SHTools: Tools for Working with Spherical Harmonics

作者: Mark A. Wieczorek , Matthias Meschede

DOI: 10.1029/2018GC007529

关键词: SoftwarePhase factorComputational sciencePython (programming language)Spherical harmonicsGridGeologySpherical geometryFortranHarmonics

摘要: … Alternatively, one can calculate the average power per coefficient at spherical harmonic degree l, which we will refer to as the power per lm. Since there are urn:x-wiley:15252027:media:…

参考文章(22)
C. Jekeli, Potential Theory and Static Gravity Field of the Earth Reference Module in Earth Systems and Environmental Sciences#R##N#Treatise on Geophysics (Second Edition). ,vol. 3, pp. 11- 42 ,(2007) , 10.1016/B978-0-444-53802-4.00056-7
K. M. Gorski, E. Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke, M. Bartelmann, HEALPix: A Framework for High-Resolution Discretization and Fast Analysis of Data Distributed on the Sphere The Astrophysical Journal. ,vol. 622, pp. 759- 771 ,(2005) , 10.1086/427976
P. Wessel, W. H. F. Smith, Free software helps map and display data Eos, Transactions American Geophysical Union. ,vol. 72, pp. 441- 446 ,(1991) , 10.1029/90EO00319
Ciarán D. Beggan, Jarno Saarimäki, Kathryn A. Whaler, Frederik J. Simons, Spectral and spatial decomposition of lithospheric magnetic field models using spherical Slepian functions Geophysical Journal International. ,vol. 193, pp. 136- 148 ,(2013) , 10.1093/GJI/GGS122
Frederik J. Simons, F. A. Dahlen, Mark A. Wieczorek, Spatiospectral Concentration on a Sphere SIAM Review. ,vol. 48, pp. 504- 536 ,(2006) , 10.1137/S0036144504445765
M. Frigo, S.G. Johnson, The Design and Implementation of FFTW3 Proceedings of the IEEE. ,vol. 93, pp. 216- 231 ,(2005) , 10.1109/JPROC.2004.840301