Abstract

A multiscale method using spherical vectorial wavelets for the computation of radial current distributions from CHAMP-FGM data is presented. The considerations are essentially based on the Mie representation of solenoidal vector fields in terms of toroidal and poloidal parts as well as the Helmholtz decomposition of spherical vector fields. It will be shown how a vectorial wavelet representation of the geomagnetic field at the satellite’s orbit can be used to determine a multiscale approximation of the radial current distribution at that height by considering the connection of the toroidal magnetic field scalar with the radial part of the current distribution via the Beltrami differential equation. The applicability and efficiency of the multiresolution technique will be illustrated and first results obtained from CHAMP-FGM data will be presented.

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