Euler potentials of current-free fields expressed in spherical harmonics

Details Euler potentials of current-free fields expressed in spherical harmonics Euler potentials of current-free fields expressed in spherical harmonics

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jgr....99.2443s&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 99, no. A2, p. 2443-2445

Physics

7

Euler Equations Of Motion, Magnetic Field Configurations, Potential Fields, Spherical Harmonics, Geomagnetism, Poloidal Flux, Vector Analysis

Scientific paper

Given a magnetic field B = -del(vector differential operator)(sub gamma) with gamma expanded in spherical harmonics, it is shown that analytic Euler potentials may be derived for B if gamma is asymmetrical but contains only the contribution of a single index n. This work generalizes a result for sectorial harmonics with n = m, derived by Willis and Gardiner (1988).

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