ON THE NON-UNIQUENESS OF MAIN GEOMAGNETIC FIELD DETERMINED BY SURFACE INTENSITY MEASUREMENTS: THE BACKUS PROBLEM
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dc.contributor.author | Alberto P. | |
dc.contributor.author | Oliveira O. | |
dc.contributor.author | Pais M.A. | |
dc.date.accessioned | 2022-10-10T04:25:13Z | |
dc.date.available | 2022-10-10T04:25:13Z | |
dc.date.issued | 2004 | |
dc.identifier | https://elibrary.ru/item.asp?id=14244279 | |
dc.identifier.citation | Geophysical Journal International, 2004, 159, 2, 548-554 | |
dc.identifier.issn | 0956-540X | |
dc.identifier.uri | https://repository.geologyscience.ru/handle/123456789/38949 | |
dc.description.abstract | We revisit the problem of non-uniqueness of harmonic magnetic field models in a region outside a sphere containing the field sources, when only intensity values on the sphere surface are known. Using the angular momentum algebra and the Clebsch-Gordan coefficients, we are able to treat different aspects of this non-uniqueness following a unified line of reasoning. In this new framework, we first recover two Backus results, namely the proof of uniqueness in the case of a field generated by a finite number of harmonics and the recurrence relation that defines the well-known Backus series. This formalism allows us to extend previous studies in two ways: firstly, we show how to produce an harmonic series orthogonal on the sphere to some other arbitrary harmonic series; secondly, we outline a new method for computing magnetic field models starting from scalar intensity values alone. | |
dc.subject | Backus effect | |
dc.subject | Backus problem | |
dc.subject | geomagnetism | |
dc.subject | main field models | |
dc.subject | nonuniqueness | |
dc.title | ON THE NON-UNIQUENESS OF MAIN GEOMAGNETIC FIELD DETERMINED BY SURFACE INTENSITY MEASUREMENTS: THE BACKUS PROBLEM | |
dc.type | Статья |
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