Electron-Acoustic Waves and Parametric Instabilities in 3-Component Relativistic Quantum Plasma with a Beam of Non-relativistic Quantum Electrons

Nonlinear propagation of a highly intense circularly polarized electromagnetic wave through a 3-component relativistic quantum plasma (RQP) is studied. The plasma is composed of relativistic degenerate electrons, dynamic-degenerate ions, and a beam of non-relativistic degenerate electrons. The relativistic degenerate electrons are modeled by a Klein-Gordon equation (KGE), whereas the degenerate ions and beam of electrons are described by Schrodinger equations (SEs). The dynamics of the CPEM wave through the plasma is governed by the Maxwell and Poisson equations. Four modes have been observed through the linear analysis. It has been observed that the opacity of the plasma increases with an increase in the beam electron concentration. Stimulated Raman scattering, modulational instability, and stimulated Brillouin scattering have been studied, and an optimum value of the CPEM wave intensity has been found for the growth of these scattering instabilities. The growth rates of the SRS and SBS have been found to drop with increase in the quantum parameter (associated with the density) of the plasma. It has also been observed that the scattering spectra in both the SRS and SBS get restricted to very small wave number regions. The spectrum and the growth rate of the MI also show dependence on the quantum parameter.