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根据广义惠更斯-菲涅耳原理以及交叉谱密度函数，利用Kolmogorov湍流谱，推导出部分相干离轴涡旋光束在大气湍流中传输时光束的光强分布的表达式，讨论了离轴距离、拓扑荷数、束腰宽度、相干长度、传输距离、湍流强度等参数对光强分布的影响。仿真结果表明：1) 拓扑荷数的大小不会改变暗核的位置；2) 离轴距离的符号决定了暗核移动的方向和光强集中区域的方向；3) 暗核向上移动的距离随相干长度、束腰宽度的增大而减小，随传输距离、湍流强度的增大而增大；4) 光斑展宽随相干长度、束腰宽度、传输距离、湍流强度的增大而增大。
According to the generalized Huygens-Fresnel principle and the cross-spectral density function, the expression of the light intensity distribution of a partially coherent off-axis vortex beam propagating in atmospheric turbulence is derived using the Kolmogorov turbulence spectrum. The off-axis distance , Topological charge, waist width, coherence length, transmission distance, turbulence intensity and other parameters on the light intensity distribution. The simulation results show that: 1) the size of the topological charge does not change the position of the dark nucleus; 2) the sign of the off-axis distance determines the direction of dark nucleus movement and the direction of light intensity concentration; 3) Coherence length and waist width increase, but decrease with the increase of transmission distance and turbulence intensity. 4) Spot broadening increases with the increase of coherence length, waist width, transmission distance and turbulence intensity.