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.

6 pages, 5 figures, accepted for publication

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Cited by in corpus (5)

• Enhanced stability, bistability, and exceptional points in saturable active photonic couplers
• Statistical PT-symmetric lasing in an optical fiber network
• PT-symmetric spectral singularity and negative frequency resonance
• Integrability and trajectory confinement in $\mathcal{P}\mathcal{T}$-symmetric waveguide arrays
• Controlling of blow-up responses by a nonlinear $\mathcal{P}\mathcal{T}$ symmetric coupling