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- W2611356321 abstract "We obtain analytical expressions for the complex amplitudes of optical vortices deformed by astigmatic transforms, i.e., passed either through a cylindrical lens or through an inclined spherical lens. We also obtain similar analytical expressions describing propagation of an optical vortex generated when a Gaussian beam illuminates an inclined spiral phase plate (SPP) or when an elliptic Gaussian beam illuminates a SPP (not inclined). All these optical vortices with a topological charge (TC) n are described by the n-th order Hermite polynomial with a complex argument. It is shown that the argument is real only on a straight line in the transverse plane of the laser beam. There are n intensity nulls on this line. The treated here astigmatic transforms are used to determine the integer TC of optical vortices. We conduct a comparative experimental study of different astigmatic transforms and we show that the transform with a cylindrical lens is the best for determining the TC. Unlike other similar works, in this study we achieve transformation of n-degenerate intensity null of an optical vortex with the TC n=100 into n isolated first-order intensity nulls." @default.
- W2611356321 created "2017-05-12" @default.
- W2611356321 creator A5042552664 @default.
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- W2611356321 date "2017-05-05" @default.
- W2611356321 modified "2023-10-17" @default.
- W2611356321 title "Astigmatic transforms of an optical vortex for measurement of its topological charge" @default.
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- W2611356321 doi "https://doi.org/10.1364/ao.56.004095" @default.
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