Pulse propagation in a nonlinear optical fiber of parabolic index profile by direct numerical solution of the Gel'fand-Levitan integral equations

Fangos, PV; Frantzeskakis, DJ; Capsalis, CN

dc.contributor.author	Fangos, PV	en
dc.contributor.author	Frantzeskakis, DJ	en
dc.contributor.author	Capsalis, CN	en
dc.date.accessioned	2014-03-01T01:09:31Z
dc.date.available	2014-03-01T01:09:31Z
dc.date.issued	1993	en
dc.identifier.issn	02673932	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11050
dc.subject	Indexation	en
dc.subject	Integral Equation	en
dc.subject	Nonlinear Optics	en
dc.subject	Numerical Solution	en
dc.subject.other	Differential equations	en
dc.subject.other	Gel'fan-Levitan-Marchenko coupled integral equations	en
dc.subject.other	Graded index profile	en
dc.subject.other	Inverse scattering method	en
dc.subject.other	Nonlinear optical fiber pulse propagation	en
dc.subject.other	Nonlinear Schrodinger differential equation	en
dc.subject.other	Parabolic profile	en
dc.subject.other	Optics	en
dc.title	Pulse propagation in a nonlinear optical fiber of parabolic index profile by direct numerical solution of the Gel'fand-Levitan integral equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1049/ip-j.1993.0024	en
heal.identifier.secondary	http://dx.doi.org/10.1049/ip-j.1993.0024	en
heal.publicationDate	1993	en
heal.abstract	The evolution of an optical pulse in a graded-index (parabolic profile) single-mode nonlinear optical fiber is treated by means of differential equation techniques. Using 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.	en
heal.journalName	IEE proceedings. Part J, Optoelectronics	en
dc.identifier.doi	10.1049/ip-j.1993.0024	en
dc.identifier.volume	140	en
dc.identifier.issue	2	en
dc.identifier.spage	141	en
dc.identifier.epage	149	en