Abstract
The diffraction of elegant vortex hypergeometric (HyG) laser beams with a parabolic initial wavefront in a homogeneous medium is considered. While HyG beams have a central amplitude singularity in the initial plane and are of infinite energy, the superposition of two such beams has no singularity and is of finite energy. A particular case of this superposition, i.e., a sinusoidal Gaussian beam with a unit topological charge, is studied in detail. This beam belongs to the class of elegant laser beams since it is described by the same complex-argument function both in the initial plane and in the Fresnel diffraction zone.
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Funding
This work was financially supported by the Russian Science Foundation (grant no. 22-22-00265, Sections “Hypergeometric beam with parabolic initial wavefront” and “Linear combination of hypergeometric beams”, and grant no. 18-19-00595, Section “Elegant sinusoidal Gaussian beam with unit topological charge”) and by the Ministry of Science and Higher Education of the Russian Federation under a government project of the FSRC “Crystallography and Photonics” RAS (Section “Numerical simulation”).
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Kotlyar, V.V., Kovalev, A.A. & Nalimov, A.G. Superposition of Two Converging and Diverging Coaxial Hypergeometric Beams. Atmos Ocean Opt 35, 212–217 (2022). https://doi.org/10.1134/S1024856022030071
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DOI: https://doi.org/10.1134/S1024856022030071