title: Integrable nonlinear parity-time-symmetric optical oscillator.
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.
authors.affiliation: CREOL/College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USA.
authors.forename: Absar U
authors.initials: AU
authors.lastname: Hassan
authors.affiliation: CREOL/College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USA.
authors.forename: Hossein
authors.initials: H
authors.lastname: Hodaei
authors.affiliation: CREOL/College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USA.
authors.forename: Mohammad-Ali
authors.initials: MA
authors.lastname: Miri
authors.affiliation: CREOL/College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USA.
authors.forename: Mercedeh
authors.initials: M
authors.lastname: Khajavikhan
authors.affiliation: CREOL/College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USA.
authors.forename: Demetrios N
authors.initials: DN
authors.lastname: Christodoulides