无限长湍流相位屏产生方法

在考虑时间特性的激光大气湍流数值模拟中，构造满足要求的湍流相位屏对大气湍流的模拟尤为重要，为此提出基于多点预测的相位协方差插值方法产生湍流相位屏,由多个已知点的相位值对新插值点的相位值进行预测，推导出了插值点的预测矩阵及其残余方差的表达式，并对插值后生成的相位屏的空间统计特性进行了验证。数值模拟结果表明:该方法产生的湍流相位屏与大气湍流的统计特性符合得较好，随着用于预测的已知点数的增加，模拟生成的湍流相位屏的精度提高，并可以进行连续插值生成无限长的湍流相位屏。

Generation of infinitely long turbulence phase screen

In numerical simulation of laser propagation through atmospheric turbulence considering time characteristics, the generation of long turbulent phase screen is critical. In this paper, the multi-point prediction interpolation algorithm based on the phase covariance method is proposed. The algorithm predicts the phase value of the new interpolation point according to given points which are known. The prediction matrix and the residual variance expression of the interpolation point are derived, and the spatial statistical properties of the generated phase screen are verified. The results show that the statistical properties of generated phase screen agree well with theoretical ones of atmospheric turbulence. With the increase of known points, the generated turbulence phase screen will have better accuracy. In addition, the method can generate infinitely long turbulence phase screen through successive interpolation.