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

Abstract

Nonlinear parabolic partial differential equation governing the evolution of complex envelope in slowly varying envelope approximation is solved using variational approach. The basic nonlinear phenomena of relativistic and ponderomotive selffocusing in a plasma are taken into account. Self-focusing, self-phase modulation as well as self-trapping of dark hollow Gaussian beam is studied for higher orders of hollow Gaussian beam (n).

Non‐paraxial theory of self‐focusing/defocusing of Hermite cosh Gaussian laser beam in rippled density plasmas

“…Focus of all the theoretical research work on self‐focusing has been specifically centred on simple Gaussian beams and cylindrically symmetric Gaussian beams. Recently, only a few non‐Gaussian beams such as Hermite‐Gaussian beam, super Gaussian beam, cosh Gaussian (chG) beam, hollow elliptic Gaussian beams, dark hollow Gaussian beams, and Hermite‐sinusoidal Gaussian (HSG) beams have been reported.…”

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].…”

Interaction between parallel Gaussian electromagnetic beams in a plasma with weakly relativistic-ponderomotive regime

“…The self-focusing being a genuinely nonlinear phenomenon arising out of nonlinear response of material medium leading to its modified refractive index. Specifically, in the laser-plasma-interaction, the generic process of self-focusing of the laser beams [9][10][11][12][13][14][15][16][17][18]20,19,21,22] has been focus of attention as it affects many other nonlinear processes. It plays crucial role in beam propagation and arises due to increase of the on-axis index of refraction relative to edge of the laser beam.…”