This paper presents a theoretical investigation of electron plasma wave (EPW) excitation via the beating of two cross-focused Gaussian and q-Gaussian laser beams propagating along an external magnetic field in a magnetized plasma. The nonlinear interaction arises from relativistic mass modulation of plasma electrons due to the intense laser fields, leading to intensity-dependent modifications in the dielectric response of the plasma. Importantly, the nonlinear dielectric behavior depends on the intensities of both laser beams, resulting in mutual coupling of their propagation characteristics and the onset of cross-focusing. The study examines the influence of an externally applied magnetic field on beam propagation dynamics and the resulting EPW power. A comparative analysis is carried out between the magnetized and unmagnetized cases to highlight the role of the magnetic field. The nonuniform transverse intensity profiles of the laser beams induce localized perturbations in the background electron density, which nonlinearly couple to the EPW and influence its excitation efficiency. Using the Lagrangian formulation and moment theory approach, two coupled second-order nonlinear differential equations are derived to describe the spatial evolution of the beam widths. These equations are solved numerically to evaluate the effects of laser and plasma parameters, as well as the magnetic field strength, on the cross-focusing behavior and EPW power. The findings of this work offer valuable insights for advanced applications of laser–plasma interactions, including inertial confinement fusion and charged particle acceleration.
Niroozad et al. (Sun,) studied this question.
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