Properties of the flattened-vortex beam with aperture propagating through the turbulent atmosphere in a slant path

A typical model of the flattened-vortex beam propagating through the turbulent atmosphere in a slant path is established, and the analytical formulas of the average intensity distribution at the observation plane are derived based on the extended Huygens-Fresnel principle. Under the H-V 5/7 turbulence model, the characteristics of the average intensity distribution at the observation plane are investigated, and the influences of the optical topological charge, the propagation distance, and the zenith angle of the propagation path are numerically analyzed.