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 Computer Optics, 2017, Volume 41, Issue 3, Pages 330–337 (Mi co390)

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Orbital angular momentum of an elliptic optical vortex embedded into the Gaussian beam

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

a Samara National Research University, Samara, Russia
b Image Processing Systems Institute of the RAS - Branch of the FSRC "Crystallography and Photonics" RAS, Samara, Russia

Abstract: We consider an elliptic optical vortex embedded into a Gaussian beam. For such a beam, explicit closed-form expressions are derived for the complex amplitude and the normalized orbital angular momentum (OAM). It is shown that the elliptic Gaussian vortex (EGV) has a fractional OAM. The maximal OAM value equal to the vortex topological charge $n$ is achieved at zero ellipticity of the vortex. The major axis of the intensity ellipse in the beam cross section rotates in propagation, turning by a 90-degree angle from the initial plane to the focal plane of a spherical lens. There are n intensity nulls on the major axis of the EGV intensity ellipse. The distance between the nulls varies during the beam propagation and with changing degree of ellipticity. At a fixed degree of ellipticity, the distance between the intensity nulls is maximal in the focal plane. At zero ellipticity, all nulls are "gathering" into a single on-axis n-times degenerate intensity null. The experimental results are consistent with the theory.

Keywords: orbital angular momentum, optical vortex, Gaussian beam, elliptic optical vortex.

 Funding Agency Grant Number Russian Science Foundation 17-19-01186 The work was funded by the Russian Science Foundation under project #17-19-01186.

DOI: https://doi.org/10.18287/2412-6179-2017-41-3-330-337

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Accepted:10.05.2017

Citation: V. V. Kotlyar, A. A. Kovalev, A. P. Porfirev, “Orbital angular momentum of an elliptic optical vortex embedded into the Gaussian beam”, Computer Optics, 41:3 (2017), 330–337

Citation in format AMSBIB
\Bibitem{KotKovPor17} \by V.~V.~Kotlyar, A.~A.~Kovalev, A.~P.~Porfirev \paper Orbital angular momentum of an elliptic optical vortex embedded into the Gaussian beam \jour Computer Optics \yr 2017 \vol 41 \issue 3 \pages 330--337 \mathnet{http://mi.mathnet.ru/co390} \crossref{https://doi.org/10.18287/2412-6179-2017-41-3-330-337}