Optical leptons
We obtain optical vortices with classical orbital momentum ℓ=1 and spin j=±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 magnet susceptibility, are investigated. The el...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120430102X |
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| author | Lubomir M. Kovachev |
| author_facet | Lubomir M. Kovachev |
| author_sort | Lubomir M. Kovachev |
| collection | DOAJ |
| description | We obtain optical vortices with classical orbital momentum
ℓ=1 and spin j=±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 magnet 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 (NDEs). The vortex solutions in the case
of media with dispersion admit finite energy, while the
solutions in 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 ℓ and j is discussed. |
| format | Article |
| id | doaj-art-33423958597f43258d013b855b8dcd52 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-33423958597f43258d013b855b8dcd522025-02-03T01:32:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004271403142210.1155/S016117120430102XOptical leptonsLubomir M. Kovachev0Institute of Electronics, Bulgarian Academy of Sciences, Sofia 1784, BulgariaWe obtain optical vortices with classical orbital momentum ℓ=1 and spin j=±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 magnet 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 (NDEs). The vortex solutions in the case of media with dispersion admit finite energy, while the solutions in 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 ℓ and j is discussed.http://dx.doi.org/10.1155/S016117120430102X |
| spellingShingle | Lubomir M. Kovachev Optical leptons International Journal of Mathematics and Mathematical Sciences |
| title | Optical leptons |
| title_full | Optical leptons |
| title_fullStr | Optical leptons |
| title_full_unstemmed | Optical leptons |
| title_short | Optical leptons |
| title_sort | optical leptons |
| url | http://dx.doi.org/10.1155/S016117120430102X |
| work_keys_str_mv | AT lubomirmkovachev opticalleptons |