Series solutions to the arbitrary profile 1-D waveguide and quantum-well problems

Author

Gallagher, Dominic F G

Author_Institution

Abertawe Optoelectron, Consultancy, Swansea, UK

Volume

28

Issue

8

fYear

1992

fDate

8/1/1992 12:00:00 AM

Firstpage

1785

Lastpage

1791

Abstract

The 1D waveguide of arbitrary dielectric profile is solved for TE and TM modes by a method based on series solutions. It is a guess-propagate-iterate scheme. The profile is approximated by small segments of either constant or linearly changing dielectric constant. The method is accurate, generally significantly faster than other methods, and can cope with modes near cutoff; and with lossy, or gain-guided modes. Series solutions are also given to solve the 1D Schrodinger equation

Keywords

Schrodinger equation; integrated optics; iterative methods; optical waveguide theory; semiconductor quantum wells; 1D Schrodinger equation; 1D waveguide; TE modes; TM modes; arbitrary profile; dielectric profile; gain-guided modes; guess-propagate-iterate scheme; linearly changing dielectric constant; lossy modes; near cutoff; quantum-well problems; series solutions; Application software; Dielectric constant; Dielectric losses; Optical refraction; Optical variables control; Optical waveguides; Quantum wells; Schrodinger equation; Tellurium; Transmission line matrix methods;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.142576

Filename

142576