Average intensity properties of flat-topped vortex hollow beam propagating through oceanic turbulence

The average intensity for flat-topped vortex hollow beam propagating through oceanic turbulence is studied analytically based on the extended Huygens-Fresnel diffraction integral formula and the spectrum of oceanic turbulence. It is found that the beam propagation in oceanic turbulence will lose its initial dark hollow center with the propagation distance increasing; and the beam order N, the topological charge M and the parameters of oceanic turbulence affect the evolution properties of flat-topped vortex hollow beam propagating through oceanic turbulence.