Effect of inertial ponderomotive force and self-focusing of the fundamental pulse on generation of second harmonic in magnetic plasma

Abstract In this paper, nonlinear propagation of the intense ultra short pulses through under dense plasmas are investigated analytically. Using paraxial theory, the beam width parameter is evaluated as a function of the propagation distance. The effect of the inertial ponderomotive force, ρ m ( u → ⋅ ∇ → ) u → , on intensity of the second harmonic pulse and self focusing of laser pulse are considered. It is shown that the second harmonic amplitude depends on the propagation distance periodically. It is shown that the inertial ponderomotive force affects efficiency of the second harmonic generation, but it does not affect beam width parameter of the second harmonic wave.