采用正态分布模型来描述传播路径上功率谱幂值的非均匀性, 利用功率谱反演法构建了基于等效结构常数的非Kolmogorov湍流相位屏, 并利用多重相位屏法进行了高斯光束在均匀各向同性湍流与非Kolmogorov湍流两种模型下的传输模拟。通过观察模拟光束的光强均匀度、光束漂移以及闪烁指数等,研究了非Kolmogorov湍流对光束传输模拟的影响。结果发现, 当光束通过单个非Kolmogorov相位屏时, 光强最大值与光强均匀度随着幂值先增大后减小, 光束漂移随幂值在一定范围内单调变化。当光束通过多重相位屏时, 发现模拟光束的光强闪烁指数会受到相位屏数量以及湍流模型的影响, 当相位屏数量较多时, 均匀各向同性湍流模型下模拟得到的光强闪烁指数会大于非K湍流模型下的结果, 且非K湍流模拟的光束漂移与均匀各项同性湍流模拟得到的光束漂移的相对误差会随着相位屏数量增多而趋于0。

The paper uses Gaussian distribution to describe the non-uniformity of the power spectrum’s power law along the propagation path. It presents the simulation of the non-Kolmogorov turbulence phase screens based on equivalent structure constant by power spectrum inversion method, and the simulation of the transmissions of laser beam through isotropous and non-Kolmogorov turbulence. By analyzing the light intensity uniformity, drift and scintillation indices of the beam propagating through single phase screen and multiple screens respectively, the influences can be found. When beam propagates through single phase screen, the maximum and uniformity of light intensity increase first and then decrease with power law. And beam drift is affected randomly in single screen and regularly in average data.When beam propagates through multiple phase screens, the scintillation indices of beams are affected by the number of phase screens. When the number is large, the scintillation indices through the isotropous turbulence is much larger than that in non-Kolmogorov turbulence, and the relative errors of beam drift in two models is close to 0. It is necessary to verify the influence by experiments and divide the scope of Kolmogorov turbulence and non-Kolmogorov turbulence.