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Keywords = astigmatic-invariant beams

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16 pages, 5316 KB  
Article
General Astigmatism of Structured LG Beams: Evolution and Transformations of the OAM Super-Bursts
by Alexander Volyar, Eugeny Abramochkin, Mikhail Bretsko, Server Khalilov and Yana Akimova
Photonics 2023, 10(7), 727; https://doi.org/10.3390/photonics10070727 - 25 Jun 2023
Cited by 9 | Viewed by 1728
Abstract
We have developed a structured beams theory, computer simulation and experiment that have lost rotational symmetry and propagate in a medium with a general astigmatism. It transpires that the astigmatic medium brings to light such hidden properties of the structured beams as a [...] Read more.
We have developed a structured beams theory, computer simulation and experiment that have lost rotational symmetry and propagate in a medium with a general astigmatism. It transpires that the astigmatic medium brings to light such hidden properties of the structured beams as a sharp growing of the orbital angular momentum exceeding the sum of the radial and azimuth numbers, as well as the effect of the beam structure following the cylindrical lens rotation. Full article
(This article belongs to the Special Issue Recent Advances in Optical Diffraction and Imaging)
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16 pages, 12986 KB  
Article
Astigmatic-Invariant Structured Singular Beams
by Alexander Volyar, Eugeny Abramochkin, Yana Akimova and Mikhail Bretsko
Photonics 2022, 9(11), 842; https://doi.org/10.3390/photonics9110842 - 8 Nov 2022
Cited by 14 | Viewed by 1851
Abstract
We investigate the transformation of structured Laguerre–Gaussian (sLG) beams after passing through a cylindrical lens. The resulting beam, ab astigmatic structured Laguerre–Gaussian (asLG) beam, depends on quantum numbers (n,) and three parameters. Two of them are control parameters of [...] Read more.
We investigate the transformation of structured Laguerre–Gaussian (sLG) beams after passing through a cylindrical lens. The resulting beam, ab astigmatic structured Laguerre–Gaussian (asLG) beam, depends on quantum numbers (n,) and three parameters. Two of them are control parameters of the initial sLG beam, the amplitude ϵ and phase θ. The third one is the ratio of the Rayleigh length z0 and the focal length f of the cylindrical lens. It was theoretically revealed and experimentally confirmed that the asLG beam keeps the intensity shape of the initial sLG beam when the parameters satisfy simple conditions: ϵ is unity and the tangent of the phase parameter θ/2 is equal to the above ratio. We also found sharp bursts and dips of the orbital angular momentum (OAM) in the asLG beams in the vicinity of the point where the OAM turns to zero. The heights and depths of these bursts and dips significantly exceed the OAM maximum and minimum values of the initial sLG beam and are controlled by the radial number n. Full article
(This article belongs to the Special Issue Light Focusing and Optical Vortices)
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