以厄米-高斯混合模形式描述激光二极管光束的分布，利用光束二阶项矩阵进行计算，研究了光束束宽与光束传输因子之间的关系，并对各向异性大气湍流中广义指数和各向异性系数对光束传输因子的影响进行了分析。结果表明，对于不同的湍流强度，均存在不同的束宽使得光束传输因子最小。此外，大气湍流模型中各向异性系数的增大使得大气湍流对光束传输因子的影响相应减小。通过二维光束质量轨迹图的仿真，证实了各向异性系数对光束传输因子轨迹的影响将随着传输距离的增大变得更加明显。所得结果将有利于大气光传输理论的发展，并对大气光通信、激光雷达探测等应用有着重要意义。

The distribution of laser diode beam is described in the form of mixed Hermite-Gaussian mode. We study the relationship between beam waist width and beam propagation factor by using the beam second-order term matrix. The influences of generalized exponent and anisotropy coefficient on beam propagation factor are analyzed. Results show that，for different turbulence intensity, there are different beam widths which make the beam propagation factor minimum. In addition, the increasing of anisotropy coefficient of atmospheric turbulence model reduces the influence of atmospheric turbulence on beam propagation factor. Simulation for the two-dimensional beam quality trace illustrates that the influence of anisotropy coefficient on beam propagation factor trace will be more obvious when the propagation distance is increasing. The result may help the development of atmospheric laser beam propagation theory and has important significance in applications of atmospheric optical communication and lidar detection.