光学学报, 2014, 34 (10): 1001003, 网络出版: 2014-09-09
快速傅里叶变换湍流相位屏高频误差的补偿方法
High-Frequency Error Compensation Method for the Fast Fourier Transform-Based Turbulent Phase Screen
摘要
基于快速傅里叶变换(FFT)的湍流相位屏模拟方法存在低空间频率及高空间频率湍流分量采样不足的问题。提出了一种相位屏高频误差补偿方法。在这种补偿方法中,通过数值积分计算出未采样部分高频功率谱对应的二维相位自相关矩阵,然后该自相关矩阵经过FFT得到各功率谱采样点需补偿的功率谱值。仿真结果表明,该方法可以很好地补偿高频误差,模拟的相位结构函数误差约为0.1%。
Abstract
The fast Fourier transform (FFT)-based turbulence phase screen has the drawbacks of the undersampling of the low spatial frequency and high spatial frequency turbulence components. So a method is proposed to compensate the high frequency errors. In this compensation method, the phase autocorrelation matrix corresponding to the unsampled high frequency power spectrum is calculated by numerical integration, and then the compensation values of the power spectrum on the sampling girds are obtained from the phase autocorrelation matrix by a FFT operation. The simulation results show that the high frequency error can be compensated accurately by this method, and the error of the simulated phase structure function is about 0.1%.
向劲松. 快速傅里叶变换湍流相位屏高频误差的补偿方法[J]. 光学学报, 2014, 34(10): 1001003. Xiang Jingsong. High-Frequency Error Compensation Method for the Fast Fourier Transform-Based Turbulent Phase Screen[J]. Acta Optica Sinica, 2014, 34(10): 1001003.