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相对于理论研究和实验研究,数值模拟研究具有独特的优越性,包括参数可控和可实现系综平均等。因此,对于大仰角链路大气湍流影响研究等实验系统无法搭建的研究,可以采用光束传输的数值模拟方法来进行研究。在Zernike多项式展开法和多相位屏理论的基础上,建立了基于Zernike多项式的大气湍流多相位屏数值模型,实现了高斯光束水平链路(0°)和大仰角典型链路(30°、60°)大气传输的数值模拟,并利用水平链路到达角(AOA)起伏方差经验计算公式对3组900次水平链路数值仿真结果进行了分析。结果表明,数值模拟到达角起伏方差和实验值误差在5%以内,多相位屏数值模型是有效的。该工作对自由空间光通信系统中大气湍流影响研究具有重要意义。
Compared with theoretical research and experimental research, numerical simulation has unique advantages, including controllable parameters and ensemble average. Therefore, for the research on the influence of the experimental system of the atmospheric turbulence at the large elevation link, the numerical simulation method of beam transmission can be used to study. Based on Zernike polynomial expansion method and multi-phase screen theory, a multi-phase numerical model of atmospheric turbulence based on Zernike polynomial is established. The Gaussian beam horizontal link (0 °) and the typical link with large elevation angle (30 °, 60 °), and the numerical simulation results of 900 horizontal links in three groups were analyzed by empirically calculating the variance of horizontal link angle of arrival (AOA) fluctuation. The results show that the numerical simulation of the arrival angle fluctuation variance and the experimental error is within 5%, and the multi-phase screen numerical model is effective. This work is of great significance for the study of the effects of atmospheric turbulence in free space optical communication systems.