Nonlinear Parity-Time (PT) symmetric closed-form optical quadrimer waveguides: Attractor perspective

TL;DR

This paper investigates a nonlinear PT-symmetric optical quadrimer waveguide system, revealing power saturation due to inherent attractors and emphasizing the importance of initial conditions in simulations.

Contribution

It introduces a closed-form nonlinear PT-symmetric quadrimer model with attractor analysis, advancing understanding of power saturation and initial condition effects.

Findings

Power saturation behavior observed in modes

Inherent attractors confirmed in the system

Initial condition sensitivity highlighted

Abstract

We report a study on a closed-form nonlinear parity-time symmetric optical quadrimer waveguides system with a specific coupling scheme. The system yields power saturation behavior in the modes, which may be attributed to the inherent attractor in the system. A detailed analysis has been provided to confirm the attractor aspect of the system. This work also addresses a crucial issue regarding choice of initial conditions while carrying out numerical simulation for such systems.