The effective index method and its application to semiconductor lasers

Jens Buus

doi:10.1109/JQE.1982.1071659

The effective index method and its application to semiconductor lasers

Jens Buus

Technical University of Denmark

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Abstract

By the effective index method a two-dimensional field problem is transformed to a problem for a one-dimensional effective waveguide. This method is applied to semiconductor lasers having a gradual lateral variation in the complex permittivity. For the special case of a parabolic variation, analytical formulas for the required gain in the center and the half width of the intensity distribution are derived. The results are compared with a numerical method and very good agreement is found except in some cases where convergence problems occur for the numerical method. This agreement is taken as evidence for the validity of results obtained using the effective index method for analysis of semiconductor laser structures.

Original language	English
Journal	I E E E Journal of Quantum Electronics
Volume	18
Issue number	7
Pages (from-to)	1083-1089
ISSN	0018-9197
DOIs	https://doi.org/10.1109/JQE.1982.1071659
Publication status	Published - 1982

Bibliographical note

Copyright: 1982 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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title = "The effective index method and its application to semiconductor lasers",

abstract = "By the effective index method a two-dimensional field problem is transformed to a problem for a one-dimensional effective waveguide. This method is applied to semiconductor lasers having a gradual lateral variation in the complex permittivity. For the special case of a parabolic variation, analytical formulas for the required gain in the center and the half width of the intensity distribution are derived. The results are compared with a numerical method and very good agreement is found except in some cases where convergence problems occur for the numerical method. This agreement is taken as evidence for the validity of results obtained using the effective index method for analysis of semiconductor laser structures.",

author = "Jens Buus",

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PY - 1982

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N2 - By the effective index method a two-dimensional field problem is transformed to a problem for a one-dimensional effective waveguide. This method is applied to semiconductor lasers having a gradual lateral variation in the complex permittivity. For the special case of a parabolic variation, analytical formulas for the required gain in the center and the half width of the intensity distribution are derived. The results are compared with a numerical method and very good agreement is found except in some cases where convergence problems occur for the numerical method. This agreement is taken as evidence for the validity of results obtained using the effective index method for analysis of semiconductor laser structures.

AB - By the effective index method a two-dimensional field problem is transformed to a problem for a one-dimensional effective waveguide. This method is applied to semiconductor lasers having a gradual lateral variation in the complex permittivity. For the special case of a parabolic variation, analytical formulas for the required gain in the center and the half width of the intensity distribution are derived. The results are compared with a numerical method and very good agreement is found except in some cases where convergence problems occur for the numerical method. This agreement is taken as evidence for the validity of results obtained using the effective index method for analysis of semiconductor laser structures.

U2 - 10.1109/JQE.1982.1071659

DO - 10.1109/JQE.1982.1071659

M3 - Journal article

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SP - 1083

EP - 1089

JO - I E E E Journal of Quantum Electronics

JF - I E E E Journal of Quantum Electronics

IS - 7

ER -

The effective index method and its application to semiconductor lasers

Abstract

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