Stabilizing soliton-based multichannel transmission with frequency dependent linear gain-loss

TL;DR

This paper develops a method to stabilize multichannel soliton transmission in Kerr nonlinear waveguides using frequency dependent linear gain-loss, significantly improving stability by suppressing radiative sidebands.

Contribution

It introduces a novel stabilization technique based on frequency dependent gain-loss and demonstrates its effectiveness in two- and three-channel systems.

Findings

Frequency dependent loss enhances transmission stability.

Radiative sidebands decay via a dynamic phase transition.

Stable oscillations of soliton amplitudes observed.

Abstract

We report several major theoretical steps towards realizing stable long-distance multichannel soliton transmission in Kerr nonlinear waveguide loops. We find that transmission destabilization in a single waveguide is caused by resonant formation of radiative sidebands and investigate the possibility to increase transmission stability by optimization with respect to the Kerr nonlinearity coefficient $\gamma$. Moreover, we develop a general method for transmission stabilization, based on frequency dependent linear gain-loss in Kerr nonlinear waveguide couplers, and implement it in two-channel and three-channel transmission. We show that the introduction of frequency dependent loss leads to significant enhancement of transmission stability even for non-optimal $\gamma$ values via decay of radiative sidebands, which takes place as a dynamic phase transition. For waveguide couplers with frequency dependent linear gain-loss, we observe stable oscillations of soliton amplitudes due to decay and regeneration of the radiative sidebands.