Abstract
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 \({\chi _{\text{T}}}\), and energy dissipation rate per unit mass \(\varepsilon\), are investigated in detail. The results have certain reference value for the propagation properties of the RGSMA beams in oceanic turbulence.
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