Soliton transmission under pulse position modulation in optical fibres

Silva, J. I. Da; Holz, R.; Sombra, A. S. B.

doi:10.1139/p99-042

Cited by 1 publication

(3 citation statements)

References 11 publications

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“…To conclude the analytical consideration, we note that the general condition (27) We have employed the split-step Fourier algorithm to solve Eqs. (1)-(4) numerically, using, as initial conditions, a superposition of separated waveforms (9) and (10), which yield exact SP solutions for the two decoupled subsystems (1), (3) and (2), (4). Thus, the following initial configurations are used:…”

Section: Collision-induced Position Shifts Of the Pulsesmentioning

confidence: 99%

“…where we have assumed that each channel has the same group velocity in the active and passive cores, while the relative velocity between adjacent channels is 2c, as in the above model (1)- (4).…”

Section: The Three-channel Modelmentioning

confidence: 99%

“…However, a fundamental drawback of this solution is that it is unstable, as the zero solution to the cubic CGL equation, i.e., a background on top of which the pulse is built, is unstable due to the presence of linear gain in the equation. Development of physically realistic models in which solitary pulses are fully stable is a problem of an obvious interest in its own right, and it also has profound importance for fiber-optic communications (see the book [2] and, for instance, a recent work [4]), as well as for the design of soliton-generating fiber-loop lasers [5]. In the context of optical telecommunications, an issue of fundamental significance is the development of adequate models for multi-component systems, corresponding to a wavelength-division-multiplexed (WDM) multi-channel scheme implemented in the optical fiber.…”

Section: Introductionmentioning

confidence: 99%

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Multichannel pulse dynamics in a stabilized Ginzburg-Landau system

Atai

et al. 2002

Phys. Rev. E

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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.

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Section: Collision-induced Position Shifts Of the Pulsesmentioning

confidence: 99%

Section: The Three-channel Modelmentioning

confidence: 99%