The harmonic expansion of the scalar and vector potentials of a magnetic dipole.

Details The harmonic expansion of the scalar and vector potentials of a magnetic dipole. The harmonic expansion of the scalar and vector potentials of a magnetic dipole.

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986geoji..86..263a&link_type=abstract

Geophysical Journal International, Vol. 86, No. 2, p. 263 - 275

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Geomagnetic Field:Models

Scientific paper

In many physical applications, and in particular in geomagnetism, the harmonic expansion (or integral expression) of the scalar and vector potentials at an arbitrary point P of a magnetic dipole of moment M situated at P0 relative to a specified origin O is required. In the present paper, the above expansions and integrals in three-dimensional Cartesian, spherical, cylindrical and spheroidal harmonics are obtained by a simple and general method. Expressions for the scalar and vector potentials of a uniform infinite line dipole in two-dimensional Cartesian, polar and elliptical harmonics are also obtained.

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