Temporal evolution of density and field amplitudes in Raman amplification including relativistic and ponderomotive effects

The nonlinear regime of Raman amplification has been studied including the combined effects of relativistic and ponderomotive nonlinearities. The study is important for interaction of mildly relativistic pump and probe laser pulses. Nonlinear coupled temporal evolution of fields and density in Raman amplification is analyzed. It is shown that the saturation amplitude and time of the probe pulse in nonlinear regime depends upon the intensity of the electromagnetic waves and the density of the medium. Further in the nonlinear regime the probe laser pulse gain is severely affected by changes in both the electromagnetic wave amplitude and the plasma density.