Computational Harmonic Analysis for Tensor Fields on the Two-Sphere

Computational Harmonic Analysis for Tensor Fields on the Two-Sphere

In this paper we describe algorithms for the numerical computation of Fourier transforms of tensor fields on the two-sphere, S2. These algorithms reduce the computation of an expansion on tensor spherical harmonics to expansions in scalar spherical harmonics, and hence can take advantage of recent i...

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Veröffentlicht in:Journal of computational physics 2000-08, Vol.162 (2), p.514-535
Hauptverfasser: Kostelec, Peter J., Maslen, David K., Healy, Dennis M., Rockmore, Daniel N.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we describe algorithms for the numerical computation of Fourier transforms of tensor fields on the two-sphere, S2. These algorithms reduce the computation of an expansion on tensor spherical harmonics to expansions in scalar spherical harmonics, and hence can take advantage of recent improvements in the efficiency of computation of scalar spherical harmonic transforms.
ISSN:0021-9991
1090-2716
DOI:10.1006/jcph.2000.6551