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Customizing structured light beams with a differential operator

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Abstract

We show that structured light beams can be customized with a differential operator in Fourier space. This operator is represented as an algebraic function that acts on a seed beam for adjusting its shape. If the seed beams are perfect Laguerre–Gauss beams (PLGBs) and Bessel beams (BBs) without orbital angular momentum, we demonstrate that the custom beams generated on the seed-PLG preserve their distribution a longer distance than the propagation-invariant custom-caustic light fields obtained with the seed-Bessel, where both beams have similar initial conditions. In this sense, the custom-PLGBs can be a better option for many applications where the propagation-invariant light fields are used. We show some beam distributions—astroid, deltoid, and parabolic—generated with both seeds.

© 2021 Optical Society of America

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No data were generated or analyzed in the presented research.

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Equations (5)

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