Investigation of influence of Kerr and detuning parameters over instability gain in the three wave resonant interaction of Stimulated Raman backscattering

In this article, we study the modulation instability that rules over the evolution of three wave resonant interaction of backward stimulated Raman process. We intend to investigate the influence of Kerr and detuning parameters over the conventional instability gain under both the anomalous and normal dispersion regimes. We also tend to reveal the inertial instability gain arising in the absence of dispersion and explore its dependence over the system parameters.