Self-focusing of cosh-Gaussian laser beam in a plasma with weakly relativistic and ponderomotive regime

Abstract

This paper presents an investigation of the self-focusing of cosh-Gaussian laser beam in a plasma with linear absorption taking into account the combined effects of relativistic and ponderomotive type nonlinearities. Nonlinear parabolic partial differential equation governing the evolution of complex envelope in slowly varying envelope approximation is solved using variational approach. Self-focusing and self-phase modulation as well as self-trapping of cosh-Gaussian beam are studied at various values of decentered parameter b, with different absorption levels ki′. Numerical analysis shows that these parameters play vital role on propagation characteristics.

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

“…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. A review of literature highlights the fact that the propagation characteristics of super-Gaussian laser beams in plasma with transverse magnetic field have not been studied to a significant extent.…”

Tunable focusing of sine-azimuthal wavefront modulated cosh-Gaussian beams by one spiral optical vortex

“…And as one special case of Hermite-sinusoidal-Gaussian beams, Hyperbolic-cosine-Gaussian [cosh-Gaussian (ChG)] beams have attracted much attention because their intensity profiles can be altered by changing the decentered parameters in cosh parts [4,5]. The propagation properties of ChG beams have become the object of many works [6][7][8], and, recently, their focusing properties have been investigated in detail [9][10][11], including self-focusing in parabolic media and plasma [12][13][14]. A virtual source for a ChG beam was also proposed [15].…”

Spatiotemporal Evolution of Intense Short Gaussian Laser Pulses in Weakly Relativistic Magnetized Plasma

“…It was shown that in the weakly relativistic regime, steady-state self-focusing is similar to self-focusing in a Kerr medium could occur. Relativistic self-focusing (RSF) was studied by many authors [40][41][42][43][44][45][46][47][48]. In Refs.…”