Optical leptons
type: Item
instance of: scholarly article
title: Optical leptons
zbMATH Open document ID: 1070.35106
DOI: 10.1155/S016117120430102X
author: Lubomir M. Kovachev
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/51597
review text: Summary: We obtain optical vortices with classical orbital momentum \(\ell=1\) and spin \(j=\pm 1/2\) as exact solutions of a system of nonlinear Maxwell equations (NMEs). Two kinds of Kerr-type media, namely, those with and without linear dispersion of the electric and the magnetic susceptibility, are investigated. The electric and magnetic fields are represented as sums of circular and linear components. This allows us to reduce the NME to a set of nonlinear Dirac equations. The vortex solutions in the case of media with dispersion admit finite energy, while the solutions in the case of media without dispersion admit infinite energy. The amplitude equations are obtained from equations of nonstationary optical and magnetic response (dispersion). This includes also the optical pulses with time duration of order of and less than the time of relaxation of the media (femtosecond pulses). The possible generalization of NME to a higher number of optical components and a higher number of \(\ell\) and \(j\) is discussed.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 35L60
zbMATH DE Number: 2168692
zbMATH Keywords: Kerr-type media
zbMATH Keywords: dispersion
zbMATH Keywords: nonlinear Dirac equations
zbMATH Keywords: vortex solutions
zbMATH Keywords: femtosecond pulses
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description: scientific article; zbMATH DE number 2168692