Almost Perfect In-Phase and Anti-Phase Chaotic and Periodic Phase Synchronization in Large Arrays of Diode Lasers

We studied phase synchronization in large arrays of weakly coupled single mode semiconductor laser diodes [1,2]. We show that if the coupling topology is chosen appropriately, the laser array exhibits robust and almost perfect phase synchrony (including chaotic and non-chaotic phase synchrony). Furthermore, one can define coupling topologies that lead to chaotic anti-phase synchronization. When diodes are coupled via a decayed non-local coupling scheme, the leading spatial mode can be stable. This leads to an almost-perfect phase synchronous state where the phases are synchronized, even though the system is not being exactly on the synchronization manifold. This almost-perfect phase synchronous state is robust to noise and frequency and phase disorder and can be realized under periodic (fixed-intensity limit cycle) continuous-wave and chaotic behavior.

N. Nair, E. Bochove, and Y. Braiman, Optics Express 26, 20040 (2018).
N. Nair, E. Bochove, and Y. Braiman, Optics Communications 430, 104 (2019).