Fourier transform on the sphere starting from the latitudinal direction

Suzune Nomura; Takeshi Enomoto

Presentation information

[J] Poster

M (Multidisciplinary and Interdisciplinary) » M-GI General Geosciences, Information Geosciences & Simulations

[M-GI30] Computational sciences on the universe, galaxies, stars, planets and their environments

Tue. May 27, 2025 5:15 PM - 7:15 PM Poster Hall (Exhibition Hall 7&8, Makuhari Messe)

convener:Wataru Ohfuchi(Kobe University), Junichiro Makino(Kobe University), Masanori Kameyama(Geodynamics Research Center, Ehime University), Hideyuki Hotta(Nagoya University)

5:15 PM - 7:15 PM

[MGI30-P02] Fourier transform on the sphere starting from the latitudinal direction

*Suzune Nomura¹, Takeshi Enomoto² (1.Graduate School of Science, Kyoto University , 2.Disaster Prevention Research Institute, Kyoto University)

Keywords:Fourier transform, parity, isotropic filter, dynamical core

The Fourier transform on the sphere offers substantial computational advantages, making it more useful than the spherical harmonic transform. This study improves the Fourier transform on the sphere, initially suggested by Orszag (1974) and Yee (1980). These studies of the transform method begin with the longitudinal direction and then proceed to the latitudinal direction. However, this method complicates the handling of parity. In this study, parity is simplified by a transformation of the latitudinal direction. Furthermore, isotropic filters based on this transformation are presented.