Interplay between bit pattern randomness, delayed Raman response, and cross phase modulation in massive multichannel optical fiber transmission lines

Peleg, Avner; Chung, Yeojin

doi:10.1016/j.optcom.2011.10.041

Cited by 8 publications

(14 citation statements)

References 39 publications

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“…More specifically, the good agreement between the pulse profiles obtained in numerical simulations with the single-NLS model (47) and with the full coupled-NLS model (1) shows that the stochastic linear gain-loss term of the NLS models used in Refs. [16,34,35] correctly captures the dynamics of the radiation emitted in soliton collisions.…”

Section: Discussionmentioning

confidence: 93%

“…where each soliton undergoes many collisions with solitons from all other pulse sequences [16,34,35]. The generalized model used in Refs.…”

Section: Discussionmentioning

confidence: 99%

“…The generalized model used in Refs. [16,34,35] had the form of a perturbed stochastic NLS equation with a linear gain-loss term and a stochastic (distance-dependent) linear gain-loss coefficient. The linear gain-loss term described the energy exchange of a given soliton in many collisions with solitons from all other pulse sequences.…”

Section: Discussionmentioning

confidence: 99%

“…The linear gain-loss term described the energy exchange of a given soliton in many collisions with solitons from all other pulse sequences. The distancedependent stochastic coefficient of this term described the bit-pattern randomness of the pulse sequences [16,34,35]. It was assumed in these studies that the stochastic linear gain-loss term accurately describes collision-induced radiation dynamics.…”

Section: Discussionmentioning

confidence: 99%

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Radiation dynamics in fast soliton collisions in the presence of cubic loss

Peleg

Chakraborty

2020

Physica D: Nonlinear Phenomena

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We study the dynamics of emission of radiation (small-amplitude waves) in fast collisions between two solitons of the nonlinear Schrödinger (NLS) equation in the presence of weak cubic loss. We calculate the radiation dynamics by a perturbation technique with two small parameters: the cubic loss coefficient 3 and the reciprocal of the group velocity difference 1/β. The agreement between the perturbation theory predictions and the results of numerical simulations with the full coupled-NLS propagation model is very good for large β values, and is good for intermediate β values. Additional numerical simulations with four simplified NLS models show that the differences between perturbation theory and simulations for intermediate β values are due to the effects of Kerr nonlinearity on interpulse interaction in the collision. Thus, our study demonstrates that the perturbation technique that was originally developed to study radiation dynamics in fast soliton collisions in the presence of conservative perturbations can also be employed for soliton collisions in the presence of dissipative perturbations.

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Section: Discussionmentioning

confidence: 93%

“…where each soliton undergoes many collisions with solitons from all other pulse sequences [16,34,35]. The generalized model used in Refs.…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Radiation dynamics in fast soliton collisions in the presence of cubic loss

Peleg

Chakraborty

2020

Physica D: Nonlinear Phenomena

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“…Two important mechanisms for interchannel cross talk, which have been studied in detail in previous works, are due to delayed Raman response and cubic loss. Raman-induced cross talk is an important impairment in WDM transmission lines employing silica glass fibers [9][10][11][12][13][14][15][16][17], but is also beneficially used for amplification [18,19]. Cubic loss cross talk plays a major role in error generation in multichannel silicon nanowaveguide transmission [20], but can also be employed for stable energy equalization [8].…”

Section: Introductionmentioning

confidence: 99%

Cross-talk dynamics of optical solitons in multichannel waveguide systems with a Ginzburg-Landau gain-loss profile

Peleg

Chung

2012

Phys. Rev. A

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We investigate energy exchange in fast optical soliton collisions in Kerr nonlinear waveguides with weak linear loss, cubic gain, and quintic loss, i.e., with a Ginzburg-Landau (GL) gain-loss profile. We find that the amplitude shift in a single two-soliton collision in the presence of quintic loss is quartic in the initial soliton amplitudes, and that three-soliton interaction gives a significant contribution to the amplitude shift in a three-soliton collision. Moreover, we show that collision-induced dynamics of soliton amplitudes in a two-channel waveguide system with a GL gain-loss profile is described by a Lotka-Volterra (LV) model with quadratic and quartic interaction terms. Using the LV model, we show that linearly stable transmission with equal prescribed amplitudes can be achieved by a proper choice of the time-slot width and the ratio between the cubic gain and quintic loss coefficients. The linear stability of the transmission is confirmed by the numerical solution of a perturbed system of coupled nonlinear Schrödinger equations. Further numerical simulations show that transmission in waveguides with a GL gain-loss profile is less susceptible to radiation emission effects compared with waveguides with linear gain and cubic loss.

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