Nonlinear interaction of elliptical q-Gaussian laser beams with plasmas with axial density ramp: effect of ponderomotive force

Abstract

Theoretical investigation on optical self action effects of intense q-Gaussian laser beams interacting with collisionless plasmas with axial density ramp has been presented. Emphasis are put on investigating the dynamics of beam width and axial phase of the laser beam.Effect of the ellipticity of the cross section of the laser beam also has been incorporated.Using variational theory based on Lagrangian formulation nonlinear partial differential equation (P.D.E) governing the evolution of beam amplitude has been reduced to a set of coupled ordinary differential equations for the beam widths of the laser beam along the transverse directions. The evolution equation for the axial phase of the laser beam has been obtained by the Fourier transform of the amplitude structure of the laser beam from coordinate space to (k x , k y ) space. The differential equations so obtained have been solved numerically to envision the effect of laser-plasma parameters on the propagation dynamics of the laser beam.

Ponderomotive forces due to electron modes in unmagnetized plasmas described by kappa distribution functions

“…The purpose of this study is to investigate the influence of the kappa distribution on the Washimi and Karpman ponderomotive force for electron waves in low-temperature unmagnetized plasmas. This study can be useful to generalize the results given by Hora (1969b), Gupta and Kumar (2021). We include these effects by using the dielectric tensor for kappa distributions in the finite but low-temperature approximation without considering the damping characteristics of the wave, and we compare the magnitude of the term that accompanies the variation of the wave amplitude for the kappa and Maxwellian distributions.…”

Mathematical Control of Space-Based Kinetic Energy Weapons Based on Partial Differential Equations and Evaluation of Their Destructive Effects

“…Based on this Carleman estimate, the zero controllability of the coupled system is obtained [11]. Gupta proves the zero controllability of the coupled inverse stochastic heat equation system [12]. Because of the transient occurrence, this process can usually be regarded as a linear problem, so the shock wave load can be accurately calculated by empirical formula, then the energy carried by the shock wave can be obtained by integrating the relationship between the wave energy and the shock wave pressure, and then the energy carried by the shock wave can be obtained.…”