Abstract
The possibility of parametric excitation of longitudinal and transverse oscillations of pure cold electron plasma in high-frequency electric fields, when the relativistic oscillatory motion of the plasma electrons is taken into account, is studied. It is shown that the longitudinal and transverse oscillations are parametrically excited. Two equations describing the growth-rate of longitudinal and transverse oscillations and the parametric resonance conditions are obtained. It is also shown that due to the decrease of the proper plasma frequency, the penetration depth of electromagnetic fields in plasma is increased.
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