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Computer Optics, 2018, Volume 42, Issue 1, Pages 5–12 (Mi co472)  

OPTO-IT

Angular momentum density of a circularly polarized paraxial optical vortex

V. V. Kotlyarab, A. A. Kovalevab

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 obtain general analytic expressions for the angular momentum density of a vectorial circularly polarized paraxial optical vortex. It is shown that for any vortex field with the rotational symmetry and circular polarization, an effect of the “angular tractor” takes place, which means that the flow of light energy rotates around the optical axis clockwise or counter-clockwise at different radii in the beam cross section. It is also shown that on the circles of these radii in the beam cross section, the axial component of the angular momentum density of the vortex light field changes its sign. Thus, microparticles trapped in the vortex beam at different radii will rotate either clockwise or counterclockwise.

Keywords: paraxial optical vortex, angular momentum density, topological charge, circular polarization, angular tractor.

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 007-Ã3/×3363/26
Russian Science Foundation 17-19-01186
This work was supported by the Federal Agensy of scientific organization (Agrecment 007-Ã3/43363/26) in part “Linear momentum of paraxial laser beam” and by the Russian Science Foundation (#17-19-01186) in parts “Angular momentum of a paraxial laser beam” and “Computer Simulation”.


DOI: https://doi.org/10.18287/2412-6179-2018-42-1-5-12

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Full text: http://www.computeroptics.smr.ru/.../420101.html
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Received: 16.11.2017
Accepted:29.12.2017

Citation: V. V. Kotlyar, A. A. Kovalev, “Angular momentum density of a circularly polarized paraxial optical vortex”, Computer Optics, 42:1 (2018), 5–12

Citation in format AMSBIB
\Bibitem{KotKov18}
\by V.~V.~Kotlyar, A.~A.~Kovalev
\paper Angular momentum density of a circularly polarized paraxial optical vortex
\jour Computer Optics
\yr 2018
\vol 42
\issue 1
\pages 5--12
\mathnet{http://mi.mathnet.ru/co472}
\crossref{https://doi.org/10.18287/2412-6179-2018-42-1-5-12}


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