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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%。
The turbulent phase screen simulation method based on Fast Fourier Transform (FFT) has the problem of low sampling rate of low spatial frequency and high spatial frequency turbulence components. A high-frequency phase error compensation method is proposed. In this compensation method, the two-dimensional phase autocorrelation matrix corresponding to the unsampled high-frequency power spectrum is calculated by numerical integration, and then the autocorrelation matrix is obtained through FFT to obtain the power spectrum value to be compensated for each power spectrum sample point. The simulation results show that this method can compensate high frequency error very well. The simulated phase structure function error is about 0.1%.