Phase correction of coherent multi-ring Laguerre-Gaussian light beams under turbulent conditions

The theoretical possibility of correcting the amplitude-phase distortions of Laguerre-Gaussian beams on atmospheric paths is studied by computer simulation. A dynamic adaptive correction scheme is used based on the principle of phase conjugation of the reference wave from an auxiliary coherent source. By numerically solving the inhomogeneous parabolic wave equation, the split-step method simulates the propagation of beams in a randomly inhomogeneous medium with a power-law spatial spectrum characteristic of atmospheric turbulence. The wave equation is solved using parallel architecture algorithms based on the functions of the Intel MKL and IPP libraries. The influence of atmospheric turbulence on fluctuations of the orbital angular momentum of Laguerre-Gaussian beams is considered, and the efficiency of their suppression in a closed loop of an adaptive optical system is theoretically demonstrated.