Abstract

A numerical solution of the wave equations for whistler electromagnetic waves incident on the ionosphere from above is obtained. For the calculations, we used a matrix algorithm for the approximate solution of wave equations in a stratified smoothly inhomogeneous medium and the collocation method for solving the boundary problem. Dependences of reflection coefficients R are obtained and analyzed on the frequency and angle of incidence of the wave for different seasons and time of day. At night, for waves with frequencies from 1 to 10 kHz, the values of R vary from 0.1 to 0.7. In daytime conditions, the value of R, on average, is two orders of magnitude lower and does not exceed 0.04. The smallest values of the reflection coefficient are associated with waves, the reflection of which occurs in the region of strong attenuation at heights of 80–110 km. The results obtained explain the specific features of the conditions for the excitation of the plasma magnetospheric maser.

中文翻译：

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白天和黑夜条件下从上方入射到电离层的惠斯勒电磁波反射的特殊特征

摘要

获得了从上方入射到电离层上的惠斯勒电磁波的波动方程的数值解。对于计算，我们使用矩阵算法求解分层光滑非均质介质中波动方程的近似解，并使用搭配方法求解边界问题。获得反射系数R的相关性，并根据不同季节和一天中不同时间的入射波频率和入射角进行分析。在晚上，对于频率从1到10 kHz的波，R的值在0.1到0.7之间变化。在白天情况下，R的值，平均要低两个数量级，并且不超过0.04。反射系数的最小值与波有关，其反射发生在高度为80-110 km的强烈衰减区域。获得的结果解释了等离子体磁层微波激射器激发条件的特定特征。