Enhancement of transmission quality in soliton-based optical waveguide systems by frequency dependent linear gain-loss and the Raman self-frequency shift

Abstract

We study transmission stabilization against radiation emission in soliton-based nonlinear optical waveguides with weak linear gain-loss, cubic loss, and delayed Raman response. We show by numerical simulations with perturbed nonlinear Schrödinger propagation models that transmission quality in waveguides with frequency independent linear gain and cubic loss is not improved by the presence of delayed Raman response due to the lack of an efficient mechanism for suppression of radiation emission. In contrast, we find that the presence of delayed Raman response leads to significant enhancement of transmission quality in waveguides with frequency dependent linear gain-loss and cubic loss. Enhancement of transmission quality in the latter waveguides is enabled by the separation of the soliton's spectrum from the radiation's spectrum due to the Raman-induced self-frequency shift and by efficient suppression of radiation emission due to the frequency dependent linear gain-loss. Further numerical simulations demonstrate that the enhancement of transmission quality in waveguides with frequency dependent linear gain-loss, cubic loss, and delayed Raman response is similar to transmission quality enhancement in waveguides with linear gain, cubic loss, and guiding filters with a varying central frequency.

arXiv comment51 pages, 61 figures

References in corpus (9)

• Deterministic Raman crosstalk effects in amplified wavelength division multiplexing transmission
• Multiple Breakup of Higher-Order Spatial Solitons
• Diverging probability density functions for flat-top solitary waves
• Stable long-distance propagation and on-off switching of colliding soliton sequences with dissipative interaction
• Transmission stability and Raman-induced amplitude dynamics in multichannel soliton-based optical waveguide systems
• Robust transmission stabilization and dynamic switching in broadband hybrid waveguide systems with nonlinear gain and loss
• Stabilizing soliton-based multichannel transmission with frequency dependent linear gain-loss
• Stable scalable control of soliton propagation in broadband nonlinear optical waveguides
• Large stable oscillations due to Hopf bifurcations in amplitude dynamics of colliding soliton sequences

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• Strong effects of fast collisions between pulsed optical beams in a linear medium with weak cubic loss
• Stabilizing optical solitons by frequency-dependent linear gain-loss and the collisional Raman frequency shift