Stable scalable control of soliton propagation in broadband nonlinear optical waveguides

TL;DR

This paper introduces a scalable method for stabilizing and switching multiple soliton sequences in broadband nonlinear optical waveguides, using a predator-prey model to predict dynamics and ensure robust transmission over long distances.

Contribution

The authors develop a novel predator-prey model for N-sequence soliton dynamics and demonstrate its effectiveness in achieving stable, scalable control in broadband nonlinear optical waveguides.

Findings

Excellent agreement between model predictions and simulations

Stable transmission over longer distances than previous systems

Successful demonstration of multi-sequence switching events

Abstract

We develop a method for achieving scalable transmission stabilization and switching of $N$ colliding soliton sequences in optical waveguides with broadband delayed Raman response and narrowband nonlinear gain-loss. We show that dynamics of soliton amplitudes in $N$-sequence transmission is described by a generalized $N$-dimensional predator-prey model. Stability and bifurcation analysis for the predator-prey model are used to obtain simple conditions on the physical parameters for robust transmission stabilization as well as on-off and off-on switching of $M$ out of $N$ soliton sequences. Numerical simulations for single-waveguide transmission with a system of $N$ coupled nonlinear Schr\"odinger equations with $2 \le N \le 4$ show excellent agreement with the predator-prey model's predictions and stable propagation over significantly larger distances compared with other broadband nonlinear single-waveguide systems. Moreover, stable on-off and off-on switching of multiple soliton sequences and stable multiple transmission switching events are demonstrated by the simulations. We discuss the reasons for the robustness and scalability of transmission stabilization and switching in waveguides with broadband delayed Raman response and narrowband nonlinear gain-loss, and explain their advantages compared with other broadband nonlinear waveguides.