Please use this identifier to cite or link to this item:
http://hdl.handle.net/2122/3965
DC Field | Value | Language |
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dc.contributor.authorall | De Santis, A.; Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma2, Roma, Italia | en |
dc.contributor.authorall | Torta, J. M.; Observatori de l'Ebre, CSIC, 43520 Roquetes, Tarragona, Spain | en |
dc.contributor.authorall | Lowes, F. J.; Physics Department, University of Newcastle Upon Tyne, NE1 7RU, U.K. | en |
dc.date.accessioned | 2008-07-15T10:18:29Z | en |
dc.date.available | 2008-07-15T10:18:29Z | en |
dc.date.issued | 1999 | en |
dc.identifier.uri | http://hdl.handle.net/2122/3965 | en |
dc.description.abstract | The "global" representation of the geomagnetic field in terms of ordinary spherical harmonics (SHs) and its corresponding set {g,h} of coefficients has been studied extensively, but the "local" representation in terms of spherical cap harmonics (SCHs) and its corresponding set {G,H} of coefficients is not yet well understood. This paper clarifies some of the main properties of the SCHs and their proper use along with their relationship with the SHs. In particular, it shows that for the spherical cap part of a global field specified by spherical harmonics there is a strict relation between the ordinary Legendre functions of the global representation and the fractional functions of the local expansion; hence we can express the set of coefficients {G,H} in terms of the set {g,h}. Finally, some attention will be given to the role of the leading (n=0, m=0) term of the SCH expansion. | en |
dc.language.iso | English | en |
dc.publisher.name | Elsevier | en |
dc.relation.ispartof | Physics and Chemistry of the Earth (A) | en |
dc.relation.ispartofseries | 11-12 / 24 (1999) | en |
dc.subject | spherical cap harmonics | en |
dc.subject | spherical harmonics | en |
dc.subject | geomagnetic field modelling | en |
dc.title | Spherical Cap Harmonics Revisited and their Relationship to Ordinary Spherical Harmonics | en |
dc.type | article | en |
dc.description.status | Published | en |
dc.type.QualityControl | Peer-reviewed | en |
dc.description.pagenumber | 935-941 | en |
dc.subject.INGV | 04. Solid Earth::04.05. Geomagnetism::04.05.03. Global and regional models | en |
dc.subject.INGV | 05. General::05.05. Mathematical geophysics::05.05.99. General or miscellaneous | en |
dc.description.journalType | JCR Journal | en |
dc.description.fulltext | reserved | en |
dc.contributor.author | De Santis, A. | en |
dc.contributor.author | Torta, J. M. | en |
dc.contributor.author | Lowes, F. J. | en |
dc.contributor.department | Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma2, Roma, Italia | en |
dc.contributor.department | Observatori de l'Ebre, CSIC, 43520 Roquetes, Tarragona, Spain | en |
dc.contributor.department | Physics Department, University of Newcastle Upon Tyne, NE1 7RU, U.K. | en |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.grantfulltext | restricted | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
crisitem.author.dept | Istituto Nazionale di Geofisica e Vulcanologia (INGV), Sezione Roma2, Roma, Italia | - |
crisitem.author.dept | Observatori de l’Ebre, CSIC - URL, Horta Alta 38, 43520 Roquetes, Spain | - |
crisitem.author.dept | Physics Department, University of Newcastle Upon Tyne, NE1 7RU, U.K. | - |
crisitem.author.orcid | 0000-0002-3941-656X | - |
crisitem.author.parentorg | Istituto Nazionale di Geofisica e Vulcanologia | - |
crisitem.classification.parent | 04. Solid Earth | - |
crisitem.classification.parent | 05. General | - |
crisitem.department.parentorg | Istituto Nazionale di Geofisica e Vulcanologia | - |
Appears in Collections: | Article published / in press |
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