利用功率谱反演加次谐波的方法模拟产生了符合Kolmogorov统计规律的大气湍流畸变波前相位屏, 重点分析了所生成的相位屏在旋转使用情形下的统计特性, 为后续的相位屏旋转应用实验奠定了理论基础。通过子相位屏组相位结构函数及大气相干长度数值模拟结果与理论值的对比, 对子相位屏组的统计特性进行了验证, 并对模拟结果与理论值存在的差异进行了分析。结果表明, 用功率谱反演加次谐波方法得到的随机相位屏是正确的, 在旋转使用情形下, 子相位屏组的相位结构函数与理论结果整体符合, 但低频成分仍存在较大的偏差, 其大气相干长度模拟计算结果较设计值偏大。

Atmosphere turbulence wavefront distortion phase screen (PS) according with Kolmogorov statistical law was implemented in simulation using power spectrum inversion method with subharmonics, then the statistical properties of generated PS were mainly analyzed in rotation, laying the theoretical foundation for the subsequent PS rotating application experiments. Statistical properties of sub-PSs were verified by comparing the numerical simulation results of phase structure function and atmospheric coherent length with that of theoretical values, the differences between simulated results and theoretical ones were also analyzed. The experiment result shows that the random PS obtained by power spectrum inversion method is correct, when PS is used in rotating situation, the phase structure functions of sub-PSs accord with theoretical results in principle though there is still large deviation in low-frequency component, while the simulated atmospheric coherent lengths are bigger than the theoretical values.