Abstract The similarity model of anisoscale fluctuations of permittivity in a turbulent atmosphere is suggested. Correlation properties of fluctuations in different spatial directions are shown to be similar and to differ only in the direction-dependent scaling factor. The power-law similarity model of fluctuations is proposed. It is shown that in the geometric optics approximation the correlation properties of the phase of plane (and spherical) wave are similar and differ only in the scaling factor, depending on wave-propagation directions and the base (the coordinate difference at probe points). Correlation characteristics (dispersion, coefficient of anisomery, and a form of correlation coefficient) are calculated for a number of typical parameters of the problem.

中文翻译：

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大气介电常数随机各尺度不均匀性空间谱相似模型及其在波传播问题中的应用

摘要 提出了湍流大气中介电常数各尺度波动的相似模型。不同空间方向波动的相关属性显示为相似，仅在依赖于方向的比例因子上有所不同。提出了波动的幂律相似性模型。结果表明，在几何光学近似中，平面（和球面）波相位的相关特性相似，仅在比例因子上有所不同，这取决于波的传播方向和基数（探测点的坐标差）。计算问题的许多典型参数的相关特性（色散、异构系数和相关系数的一种形式）。