Radial Gaussian-Schell-model array beams in oceanic turbulence

Based on the extended Huygens-Fresnel principle, the analytical expression for the cross-spectral density (CSD)function of the radial Gaussian-Schell-model array (RGSMA) beams propagating in oceanic turbulence is derived. Then, combined with the spatial power spectrum of oceanic turbulence, analytical formulas for the average intensity and the root-mean-square (rms) beam width of the RGSMA beams propagating in oceanic turbulence are obtained. The changes of the average intensity and the rms beam width with propagation distance z and three oceanic turbulence parameters, including temperature-salinity balance parameter w, mean square temperature dissipation rate xT, and energy dissipation rate per unit mass epsilon, are investigated in detail. The results have certain reference value for the propagation properties of the RGSMA beams in oceanic turbulence.