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Computer Optics, 2019, Volume 43, Issue 5, Pages 735–740
DOI: https://doi.org/10.18287/2412-6179-2019-43-5-735-740
(Mi co697)
 

This article is cited in 1 scientific paper (total in 1 paper)

OPTO-IT

Asymmetric hypergeometric laser beams

V. V. Kotlyarab, A. A. Kovalevba, E. G. Abramochkinc

a IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia
b Samara National Research University, Moskovskoye Shosse 34, 443086, Samara, Russia
c Samara Branch of P.N. Lebedev Physical Institute of Russian Academy of Sciences, Samara, Russia
Full-text PDF (889 kB) Citations (1)
References:
Abstract: Here we study asymmetric Kummer beams (aK-beams) with their scalar complex amplitude being proportional to the Kummer function (a degenerate hypergeometric function). These beams are an exact solution of the paraxial propagation equation (Schrödinger-type equation) and obtained from the conventional symmetric hypergeometric beams by a complex shift of the transverse coordinates. On propagation, the aK-beams change their intensity weakly and rotate around the optical axis. These beams are an example of vortex laser beams with a fractional orbital angular momentum (OAM), which depends on four parameters: the vortex topological charge, the shift magnitude, the logarithmic axicon parameter and the degree of the radial factor. Changing these parameters, it is possible to control the beam OAM, either continuously increasing or decreasing it.
Keywords: optical vortex, asymmetric laser beam, Kummer function, hypergeometric function, logarithmical axicon, orbital angular momentum.
Funding agency Grant number
Russian Science Foundation 18-19-00595
Russian Foundation for Basic Research 18-29-20003-ìê
Ministry of Science and Higher Education of the Russian Federation 007-ÃÇ/×3363/26
The work was partly funded by the Russian Science Foundation under grant #18-19-00595 ("Shifted Kummer beams"), the Russian Foundation for Basic Research under grant # 18-29-20003 ("Orbital angular momentum of the asymmetrical Kummer beam"), and the RF Ministry of Science and Higher Education within a state contract with the "Crystallography and Photonics" Research Center of the RAS under agreement 007-ÃÇ/×3363/26 ("Numerical simulation").
Received: 02.07.2019
Accepted: 10.09.2019
Document Type: Article
Language: Russian
Citation: V. V. Kotlyar, A. A. Kovalev, E. G. Abramochkin, “Asymmetric hypergeometric laser beams”, Computer Optics, 43:5 (2019), 735–740
Citation in format AMSBIB
\Bibitem{KotKovAbr19}
\by V.~V.~Kotlyar, A.~A.~Kovalev, E.~G.~Abramochkin
\paper Asymmetric hypergeometric laser beams
\jour Computer Optics
\yr 2019
\vol 43
\issue 5
\pages 735--740
\mathnet{http://mi.mathnet.ru/co697}
\crossref{https://doi.org/10.18287/2412-6179-2019-43-5-735-740}
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  • https://www.mathnet.ru/eng/co697
  • https://www.mathnet.ru/eng/co/v43/i5/p735
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Computer Optics
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    References:27
     
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