Abstract
A formalism for the derivation of the dispersion relation for potential surface waves which can propagate on a bounded warm plasma (plasma column) immersed in a high-frequency electric field E=E0 sin Omega 0t is described. The dispersion relation is examined for the case of strong and weak external electric fields. The threshold field and the growth rate of the purely growing surface parametric instability in a warm plasma column are obtained. It is shown that the threshold of purely growing surface instability for a plasma column is not higher than the threshold of decay (periodic) parametric instability for the same column.
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