Analysis of stimulated scattering of a high-frequency incident pump wave from an unmagnetized relativistic electron beam is presented. The backscattered radiation frequency can be enhanced by the factor 4γ20 over the incident pump frequency, where γ0 is the relativistic factor of the electron beam. The linear growth rates associated with the wave-wave and wave-particle modes of scattering, in the high gain limit, are examined for a number of different pump amplitude regimes. Estimates for the scattering efficiency are presented for the wave-wave scattering process.
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Sprangle et al. (1979) studied this question.
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