Focusing of Hermite-cosh-Gaussian laser beams in collisionless magnetoplasma

Abstract

This paper presents an investigation of the focusing of Hermite-cosh-Gaussian laser beams in magneto-plasma by considering ponderomotive nonlinearity. The dynamics of the combined effects of nonlinearity and spatial diffraction is presented. To highlight the nature of focusing, plot of beam-width parameter vs. dimensionless distance of propagation has been obtained. The effect of mode index and decentered parameter on the self-focusing of the beams has been discussed.

Propagation of circularly polarized quadruple Gaussian laser beam in magnetoplasma

“…Propagation regimes of intense circularly polarized laser beam in the presence of static magnetic field and at relativistic intensity has been discussed by Asthana et al [15]. A number of theoretical investigations on self-focusing of laser beam in magnetoplasma have been published in the past few years by various researchers considering Gaussian, elliptical, Cosh-Gaussian, Hermite-cosh-Gaussian and Super-Gaussian laser beams [16][17][18][19][20][21][22].…”

Self-focusing of super-Gaussian laser beam inmagnetized plasma under relativistic and ponderomotive regime

“…Only a few investigations have been reported on selffocusing of super Gaussian [45][46][47][48], self trapping of degenerate modes of laser beam [43], self-trapping of Bessel beam [49], elliptic Gaussian beam [50][51][52][53], hollow elliptic Gaussian beam [54], Hermite-cosh-Gaussian beam [55] and cosh Gaussian spiral field [56,57]. Focusing of dark hollow Gaussian electromagnetic beams in plasma has been reported [58].…”

Relativistic self-focusing of super-Gaussian laser beam in plasma with transverse magneticfield

“…Most of the research work on self-focusing of the laser beam has been confined to the cylindrically symmetric Gaussian beams symmetry (Kumar et al, 2006;Hora, 1975;Esarey et al, 1997;Sharma et al, 2004;Akhmanov et al, 1968). Only a few investigations have been reported on the self-focusing of super-Gaussian beams Grow et al, 2006;Fibich, 2007), self-trapping of degenerate modes of laser beams (Karlsson, 1992), self-trapping of Bessel beams (Johannisson et al, 2003), elliptical Gaussian beam (Cornolti et al, 1990), and hollow elliptical Gaussian beam (Cai & Lin, 2004), sinusoidal-Gaussian beam in complex systems (Casperson & Hall, 1997), Hermite-sinusoidalGaussian (HSG) laser beams in the turbulent atmosphere (Baykal, 2004), Hermite-Gaussian beams , and Hermite-cosh-Gaussian (HChG) laser beams (Belafhal & Ibnchaikh, 2000;Patil et al, 2010). In relatively recent studies, the propagation of cosh-Gaussian laser beams in turbulent atmosphere, cubic quintic nonlinear media, parabolic medium, and plasma has been investigated in detail (Eyyuboglu & Baykal, 2005;Konar et al, 2007;Patil et al, 2009;Gill et al, 2011aGill et al, , 2011b.…”