Abstract
Nonlinear interaction of a beam with finite density of electrons, whose velocity is greater than the phase velocity of a plasma wave, with homogeneous collisionless plasma is described. It is shown that a positive feedback arises between plasma oscillations and the wave of longitudinal electron density of the beam if the phase of this wave is 90° ahead of the phase of plasma oscillations. An increase in the energies of plasma and beam oscillations is accompanied by a decrease in the kinetic beam energy until the moment when the beam velocity becomes equal to the plasma wave phase velocity. Since the beam velocity can be greater than the plasma wave phase velocity, such energy conversion is very efficient.
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