Comparison of the stability of Laguerrе-Gauss vortex beams to random fluctuations of the optical environment

The propagation of Laguerre-Gauss vortex beams through a random phase distorting medium is numerically and experimentally investigated. The influence of the order of the mode on the degree of conservation of vortices of different orders in a random environment is analyzed. An increase in the stability of the detection of a vortex in a beam with a small defocusing of the output Fourier cascade of the optical correlator is shown experimentally.