激光通过大气湍流传输，光束扩展主要由空间衍射和大气湍流两个物理机制确定，而大气湍流对光束扩展的影响又与光束空间衍射特性相关。研究了部分相干厄米-高斯(H-G)光束通过非Kolmogorov大气湍流传输光束扩展区间问题，把光束扩展按传输距离划分为三个区间，造成这三个区间的光束扩展的主要物理机制依次是：空间衍射、空间衍射和大气湍流、大气湍流。详细研究了部分相干H-G 光束参数和大气湍流参数对这三个区间范围大小的影响，以及第一个光束扩展区间与光束瑞利区间的关系，并对主要结果给出了合理的物理解释。

When laser beams propagate through atmospheric turbulence, the beam spreading depends on two mechanisms, i.e., free-space diffraction and atmospheric turbulence. The influence of turbulence on the beam spreading relates with diffraction. The regions spreading of partially coherent Hermite-Gaussian (H-G) beams propagating through non-Kolmogorov atmospheric turbulence are studied in detail. The propagation distance is divided into three regions, in which the beam spreading is dominated by free-space diffraction, free-space diffraction and atmospheric turbulence, and atmospheric turbulence, respectively. The influence of beam parameters and turbulence parameters on the three regions is studied, and the relation between the first region and the Rayleigh region is also examined. In addition, the physical explanations of the main results obtained are given.