This is the first of a series of papers, the general subject of which is how to interpret a set of simultaneous measurements of the three electric and three magnetic components of a random electromagnetic wave field in a magnetoplasma. The point at which the measurements are made is assumed to be stationary with respect to the plasma. In this first paper, the following problems are treated: how to define, within the framework of classical electrodynamics, a distribution function that characterizes the statistics of a linear random electromagnetic wave field in a lossless magnetoplasma; the direct problem of predicting the statistical properties of measurements of the six components of a field of this type, when the distribution function is known.

Abstract. Speci®c type of energetic electron precipitation accompanied by a sharp increase in trapped energetic electron¯ux are found in the data obtained from lowaltitude NOAA satellites. These strongly localized variations of the trapped and precipitated energetic electron¯ux have been observed in the evening sector near the plasmapause during recovery phase of magnetic storms. Statistical characteristics of these structures as well as the results of comparison with proton precipitation are described. We demonstrate the spatial coincidence of localized electron precipitation with cold plasma gradient and whistler wave intensi®cation measured on board the DE-1 and Aureol-3 satellites. A simultaneous localized sharp increase in both trapped and precipitating electron¯ux could be a result of signi®cant pitch-angle isotropization of drifting electrons due to their interaction via cyclotron instability with the region of sharp increase in background plasma density.

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