Analytical modelling of the electric field distribution in the high-latitude ionosphere

Physics

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Electric Fields, Ionospheric Conductivity, Ionospheric Currents, Magnetosphere-Ionosphere Coupling, Polar Regions, Atmospheric Models, Convection, F Region, Fourier Series

Scientific paper

An analytical approach is implemented for self-consistent modelling of the high-latitude convection electric field. Input parameters are determined as distributions of field-aligned currents and height-integrated conductivity. The high-latitude ionosphere is approximated with an arbitrary number of concentric rings. The height-integrated conductivity is independent of co-latitude within any ring, but depends on the longitude. The field-aligned currents flow only along the boundaries of each ring and are presented by Fourier series in longitude. The analytical solution for the potential as a function of longitude is also presented as a Fourier series. An analytical solution is obtained for the potential dependencies on colatitude. For the extreme case, when the integrated conductivity does not depend on longitude, this solution coincides with the analytical results obtained by other authors. Based on this solution, the potential distribution in the high-latitude ionosphere is shown.

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