Conventional spherical harmonic analysis for regional modelling of the geomagnetic field

Details Conventional spherical harmonic analysis for regional modelling of the geomagnetic field Conventional spherical harmonic analysis for regional modelling of the geomagnetic field

May 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992georl..19.1065d&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 19, no. 10, May 22, 1992, p. 1065-1067.

Statistics

Computation

6

Geomagnetism, Harmonic Analysis, Mathematical Models, Spherical Harmonics, Coordinate Transformations, Legendre Functions

Scientific paper

The 3D global geomagnetic field is modeled by adjusted spherical harmonic analysis (ASHA), which is based on the expansion of conventional spherical harmonics after the colatitude interval is adjusted to that of a hemisphere. This kind of analysis can also be applied to modeling general 2D functions. ASHA is compared to spherical cap harmonic analysis, which involves the computation of more complex Legendre functions with real harmonic degree.

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