The paper proposes a methodology and presents the results of modeling fluctuations of transionospheric radio signals propagating under conditions of intermittent ionospheric turbulence. To account for the intermittency of turbulence, the earlier developed model of a non-Gaussian multifractal phase screen is further extended to the case of the log-Poisson cascade model and additionally validated. Employing this technique, the intermittent fluctuations of the field on the ground are studied. An effect of the non-Gaussianity of phase fluctuations on the statistical characteristics of the field on Earth is demonstrated. In particular, an increase in the field coherence radius and a decrease in the scintillation index were found with an increase in the degree of intermittency of phase fluctuations on the screen, other parameters being equal. The results for the lognormal and log-Poisson models are slightly different in detail, but generally appear quite similar. The fluctuations of phase on the ground and screen possess the same multifractal scaling for the scales larger than the Fresnel zone size. This allows for solving the inverse problem of estimating the parameters of the model of the ionospheric turbulence employing the ground measurements data. The small-scale fluctuations (less than the Fresnel scale) of the field on the ground do not inherit the multifractal scaling of the field emerging from the screen due to the diffraction in free space.

本文提出了一种方法，并介绍了对在间歇性电离层湍流条件下传播的跨电离层无线电信号波动进行建模的结果。为了解释湍流的间歇性，早期开发的非高斯多重分形相位屏幕模型进一步扩展到对数泊松级联模型的情况，并进行了额外的验证。使用这种技术，可以研究地面场的间歇性波动。证明了相位波动的非高斯性对地球场的统计特性的影响。特别是，在其他参数相同的情况下，随着屏幕上相位波动的间歇程度的增加，发现场相干半径增加，闪烁指数降低。对数正态模型和对数泊松模型的结果在细节上略有不同，但通常看起来非常相似。对于大于菲涅耳区域尺寸的尺度，地面和屏幕上的相位波动具有相同的多重分形尺度。这允许解决使用地面测量数据估计电离层湍流模型的参数的逆问题。由于自由空间中的衍射，地面场的小尺度波动（小于菲涅耳尺度）不继承从屏幕出现的场的多重分形尺度。对于大于菲涅耳区域尺寸的尺度，地面和屏幕上的相位波动具有相同的多重分形尺度。这允许解决使用地面测量数据估计电离层湍流模型的参数的逆问题。由于自由空间中的衍射，地面场的小尺度波动（小于菲涅耳尺度）不继承从屏幕出现的场的多重分形尺度。对于大于菲涅耳区域尺寸的尺度，地面和屏幕上的相位波动具有相同的多重分形尺度。这允许解决使用地面测量数据估计电离层湍流模型的参数的逆问题。由于自由空间中的衍射，地面场的小尺度波动（小于菲涅耳尺度）不继承从屏幕出现的场的多重分形尺度。