Abstract
In this paper, a comparative study of the properties of two types of beams-Gauss-Laguerre and circular Airy beams. It is known that Gauss-Laguerre beams are modes in an optical fiber with a parabolic distribution change in the refractive coefficient, and in free space they retain their structure by changing the scale. On the other hand, circular Airy beams, which resemble Gauss-Laguerre beams in structure, possess autofocus properties. The propagation of two types of beams in a parabolic optical fiber using fractional Fourier transform is considered.
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