Self action effects of q-Gaussian laser beam in preformed parabolic plasma channels: effect of nonlinear absorption

This paper offers a theoretical examination of the self-action effects observed in intense laser beams as they propagate through preformed parabolic plasma channels. Specifically, detailed investigations have been conducted on the phenomena of self-focusing, self-trapping, and self-phase modulation of the laser beam. To visualize the impact of the beam profile deviating from the ideal Gaussian profile, the field distribution in the medium has been characterized by a q-Gaussian distribution. Applying the moment theory approach, the nonlinear partial differential equation governing the slowly varying envelope of the laser beam has been transformed into a set of interconnected ordinary differential equations describing the evolution of beam width and longitudinal phase. The obtained equations were numerically solved to visualize how both laser and medium parameters affect the propagation characteristics of the laser beam.