Dynamical properties of mutually delayed coupled semiconductor lasers

摘要

We theoretically investigate the dynamical properties of a system of two semiconductor lasers 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 laser 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 laser's internal relaxation oscillations. We model this system with Lang-Kobayashi-type rate equations where we account for the mutual coupling of the two lasers 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 lasers with symmetrical coupling conditions but different frequencies, and present an analysis of the coupled laser modes (CLMs) of the system.