A finite difference solution of the polar electrojet current mapping boundary value problem

Physics

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Boundary Value Problems, Field Aligned Currents, Finite Difference Theory, Ionospheric Currents, Polar Regions, Atmospheric Electricity, Auroral Electrojets, D Region, Magnetic Storms, Potential Theory

Scientific paper

An investigation is made of how the polar electrojet currents and associated electric fields map down to the ground. The BVP which characterizes the downward mapping of the electrojet current is formulated using potential theory. The electrojet current is represented by a simple Cowling model in which the geomagnetic field is vertical. A numerical solution to the electrojet mapping BVP is obtained via a finite-difference technique. This model is employed to study the downward mapping of the polar electrojet current during intense magnetic storms occurring under sunspot-maximum daytime conditions. Results of this analysis suggest that, as the current maps down through the D region from an electrojet source in the E region, it is being attenuated as well as rotated. The rotation, however, is not present at altitudes below the D region. A possible application of electrojet mapping theory to the interpretation of high-latitude ionospheric modification data taken during polar electrojet events is discussed.

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