Investigation of the influence of turbulent media on the propagation of squared Laguerre-Gaussian beams

The paper considers the squared Laguerre-Gaussian beams. Using the Fresnel integral, numerical modeling of the propagation of such beams in turbulent media is performed. The topological charges of the resulting fields are calculated. The behavior of squared Laguerre-Gaussian beams is compared with classical Laguerre-Gaussian modes. Analysis of the obtained results showed that even with strong turbulence, the average deviation of the topological charge does not exceed 5%.