Excitation of upper hybrid wave by cross focused q-Gaussian laser beams in graded index plasma channel

In this paper, a method is presented for exciting an upper hybrid wave (UHW) in a preformed parabolic plasma channel. The plasma channel is magnetized perpendicular to the propagation direction of laser beams. The UHW is generated through the interaction of two q-Gaussian laser beams with frequencies ω and ω, employing the ponderomotive nonlinearity. The evolution of the laser beam spot sizes along the propagation distance is described by a set of coupled differential equations derived using the moment theory approach in the W.K.B approximation. The ponderomotive nonlinearity depends on the intensities of both laser beams, resulting in a mutual influence between the two beams, leading to cross-focusing. Numerical simulations are conducted to examine the impact of laser and channel parameters on the cross-focusing of laser beams and its effect on the power of the generated UHW. The results indicate that the intensity profiles of the laser beams, channel depth, and strength of the static magnetic field significantly affect the power of the generated UHW.