Kolmogorov与Non-Kolmogorov湍流相位屏的数值仿真方法研究

Numerical Simulation of Random Phase Screen Under the Kolmogorov and Non-Kolmogorov Turbulence Model

利用功率谱法、随机中点位移算法、线性插值法和统计插值法分别生成Kolmogorov湍流与Non-Kolmogorov湍流相位屏。通过对比模拟相位屏的高低频信息以及相位结构函数与理论结构函数的相对误差,分析了四种相位屏仿真方法分别在Kolmogorov湍流与Non-Kolmogorov湍流模型下的适用性。分析的结果表明:随机中点位移算法无论是在Kolmogorov还是Non-Kolmogorov湍流模型下生成的相位屏高低频信息都较为充足,模拟效率高而且相位结构函数在两种模型下与理论值的相对误差最小。

The methods of power spectrum,random midpoint displacement,linear interpolation and statistical interpolation are used to generate the atmospheric turbulence phase screen under Kolmogorov and Non-Kolmogorov turbulence models.By comparing the frequency information of the phase screen,and the phase structure functions are compared with the theoretical results,the applicability of these four phase screen simulation methods under different turbulence models are analyzed.It shows that the frequency information of the phase screen generated by random midpoint displacement method under the Kolmogorov and the Non-Kolmogorov turbulence model is sufficient and the simulation efficiency is high,the relative error between phase structure function and theoretical value is the smallest in the two models.