Atmospheric turbulent effects on the propagation properties of a general model vortex higher-order Cosh-Gaussian beam

The propagation properties for a General Model vortex Higher-order Cosh-Gaussian beam (GMvHchGB) propagating in a turbulent atmosphere are studied in detail. Based on the Huygens-Fresnel diffraction principle, the analytical formula of the intensity evolution for the considered beam traveling in turbulent atmosphere is derived at various propagation distances. The derived equation provides a general convenient procedure for describing the propagation properties of some particular beams in free space/atmospheric turbulence such as a fundamental Gaussian, Cosh-Gaussian, vortex Cosh-Gaussian and higher-order Cosh-Gaussian beams. The impact of the incident parameters as Gaussian waist, Cosh parameter, wavelength, hollowness and order of the beam are numerically verified. The results of our study proved that the beams maintain their intensity focused over long propagation distances. So, such of these beams will be useful in applications of the optical communication over free-space of the long-distance.