The chaotic synchronization of a distant star-type laser network with multiple optical injections

A novel multi-injection module (MIM) is introduced into a typical distant star-type laser network, which is composed of a hub semiconductor laser node (H-SLN), star semiconductor laser nodes (S-SLNs) and tens of kilometers of fiber links. The chaotic synchronization of this distant network is investigated both experimentally and theoretically. As a result of using the MIM, a significantly low correlation (about 0.2) is successfully achieved between the H-SLN and S-SLNs in different clusters. This correlation is much lower than in previously reported results. Even when the fiber length is extended to 80 kilometers a low correlation (about 0.18) between the H-SLN and S-SLNs in different clusters is also obtained. Moreover, the dependence of chaotic synchronization on the operating conditions, such as the injection power, frequency detuning, and frequency mismatch between arbitrary nodes are examined. Lastly, using a theoretical model, we discuss the broad conditions for achieving chaotic synchronization among S-SLNs in the same cluster, and analyze the effect of the MIM branch number on chaotic synchronization.