Topological charge of asymmetric optical vortices

Optics Express
V V Kotlyar, A A Kovalev

Abstract

We obtain theoretical relationships to define topological charge (TC) of vortex laser beams devoid of radial symmetry, namely asymmetric Laguerre-Gaussian (LG), asymmetric Bessel-Gaussian (BG), and asymmetric Kummer beams, as well as Hermite-Gaussian (HG) vortex beams. Although they are obtained as superposition of respective conventional LG, BG, and HG beams, these beams have the same TC equal to that of a single mode, n. At the same time, the normalized orbital angular momentum (OAM) that the beams carry is different, differently responding to the variation of the beam's asymmetry degree. However, whatever the asymmetry degree, TC of the beams remains unchanged and equals n. Although separate HG beam does not have OAM and TC, superposition of only two HG modes with adjacent numbers (n, n + 1) and a π/2-phase shift produces a modal beam whose TC is -(2n + 1). Theoretical findings are validated via numerical simulation.

References

Aug 27, 2003·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·A Ya BekshaevM V Vasnetsov
Feb 25, 2014·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·V V Kotlyar, A A Kovalev
Nov 18, 2014·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·V V KotlyarV A Soifer
Feb 28, 2015·Optics Letters·V V KotlyarA P Porfirev
Oct 20, 2017·Applied Optics·Victor V KotlyarAlexey P Porfirev
Nov 7, 2019·Optics Express·Markus HiekkamäkiRobert Fickler
Feb 15, 2020·Scientific Reports·Andrey PryamikovSergei Turitsyn
Mar 4, 2020·Optics Express·Richard J WatkinsEric G Johnson
Apr 1, 2020·Optics Express·Victor V KotlyarAlexander V Volyar

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Citations

Nov 12, 2020·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Alexey A KovalevAlexey P Porfirev

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