TY  - JOUR
AU  - Thébault, E.
AU  - Schott, J. J.
AU  - Mandea, M.
PY  - 2006//
TI  - Revised spherical cap harmonic analysis (R-SCHA): Validation and properties
T2  - J. Geophys. Res.
JO  - Journal of geophysical research-atmospheres
VL  - 111
PB  - American Geophysical Union
KW  - magnetism
KW  - regional modeling
KW  - Spherical Cap Harmonic Analysis
KW  - 1214 Geodesy and Gravity: Geopotential theory and determination
KW  - 1517 Geomagnetism and Paleomagnetism: Magnetic anomalies: modeling and interpretation
KW  - 1532 Geomagnetism and Paleomagnetism: Reference fields: regional
KW  - global
KW  - 1541 Geomagnetism and Paleomagnetism: Satellite magnetics: main field
KW  - crustal field
KW  - external field
KW  - 1545 Geomagnetism and Paleomagnetism: Spatial variations: all harmonics and anomalies
N2  - We recently proposed a technique able to represent the spatial variations of the magnetic field at regional scales. However, we pointed out that these preliminary developments were not suited for the complete representation of the geomagnetic field. In this paper, we propose a complete revision, the revised spherical cap harmonic analysis (R-SCHA), which introduces slight changes in order to rectify the previous shortcomings. In addition, some discussions shed a new light on the former spherical cap harmonic analysis (SCHA) and help us to demonstrate its deficiencies and approximations. We finally show that R-SCHA now fully satisfies the natural properties of potential fields. R-SCHA also yields analytical relationships with the spherical harmonics. Taking advantage of the mathematical equivalence of both representations, we explore the relevance of fundamental concepts like spectrum, minimum wavelength, or internal/external field separation. We conclude that these concepts are misleading and must be handled with care in regional modeling. A prime goal being the ability of R-SCHA to represent real data sets, we also investigate and illustrate the effect of finite series expansions. A norm for the regularization of the inverse problem is proposed as well. The conclusions drawn in this paper allow us to validate the method and to assert that the present proposal is suited for modeling and studying the lithospheric magnetic field from ground to satellite altitudes at regional scales.
SN  - 0148-0227
UR  - http://dx.doi.org/10.1029/2005JB003836
N1  - exported from refbase (http://publi.ipev.fr/polar_references/show.php?record=5626), last updated on Tue, 28 Apr 2009 10:05:45 +0200
ID  - Thebault_etal2006
ER  -