Application of Boltzmann's transfer equation to nonlinear propagation of a plane polarized monochromatic EM wave in ionospheric plasma

摘要

The ionospheric plasma (mainly D and E layers) has been modeled as a slightly ionized plasma, with highly dominant scattering of electrons by N-2 and O-2 molecules. Scattering by elastic collisions and inelastic collisions with rotational excitation of molecules has been considered on the basis of the measured scattering parameter delta not equal 2m/M as a function of electron speed. The assumptions in this paper are valid when the collision frequency v is much larger than the gyro-frequency omega(h); this is true for many situations in the D layer and is of academic interest for the E-layer; the present formulation is valid in all the cases when the magnetic field is along the electric vector of the wave. In this paper, the nonlinear propagation parameters of a plane polarized monochromatic electromagnetic wave in the plasma have been obtained by substituting the appropriate expression for the current density J, as a function of E, the electric field of the wave. J is of course obtained using the solution of the corresponding Boltzmann transfer equation. The analysis is limited by v omega(h). There are many books and reviews available on nonlinear propagation in plasma. The applications of such studies start from demodulation, cross-modulation, phase modulation, etc., in the ionosphere. Published under license by AIP Publishing.