Minimization of the on-axis scintillation index of sinusoidal Gaussian beams is investigated by using the modified Rytov method in weak atmospheric turbulence for uplink/downlink of aerial vehicle-satellite laser communications. Among the focused cosh-Gaussian (cosh-G), cos-Gaussian (cos-G), annular, and Gaussian beams, a suitable displacement parameter for a cosh-G beam is determined that will minimize the scintillation index in uplink and downlink configurations. Then, for both uplink and downlink, the variations of the scintillation index against the propagation distance, source size, and zenith angle are examined and compared among themselves to show the optimum beam that possesses the minimum scintillation index. Sinusoidal Gaussian beams that are focused at the receiver and obtained by employing the appropriate displacement parameter, which we name the optimum beams, are recommended to obtain smaller intensity fluctuations in atmospheric wireless optical communication systems operating in vertical links in weak turbulence.

中文翻译：

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飞行器-卫星激光通信弱湍流下正弦高斯光束闪烁指数的最小化

飞行器-卫星激光通信上行/下行弱大气湍流条件下，利用改进的Rytov方法研究了正弦高斯光束轴上闪烁指数的最小化问题。在聚焦的 cosh-Gaussian (cosh-G)、cos-Gaussian (cos-G)、环形和高斯光束中，确定了一个合适的 cosh-G 光束位移参数，以最大限度地减少上行链路和下行链路配置中的闪烁指数. 然后，对于上行链路和下行链路，闪烁指数随传播距离、源尺寸和天顶角的变化被检查并相互比较，以显示具有最小闪烁指数的最佳光束。正弦高斯光束聚焦在接收器并通过使用适当的位移参数获得，