On the non-uniqueness of main geomagnetic field determined by surface intensity measurements: The Backus problem

Geophysical Journal International

Volumn 159, Issue 2, 2004, Pages 548-554

  Alberto, P ^a   Oliveira, O ^a   Pais, M A ^a  

^a UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

Backus effect; Backus problem; Geomagnetism; Main field models; Non uniqueness

Indexed keywords

GEOMAGNETIC FIELD; HARMONIC ANALYSIS; MAGNETIC INTENSITY;

EID: 8744228844     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2004.02413.x     Document Type: Article

References (20)

1. Arkfen, G.B. & Weber, H.J., 2001. Mathematical Methods for Physicists, 5th edn, Academic Press, New York.
2. Backus, G.E., 1968. Application of a Non-Linear Boundary-Value Problem for Laplace's Equation to Gravity and Geomagnetic Intensity Surveys, Quart. J. Mech. Applied Math., XXI, 195-221.
3. Backus, G.E., 1970. Non-Uniqueness of the External Geomagnetic Field Determined by Surface Intensity Measurements, J. geophys. Res., 75, 6339-6341.
4. Backus, G.E., 1974. Determination of the External Geomagnetic Field from Intensity Measurements, Geophys. Res. Lett., 1, 21.
5. Barraclough, D.R. & Nevin, C.E., 1976. The Effect of Observational Errors on Geomagnetic Field Models Based Solely on Total-Intensity Measurements, Phys. Earth planet. Int., 13, 123-131.
6. Edmonds, A.R., 1996. Angular Momentum in Quantum Mechanics Princeton University Press, Princeton, NJ.
7. Holme, R., 2000. Modelling of attitude error in vector magnetic data: application to Oersted data, Earth Planets Space, 52, 1187-1197.
8. Holme, R. & Bloxham, J., 1995. Alleviation of the Backus effect in geomagnetic field modelling, Geophys. Res. Lett., 22 1641-1644.
9. Hulot, G., Khokhlov, A. & Le Mouel, J.-L., 1997. Uniqueness of mainly dipolar magnetic fields recovered from directional data, Geophys. J. Int., 129, 347-354.
10. Hurwitz, L. & Knapp, D.G., 1974. Inherent Vector Discrepancies in Geomagnetic Main Field Models Based on Scalar F, J. geophys. Res., 79, 3009-3013.
11. Jackson, J.D., 1999. Classical Electrodynamics, John Wiley and Sons, Inc, New York.
12. Kaiser, R. & Neudert, M., 2004. A non-standard boundary value problem related to geomagnetism, Quarterly Appl. Math., in press.
13. Khokhlov, A., Hulot, G. & Le Mouel, J.-L., 1997. On the Backus Effect - I, Geophys. J. Int., 130, 701-703.
14. Khokhlov, A., Hulot, G. & Le Mouel, J.-L., 1999. On the Backus Effect - II, Geophys. J. Int., 137, 816-820.
15. Lowes, F.J., 1975. Vector Errors in Spherical Harmonic Analysis of Scalar Data, Geophys. J. R. astr. Soc., 42, 637-651.
16. Lowes, F.J. & Martin, J.E., 1987. Optimum Use of Satellite Intensity and Vector Data in Modeling the Main Geomagnetic Field, Phys. Earth planet. Int., 48, 183-192.
17. Olsen, N. et al., 2000. Oersted initial field model, Geophys. Res. Lett., 27, 3607-3610.
18. Stern, D.P. & Bredekamp, J.H., 1975. Error Enhancement in Geomagnetic Models Derived from Scalar Data, J. geophys. Res., 80, 1776-1782.
19. Stern, D.P., Langel, R.A. & Mead, G.D., 1980. Backus Effect Observed by Magsat, Geophys. Res. Lett., 7, 941-944.
20. Ultré-Guérard, P., Hamoudi, M. & Hulot, G., 1998. Reducing the Backus Effect Given Some Knowledge of the Dip-Equator, Geophys. Res. Lett., 25, 3201-3204.