Abstract

This work presents an analytical and numerical study for the mutual interaction and propagation of two intense hollow Gaussian laser beams (HGLBs) at difference frequency in a magnetized plasma. This work has been done in the presence of relativistic nonlinearity, which depends on the intensity of both laser beams. In this process, the propagation of both laser beams in the plasma is described by cross-focusing, as the behavior of one laser beam affects that of another laser beam. The nonlinear differential equations for the beamwidth of HGLBs have been obtained within the Wentzel–Kramers–Brillouin (WKB) method and higher-order paraxial theory. The expression for the nonlinear dielectric constant of the plasma has been obtained from the maximum irradiance of the HGLBs. The obtained equations have been solved numerically to explore the effect of the well-established laser and plasma parameters on the focusing of both laser beams in a magnetized plasma. The results have been compared with paraxial ray theory and Gaussian profile of the laser beams. The focusing/intensity of both laser beams increases in the extended paraxial region compared to the paraxial region in the magnetized plasma. The focusing of both laser beams increases even at high values of beam order and electron cyclotron frequency in the extended paraxial region.

© 2021 Optical Society of America

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