基于广义Huygens-Fresnel原理,利用Collins公式,讨论了偏振部分相干激光波束在湍流大气中传输的交叉谱密度函数,推导出经过偏振后的高斯-谢尔模型光束在外场不同距离水平传输时,光谱强度、束腰宽度及重心位置漂移的解析表达式.对偏振激光在大气湍流中传输时光束扩展和漂移进行数值仿真,得到相同传输距离下,偏振角、初始束腰及波长取不同值时,激光波束的扩展和漂移的变化情况.分析了相同偏振角度下,不同传输距离对光束扩展和漂移的影响.研究结果表明：大气湍流中偏振激光波束的扩展和漂移依赖于波束的波长、初始光束的偏振角和初始束腰;随着偏振角的变化,偏振部分相干激光波束的扩展和漂移关于45°呈现对称变化,当波束初始束腰小于或等于0.5 mm时,大气湍流对波束扩展和漂移的影响明显.

Cross-spectral density function of polarized and partially coherent laser propagated in turbulent atmosphere was determined based on the extended Huygens-Fresnel principle and Collins Formula. Analytical expressions for spectral intensity, expansion radius and barycentric position wander of polarized Gaussian-shell model beam were obtained under horizontal transmission at different distances of external fields. The beam extension and drift of the polarized laser polarized laser propagated in turbulent atmosphere were simulated, and the changing information of laser beam′s extension and drift in the same propagating distance with different polarizing angle,initial waist widths, and wave length were got. Similar simulation was also done using the different wavelengths and the same polarization angle but with different propagation distances. The results indicated that the spread and wander of polarized and partially coherent laser propagated in turbulent atmosphere are dependent on the polarization angle and initial waist width. The spread and wander of polarized laser beam at 45° show symmetry as polarization angle varies. With initial waist width less than or equal to 0.5 mm, the spread and wander were increasingly affected by atmospheric turbulence.