Focusing of Dark Hollow Gaussian Electromagnetic Beams in a Plasma With Relativistic-Ponderomotive Regime

Abstract

Abstract-This paper presents a theoretical model for the propagation of a hollow Gaussian electromagnetic beam [HGB], propagating in a plasma with dominant relativistic-ponderomotive nonlinearity. A paraxial like approach has been invoked to understand the nature of propagation; in this approach all the relevant parameters correspond to a narrow range around the irradiance maximum of the HGB. The critical curves for the propagation of various order HGBs have been discussed, and the dependence of the beam width parameter on distance of propagation has been evaluated for three typical cases viz. of steady divergence, oscillatory divergence and self focusing of the HGB.

Relativistic and ponderomotive effects on evolution of dark hollow Gaussian electromagnetic beams in a plasma

“…However, contrary results are observed for n = 2 in Figure 5, where 1/ρ 2 0 reaches maximum followed by steady decrease with Π. The result is quite similar to those of Misra and Mishra (2009).…”

Orbital Angular Momentum Density of a Hollow Vortex Gaussian Beam

“…The properties of dark hollow beams have been extensively investigated [12][13][14][15][16]. Focusing of dark hollow Gaussian electromagnetic beams has been studied in a plasma with relativistic-ponderomotive regime [17]. Upon propagation, the previous beam models are unstable.…”

Spatial evolution of a q-Gaussian laser beam in relativistic plasma

“…In a recent series of investigations, Sodha et al (2009aSodha et al ( , 2009b have presented a modified paraxial-like approach to analyze the propagation characteristics of a hollow Gaussian beam (HGB) in the vicinity of its irradiance maximum in the plasma by taking note of the saturating character of the nonlinearities (i.e., ponderomotive, collisional, and relativistic). In continuation of previous investigations (Sodha et al, 2009a(Sodha et al, , 2009b Misra and Mishra (2009) modeled the propagation of a hollow Gaussian electro-magnetic beam in a plasma, considering the combined effect of relativistic and ponderomotive nonlinearity. It is shown that the critical curves and self focusing depend strongly on the order of the HGB; the propagation of the HGB follows the characteristic three regimes in the vicinity of the maximum irradiance.…”