Non-linear generation of third harmonic in a magnetoplasma

Abstract

In this communication, the authors have obtained an expression for the third harmonic component of the current density in a magnetoplasma, when the elastic field is at right angles to the direction of the magnetic field, by setting up and solving Boltzmann's transfer equation for electrons; in the expansion of the distribution function of electron velocities, the coefficient of v_x² has also been taken into account. This expression has been substituted n the appropriate wave equation and the solutions have been used to study the generation of third harmonic of an electromagnetic wave in a magnetoplasma and on reflection from a magnetoplasma free-space interface, when the direction of propagation of the wave is along the magnetic field. Some numerical results depicting the phenomenon of resonance have also been given. An interesting result is that, when a pure mode of the fundamental propagates in a magnetoplasma, only the, other mode of the third harmonic will be generated.