为了研究部分相干平顶光束阵列在海洋湍流中的传输特性, 基于拓展惠更斯-菲涅耳原理和魏格纳分布函数, 结合海洋湍流的空间功率谱函数, 理论推导了部分相干平顶光束阵列在海洋湍流中的传输因子、有效曲率半径、瑞利尺寸的解析表达式, 数值计算并讨论了它们与光束的相干长度、海水温度与盐度变化、动能耗散率、温度方差耗散率等参量的关系。结果表明,在相同条件下, 当传输距离超过400m时, 相对于部分相干高斯光束、部分相干平顶光束和部分相干高斯光束阵列, 部分相干平顶光束阵列受海洋湍流的影响更小, 传输特性更为稳定。此结果对选择合适的光束在海洋湍流传输方面具有一定的参考价值。

In order to study propagation properties of partially coherent flat-topped beam array(PCFT) in the oceanic turbulence, based on the extended Huygens-Fresnel principle and Wigner distribution function, combined with the spatial power spectrum of oceanic turbulence, analytical formulas of M2 factor, effective radius of curvature and Rayleigh range of PCFT beam array in oceanic turbulence were obtained and the relationship between M2 factor, effective radius of curvature and Rayleigh range of PCFT beam array in oceanic turbulence and the coherent width, temperature change, salinity change, dissipation rate of turbulent kinetic energy, dissipation rate of mean-squared temperature were analyzed and discussed. The results show that, under the same condition, when the propagation distance is more than 400m, compared with the partially coherent Gaussian beam, the partially coherent flat-topped beam and the partially coherent Gaussian beam array, PCFT beam array is less affected by the oceanic turbulence and the propagation characteristic is more stable. The results have certain reference value for selecting the suitable beams propagating in oceanic turbulence.