Abstract:
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.
18-07-01129 а 18-07-0138 а 17-47-630420 16-47-630483 р_а
This work was supported by the Federal Agency for Scientific Organizations under agreement 007-ГЗ/Ч3363/26 (Superposition of two Gaussian beams with radial polarization), by the Russian Science Foundation under project No.17-19-01186 (Propagation of a Gaussian beam with multiple polarization singularities in an ABCD-system), and by the Russian Foundation for Basic Research under projects ## 18-07-01129, 18-07-01380, 17-47-630420, and 16-47-630483 (A Gaussian beam with multiple arbitrarily located optical vortices and A Gaussian beam with multiple polarization singularities).
Received: 07.02.2018 Accepted: 14.03.2018
Document Type:
Article
Language: Russian
Citation:
A. A. Kovalev, V. V. Kotlyar, “Fresnel and Fraunhofer diffraction of a Gaussian beam with several polarization singularities”, Computer Optics, 42:2 (2018), 179–189
\Bibitem{KovKot18}
\by A.~A.~Kovalev, V.~V.~Kotlyar
\paper Fresnel and Fraunhofer diffraction of a Gaussian beam with several polarization singularities
\jour Computer Optics
\yr 2018
\vol 42
\issue 2
\pages 179--189
\mathnet{http://mi.mathnet.ru/co492}
\crossref{https://doi.org/10.18287/2412-6179-2018-42-2-179-189}
Linking options:
https://www.mathnet.ru/eng/co492
https://www.mathnet.ru/eng/co/v42/i2/p179
This publication is cited in the following 4 articles:
A. Zh. Khachatrian, A. S. Avanesyan, V. N. Aghabekyan, A. F. Parsamyan, “The Fresnel Picture of Scattering of a Plane Wave on a Diffraction Grating”, J. Contemp. Phys., 57:3 (2022), 243
Victor V. Kotlyar, Alexey A. Kovalev, Vladislav D. Zaitsev, “Topological Charge of Light Fields with a Polarization Singularity”, Photonics, 9:5 (2022), 298
V. V. Kotlyar, A. A. Kovalev, E. S. Kozlova, A. P. Porfirev, “Spiral phase plate with multiple singularity centers”, Computer Optics, 44:6 (2020), 901–908
S E Logunov, R V Davydov, M G Vysotsky, V I Dudkin, V Yu Rud', “Features of the construction of the registration scheme of optical images in an autonomous quantum magnetic field sensor”, J. Phys.: Conf. Ser., 1368:2 (2019), 022056