摘要

The propagation properties of a radial Gaussian beam array through oceanic turbulence are studied analytically. The analytical expressions for the average intensity and the beam quality (power-in-the-bucket (PIB) and M-2-factor) of a radial beam array in a turbulent ocean are derived based on an account of statistical optics methods, the extended Huygens-Fresnel principle, and the second order moments of the Wigner distribution function. The influences of w, epsilon, and chi(T) on the average intensity are investigated. The array divergence increases and the laser beam spreads as the salinity-induced dominant, epsilon decreased, and chi(T) increased. Further, the analytical expression of PIB and the M-2-factor in the target plane is obtained. The changes of PIB and the M-2-factor with three oceanic turbulence parameters indicate that the stronger turbulence with a larger w, smaller epsilon, and larger chi(T) results in the value of PIB decreasing, the value of the M-2-factor increasing, and the beam quality degrading.