Fresnel and Fraunhofer diffraction of a Gaussian beam with several polarization singularities
Alongside phase singularities (optical vortices), there may be light fields with polarization singularities (PS), i.e. isolated intensity nulls with radial, azimuthal, or radial-azimuthal polarization around them. Here, we study Gaussian beams with several arbitrarily located PS. An analytic express...
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Samara National Research University
2018-04-01
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doaj-d6ffc692eb91468ba3ef18f181a0bc9f2020-11-24T21:48:24ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792018-04-0142217918910.18287/2412-6179-2018-42-2-179-189Fresnel and Fraunhofer diffraction of a Gaussian beam with several polarization singularitiesAlexey Kovalev0Victor Kotlyar1Image Processing Systems Institute оf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia, Samara National Research University, Samara, RussiaImage Processing Systems Institute оf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia, Samara National Research University, Samara, RussiaAlongside phase singularities (optical vortices), there may be light fields with polarization singularities (PS), i.e. isolated intensity nulls with radial, azimuthal, or radial-azimuthal polarization around them. Here, we study Gaussian beams with several arbitrarily located PS. An analytic expression is obtained for their complex amplitude. A partial case is studied when the PS are at the vertices of a regular polygon. If the beam has one or two PS, then these are points with radial polarization. If there are four PS, then two of the points will have azimuthal polarization. It is shown that while propagating in free space, the PS can appear only in a discrete set of planes, in contrast to the phase singularities, which exist in any transverse plane. In the case of two PS, it is shown that their polarization transforms from radial in the initial plane to azimuthal in the far field.http://www.computeroptics.smr.ru/KO/PDF/KO42-2/420201.pdfGaussian beampolarization singularityradial polarizationazimuthal polarization |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Alexey Kovalev Victor Kotlyar |
spellingShingle |
Alexey Kovalev Victor Kotlyar Fresnel and Fraunhofer diffraction of a Gaussian beam with several polarization singularities Компьютерная оптика Gaussian beam polarization singularity radial polarization azimuthal polarization |
author_facet |
Alexey Kovalev Victor Kotlyar |
author_sort |
Alexey Kovalev |
title |
Fresnel and Fraunhofer diffraction of a Gaussian beam with several polarization singularities |
title_short |
Fresnel and Fraunhofer diffraction of a Gaussian beam with several polarization singularities |
title_full |
Fresnel and Fraunhofer diffraction of a Gaussian beam with several polarization singularities |
title_fullStr |
Fresnel and Fraunhofer diffraction of a Gaussian beam with several polarization singularities |
title_full_unstemmed |
Fresnel and Fraunhofer diffraction of a Gaussian beam with several polarization singularities |
title_sort |
fresnel and fraunhofer diffraction of a gaussian beam with several polarization singularities |
publisher |
Samara National Research University |
series |
Компьютерная оптика |
issn |
0134-2452 2412-6179 |
publishDate |
2018-04-01 |
description |
Alongside phase singularities (optical vortices), there may be light fields with polarization singularities (PS), i.e. isolated intensity nulls with radial, azimuthal, or radial-azimuthal polarization around them. Here, we study Gaussian beams with several arbitrarily located PS. An analytic expression is obtained for their complex amplitude. A partial case is studied when the PS are at the vertices of a regular polygon. If the beam has one or two PS, then these are points with radial polarization. If there are four PS, then two of the points will have azimuthal polarization. It is shown that while propagating in free space, the PS can appear only in a discrete set of planes, in contrast to the phase singularities, which exist in any transverse plane. In the case of two PS, it is shown that their polarization transforms from radial in the initial plane to azimuthal in the far field. |
topic |
Gaussian beam polarization singularity radial polarization azimuthal polarization |
url |
http://www.computeroptics.smr.ru/KO/PDF/KO42-2/420201.pdf |
work_keys_str_mv |
AT alexeykovalev fresnelandfraunhoferdiffractionofagaussianbeamwithseveralpolarizationsingularities AT victorkotlyar fresnelandfraunhoferdiffractionofagaussianbeamwithseveralpolarizationsingularities |
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1725892348793061376 |