RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Computer Optics:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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 24/2018
The work was funded by the Russian Foundation for Basic Research under RFBR grant No. 19-29-01233 and under grant 24/2018, "V.I. Vernadsky Crimean Federal University Development Program in 2015 2024".


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

Full text: PDF file (1581 kB)
Full text: http://www.computeroptics.smr.ru/.../430401.html
References: PDF file   HTML file

Received: 28.03.2019
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}


Linking options:
  • http://mi.mathnet.ru/eng/co672
  • http://mi.mathnet.ru/eng/co/v43/i4/p517

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Computer Optics
    Number of views:
    This page:33
    Full text:13
    References:7

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020