Statistical Moments of the Temporal Spectrum of Electromagnetic Waves in the Equatorial Ionosphere

Second order statistical moments of the temporal spectrum of scattered ordinary and extraordinary electromagnetic waves in the equatorial ionosphere are considered analytically and numerically using geometrical optics approximation and random transport equation. Broadening of this spectrum and shift of its maximum of these waves are analyzed. Investigations are carried out for different distances outside of a plasma slab and different frequencies of electron density pulsations. Statistical moments contain anisotropic coefficient of elongated plasmonic structures, tilt angle of these structures with respect to the external magnetic field, conductivity and velocity of a plasma stream. These factors have an influence on the evaluation of the temporal spectrum varying propagation distances traveling by these waves in the turbulent terrestrial ionosphere. Precursors of scattered extraordinary waves is observed for the extraordinary wave in a plasma slab, a new double-humped effect is revealed. Numerical calculations are carried out using ground-based radar systems and satellites observation data.