Nonlinear Optical Vector Ampliude Equations. Polarization and Vortex Solutions

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dc.creatorKovachev, Lubomir M.
dc.creatorAndersen, David R.
dc.date2002-01-14
dc.date2002-01-15
dc.date.accessioned2026-07-07T05:33:51Z
dc.date.available2026-07-07T05:33:51Z
dc.descriptionWe investigate two kind of polarization of localized optical waves in nonlinear Kerr type media, linear and combination of linear and circular. In the first case of linear polarized components we obtained the vector version of 3D+1 Nonlinear Schrödinger Equation (VNSE). It is shown that these equations admit exact vortex solutions with spin l=1. We have determined the dispersion region and the medium parameters necessary for experimental observation of these vortices. In the second case we represent the electric and magnetic fields as sum of circular and linear components. We supouse also that our nonlinear media admit linear magnetic polarization. This allows us to reduce the Maxwell's equations to a set of amplitude Nonlinear Dirac Equations (NDE). WE find two representation of the NDE- spherical and spinor. In the spherical representation we obtain exact vortex solutions with spin l-1 and in the spinor representation, exact vortex solutions with spin j=1/2.
dc.description10 pages,Latex, Proceedings of GIN (Int. Conference on Geometry,Integrability and Nonlinearity in Condensed Mather; July 15-20,2001,Bansko Bulgaria)
dc.identifierhttps://arxiv.org/abs/nlin/0201021
dc.identifierhttp://arxiv.org/abs/nlin/0201021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80147
dc.subjectPattern Formation and Solitons
dc.titleNonlinear Optical Vector Ampliude Equations. Polarization and Vortex Solutions
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