ePrints

Magnetic multipole moments (Gauss coefficients) and vector potential given by an arbitrary current distribution

Lookup NU author(s): Dr Frank Lowes

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.

Abstract

Until recently there has been nothing in the geomagnetic literature giving the Gauss coefficients (equivalent to magnetic multipole moments) for the magnetic scalar potential produced outside a finite-sized region of electric current. Nor has there been an expression for the corresponding magnetic vector potential. This paper presents a simple expression for the Gauss coefficients in terms of a volume integral over the current, and also a series expansion of the vector potential in terms of these coefficients. We show how our result is related to the classical expressions for the scalar potential given by a spherical current sheet, and to the results of the recent papers by Engels and Olsen (1998), Stump and Pollack (1998) and Kazantsev (1999).

Publication metadata

Author(s): Lowes FJ, Duka B

Publication type: Article

Publication status: Published

Journal: Earth, Planets and Space

Year: 2011

Volume: 63

Issue: 12

Pages: i-vi

Print publication date: 01/01/2011

ISSN (print): 1343-8832

ISSN (electronic):

Publisher: Terra Scientific Publishing Company

URL: http://dx.doi.org/10.5047/eps.2011.08.005

DOI: 10.5047/eps.2011.08.005

Altmetrics

Share