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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0.5mm时,大气湍流对波束扩展和漂移的影响明显.
Based on the generalized Huygens-Fresnel principle, Collins formula is used to discuss the cross-spectral density function of polarized partial coherent laser beams propagating in turbulent atmosphere. The spectra of polarized Gaussian-Schell beams propagating at different distances in the external field are derived. Intensity, waist width and center of gravity shift of the beam.The numerical simulation of the propagation and drift of the polarized laser beam in the atmospheric turbulence is carried out, and under the same transmission distance, when the polarization angle, the initial beam waist and the wavelength take different values, The influence of different transmission distance on beam expansion and drift under the same polarization angle is analyzed.The results show that the expansion and drift of the polarization laser beam in atmospheric turbulence depend on the wavelength of the beam and the initial beam And the initial beam waist. With the change of polarization angle, the propagation and drift of the partially polarized laser beam show a symmetrical variation with respect to 45 °. When the initial beam waist is less than or equal to 0.5 mm, the effects of atmospheric turbulence on beam expansion and drift The impact is obvious.