Abstract
This paper presents a mathematical model, an asymptotic theory and an appropriate numerical algorithm to study, in the scalar approximation, VLF point source field propagation problem within the non-uniform Earth-ionosphere waveguide. We have taken into account a 3D local ionospheric inhomogeneity over the ground of the solar terminator transition. The local ionospheric perturbation whose centre is situated above the model earthquake, is simulated by a bell-shaped impedance inhomogeneity of the ionospheric waveguide wall. The ionosphere model parameters are computed with allowing for the geomagnetic field. Our numerical results show that the inclusion of the local ionospheric inhomogeneity in the radio wave propagation across the solar terminator path deforms the diurnal variations of field amplitude and phase in accordance with the observational data.
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