Regular Article

Self-focusing of higher-order asymmetric elegant Hermite-cosh-Gaussian laser beams in collisionless magnetized plasma

¹ Department of Physics, Shivaji University, Vidyanagar, Kolhapur 416 004, Maharashtra, India
² Department of Physics, Devchand College, Arjunnagar, Kolhapur 591 237, Maharashtra, India

^a e-mail: sdpatil_phy@rediffmail.com

Received: 25 July 2018
Received in final form: 9 December 2018
Published online: 7 March 2019

Abstract

In the present paper, we have explored the complexity in self-focusing of asymmetric elegant Hermite-cosh-Gaussian (EHChG) laser beams in magnetized plasmas. We have studied transverse electromagnetic (TEM) mode indices (m, n) of laser with distinct values (0, 0), (0, 2) and (0, 4). The nonlinearity in dielectric constant considered herein is mainly due to the ponderomotive force. General form of differential equations for beam-width parameters in both transverse dimensions of the beam are established by using WKB and paraxial approximations through parabolic wave equation approach. The behaviour of beam-width parameters with dimensionless distance of propagation is studied at different parameters of plasma and those of the considered beams family.