Abstract Rigorous analytic solution is constructed for the first of 2 s-order space position and frequency coherence function (which is alternatively also termed as symmetric) of the high-frequency wave field propagating through the stochastic transionospheric channel with the inhomogeneous layer of the background ionosphere and anisotropic fluctuations of the electron density in the approximation of the appropriate Markov equation. It is obtained employing the anisotropic parabolic model of the effective structure function of the fractional electron density fluctuations with two different scales along and across the Earth's magnetic field. The explicit analytic solution is presented, which is capable of describing the coherence properties of the field for any given inhomogeneous distribution of the electron density in the background ionosphere along a path of propagation. The procedure of calibrating the spatial scales of the anisotropic parabolic model of the electron density fluctuations along and across the Earth's magnetic field lines in order to provide the adequate solution to correspond to the realistic anisotropic inverse power law spectrum of the electron density fluctuations is presented in the companion paper.

中文翻译：

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高频波场在电子密度各向异性随机不规则的非均匀电离层中传播的相干特性： 1. 理论背景

摘要 对通过随机跨电离层信道传播的高频波场的第一个 2 s 阶空间位置和频率相干函数（也称为对称）构造了严格的解析解，背景电离层的非均匀层和近似适当马尔可夫方程的电子密度的各向异性波动。它是利用沿和穿过地球磁场的两个不同尺度的分数电子密度波动的有效结构函数的各向异性抛物线模型获得的。给出显式解析解，它能够描述背景电离层中电子密度沿传播路径的任何给定不均匀分布的场的相干特性。校准沿和穿过地球磁场线的电子密度波动的各向异性抛物线模型的空间尺度的过程，以提供与电子密度波动的现实各向异性逆幂律谱相对应的适当解决方案。配套文件。