Abstract
The results of an experimental campaign on propagating several Laguerre–Gaussian (LG) beams with trivial radial order and their random sequences through the controlled-air turbulence are presented. Various statistical moments of the fluctuating intensity of a single LG mode and the mode-to-mode correlations and their derivatives are found. The mode-to-mode intensity correlations revealed the appearance of robust ring-like structures depending in size on the mode index difference. The experimental results were verified with the help of numerical simulations.