Computational Harmonic Analysis for Tensor Fields on the Two-Sphere

✍ Scribed by Peter J. Kostelec; David K. Maslen; Dennis M. Healy Jr.; Daniel N. Rockmore

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 144 KB
• Volume: 162
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.2000.6551

✦ Synopsis

In this paper we describe algorithms for the numerical computation of Fourier transforms of tensor fields on the two-sphere, S 2 . 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.