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
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.
orbital angular momentum, optical vortex, Gaussian beam, elliptic optical vortex.
|Russian Science Foundation
|The work was funded by the Russian Science Foundation under project #17-19-01186.
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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
\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
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