Solution to the wave equation in the numerical simulation of buried heterostructure lasers

Author

Gault, M. ; Mawby, P.A. ; Towers, M.S.

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. Coll. of Swansea, UK

Volume

140

Issue

1

fYear

1993

fDate

2/1/1993 12:00:00 AM

Firstpage

44

Lastpage

48

Abstract

In the numerical simulation of buried heterostructure (BH) lasers a fast, accurate method is essential to solve the wave equation. The paper compares the effective index method with the weighted index method and it is found that if modes other than the fundamental are to be considered the effective index method becomes inaccurate. The authors investigate several methods for solving the algebraic eigenvalue equation which results from the effective and weighted index methods. It is found that a method based on inverse iteration with successive eigenvalue refinement is highly efficient, with good initial approximations to the eigenvalue and eigenvector obtained using a Sturm sequence and inversion

Keywords

approximation theory; eigenvalues and eigenfunctions; iterative methods; laser theory; refractive index; semiconductor lasers; InGaAsP-InP; Sturm inversion; Sturm sequence; accurate method; algebraic eigenvalue equation; buried heterostructure lasers; effective index method; eigenvector; fast method; good initial approximations; inverse iteration; laser diodes; laser modes; numerical simulation; semiconductors; successive eigenvalue refinement; wave equation; weighted index method;

fLanguage

English

Journal_Title

Optoelectronics, IEE Proceedings J

Publisher

iet

ISSN

0267-3932

Type

jour

Filename

197394