Reductive perturbation analysis of short pulse propagation in a nonlinear dielectric slab: The role of material dispersion in bright-to-dark soliton transitions

Hizanidis, Kyriakos; Frantzeskakis Demetrios, J

dc.contributor.author	Hizanidis, Kyriakos	en
dc.contributor.author	Frantzeskakis Demetrios, J	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	0018-9197	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11055
dc.subject	Evolution Equation	en
dc.subject	Indexation	en
dc.subject	Perturbation Analysis	en
dc.subject	Perturbation Method	en
dc.subject	Soliton Solution	en
dc.subject	Single Mode	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Physics, Applied	en
dc.subject.other	Electromagnetic dispersion	en
dc.subject.other	Laser pulses	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Nonlinear optics	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Refractive index	en
dc.subject.other	Bright to dark soliton transitions	en
dc.subject.other	Evolution equations	en
dc.subject.other	Lossless nonlinear dielectric slab	en
dc.subject.other	Material dispersion	en
dc.subject.other	Nonlinear Schrodinger equation	en
dc.subject.other	Reductive perturbation method (RPM)	en
dc.subject.other	Dielectric waveguides	en
dc.title	Reductive perturbation analysis of short pulse propagation in a nonlinear dielectric slab: The role of material dispersion in bright-to-dark soliton transitions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/3.199270	en
heal.identifier.secondary	http://dx.doi.org/10.1109/3.199270	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	The pulse propagation in a lossless nonlinear dielectric slab of parabolic index profile with material dispersion is analyzed with the reductive perturbation method. The cases of temporally and spatially short optical pulses, with respect to the respective effectiveness of the nonlinearity, are both considered. The evolution equations are given explicitly for the practical single mode case. Envelope solitons are obtained through the nonlinear Schroedinger equation which results in the third order of the perturbation scheme. The lower-order soliton solutions are derived analytically along with the conditions for sustaining bright or dark solitons (the latter cannot be excited if resonance effects in the material dispersion are absent). Numerical results are given for typical values of the parameters involved. The required optical carrier frequencies for bright-to-dark soliton transitions are also found.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Journal of Quantum Electronics	en
dc.identifier.doi	10.1109/3.199270	en
dc.identifier.isi	ISI:A1993KG45400032	en
dc.identifier.volume	29	en
dc.identifier.issue	1	en
dc.identifier.spage	286	en
dc.identifier.epage	295	en