Abstract
We derive rigorous conditions for the synchronization of all-optically coupled lasers. In particular, we elucidate the role of the optical coupling phases for synchronizability by systematically discussing all possible network motifs containing two lasers with delayed coupling and feedback. By these means we explain previous experimental findings. Further, we study larger networks and elaborate optimal conditions for chaos synchronization. We show that the relative phases between lasers can be used to optimize the effective coupling matrix.
Highlights
Coupled nonlinear system may exhibit a remarkable phenomenon called chaos synchronization [1, 2]
We elucidate the role of the optical coupling phases for synchronizability by systematically discussing all possible network motifs containing two lasers with delayed coupling and feedback
The synchronization of delay-coupled systems in general [6, 7, 8, 9] and in particular delay-coupled lasers [10, 11, 12, 13, 14, 15, 16, 17, 18] has been a focus of research in nonlinear dynamics during the last decades
Summary
Coupled nonlinear system may exhibit a remarkable phenomenon called chaos synchronization [1, 2]. When the lasers are synchronized, this interference can occur even if the coupling distance is much larger than the coherence length of the beams [19]. It has been demonstrated experimentally and numerically that by tuning coupling phases one can adjust the level of synchronization ranging from perfect synchronization to almost no correlation [20]. These general results are applied to all-optically coupled lasers.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
