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Computer Optics, 2018, Volume 42, Issue 5, Pages 727–735
DOI: https://doi.org/10.18287/2412-6179-2018-42-5-727-735 (Mi co554) 		 
This article is cited in 2 scientific papers (total in 2 papers)

OPTO-IT

A variety of Fourier-invariant Gaussian beams

V. V. Kotlyarab, A. A. Kovalevab, A. P. Porfirevab

a Samara National Research University, Moskovskoye shosse 34, 443086, Samara, Russia
b IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia
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DOI: https://doi.org/10.18287/2412-6179-2018-42-5-727-735
Abstract: A two-parameter family of astigmatic elliptical Gaussian (AEG) optical vortices is found, which are free space modes up to scale and rotation. We calculate the total normalized orbital angular momentum of AEG vortices, which can be integer, fractional and zero, and which is equal to the algebraic sum of two terms corresponding to the contribution of the vortex and astigmatic components of the light field. In any transverse plane, such a beam has an isolated $n$-fold degenerate intensity null on the optical axis (an optical vortex) embedded into an elliptical Gaussian beam. In addition to the quadratic elliptical phase, the beam has a phase of a cylindrical lens rotated by an angle of 45 degrees relative to the principal axes of the Gaussian beam intensity ellipse.
Keywords: elliptic Gaussian vortex, cylindrical lens, space mode, orbital angular momentum.
Funding agency Grant number
Russian Science Foundation 17-19-01186
Russian Foundation for Basic Research 18-29-20003
Russian Academy of Sciences - Federal Agency for Scientific Organizations 007-ÃÇ/×3363/26
This work was partly funded by the Russian Science Foundation under project No. 17-19-01186 (“The beam amplitude at a distance of double focal length from the cylindrical lens” and “Focusing of elliptical optical vortices by a cylindrical lens”), by the Russian Foundation for Basic Research under project No. 18-29-20003 (“Family of astigmatic elliptical Gaussian vortices”) and by Ministry of Science and Higher Education within the State assignment FSRC “Crystallography and Photonics” RAS under agreement 007-ÃÇ/×3363/26 (“Simulation results”).
Received: 02.07.2018
Accepted: 10.09.2018
Document Type: Article
Language: Russian
Citation: V. V. Kotlyar, A. A. Kovalev, A. P. Porfirev, “A variety of Fourier-invariant Gaussian beams”, Computer Optics, 42:5 (2018), 727–735
Citation in format AMSBIB
\Bibitem{KotKovPor18}
\by V.~V.~Kotlyar, A.~A.~Kovalev, A.~P.~Porfirev
\paper A variety of Fourier-invariant Gaussian beams
\jour Computer Optics
\yr 2018
\vol 42
\issue 5
\pages 727--735
\mathnet{http://mi.mathnet.ru/co554}
\crossref{https://doi.org/10.18287/2412-6179-2018-42-5-727-735}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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