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A concise general dispersion relation is found to describe electron parametric instabilities driven by relativistically intense circularly polarized laser light in plasma. It is valid for densities from rarefied plasma up to overdense regions accessible by self-induced transparency due to the relativistic electron mass increase. In the form of a fourth order scalar difference equation, it describes stimulated harmonic generation as well as stimulated Raman scattering, the relativistic modulational and filamentation instabilities, and the two-plasmon decay. It is also related to analytic results for stimulated harmonic generation from rarefied plasma and to synchrotron radiation from single electrons.
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Barr et al. (2003) studied this question.
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