Onset of Identical Synchronization in the Spatial Evolution of Optical Power in a Waveguide Coupler

TL;DR

This study explores how Kerr nonlinearity and coupling strength influence the synchronization of optical power in a six-waveguide system, revealing that nonlinearity can disrupt synchronization while strong coupling can restore it.

Contribution

It provides a detailed analysis of the interplay between Kerr nonlinearity and coupling in waveguide systems, highlighting their roles in synchronization dynamics.

Findings

Low Kerr nonlinearity leads to synchronized optical power evolution.

High Kerr nonlinearity causes independent power evolution in waveguides.

Strong coupling can restore synchronization despite high nonlinearity.

Abstract

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, evolution of optical power shows synchronization behavior. But when we increased the strength of Kerr nonlinearity, we discovered that spatial evolution of optical power in all waveguides shows 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 plays the role of an antagonist and restores synchronization in the model.