Modeling the propagation of Laguerre-Gaussian modes through a random medium based on the analytical Karhunen-Loeve expansion

To analyze the ability of certain beams to maintain information stability under the influence of random fluctuations of the optical medium, numerical calculations are used with the help of turbulence simulators such as diffusers, scattering screens and turbulence cells. These turbulence simulators can be generated via the Karhunen-Loeve decomposition, which is the basis of the eigenfunctions of the correlation function. A random medium simulator formed for a Gaussian correlation function was used to study the ability of single-ring Laguerre-Gaussian vortex beams to retain their structure. The results showed that an increase in the order of the optical vortex leads to less beams phase singularity stability to random optical fluctuations.