Average intensity of a partially coherent anomalous hollow beam propagating in underwater oceanic turbulence

Based on the extended Huygens–Fresnel principle, the cross-spectral density function of a partially coherent anomalous hollow beam (AHB) propagating in underwater oceanic turbulence has been derived. The average intensity of partially coherent AHB propagating in underwater oceanic turbulence has been calculated. The influences of coherence length and the strength of underwater oceanic turbulence on the spreading properties of partially coherent AHB are illustrated and analyzed using numerical examples. It is found that the partially coherent AHB with smaller coherence length and the partially coherent AHB propagating in stronger underwater oceanic turbulence will lose the initial beam profile and evolve into the Gaussian beam faster. The results are useful in applications for underwater wireless optical communication.