Integrable nonlinear parity-time symmetric optical oscillator

TL;DR

This paper analytically investigates the nonlinear dynamics of a parity-time symmetric optical microring system, revealing integrability and regimes of oscillatory behavior influenced by gain and loss saturation effects.

Contribution

It introduces a new integrable nonlinear model of a parity-time symmetric optical oscillator considering gain and loss saturation effects, with analysis of its dynamic regimes.

Findings

Existence of two oscillatory regimes and frequency locking.

System transitions from symmetric to broken parity-time phase.

Explicit conservation laws in the Stokes domain.

Abstract

The nonlinear dynamics of a balanced parity-time symmetric optical microring arrangement are analytically investigated. By considering gain and loss saturation effects, the pertinent conservation laws are explicitly obtained in the Stokes domain-thus establishing integrability. Our analysis indicates the existence of two regimes of oscillatory dynamics and frequency locking, both of which are analogous to those expected in linear parity-time symmetric systems. Unlike other saturable parity time symmetric systems considered before, the model studied in this work first operates in the symmetric regime and then enters the broken parity-time phase.