Cj. Mckinstrie et al., 2-DIMENSIONAL STIMULATED BRILLOUIN-SCATTERING, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(3), 1994, pp. 2182-2185
The evolution of the stimulated Brillouin scattering (SBS) instability
in time and two spatial dimensions is studied analytically. An exact
solution of the linearized equations governing SBS in a finite homogen
eous plasma shows that this two-dimensional instability usually satura
tes because of the convection of the ion-acoustic wave, regardless of
whether the associated one-dimensional interaction is convectively or
absolutely unstable. The steady-state intensity profile of the Stokes
light wave is often highly two dimensional.