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中文摘要：
基于广义惠更斯一菲涅耳原理，以高斯-谢尔模型（GSM）涡旋光束作为典型的部分相干涡旋光束，推导出GSM涡旋光束通过大气湍流斜程传输的平均光强、均方根束宽和交叉谱密度函数的解析表达式，并用以研究了大气湍流中上行和下行对GSM涡旋光束传输和对相干涡旋的影响．结果表明，在相同条件下，GSM涡旋光束下行传输受大气湍流的影响要小于上行传输，下行传输时相干涡旋拓扑电荷守恒距离要长于上行传输．对所得结果做了物理解释．
英文摘要：
Based on the extended Huygens-Fresnel principle, the propagations of a partially coherent vortex beam through atmospheric turbulence along an uplink path and a downlink path are studied, where the Gaussian Schell-model （GSM） vortex beam is taken as a typical example of partially coherent vortex beam. The analytical expressions for the average intensity, rms width and cross-spectral density function of GSM vortex beam propagating through atmospheric turbulence along a slant path are derived and used to study the influence of atmospheric turbulence along an uplink path and a downlink path on GSM vortex beam propagation and on coherence vortex. It is shown that under the same conditions the influence of atmospheric turbulence along a downlink path on GSM vortex beam propagation is smaller than that along a uplink path, and the conservation distance of the topological charge of GSM vortex beam along a downlink path is longer than that along a uplink path. The results are explained in physics.
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