Double stimulated Brillouin scattering

To explain discrepancies between experiments and standard theories of stimulated Brillouin scattering Zozulya, Silin, and Tikhonchuk [Sov. Phys. JETP 59, 756 (1984)] have suggested a parametric process called Double Stimulated Brillouin Scattering (DSBS). In DSBS the incident pump wave is reflected from the critical surface and the two waves scatter from a common ion wave. In this paper some of the properties of DSBS are reviewed. Complete formulary for calculating the stationary eigensolutions of the fields and the eigenvalues of the reflection coefficients and oscillation frequencies is presented. The approach allows inhomogeneous plasma density and temperature. Temperature gradient effects are studied in detail. Numerical solutions including the temporal variation of the ion wave show that the fields start to pulsate above a critical intensity. The backscattering and specular reflections in DSBS develop into regular pulse trains.