This paper proposes an empirical model of the angle-of-arrival (AOA) variance for a Gaussian wave propagating through the weak non-Kolmogorov turbulence. The proposed model is approximately expressed as the linear weighted average between the AOA variances of the plane and spherical waves. The Monte Carlo method is applied to validate the proposed model. The numerical simulations indicate that, under the geometrical optics approximation, the AOA variance for a Gaussian wave is insensitive to the change of the diffraction parameter and can be closely approximated by a simple linear relationship in the refraction parameter. These two properties ensure the validity of the empirical model.

中文翻译：

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高斯波在非Kolmogorov湍流中传播的到达角方差的经验模型

本文提出了一个通过弱非Kolmogorov湍流传播的高斯波的到达角（AOA）方差的经验模型。所提出的模型近似表示为平面波和球面波的AOA方差之间的线性加权平均值。应用蒙特卡洛方法对提出的模型进行验证。数值模拟表明，在几何光学近似下，高斯波的AOA方差对衍射参数的变化不敏感，并且可以通过折射参数中的简单线性关系来近似。这两个属性确保了经验模型的有效性。