基于非Kolmogorov谱模型，利用广义惠更斯-菲涅耳原理和维格纳分布函数的二阶矩定义，推导出部分相干厄米高斯(H-G)光束在非Kolmogonov大气湍流中传输因子的解析表达式，并用以研究了非Kolmogorov大气湍流对部分相干H-G光束传输因子的影响。结果表明，部分相干H-G光束在非Kolmogorov大气湍流中传输时，传输距离、湍流外尺度、广义结构常量和空间相关长度越小，湍流内尺度和光束阶数越大，光束传输受非Kolmogorov大气湍流影响越小，光束质量越好。当广义指数取3.11时，部分相干H-G光束在传输过程中表现的光束质量最差。

Based on the non-Kolmogorov spectrum, using the extended Huygens-Fresnel principle and the definition of second-order moments of the Wigner distribution function (WDF), the analytical expressions for the propagation factors of partially coherent Hermite-Ganssian (H-G) beams propagating through non-Kolmogorov atmospheric turbulence are derived, and used to study the influence of non-Kolmogorov atmospheric turbulence on the propagation factors of partially coherent H-G beams. It is shown that the smaller the propagation distances, the outer scale, the general structure constant, the spatial coherence length, and the larger the inner scale, the beam orders, the less the propagation of partially coherent H-G beams is affected by non-Kolmogorov atmospheric turbulence, the better the beam quality. When the general exponent is 3.11, the beam quality of partially coherent H-G beams is the poorest through atmospheric turbulence.