corresponding to the phase velocity of the plasma wave in the REB and W, is the energy density of the incident laser beam. In large 7 limit, it becomes where P=v/c. On the other hand, the fraction of energy which is converted to the scattered wave is Here IF, is the energy density of the scattered wave. In large 7 limit, T], becomes The conversion efficiencies r)b and t]s are depicted in Figs. 3 for typical parameters. Since gives an upper limit of the efficiency, it cannot be greater than 1. Hence the following quantity is depicted instead of t]b, where Max (,) represents the greatest value among the arguments. Both efficiencies increase with 7 value and the density of the REB. In general, ys is much smaller than lbThe acceleration of the REB and the generation of the scattered wave are caused as an unstable phenomenon. This phenomenon appears in a timescale of Hence the phenomenon appears spatially in a scale of This interaction length L is depicted in Fig. 4. The length L increases with the larger value of 7, the weaker intensity of the incident laser beam and the lesser REB density.
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