大气相位屏的协方差冲激函数产生法

提出正交基为冲激函数的协方差法,在Matlab中仿真实现符合大气湍流统计分布(vonKarman谱和Kolmogorov谱)的大气相位屏。协方差冲激函数产生法对连续波前相位进行冲激函数正交分解,根据正交分解系数的协方差模拟平行光通过大气后的瞬时波前相位。计算多帧相位屏的波前结构函数,与理论值比对,验证产生大气相位屏的正确性。根据比对结果得,该方法产生的相位屏精度高,对于Kolmogorov谱,该方法产生的大气相位屏的波前结构函数误差约为理论波前结构函数均值的1%。

Random phase screen generation by covariance method

Phase screen which has same statistics as turbulence-induced atmospheric phase (vonKarman and Kolmogorov spectrum) will be generated by covariance method using pulse function as an orthonormal basis function. This method decomposes wave-front phase to a linear combination of orthonormal basis functions. According to the covariance of weight coefficient, a random wave-front phase is realized. Based on the comparison results we can conclude that the phase screen generated by covariance method is of high accuracy. For Kolmogorov spectrum, the wave-front function error of the phase screen generated by covariance method is about 1% of the averaged wave-front function value.