Simulation of Self-Pulsing in Kerr-Nonlinear Coupled Ring Resonators

TL;DR

This paper introduces a numerical method to simulate the dynamic behavior of coupled Kerr nonlinear ring resonators, focusing on self-pulsing phenomena and the effects of loss and non-instantaneous response.

Contribution

A new efficient numerical formalism for modeling coupled nonlinear resonators with non-instantaneous Kerr response and loss is presented.

Findings

Demonstration of self-pulsing solutions in coupled ring resonators

Analysis of the influence of loss on resonator dynamics

Assessment of non-instantaneous Kerr response effects

Abstract

Nonlinear resonant structures consisting of coupled ring resonators can be modeled by difference-differential equations that take into account non-instantaneous Kerr response and the effect of loss. We present a simple and efficient numerical formalism for solution of the system and calculation of the time evolution. The technique is demonstrated by investigating the dynamical behavior of the coupled structure with two rings, namely, focusing on self-pulsing solutions. The influence of both, loss and non-instantaneous Kerr response, is also presented.