Registration of vortex beam parameters in a turbulent atmosphere

In this paper detection of vortex beam parameters in a turbulent atmosphere is considered numerically. The characteristics of singular radiation were obtained with the use of wavefront gradients, i.e. an ideal system was simulated. After that, a model of a Shack–Hartmann sensor was included in the calculation schematic which allowed us to assess the influence of the device limitations on the precision of registration and optimize its parameters.