Multichannel pulse dynamics in a stabilized Ginzburg-Landau system

Nistazakis, HE; Frantzeskakis, DJ; Atai, J; Malomed, BA; Efremidis, N; Hizanidis, K

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