Self-focusing of asymmetric cosh-Gaussian laser beams in weakly ionized collisional magnetized plasma

Abstract

In the present paper, we have exploited the self-focusing of asymmetric cosh-Gaussian (ChG) laser beams in weakly ionized collisional magnetized plasma. Differential equations for the beam-width parameters in two transverse dimensions of the beam are obtained by using Wentzel-Kramers-Brillouin (WKB) and paraxial approximations through parabolic equation approach. The final results of numerical computation are presented in the form of graphs and discussed. It is found that enhanced self-focusing is observed with reduction in self-focusing length by increasing the decentred parameters in both the dimensions of the beam.In the present paper, we have exploited the self-focusing of asymmetric cosh-Gaussian (ChG) laser beams in weakly ionized collisional magnetized plasma. Differential equations for the beam-width parameters in two transverse dimensions of the beam are obtained by using Wentzel-Kramers-Brillouin (WKB) and paraxial approximations through parabolic equation approach. The final results of numerical computation are presented in the form of graphs and discussed. It is found that enhanced self-focusing is observed with reduction in self-focusing length by increasing the decentred parameters in both the dimensions of the beam.