Multipolar bases of equivalent magnetic sources on arbitrary surfaces
Résumé
Decreasing Spherical Harmonic Functions (DSHF) provide a natural base for the magnetic scalar potential far enough from the sources. This multipolar expansion orders the magnetic field according to its decreasing rate and spatial periodicity. Unfortunately, this representation is not valid close to the sources. In this paper we will construct a basis for double-layer potential distributions on a surface, as close to the sources as needed, which is valid next to the sources while exhibiting a multipolar expansion property.
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