Propagation of soliton waves in nonlinear dielectric slab waveguides of parabolic index of refraction

Capsalis, CN; Frantzeskakis, DJ; Uzunoglu, NK

dc.contributor.author	Capsalis, CN	en
dc.contributor.author	Frantzeskakis, DJ	en
dc.contributor.author	Uzunoglu, NK	en
dc.date.accessioned	2014-03-01T01:07:14Z
dc.date.available	2014-03-01T01:07:14Z
dc.date.issued	1988	en
dc.identifier.issn	01959271	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9875
dc.subject	Averaging Method	en
dc.subject	Differential Equation	en
dc.subject	Electric Field	en
dc.subject	Electromagnetic Waves	en
dc.subject	Function Representation	en
dc.subject	Index of Refraction	en
dc.subject	Indexation	en
dc.subject	Linear Differential Equation	en
dc.subject	Linear Equations	en
dc.subject	Non-linear Partial Differential Equations	en
dc.subject	Soliton Solution	en
dc.subject	Inverse Scattering Method	en
dc.subject	Single Mode	en
dc.title	Propagation of soliton waves in nonlinear dielectric slab waveguides of parabolic index of refraction	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01010770	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01010770	en
heal.publicationDate	1988	en
heal.abstract	The pulse propagation in a non-linear slab waveguide of parabolic index of refraction is treated by using differential equation techniques. A graded index dielectric slab waveguide free of material dispersion with a cubic order non-linearity is considered. The electromagnetic wave inside the waveguide is described in terms of a non-linear equation. Slowly varying envelope function representation is employed to develop a non-linear partial differential equation for the unknown envelope function of the electric field. An averaging method over the transverse direction is applied to reduce the unknown envelope function non-linear differential equation into a form resembling the well known non-linear Schrödinger differential equation. This equation is solved by applying the Inverse Scattering Method. The N-soliton solution is developed and presented explicitly for the practical case of the single mode dielectric slab waveguide. Numerical results presenting single and double soliton propagation are also given. © 1988 Plenum Publishing Corporation.	en
heal.publisher	Kluwer Academic Publishers-Plenum Publishers	en
heal.journalName	International Journal of Infrared and Millimeter Waves	en
dc.identifier.doi	10.1007/BF01010770	en
dc.identifier.volume	9	en
dc.identifier.issue	11	en
dc.identifier.spage	983	en
dc.identifier.epage	1002	en