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The boundary-value problem describing stimulated Raman scattering induced by a plane coherent electromagnetic wave normally incident upon plasma with a monotonic density profile is solved on a global basis. Propagation of amplified electrostatic waves between the resonant backward- and forward-scattering points and reflection of forward-scattered electromagnetic waves into the resonant backward-scattering region result in an absolute instability. The threshold, growth rate and line spacing for this instability are derived.
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Koch et al. (1984) studied this question.
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