NDLI: Partial differential rate equations for semiconductor lasers

Content Provider	IEEE Xplore Digital Library
Author	Kent, A.J. D'Alessandro, G. McInerney, J.G.
Copyright Year	1998
Description	Author affiliation: Dept. of Phys., Nat. Univ. of Ireland, Ireland (Kent, A.J.)
Abstract	The numerical integration of a field, polarization, and carrier density with transverse and longitudinal dependence for realistic semiconductor laser parameters is extremely difficult. To get around this problem, we use an approach similar to that outlined in D'Alessandro et al. (1996) to systematically remove the fast time scale from the problem and reduce the system to a new set of rate equations. We have applied this technique of adiabatic elimination to a semiconductor laser model to obtain a new set of rate equations. We have shown that the new equations are a order of magnitude faster to integrate numerically and, at the same time, the evolution of the field and carrier density is extremely close to that of the original model. The price to be paid is that the resultant equations are rather complicated. Close to threshold, however, they resemble the standard rate equations with an added set of spatial derivatives that take into account diffraction, propagation, and the different response of the medium to the different frequency components of the electric field.
Starting Page	235
Ending Page	236
File Size	307553
Page Count	2
File Format	PDF
ISBN	1557523390
DOI	10.1109/CLEO.1998.676104
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-05-03
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Optical Society of America
Subject Keyword	Laser theory Semiconductor lasers Partial differential equations Differential equations Frequency Steady-state Pulse modulation Current density Optical pulse generation Electrons
Content Type	Text
Resource Type	Article

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