Annular vortex beams with apertures and their characteristics in the turbulent atmosphere

The analytical formulas for the average intensity distribution of annular vortex beam with aperture in the turbulent atmosphere are derived based on the extended Huygens–Fresnel principle. Under the H-V 5/7 turbulence model, the propagation proprieties of annular vortex beam with aperture are studied, and the influences of the optical topological charge, the propagation distance and the laser wavelength are numerically analyzed.