Ionospheric Electric-Field Basis Functions Discontinuous at the Boundary Between Closed and Open Magnetic Field Lines

Physics

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2411 Electric Fields (2712), 2494 Instruments And Techniques, 2712 Electric Fields (2411), 2760 Plasma Convection, 2794 Instruments And Techniques

Scientific paper

In some simple models of magnetospheric electrodynamics [e.g., Volland, Ann. Geophys., 31, 154-173, 1975], the normal component of the convection electric field is discontinuous across the boundary between closed and open magnetic field lines. The requisite discontinuity in E is achieved by making the scalar potential proportional to a positive power (typically 1 or 2) of L on closed field lines and to a negative power (typically -1/2) of L on open (i.e., polar-cap) field lines. This suggests that it may be advantageous to construct more realistic (and thus more complicated) magnetospheric and ionospheric electric-field models from superpositions of mutually orthogonal (or not) vector basis functions having this same analytical property (i.e., discontinuity at L = L*, the boundary surface between closed and open magnetic field lines). The present work offers a few examples of such constructions.

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