Rectangular harmonic analysis applied to the geomagnetic field

Details Rectangular harmonic analysis applied to the geomagnetic field Rectangular harmonic analysis applied to the geomagnetic field

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981jgr....86.3021a&link_type=abstract

Journal of Geophysical Research, vol. 86, Apr. 10, 1981, p. 3021-3026.

Physics

25

Geomagnetism, Harmonic Analysis, Spherical Harmonics, Europe, Laplace Equation, Least Squares Method

Scientific paper

The limited resolution that can be obtained through spherical harmonic analysis of the earth's magnetic field can be overcome by the use of rectangular harmonic analysis in successively smaller areas, so that the data are more fully utilized. Rectangular harmonic analysis is first illustrated for Europe and then for a subset of the data (a smaller European area), in which magnetic field observations at 15 sites are computed to a root mean square residual of only 7 nT for all three components using two sets of rectangular harmonic coefficients and a world chart model. It is shown that the rectangular and spherical harmonic analyses are complementary.

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