ANALYSIS OF THE STABILITY OF SEMICONDUCTOR QUANTUM DOT LASERS UNDER OPTOELECTRONIC FEEDBACK

Abstract

Studying the dynamics of semiconductor lasers (SLs) is crucial for advancing a wide range of optical technologies. SLs exhibit rich dynamical phenomena, and these behaviors can be harnessed for many novel applications. The dynamical behavior of quantum dot (QD) SLs with optoelectronic feedback (OEFB) have been studied theoretically.  After a series of mathematical operations, they were converted into dimensionless equations. Further, after analysis these equations analytically. The results show if the values of (  are positive, the model contains two equilibrium points (boundary , interior ). The stability of interior equilibrium is discuss. Moreover the non-delayed system is generalized by adding the feed time delay. The analysis of the generalized model (delayed model), show that the stability of the point  is affected by the value of . Further the trajectories of the system solutions take periodic paths, where the system has a bifurcation of the Hopf type or a limit cycle affected by the value of .