Study on the annular vortex beams with limited apertures and their propagation characteristics in the turbulent atmosphere

Considerable interest has been exhibited in characteristics of vortex beams due to their importance in basic science and some attractive applications. The general expression of vortex beams with limited aperture is developed, and the analytical formulas for the average intensity distribution of annular vortex beam with limited aperture in the turbulent atmosphere are derived based on the extended Huygens-Fresnel principle. Under the H-V 5/7 turbulence model, the characteristics of the annular vortex beams with limited apertures propagation through the turbulent atmosphere in a slant path are analyzed in the present paper.