Multichannel pulse dynamics in a stabilized Ginzburg-Landau system

Abstract

We study the stability and interactions of chirped solitary pulses in a system of nonlinearly coupled cubic Ginzburg-Landau (CGL) equations with a group-velocity mismatch between them, where each CGL equation is stabilized by linearly coupling it to an additional linear dissipative equation. In the context of nonlinear fiber optics, the model describes transmission and collisions of pulses at different wavelengths in a dual-core fiber, in which the active core is furnished with bandwidth-limited gain, while the other, passive (lossy) one is necessary for stabilization of the solitary pulses. Complete and incomplete collisions of pulses in two channels in the cases of anomalous and normal dispersion in the active core are analyzed by means of perturbation theory and direct numerical simulations. It is demonstrated that the model may readily support fully stable pulses whose collisions are quasielastic, provided that the group-velocity difference between the two channels exceeds a critical value. In the case of quasielastic collisions, the temporal shift of pulses, predicted by the analytical approach, is in semiquantitative agreement with direct numerical results in the case of anomalous dispersion (in the opposite case, the perturbation theory does not apply). We also consider a simultaneous collision between pulses in three channels, concluding that this collision remains quasielastic, and the pulses remain completely stable. Thus, the model may be a starting point for the design of a stabilized wavelength-division-multiplexed transmission system.

Solitary pulses in linearly coupled Ginzburg-Landau equations

“…23 The simplest ͑two-channel͒ version of this model is based on the system of four equations, 23 The simplest ͑two-channel͒ version of this model is based on the system of four equations,…”

“…15 This article focuses on soliton-like pulses and their stability. [19][20][21][22][23][24], and the dynamics of SPs ͑which were often called "solitons" in loose terms͒ in these systems has been studied in detail. 10, the possibility of the existence of SPs in Eqs.…”

Time Jitter, Turbulence and Chromatic Dispersion in Underwater Optical Wireless Links

“…Another effect that can significantly decrease the performance of the underwater optical communication links is the chromatic dispersion. More specifically, due to the dependence of the refractive index of the seawater on the wavelength and taking into account that the typical optical pulses used in the optical communication systems cannot be monochromatic, the longitudinal pulse shape changes along its propagation, and thus the detection procedure at the receiver becomes more difficult and erroneous [28][29][30][31][32][33].…”

“…This effect results in the performance mitigation of the link, because it increases the negative influence of the scintillation effect, due to the increased intensity of the fluid turbulence and the negative affection on the systems characteristics [21][22][23][24][25][26][27].Another effect that can significantly decrease the performance of the underwater optical communication links is the chromatic dispersion. More specifically, due to the dependence of the refractive index of the seawater on the wavelength and taking into account that the typical optical pulses used in the optical communication systems cannot be monochromatic, the longitudinal pulse shape changes along its propagation, and thus the detection procedure at the receiver becomes more difficult and erroneous [28][29][30][31][32][33].In this work-for the first time and to the best of our knowledge-the simultaneous influence of turbulence, time jitter and chromatic dispersion is investigated for an UOWC link. It is assumed that the communication system uses longitudinal chirped Gaussian pulses as information carriers and that the fluid turbulence is weak.…”

Interaction dynamics of Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity

“…semilinear couplers) due to their potential applications in switching and signal processing (41)(42)(43)(44)(45)(46)(47)(48). The possibility of generating slow or quiescent BG solitons in a dual-core coupler equipped with BG is very intriguing because it may lead to novel optical devices (e.g.…”