayer waveguide dispersion equation derived from the well known thin-film transfer matrix theory. Excellent agreement is found with seven previously published results and with results from two limiting cases where the propagating constants can be obtained analytically

Keywords

integrated optics; numerical analysis; optical losses; optical waveguide theory; analytic function; argument principle theorem; complex plane; complex propagation constants; dielectric; dispersion equation; efficient numerical method; general multilayer waveguides; guided modes; leaky waves; lossless waveguide structure; lossy waveguide structure; metal; real propagation constants; semiconductor; thin-film transfer matrix theory; Dielectric losses; Electromagnetic waveguides; Equations; Nonhomogeneous media; Numerical analysis; Optical losses; Optical waveguides; Propagation constant; Propagation losses; Semiconductor waveguides;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.166774

Filename

166774