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

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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


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