Computation of magnetic fields within source regions of ionospheric and magnetospheric currents

U. Engels, Nils Olsen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

A general method of computing the magnetic effect caused by a predetermined three-dimensional external current density is presented. It takes advantage of the representation of solenoidal vector fields in terms of toroidal and poloidal modes expressed by two independent series of spherical harmonics. In order to rest the method, it is applied to two ionospheric-magnetospheric model current densities. The first example assumes a special large-scale current system which has an analytical solution for the magnetic field everywhere. In the second example, the results for a model current distribution that is of small-scale at high latitudes are compared with a direct integration using Biot-Savart's law. It is demonstrated that the method provides a fast and numerically stable determination of the magnetic field both outside and inside the current density.
Original languageEnglish
JournalJournal of Atmospheric and Solar-Terrestrial Physics
Volume60
Issue number16
Pages (from-to)1585-1592
ISSN1364-6826
Publication statusPublished - 1998

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