为了探究部分相干月牙形光束在非Kolmogorov谱中漂移的演化规律, 采用拓展Huygens-Fresnel原理, 得到了相应的解析表达式, 并运用MATLAB进行了数值模拟。结果表明, 在非Kolmogorov谱中, 部分相干月牙形光束的漂移分别随着各向异性参量的增大、湍流内尺度的增大、湍流外尺度的减小、结构常数的减小而降低; 与各向同性湍流相比, 各向异性湍流对漂移的影响较小; 月牙形光束的最大光强位置的离轴距离分别随着波长、光束阶数的增大而增大, 随着相干长度的增大而减小。月牙形光束由于最大光强位置的离轴特性, 有利于绕过障碍物传输, 所得结论对实际光通信有一定参考价值。

In order to investigate the evolution of beam wander of partially coherent crescent beams in non-Kolmogorov turbulence, the extended Huygens-Fresnel principle was used and the corresponding analytical expressions were obtained. Numerical simulation was carried out by using MATLAB. The results show that, in the non-Kolmogorov turbulence, beam wander of partially coherent crescent-like beams decreases with the increase of anisotropic parameters, the increase of turbulent inner scale, the decrease of turbulent outer scale and the decrease of structural constants respectively. Compared with isotropic turbulence, anisotropic turbulence has little effect on beam wander. Off-axis distance of the maximum intensity position of crescent-like beam increases with the increase of wavelength and beam order respectively. It decreases with the increase of coherence length. Off-axis characteristic at the position of the maximum intensity is beneficial for crescent-like beams to transmit around obstacles. The obtained conclusions have some reference value for practical optical communication.