采用相干性和偏振性统一理论, 推导出了部分相干电磁厄米-高斯(EHG)光束在湍流大气中传输时偏振度的解析式, 并给出了偏振度保持传输不变的条件。研究表明, 部分相干电磁厄米-高斯光束的偏振度由大气折射率结构常数、光束相关长度、厄米多项式阶数、光束初始偏振度相关常数和观察点位置共同决定。经过足够长的传输距离后, 光束的偏振度将趋于源平面处的初始值, 并与光束相关长度、厄米多项式阶数以及湍流的强弱均无关系。电磁高斯-谢尔模型(EGSM)光束通过湍流大气传输时光束偏振度的变化作为所得结果的特例给出。

Based on the unified theory of coherence and polarization, the expression for the degree of polarization of partially coherent electromagnetic Hermite-Gaussian (EHG) beams in atmospheric turbulence is derived, and the conditions for keeping polarization invariance are also given. It is shown that the degree of polarization of partially coherent EHG beams in atmospheric turbulence at the observation point (x,y,z) depends on refraction index structure constant of turbulence, coherence length of the source, order numbers of Hermite polynomial, and constant associated with the degree of polarization of the source. However, after a long-propagation distance, the degree of polarization in turbulence tends to the value at the source plane. The result is independent of coherent length and order number of Hermite polynomial, and the strength of turbulence. The change in the polarization of electromagnetic Gaussian Schell-model (EGSM) beams is just a special case of the obtained results.