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 Computer Optics, 2019, Volume 43, Issue 4, Pages 517–527 (Mi co672)

OPTO-IT

Shaping and processing the vortex spectra of singular beams with anomalous orbital angular momentum

A. V. Volyar, M. V. Bretsko, Ya. E. Akimova, Yu. A. Egorov

Physics and Technology Institute of V.I. Vernadsky Crimean Federal University, Academician Vernadsky 4, 295007, Republic of Crimea, Simferopol, Russia

Abstract: The article examines physical mechanisms responsible for shaping the vortex avalanche induced by a weak perturbation of the holographic lattice of a combined vortex beam. For this, we have developed a new technique for measuring the degenerate spectra of optical vortices and orbital angular momentum of combined singular beams. The technique is based on measuring the intensity moments of higher orders of a beam containing vortices with both positive and negative topological charges. The appropriate choice of the mode amplitudes in the combined beam enables us to form orbital angular momentum anomalous spectral regions in the form of resonance dips and bursts. Since the intensity moments of a vortex mode with positive and negative topological charges are the same (the moments are degenerate) for an axially symmetric beam, the measurements are carried out in the plane of the double focus of a cylindrical lens. The calibration measurements show that the experimental error is not higher than 4.5 %. We also reveal that the dips and bursts in the orbital angular momentum spectrum are caused by the vortex avalanche induced by weak perturbations of the holographic grating relief responsible for the beam shaping. The appearance of the orbital angular momentum dips or bursts is controlled by the relation between the energy fluxes in the vortex avalanche with positive or negative topological charges.

Keywords: diffractive optics, image processing, optical vortices, orbital angular momentum, moments of intensity.

 Funding Agency Grant Number Russian Foundation for Basic Research 19-29-01233 Kazan' Federal University ÂÃ24/2018 The work was funded by the Russian Foundation for Basic Research under RFBR grant No. 19-29-01233 and under grant ÂÃ24/2018, "V.I. Vernadsky Crimean Federal University Development Program in 2015 – 2024".

DOI: https://doi.org/10.18287/2412-6179-2019-43-4-517-527

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Accepted:11.06.2019

Citation: A. V. Volyar, M. V. Bretsko, Ya. E. Akimova, Yu. A. Egorov, “Shaping and processing the vortex spectra of singular beams with anomalous orbital angular momentum”, Computer Optics, 43:4 (2019), 517–527

Citation in format AMSBIB
\Bibitem{VolBreAki19} \by A.~V.~Volyar, M.~V.~Bretsko, Ya.~E.~Akimova, Yu.~A.~Egorov \paper Shaping and processing the vortex spectra of singular beams with anomalous orbital angular momentum \jour Computer Optics \yr 2019 \vol 43 \issue 4 \pages 517--527 \mathnet{http://mi.mathnet.ru/co672} \crossref{https://doi.org/10.18287/2412-6179-2019-43-4-517-527}