Cui Linyan, Xue Bindang, Zhou Fugen
J Opt Soc Am A Opt Image Sci Vis. 2016 Apr 1;33(4):483-91. doi: 10.1364/JOSAA.33.000483.
In this study, the modified anisotropic turbulence refractive-index fluctuations spectral model is derived based on the extended Rytov approximation theory for the theoretical investigations of optical plane and spherical waves propagating through moderate-to-strong anisotropic non-Kolmogorov turbulence. The anisotropic factor which parameterizes the asymmetry of turbulence cells or eddies in the horizontal and vertical directions is introduced. The general spectral power law in the range of 3-4 is also considered compared with the conventional classic value of 11/3 for Kolmogorov turbulence. Based on the modified anisotropic turbulence refractive-index fluctuations spectrum, the analytic expressions of the irradiance scintillation index are also derived for optical plane and spherical waves propagating through moderate-to-strong anisotropic non-Kolmogorov turbulence. They are applicable in a wide range of turbulence strengths and can reduce correctly to the previously published results in the special cases of weak anisotropic turbulence and moderate-to-strong isotropic turbulence. Calculations are performed to analyze the derived models.
在本研究中,基于扩展的 Rytov 近似理论,推导了修正的各向异性湍流折射率起伏谱模型,用于对通过中等到强各向异性非 Kolmogorov 湍流传播的平面光波和球面光波进行理论研究。引入了各向异性因子,该因子参数化了湍流单元或涡旋在水平和垂直方向上的不对称性。与 Kolmogorov 湍流的传统经典值 11/3 相比,还考虑了 3 - 4 范围内的一般谱幂律。基于修正的各向异性湍流折射率起伏谱,还推导了通过中等到强各向异性非 Kolmogorov 湍流传播的平面光波和球面光波的辐照度闪烁指数的解析表达式。它们适用于广泛的湍流强度范围,并且在弱各向异性湍流和中等到强各向同性湍流的特殊情况下可以正确地简化为先前发表的结果。进行了计算以分析推导的模型。