Abstract
Parametric instability at about half the electron plasma frequency ( omega e/2) is shown to follow from relativistic effects, i.e. from the longitudinal harmonic of a linearly polarized transverse wave at omega e/2. Higher order non-relativistic mode coupling on the transverse electric field direction may also occur, but the relativistic instability is stronger in the largest part of the small frequency band close to omega e/2.
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