Abstract

Employing the theory of coherence, the partially coherent flat-topped vortex hollow beam is first introduced. The analytical propagation equation for a partially coherent flat-topped vortex hollow beam in oceanic turbulence is derived by using the extended Huygens–Fresnel diffraction integral and the spectrum of oceanic turbulence. The influences of coherence length, beam order $N$, the topological charge $M$, and the parameters of oceanic turbulence on evolution properties of partially coherent flat-topped vortex hollow beams propagating in oceanic turbulence are obtained by using the numerical examples.

© 2015 Optical Society of America

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