Backward Raman compression in plasma under nonlinear detuning at plasma wave-breaking threshold

From the first principles, we derive equations for Raman interaction in plasma taking into account the influence of nonlinear dispersion of plasma wave. It result in nonlinear detuning, which limits plasma wave amplitude much below the generally recognized wave-breaking threshold. The results of direct particle-in-cell simulations well agree with the scaling laws of these estimations. The methods for counteract this nonlinear de tuning is suggested. Meanwhile, noise seeded Raman signals have small amplitudes, which negligibly deplete pump power.