Details

Autor(en) / Beteiligte

• Wieczorek, Mark A.
• Meschede, Matthias

Titel

SHTools: Tools for Working with Spherical Harmonics

Ist Teil von

• Geochemistry, geophysics, geosystems : G3, 2018-08, Vol.19 (8), p.2574-2592

Ort / Verlag

Washington: John Wiley & Sons, Inc

Erscheinungsjahr

2018

Quelle

Wiley Online Library Journals

Beschreibungen/Notizen

• Geophysical analyses are often performed in spherical geometry and require the use of spherical harmonic functions to express observables or physical quantities. When expanded to high degree, the accuracy and speed of the spherical harmonic transforms and reconstructions are of paramount importance. SHTools is a time and user‐tested open‐source archive of both Fortran 95 and Python routines for performing spherical harmonic analyses. The routines support all spherical‐harmonic normalization conventions used in the geosciences, including 4π‐normalized, Schmidt seminormalized, orthonormalized, and unnormalized harmonics, along with the option of employing the Condon‐Shortley phase factor of (−1)m. Data on the sphere can be sampled on a variety of grid formats, including equally spaced cylindrical grids and grids appropriate for integration by Gauss‐Legendre quadrature. The spherical‐harmonic transforms are proven to be fast and accurate for spherical harmonic degrees up to 2800. Several tools are provided for the geoscientist, including routines for performing localized spectral analyses and basic operations related to global gravity and magnetic fields. In the Python environment, operations are very simple to perform as a result of three class structures that encompass all operations on grids, spherical harmonic coefficients, and spatiospectral localization windows. SHTools is released under the unrestrictive BSD 3‐clause license. Key Points SHTools is an archive of Fortran 95 and Python software for spherical harmonic analyses The routines are fast, accurate, and support all normalization conventions used in the geosciences SHTools is open source, versioned by git, and is released with an unrestrictive license