PULSE-PROPAGATION IN A NONLINEAR-OPTICAL FIBER OF PARABOLIC INDEX PROFILE BY DIRECT NUMERICAL-SOLUTION OF THE GELFAND-LEVITAN INTEGRAL-EQUATIONS

FRANGOS, PV; FRANTZESKAKIS, DJ; CAPSALIS, CN

dc.contributor.author	FRANGOS, PV	en
dc.contributor.author	FRANTZESKAKIS, DJ	en
dc.contributor.author	CAPSALIS, CN	en
dc.date.accessioned	2014-03-01T01:42:15Z
dc.date.available	2014-03-01T01:42:15Z
dc.date.issued	1993	en
dc.identifier.issn	0267-3932	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23728
dc.subject	GELFAND-LEVITAN INTEGRAL EQUATIONS	en
dc.subject	OPTICAL FIBERS	en
dc.subject	PULSE PROPAGATION	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Optics	en
dc.subject.classification	Telecommunications	en
dc.subject.other	INVERSE SCATTERING PROBLEM	en
dc.subject.other	FIBERS	en
dc.title	PULSE-PROPAGATION IN A NONLINEAR-OPTICAL FIBER OF PARABOLIC INDEX PROFILE BY DIRECT NUMERICAL-SOLUTION OF THE GELFAND-LEVITAN INTEGRAL-EQUATIONS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	The evolution of an optical pulse in a graded-index (parabolic profile) single-mode nonlinear optical fibre is treated by means of differential equation techniques. Using a slowly varying envelope approximation and an averaging method over the transverse direction, a differential equation of the nonlinear Schrodinger type is obtained for the unknown envelope function of the electric field. The inverse scattering method is then applied, leading to the equivalent system of Gel'fand-Levitan-Marchenko coupled integral equations. A new iterative solution to these equations is presented. As an example, numerical results for a hyperbolic secant initial pulse profile of variable amplitude are obtained and the behaviour of both the soliton and the radiation part of the solution is examined. Finally, in the special case of reflectionless potentials, the well known analytical single and double solitons are recovered.	en
heal.publisher	IEE-INST ELEC ENG	en
heal.journalName	IEE PROCEEDINGS-J OPTOELECTRONICS	en
dc.identifier.isi	ISI:A1993LF60500008	en
dc.identifier.volume	140	en
dc.identifier.issue	2	en
dc.identifier.spage	141	en
dc.identifier.epage	149	en