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

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.

28 pages, 15 figures

References in corpus (2)

• Stable long-distance propagation and on-off switching of colliding soliton sequences with dissipative interaction
• Robust transmission stabilization and dynamic switching in broadband hybrid waveguide systems with nonlinear gain and loss

Cited by in corpus (9)

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• Stabilizing solitons of the cubic-quintic nonlinear Schrödinger equation by frequency-dependent linear gain-loss and delayed Raman response
• Large stable oscillations due to Hopf bifurcations in amplitude dynamics of colliding soliton sequences
• Highly controllable stabilization and switching of multiple colliding soliton sequences with generic Ginzburg-Landau gain-loss
• Stabilizing optical solitons by frequency-dependent linear gain-loss and the collisional Raman frequency shift