A Fourier-invariant squared Laguerre-Gaussian vortex beam

It is shown that a squared Laguerre-Gaussian (LG) vortex beam is Fourier-invariant and retains its structure at the focus of a spherical lens. In the Fresnel diffraction zone, such a beam is transformed into superposition of conventional LG beams, the number of which is equal to the number of rings...

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Bibliographic Details
Published inKompʹûternaâ optika Vol. 47; no. 3; pp. 367 - 373
Main Authors Kozlova, E.S., Savelyeva, A.A., Kovalev, A.A., Kotlyar, V.V.
Format Journal Article
LanguageEnglish
Published Samara National Research University 01.06.2023
Subjects
fourier invariance
fourier transform
fresnel diffraction
laguerre-gauss mode
optical vortex
topological charge
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Summary:It is shown that a squared Laguerre-Gaussian (LG) vortex beam is Fourier-invariant and retains its structure at the focus of a spherical lens. In the Fresnel diffraction zone, such a beam is transformed into superposition of conventional LG beams, the number of which is equal to the number of rings in the squared LG beam. If there is only one ring, then the beam is structurally stable. A more general beam, which is a “product” of two LG beams, is also considered. Such a beam will be Fourier-invariant if the number of rings in two LG beams in the “product” is the same. The considered beams complement the well-known family of LG beams, which are intensively studied as they remain stable during their propagation in turbulent media.
ISSN:0134-2452
2412-6179
DOI:10.18287/2412-6179-CO-1228