Evolution of orbital angular momentum mode of the autofocusing Hypergeometric-Gaussian beams through moderate-to-strong anisotropic non-Kolmogorov turbulence

In order to investigate the evolution of mode probability density (MPD) and received power of orbital angular momentum (OAM) mode carried by autofocusing Hypergeometric-Gaussian (HyGG) beams in moderate-to-strong anisotropic non-Kolmogorov turbulence, the corresponding expressions of the spatial coherence radius and spiral spectrum of HyGG beams are achieved. Results show that the autofocusing property of HyGG beams has a significant impact on the propagation of the MPD. Smaller topological charge, Shorter wavelength, higher values of hollowness parameters and wider beam waist shrink to a narrower width of the MPD and maintain the characteristic of diffraction-free with a longer transmission distance. Moreover, smaller outer-scale, larger inner-scale, larger non-Kolmogorov parameter and larger anisotropic coefficient make the received power of OAM suffer less turbulence.