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In this paper, we study the propagation of sets of autofocusing laser beams using the fractional Fourier transform. Were considered sets of limited Airy-Gaussian beams, which are shifted from the center. Each of the beams can have additional spatial carrier frequencies that change the nature of beam propagation and their autofocus properties. Using numerical modeling we have shown possibility of controlling the trajectory of the curve during autofocus, and the generating of several autofocuses on the optical axis.
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Anton O. Frolov, Svetlana N. Khonina, "Modeling the propagation of sets of autofocusing laser beams," Proc. SPIE 11793, Optical Technologies for Telecommunications 2020, 117930I (22 June 2021); https://doi.org/10.1117/12.2592792