Effect of Magnetic Field on Self-focusing and Stimulated Raman Scattering of q-Gaussian Laser Beam in Plasma

Abstract

This paper delves into relativistic q-Gaussian laser beam self-focusing effects on stimulated Raman scattering (SRS) in magnetized plasma.  Analytical solutions for nonlinear coupled wave equations defined by pump and electron plasma wave (EPW) for scattered waves were obtained using variational theory. We ran a numerical analysis on the resulting equations to determine how the laser and plasma properties affect the pump beam dynamics and the intensity of the scattered waves. The pump beam's self-focusing action greatly affects the dispersed wave's strength. Our research also shows that the stimulated Raman scattering effect increases as the self-focusing impact increases. The stimulated Raman scattering yield was analyzed with respect to several parameters, such as plasma density, q-value, and the influence of the magnetic field. The main effect is that when q increases, so do the SRS fluctuations; similarly, as plasma density and magnetic field concentration rise, the SRS fluctuations rise too. We can see that the pump beam's self-focusing significantly affects the plasma's reflectivity of SRS since the reflectivity decreases with rising q-value, density, and magnetic field values.