Abstract
Non-linear longitudinal oscillations produced by applied high-frequency fields in a cold non-homogeneous plasma are investigated. Within a certain range of applied frequencies the plasma is shown to develop a parametric-type resonance. Unlike in homogeneous plasma where the parametric excitation of the oscillations occurs at a harmonic of the applied frequency inhomogeneous plasma is shown to develop the parametric resonance at its subharmonics. The non-linear components which are governed by the density non-uniformity in the equations of motion are shown to restrict the amplitude growth in the resonance region.
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