Influence of Atmospheric Turbulence on the Topological Charge of the Superposition of Optical Vortices

The paper considers beams in the form of geometric progression of optical vortices. Numerical modelling of the propagation of such optical fields in turbulent media is simulated using the Fresnel integral. The topological charges of the initial and resulting fields have been calculated. As expected, the analysis of the obtained results showed that superpositions with a smaller number of beams are more resistant to distortions by strongly turbulent media. However, in the case of a superposition in the form of a geometric progression with a parameter, the stability of beam propagation is affected not only by the medium parameters, but also by the parameters of the superposition.