Title :
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
fDate :
12/1/1994 12:00:00 AM
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;
Journal_Title :
Lightwave Technology, Journal of
