According to the linear theory of stimulated scattering instabilities taking into count kinetic effects, the frequencies and the damping rates of an electron plasma wave (PEW) and of an ion-acoustic wave (IAW) are computed in a maxwellian electron velocity distribution function(n=2) to the non-Maxwellian saturated (n=5) limit. Stimulated Raman scattering and stimulated Brillouin scattering are analyzed, the results show that in high-Z plasmas or in laser hot spots with moderate Z, the damping rate of an electron plasma wave is substantially lower and the frequency of an ion-acoustic wave significantly higher than those in a Maxwellian distribution, and its damping rate is also lower.

In this paper we study the laser plasma turbulent heating due to parametric instabilities by the numerical simulation method based on one and a half-dimensional cloud-in-cell scheme.The computer simulation results show that linear growth rate of the parametric instabilities is in reasonable agreement withthe theoretical predic tion. We also give the computer simulation results on no-nlinear heating rate,the heated electron distribution function,the ripple surfaceof the critical density and the caviton, These results are discussed.

We have studied parametric heating caused by electric field of strong laser with frequence which is a little higher than plasma frequence(w₀=1.1W_p)by use one and half dimensional CIC scheme. Results shown that both the ion-acoustic instabilities and the oscillation two-stream instabilities are stimulated together, nonlinear saturation show some fine structures, plasma is heated strongly and tur-blent spectra after saturetion fllows a typical power law.