Spatiotemporal dynamics of the amplitude-phase characteristics of stimulated Raman scattering

A numerical model describing the processes of generation of stimulated Raman scattering (SRS) is developed; the calculations are performed and different scenarios of generation of Stokes radiation in compressed hydrogen are analyzed. The spatiotemporal profiles of intensities and phases of interacting waves, the radiation spectra, and the functions of spatial coherence are obtained by way of numerical simulation for different conditions of SRS generation. A substantial difference between these parameters in the cases of nonstationary and quasi-stationary regimes of SRS generation is revealed. The nonstationary regime of generation is characterized by more complicated spatiotemporal dependences than the quasi-stationary regime. However, in the quasi-stationary regime, the phase of the Stokes wave radiation varies over a larger interval during the pump pulse duration, which leads to a decrease in the degree of spatial coherence to lower values. For both regimes of generation, the value of the degree of spatial coherence decreases with an increase in the conversion factor to a certain threshold value and then stabilizes, which is in agreement with experimental data. The presence of a moving focus of SRS focusing of the Stokes beam is demonstrated. This effect is governed by the spatiotemporal shape of the pump beam intensity (the Gaussian profile), by a high SRS gain, and by the processes of diffraction. The results of the numerical simulation are in qualitative and quantitative agreement with experimental data obtained previously.