We analyze the resonant interaction of energetic electrons with auroral kilometric radiation (AKR). Possible regimes of such an interaction are studied on the basis of a numerical solution of the particle motion equations in a given field of a quasi-monochromatic AKR wave packet. It is shown that for realistic wave amplitudes 0.2–0.4 V/m, the interaction can be highly nonlinear. As a result of nonlinear interaction, both a substantial (approximately twofold) acceleration of particles and a decrease in their energy (by about 20–50%) are possible. With realistic plasma and wave packet parameters, electrons with initial energies of the order of 10 keV are accelerated, and for electrons with initial energies of several tens of keV, the interaction leads to a decrease in energy.

我们分析了高能电子与极光公里辐射（AKR）的共振相互作用。在准单色AKR波包的给定场中，基于粒子运动方程的数值解，研究了这种相互作用的可能机制。结果表明，对于0.2-0.4 V / m的实际波幅，相互作用可能是高度非线性的。非线性相互作用的结果是，粒子的大量（大约两倍）加速和能量减少（大约20-50％）都是可能的。使用实际的等离子体和波包参数，初始能量为10 keV的电子被加速，对于初始能量为几十keV的电子，相互作用导致能量降低。