根据推广的惠更斯-菲涅耳原理和Rytov相位结构函数二次近似, 推导出高斯-谢尔模型光束在湍流大气传输中交叉谱密度矩阵的表达式, 研究了湍流对椭圆偏振高斯-谢尔模型光束传输中的偏振特性影响, 并与部分偏振高斯-谢尔模型光束进行了对比分析.结果表明, 相对于部分偏振高斯-谢尔模型光束, 椭圆偏振高斯-谢尔模型光束在湍流大气传输中偏振度、方位角以及椭圆度的变化受湍流的影响较小.同时得到椭圆偏振高斯-谢尔模型光束在湍流大气斜程传输中偏振度的变化幅度比部分偏振高斯-谢尔模型光束的小, 而方位角和椭圆度的变化幅度比部分偏振高斯-谢尔模型光束的大.

Based on the generalized Huygens-Fresnel diffraction principle and the quadratic approximation of Rytov′phase structure function, the analytical expression for the cross-spectral density matrix of the electromagnetic Gaussian Schell-model beams propagating through turbulent atmosphere is derived. The influence of the turbulent on polarization properties of the elliptically polarized electromagnetic Gaussian Schell-model beams in propagation are studied in this paper. In addition, the polarization properties of an elliptically polarized electromagnetic Gaussian Schell-model beam and a partially polarized electromagnetic Gaussian Schell-model beam are contrasted and analyzed. The results show that compared with the changes in the state of polarization of partially polarized electromagnetic Gaussian Schell-model beams, the elliptically polarized electromagnetic Gaussian Schell-model beams have the advantage of the less influence of turbulence strength. Moreover, the variations of the spectral degree of polarization of the elliptically polarized electromagnetic Gaussian Schell-model beams propagating through turbulence atmospheric are smaller than the partially polarized electromagnetic Gaussian Schell-model beams. But the variations of the orientation angle and the degree of ellipticity of the elliptically polarized electromagnetic Gaussian Schell-model beams propagating are larger than the partially polarized electromagnetic Gaussian Schell-model beams.