Propagation of electromagnetic waves in nonlinear dispersive media

Capsalis, CN; Uzunoglu, NK; Frantzeskakis, DJ

dc.contributor.author	Capsalis, CN	en
dc.contributor.author	Uzunoglu, NK	en
dc.contributor.author	Frantzeskakis, DJ	en
dc.date.accessioned	2014-03-01T01:07:38Z
dc.date.available	2014-03-01T01:07:38Z
dc.date.issued	1989	en
dc.identifier.issn	0272-6343	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10083
dc.subject	Electromagnetic Waves	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Mathematical Techniques--Differential Equations	en
dc.subject.other	Optical Communication	en
dc.subject.other	Optical Fibers	en
dc.subject.other	Optics--Nonlinear	en
dc.subject.other	Waveguides, Optical	en
dc.subject.other	Inverse Scattering Method	en
dc.subject.other	N-Soliton Solution	en
dc.subject.other	Nonlinear Dispersive Media	en
dc.subject.other	Nonlinear Schrodinger Equation	en
dc.subject.other	Light	en
dc.title	Propagation of electromagnetic waves in nonlinear dispersive media	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/02726348908915239	en
heal.identifier.secondary	http://dx.doi.org/10.1080/02726348908915239	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	The propagation in a non-linear dispersive medium is analysed by using differential equation techniques. A dispersive semi-infinite space with a cubic order instantaneous non linearity, is considered. The proposed analysis is based on to transform time dependent Maxwell equations into a slowly varying envelope function differential equation. The derived partial differential equation has many similarities with the so-called Schrodinger equation but it includes an additional term arising from the first order dispersion. This non-linear equation is solved by application of the Inverse Scattering Method for the initial condition \|q(x,t=0)\| = Asechx. The N-soliton solution is developed analytically in the case of reflectionless potentials. The single and double soliton solution are derived explicitly. Numerical results presenting the pulse propagation inside the non-linear dispersive medium are also given.	en
heal.publisher	HEMISPHERE PUBL CORP	en
heal.journalName	Electromagnetics	en
dc.identifier.doi	10.1080/02726348908915239	en
dc.identifier.isi	ISI:A1989AJ37400002	en
dc.identifier.volume	9	en
dc.identifier.issue	3	en
dc.identifier.spage	273	en
dc.identifier.epage	280	en