论文标题
高斯相位自相关作为基于FFT的大气相屏幕模拟的准确补偿器
Gaussian phase autocorrelation as an accurate compensator for FFT-based atmospheric phase screen simulations
论文作者
论文摘要
准确模拟大气湍流行为总是具有挑战性的。众所周知的基于FFT的方法在正确预测低频和高频行为方面差不多。亚谐波补偿有助于低频校正，但不能解决所有屏幕大小与外部尺度参数比率的问题（g/$ $ l_0 $）。基于FFT的仿真仅适用于相对较大的屏幕尺寸与外部尺度参数比率（g/$ $ l_0 $）的准确结果。在这项工作中，我们引入了高斯相自相关矩阵，以补偿申请修改后的亚肝素补偿后的任何形式的残余错误。因此，我们解决了问题，例如在高频范围内采样，低频范围内亚肝素增加的不等抽样/权重和斑块归一化因子。我们的方法减少了模拟相对于理论预测的相结构函数的最大误差，至1.8 \％以内，g/$ l_0 $ = 1/1000。
Accurately simulating the atmospheric turbulence behaviour is always challenging. The well-known FFT based method falls short in correctly predicting both the low and high frequency behaviours. Sub-harmonic compensation aids in low-frequency correction but does not solve the problem for all screen size to outer scale parameter ratios (G/$L_0$). FFT-based simulation gives accurate result only for relatively large screen size to outer scale parameter ratio (G/$L_0$). In this work, we have introduced a Gaussian phase autocorrelation matrix to compensate for any sort of residual errors after applying for a modified subharmonics compensation. With this, we have solved problems such as under sampling at the high-frequency range, unequal sampling/weights for subharmonics addition at low-frequency range and the patch normalization factor. Our approach reduces the maximum error in phase structure-function in the simulation with respect to theoretical prediction to within 1.8\%, G/$L_0$ = 1/1000.
