Pulse propagation in a nonlinear dielectric slab waveguide

Capsalis, CN; Papadakis, SN

dc.contributor.author	Capsalis, CN	en
dc.contributor.author	Papadakis, SN	en
dc.date.accessioned	2014-03-01T01:07:39Z
dc.date.available	2014-03-01T01:07:39Z
dc.date.issued	1989	en
dc.identifier.issn	0195-9271	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10086
dc.subject	Dielectric Function	en
dc.subject	Differential Equation	en
dc.subject	Electromagnetic Field	en
dc.subject	Indexation	en
dc.subject	Satisfiability	en
dc.subject	Wave Equation	en
dc.subject	Single Mode	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Optics	en
dc.subject.classification	Physics, Applied	en
dc.title	Pulse propagation in a nonlinear dielectric slab waveguide	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01010367	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01010367	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	The evolution of an optical pulse in a single-mode, step index dielectric slab waveguide which is characterized by an intensity dependent dielectric function in the core and cladding regions is treated by means of differential equation techniques. A cubic order non-linearity is considered. The electromagnetic field distribution in the slab waveguide region satisfies a non-linear wave equation. This field can be represented in terms of even TE guided modes with a slowly varying envelope amplitude function. Then using the well known approximation, based on the slowly varying character of the amplitude function, a non linear partial differential equation is obtained for the amplitude function. As the coefficients of this equation depend on the distance across the transverse direction X, an averaging technique over x is applied to reduce the nonlinear partial differential equation into a form that is easily transformed to the so-called non-linear Scroedinger differential equation. This equation is then attacked by means of the well known Inverse Scattering method in the case of reflection less potentials. The single and double soliton solutions are obtained explicitly for a single-mode slab waveguide. Finally numerical results are presented in the time domain. © 1989 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/BF01010367	en
dc.identifier.isi	ISI:A1989AR60900005	en
dc.identifier.volume	10	en
dc.identifier.issue	9	en
dc.identifier.spage	1089	en
dc.identifier.epage	1092	en