Relativistic effects on evolution of a q-Gaussian laser beam in magnetoplasma: Application of higher order corrections

Abstract

In this research work, the authors have investigated the propagation characteristics of a q-Gaussian laser beam in a magnetoplasma by considering the relativistic nonlinearity. The field distribution in the medium is expressed in terms of beam width parameter f and q parameter. Higher order terms in the expansion of the dielectric function and the eikonal have been taken into account. The behavior of the beam width parameter with a dimensionless distance of propagation ξ for various values of q is examined. The phenomenon of self-trapping is also studied under variety of parameters. Further, the effect of the magnetic field on the self-focusing of the laser beam has also been explored.