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Abstract
The analytical propagation expressions for the average intensity of flat-topped vortex hollow beams in atmospheric turbulence are obtained by using the extended Huygens-Fresnel diffraction integral. And the influences of atmospheric turbulence on the average intensity of flat-topped vortex hollow beams are given by numerical examples. The results show that the flat-topped vortex hollow beams propagating in atmospheric turbulence will evolve into Gaussian-like beam with the propagation distance increasing, and the beam propagating in atmospheric turbulence with larger structure constant Cn2 will lose its initial dark hollow centre more rapidly.
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