Stimulated Brillouin scattering (SBS) is investigated one dimensionally under conditions when the typical growth rate is comparable with the ion acoustic frequency. The equations for the three‐wave interaction are modified according to strong coupling. Studies of SBS in homogeneous plasma slabs exhibit the onset of steady‐state solutions. A reflecting rear boundary can cause the backscattering to show nonstationary behavior. In addition, inhomogeneous plasma profiles that include the critical density are studied using the electromagnetic wave equation together with a hydrodynamic approach for the ion fluid.
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