Threshold condition of DFB semiconductor lasers by the local-normal-mode transfer-matrix method: correspondence to the coupled-wave method

Author

Makino, Toshihiko

Author_Institution

Bell-Northern Res., Ottawa, Ont., Canada

Volume

12

Issue

12

fYear

1994

fDate

12/1/1994 12:00:00 AM

Firstpage

2092

Lastpage

2099

Abstract

An analytical expression for the threshold condition of DFB semiconductor lasers is derived based on the local-normal-mode transfer-matrix method (TMM). The threshold condition is expressed in terms of an equivalent reflection coefficient of a DFB laser structure and a Bloch-wave propagation constant. It is shown that the TMM threshold condition can reproduce the one which is derived by the coupled-wave method (CWM) under certain conditions. It is also shown that the CWM can predict very accurately the spatially averaged values of the threshold modal gain and the detuning frequency which are obtained by the TMM if the coupling coefficient in the CWM is replaced by the TMM coupling coefficient

Keywords

distributed feedback lasers; laser modes; laser theory; light reflection; optical couplers; semiconductor lasers; transfer function matrices; Bloch-wave propagation constant; DFB laser structure; DFB semiconductor lasers; TMM threshold condition; analytical expression; coupled-wave method; detuning frequency; equivalent reflection coefficient; local-normal-mode transfer-matrix method; threshold condition; threshold modal gain; Fiber lasers; Frequency; Laser modes; Laser theory; Optical coupling; Optical reflection; Propagation constant; Quantum well lasers; Semiconductor lasers; Transmission line matrix methods;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.350622

Filename

350622