Influence of light absorption in the interaction of asymmetric elegant Hermite-cosh-Gaussian laser beams with collisionless magnetized plasma

Abstract

In the present paper, an analysis of self-focusing of asymmetric elegant Hermite-cosh-Gaussian laser beams having transverse electromagnetic (TEMmn) modes with mode indices m = 0 and n = 0, 2, and 4 in magnetized plasma has been presented. The nonlinearity in the effective dielectric function of plasma considered herein is mainly due to the ponderomotive mechanism. The nonlinear coupled differential equations for beam width parameters in both x and y dimensions of the beams are established by using Wentzel–Kramers–Brillouin and paraxial approximations through a parabolic equation approach. The behavior of beam width parameters with the dimensionless distance of propagation is presented graphically at different parameters of plasma and those of general beam's family considered. Specifically, complexity in beam width parameters is highlighted through the influence of light absorption, mode index, and decentered parameter. The results show that two unlike decentered parameters in transverse dimensions of the beam change beam-widths considerably at higher order mode indices. Absorption gives an important role in complexity of beam width parameters in transverse dimensions of the beam.