Transmission stability and Raman-induced amplitude dynamics in multichannel soliton-based optical waveguide systems

Abstract

We study transmission stability and dynamics of pulse amplitudes in $N$-channel soliton-based optical waveguide systems, taking into account second-order dispersion, Kerr nonlinearity, delayed Raman response, and frequency dependent linear gain-loss. We carry out numerical simulations with systems of $N$ coupled nonlinear Schrödinger (NLS) equations and compare the results with the predictions of a simplified predator-prey model for Raman-induced amplitude dynamics. Coupled-NLS simulations for single-fiber transmission with $2\le N\le 4$ frequency channels show stable oscillatory dynamics of soliton amplitudes at short-to-intermediate distances, in excellent agreement with the predator-prey model's predictions. However, at larger distances, we observe transmission destabilization due to resonant formation of radiative sidebands, which is caused by Kerr nonlinearity. The presence of linear gain-loss in a single fiber leads to a limited increase in transmission stability. Significantly stronger enhancement of transmission stability is achieved in a nonlinear $N$-waveguide coupler due to efficient suppression of radiative sideband generation by the linear gain-loss. As a result, the distances along which stable Raman-induced dynamics of soliton amplitudes is observed are significantly larger in the waveguide coupler system compared with the single-fiber system.

47 pages, 12 figures

References in corpus (4)

• Monte Carlo simulations of pulse propagation in massive multichannel optical fiber communication systems
• Intermittent dynamics, strong correlations, and bit-error-rate in multichannel optical fiber communication systems
• Stable long-distance propagation and on-off switching of colliding soliton sequences with dissipative interaction
• Stabilizing soliton-based multichannel transmission with frequency dependent linear gain-loss

Cited by in corpus (9)

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• Enhancement of transmission quality in soliton-based optical waveguide systems by frequency dependent linear gain-loss and the Raman self-frequency shift
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• Collision-induced amplitude dynamics of fast 2D solitons in saturable nonlinear media with weak nonlinear loss
• 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
• Fast two-pulse collisions in linear diffusion-advection systems with weak quadratic loss in spatial dimension 2