Geomagnetic main field analysis at the core-mantle boundary - Spherical harmonics compared with harmonic splines

Details Geomagnetic main field analysis at the core-mantle boundary - Spherical harmonics compared with harmonic splines Geomagnetic main field analysis at the core-mantle boundary - Spherical harmonics compared with harmonic splines

Dec 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986georl..13.1533b&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 13, Dec. 1986, p. 1533-1536.

Physics

4

Earth Core, Earth Mantle, Geomagnetism, Spherical Harmonics, Spline Functions, Approximation, Roughness

Scientific paper

An optimum truncation level, N, in a spherical-harmonic analysis of the geomagnetic main field at the core-mantle boundary is determined by harmonic-spline analysis. Specifically, that value of N is found at which the two analyses are closest in a well defined sense and, for that value of N, the 'closeness' of two models is determined. Depending slightly on the definition of closeness, optimum N is found to be either 10 or 11. For those values the two analyses give remarkably similar results, showing that the conveniences of spherical harmonics can be retained with little penalty.

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