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An investigation is made of the relativistic effect on the nonlinear stimulated scattering of large-amplitude laser radiation in the presence of the self-generated magnetic field in a laser-produced plasma. The relativistic Vlasov equation expressed in terms of the guiding-center coordinates has been solved to obtain the response of the magnetized plasma electrons. It is noted that the extreme relativistic effect increases the growth rates of the stimulated scattering by a factor of c/vₑ, where c and vₑ are the free-space speed of light and thermal velocity of the plasma electrons.
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Salimullah et al. (1990) studied this question.
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