We theoretically investigate the dynamical properties of a system of two semiconductor lasers (SLs) that are mutually coupled via their optical fields. An intrinsic feature of the coupling is its time delay which generically arises from the finite propagation time of the light form one SL to the other. In our system the coupling time is in the sub-ns range, which is of the same order of magnitude as the period of SL's internal relaxation oscillations. We model this system with Lang-Kobayashi-type rate equations where we account for the mutual coupling of the two SLs by a delay term. The resulting set of nonlinear delay differential equations, is analyzed by using recently developed numerical continuation. We consider the case of two nearly identical SLs with symmetrical coupling conditions but different frequencies, and present an analysis of the coupled laser modes (CLMs) of the system.
This paper was later published in Semiconductor Lasers and Laser Dynamics, edited by D. Lenstra, G. Morthier, T. Erneux, M. Pessa, Proc. of SPIE 5452 (SPIE, Bellingham, WA, 2004), 352-361. and is made available as an electronic reprint (preprint) with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper
- delay differential equations, mutually coupled lasers, numerical continuation