Abstract
Abstract. In this paper we develop a new method for the analysis of excitation and propagation of planetary electromagnetic waves (PEMW) in the ionosphere of the Earth. The nonlinear system of equations for PEMW, valid for any height, from D to F regions, including intermediate altitudes between D and E and between E and F regions, is derived. In particular, we have found the system of nonlinear one-fluid MHD equations in the β-plane approximation valid for the ionospheric F region (Aburjania et al., 2003a, 2005). The series expansion in a "small" (relative to the local geomagnetic field) non-stationary magnetic field has been applied only at the last step of the derivation of the equations. The small mechanical vertical displacement of the media is taken into account. We have shown that obtained equations can be reduced to the well-known system with Larichev–Reznik vortex solution in the equatorial region (see e.g. Aburjania et al., 2002). The excitation of planetary electromagnetic waves by different initial perturbations has been investigated numerically. Some means for the PEMW detection and data processing are discussed.
Highlights
Introduction and formulation of the problemIn recent years a considerable effort has been made for treating waves propagation problems in the inhomogeneous Earth’s ionosphere
In this paper we develop a new method for the analysis of excitation and propagation of planetary electromagnetic waves (PEMW) in the ionosphere of the Earth
Earlier studies have shown that MHD waves, propagating along a magnetic field line through the magnetosphere between the magneto-conjugated ionospheres could transform into horizontally propagating hydromagnetic waves
Summary
In recent years a considerable effort has been made for treating waves propagation problems in the inhomogeneous Earth’s ionosphere (see e.g. Clark et al, 1971; Rapoport et al, 2004, 2009; Sorokin and Fedorovich, 1982; Alperovich and Fedorov, 2007). The nonlinear equations for PEMW at arbitrary heights from D to F regions in the “linear Ohm’s law” approximation outlined in Sect. (13)–(16), along with the first and second equations in (12), complete the close nonlinear system for PEMW This system is valid for any heights from the D to F regions of the ionosphere. Additional terms associated with an electric field and Ampere force, which is physically associated with the Lorentz force, come up in the nonlinear equations for the magnetic field and velocity (see Eqs. 13 and 15). Another nonlinear term is associated with convective nonlinearity. These values are in qualitative agreement with observational results of nearly longitudinal propagation of slow MHD/PEMW disturbances (Burmaka et al, 2006; Aburjania and Chargazia, 2011)
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