Onset of identical synchronization in the spatial evolution of optical power in a waveguide coupler

In this work, we investigated the spatial evolution of optical power in a closed-form optical waveguide configuration consisting of six passive waveguides and each of the waveguides exhibits equal strength of Kerr nonlinearity. We considered only nearest neighbor interaction between the waveguides. We found that in the case of low Kerr nonlinearity, spatial evolution of optical power shows identical synchronization. But when we increased the strength of Kerr nonlinearity, we discovered that spatial evolution of optical power in all waveguides exhibits independent characteristics. On the other hand, we have studied the impact of the coupling constant on the synchronization dynamics of our system. Our findings showed us that strong coupling can strengthen the collective dynamics in the presence of strong Kerr nonlinearity. From our results, we can conclude that Kerr nonlinearity in our system plays the role of disorder parameter that destroys as well as alters the synchronization behavior of evolution of optical power in the waveguides and coupling constant, on the other hand, plays the role of an antagonist and restores synchronization in the model.