Abstract

A linearized theory is presented for the dominant instabilities in a laser-driven homogeneous plasma. The distinction between convective and absolute instabilities, and their effect on thresholds in finite plasmas, is especially emphasized. Thus, it is found that the effective thresholds for stimulated Brillouin and Raman scattering are higher than those generally quoted. The analysis is further extended to two dimensions, and it is shown that stimulated Brillouin scattering is primarily excited in the backward direction. The broader backscattering profile for stimulated Raman scattering exhibits a cutoff angle approaching 90° near a “critical” surface at one-fourth the critical density. At this density a strong instability is predicted corresponding to the excitation of Langmuir waves.

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