Recent advances in investigation of propagation of GNSS signals through the ionosphere with local random time-dependent inhomogeneities

Analytic theory is developed for solving the set of Markov´s momenta parabolic equations for the case of the inhomogeneous ionospheric background layer with the time varying local random inhomogeneities of the electron density in order to describe the GNSS signal propagation in the regime of strong scintillation formed already at the heights of the inhomogenous ionosphere. It is then employed for constructing the software simulator capable of generating the field amplitude and phase random time series at any given height above the Earth´s surface and arbitrary geometry of propagation.