Abstract
Parametric decays of a circularly polarized electromagnetic wave in an electron–positron plasma are studied. Relativistic effects on the particle motion in the wave field are included. The analysis is based on the Vlasov equation in order to account for kinetic effects. There are two types of decays: one in which the pump wave decays into two electromagnetic waves, and the other where the pump wave decays into electromagnetic waves and electroacoustic pseudomodes. These decays have been found in the weakly relativistic regime for both the fluid and the kinetic theory, even though the electroacoustic pseudomodes satisfy ω/kvth∼1, and therefore, they are strongly Landau damped. In this work the dispersion relation for the parametric decays in the relativistic regime is calculated, and it is studied numerically assuming the equilibrium distribution function is a one-dimensional Maxwell–Jüttner distribution. Results are compared with the weakly relativistic case.
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