Regular and chaotic dynamics of periodically amplified picosecond solitons

Kominis, Y; Hizanidis, K

dc.contributor.author	Kominis, Y	en
dc.contributor.author	Hizanidis, K	en
dc.date.accessioned	2014-03-01T01:18:17Z
dc.date.available	2014-03-01T01:18:17Z
dc.date.issued	2002	en
dc.identifier.issn	0740-3224	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14919
dc.subject	Chaotic Dynamics	en
dc.subject.classification	Optics	en
dc.subject.other	Amplification	en
dc.subject.other	Chaos theory	en
dc.subject.other	Integration	en
dc.subject.other	Oscillations	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Variational techniques	en
dc.subject.other	Chaotic layers	en
dc.subject.other	Solitons	en
dc.title	Regular and chaotic dynamics of periodically amplified picosecond solitons	en
heal.type	journalArticle	en
heal.identifier.primary	10.1364/JOSAB.19.001746	en
heal.identifier.secondary	http://dx.doi.org/10.1364/JOSAB.19.001746	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	Chirped-pulse propagation under periodic amplification is considered on the basis of the variational method, and the resulting pulse-shape chaotic oscillations are studied. The system of equations governing the evolution of the parameter functions is nonintegrable and is solved by the canonical perturbation method and the construction of local approximate invariants embracing all the essential features of the phase-space dynamics. The latter provide useful guidelines for choosing the appropriate launching-pulse width and chirp for stable propagation for each specific transmission-link configuration. This fact is supported by comparison of the analytic results with the respective numerical ones of the exact dynamical system obtained by the variational method and by the direct integration of the nonlinear Schrodinger equation as well. The structure of the chaotic layer between the two distinct modes of behavior of a propagating pulse, namely, breathing and spreading/decaying, is also investigated qualitatively by utilizing Melnikov's method. Examples from technologically realistic configurations are given for 4-14-ps pulses and for amplification periods of 40-100 km. (C) 2002 Optical Society of America.	en
heal.publisher	OPTICAL SOC AMER	en
heal.journalName	Journal of the Optical Society of America B: Optical Physics	en
dc.identifier.doi	10.1364/JOSAB.19.001746	en
dc.identifier.isi	ISI:000177430100002	en
dc.identifier.volume	19	en
dc.identifier.issue	8	en
dc.identifier.spage	1746	en
dc.identifier.epage	1758	en