Characteristics of spatiotemporal dynamics of a quadruple Gaussian laser beam in a relativistic ponderomotive magnetized plasma

Abstract

An investigation of the spatiotemporal dynamics of a quadruple Gaussian laser beam via plasma in the presence of an external magnetic field characterized by ponderomotive and relativistic nonlinearities is presented. The moment theory approach is used to study the second-order nonlinear differential equation analytically and numerically. The evolution of the beam width parameter determines the pulse dynamics, in both time and space. The spatial evolution at different pulse times of a quadruple Gaussian laser beam in a relativistic ponderomotive magnetized plasma is reported. The effects of initial laser parameters, such as lateral beam separation, laser intensity, external magnetic field, plasma density, and time factor on self-focusing, are studied. Strong periodic self-focusing is observed for a gradual increase in the magnetic field, plasma density, and time factor, whereas an increase in beam intensity shows reversal effects. The phenomenon of self-trapping is also observed for different values of lateral beam separation and magnetic field. A three-dimensional portrait of the normalized intensity as a function of the normalized radial co-ordinate and lateral beam separation is well illustrated. It is useful in studying inertial confinement fusion.

Stimulated Raman scattering by circularly polarized quadruple Gaussian laser beam and co-propagating electron beam in plasma

“…Investigations have been carried out to analyze the spatiotemporal evolution characteristics of quadruple Gaussian laser beams in the presence of an external magnetic field. The results indicate that selffocusing is reduced with increasing laser intensity, while gradual increments in plasma density, the time factor, and magnetic field intensity lead to enhanced self-focusing [40]. Similar studies have demonstrated the enhanced self-focusing nature of quadruple Gaussian beams [32].…”

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

“…Self focusing of the laser beams in different nonlinear media has been a hot topic of research since its discovery by Askaryan [11]. In past few years a vast literature has been reported by researchers from all over the globe on various aspects of this phenomenon [20][21][22][23]. Early seminal work of Sodha et al [24] gave a gravest blow to the investigation of this phenomenon for intense laser beams interacting with plasmas in different environments and regimes.…”

Self-focusing of asymmetric finite Airy-Gaussian laser beams in magnetized plasma

“…super Gaussian [3], cosh-Gaussian [4], Laguerre-Gaussian [5], Hermite-Gaussian [6], quadruple Gaussian [7], 𝑞𝑞-Gaussian [8], Bessel-Gaussian [9] and Hermite-cosh-Gaussian [10] beams due to their specific characteristics.…”