Statistics of mode content of vortex matrix beams during distribution in atmosphere

This paper analyzes the mode composition of the radiation from vortex matrix laser beams synthesized by a coherent fiber-optic emitter matrix. The energy transfer between the vortex azimuthal radiation modes during propagation in free space and turbulent atmosphere is analyzed on the basis of numerical simulation. It is shown that most of the radiation energy is pumped into the main mode in the far-field zone, which is determined by the topological charge of the synthesized beam. Statistical characteristics of the mode composition of the synthesized vortex matrix beam are similar to those of the Laguerre-Gaussian beam in case of turbulence.