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Multichannel pulse dynamics in a stabilized Ginzburg-Landau system

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dc.contributor.author Nistazakis, HE en
dc.contributor.author Frantzeskakis, DJ en
dc.contributor.author Atai, J en
dc.contributor.author Malomed, BA en
dc.contributor.author Efremidis, N en
dc.contributor.author Hizanidis, K en
dc.date.accessioned 2014-03-01T01:18:04Z
dc.date.available 2014-03-01T01:18:04Z
dc.date.issued 2002 en
dc.identifier.issn 1063-651X en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/14784
dc.subject Critical Value en
dc.subject Direct Numerical Simulation en
dc.subject Group Velocity en
dc.subject Nonlinear Fiber Optics en
dc.subject Perturbation Theory en
dc.subject Wavelength Division Multiplex en
dc.subject ginzburg landau en
dc.subject Group Velocity Mismatch en
dc.subject.classification Physics, Fluids & Plasmas en
dc.subject.classification Physics, Mathematical en
dc.subject.other Computer simulation en
dc.subject.other Fiber optics en
dc.subject.other Linear equations en
dc.subject.other Mathematical models en
dc.subject.other Nonlinear equations en
dc.subject.other Nonlinear optics en
dc.subject.other Optical fibers en
dc.subject.other Perturbation techniques en
dc.subject.other Wavelength division multiplexing en
dc.subject.other Ginzburg-Landau system en
dc.subject.other Linear dissipative equation en
dc.subject.other Multichannel pulse dynamics en
dc.subject.other Nonlinear fiber optics en
dc.subject.other Solitary pulses (SP) en
dc.subject.other Optical communication en
dc.title Multichannel pulse dynamics in a stabilized Ginzburg-Landau system en
heal.type journalArticle en
heal.identifier.primary 10.1103/PhysRevE.65.036605 en
heal.identifier.secondary 036605 en
heal.identifier.secondary http://dx.doi.org/10.1103/PhysRevE.65.036605 en
heal.language English en
heal.publicationDate 2002 en
heal.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. © 2002 The American Physical Society. en
heal.publisher AMERICAN PHYSICAL SOC en
heal.journalName Physical Review E - Statistical, Nonlinear, and Soft Matter Physics en
dc.identifier.doi 10.1103/PhysRevE.65.036605 en
dc.identifier.isi ISI:000174549000046 en
dc.identifier.volume 65 en
dc.identifier.issue 3 en
dc.identifier.spage 036605/1 en
dc.identifier.epage 036605/12 en


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