Abstract
This chapter reviews results of potential theory as far as they are significant for the understanding of dipole potential based magnetometry. The various questions and problems of dipole-oriented magnetometry are made scientifically available.
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References
Backus, G.E., Parker, R., Constable, C.: Foundations of Geomagnetism. Cambridge University, Cambridge (1996)
Blakely, R.J.: Potential Theory in Gravity and Magnetic Application. Cambridge University, Cambridge (1996)
Carmichael, R.S.: Magnetic properties of minerals and rocks. In: Carmichael, R.S. (ed.) Handbook of Physical Properties of Rocks, vol. II. CRC Press, Boca Raton (1982)
Chapman, S., Bartels, J.: Geomagnetism. Oxford University, Oxford (1940)
Claerbout J.F.: Fundamentals of geophysical data processing: with applications to Petroleum Prospecting. McGraw Hill, New York (1976)
Clark, D.A., Emerson, J.B.: Notes on rock magnetization characteristics in applied geophysical studies. Explor. Geophys. 22, 448–455 (1991)
Elsasser, W.M.: Induction effects in terrestrial magnetism. I. Theory. Phys. Rev. 69, 106–116 (1946)
Freeden, W., Gerhards, C.: Geomathematically Oriented Potential Theory. CRC Press/Taylor and Francis, Boca Raton (2013)
Freeden, W., Nashed, Z., Sonar, T. (eds.): Handbook of Geomathematics, 2nd edn., vol. 1,2, and 3. Springer, New York (2015)
Gauss, C.F.: Allgemeine Theorie des Erdmagnetismus. Resultate aus den Beobachtungen des magnetischen Vereins, Göttingen (1838)
Hauser, W.: Introduction to the Principles of Electromagnetism. Addison-Wesley, Boston (1971)
Jackson, J.D.: Classical Electrodynamics. Wiley, New York (1998)
Kellogg, O.D.: Foundations of Potential Theory. Frederick Ungar Publishing Company, New York (1929)
Mares̆, S., Tvrdý, M.: Introduction to Applied Geophysics. Kluwer, Dordrecht (1984)
Martensen, E.: Potentialtheorie. In: Leitfäden der Angewandten Mathematik und Mechanik, Bd., vol. 12. Teubner, Leipzig (1968)
Müller, C.: Foundations of the Mathematical Theory of Electromagnetic Waves. Springer, Berlin (1969)
Morse, P.M., Feshbach, H., Hill, E.L.: Methods of Theoretical Physics. McGraw-Hill, New York (1953)
Parkinson, W.D.: Introduction to Geomagnetism. Scottish Academic Press, Edinburgh (1983)
Paterson, N.R., Reeves, C.V.: Applications of Gravity and Magnetic Surveys: The State-of-the-Art. Geophysics 50, 2558–2594 (1985)
Rivas, J.: Gravity and magnetic methods. In: Short Course on Surface Exploration for Geothermal Resources, Organized by UNU-GTP and LaGeo, in Ahuachapan and Santa Tecla, El Salvador, pp. 1–13 (2009)
Turcotte, D.L., Schubert, G.: Geodynamics. Cambridge University, Cambridge (2001)
Valenta, J.: Introduction to Geophysics–Lecture Notes. Czech Republic Development Cooperation, Prague (2015)
Walter, W.: Einführung in die Potentialtheorie. In: BI Hochschulskripten, pp. 765/765a (1971)
Wapler, C., Leupold, J., Dragonu, I., von Elverfeld, D., Zaitsev, M., Wallrabea, U.: Magnetic properties of materials for MR engineering, micro-MR and beyond. J. Magn. Reson. 242, 233–242 (2014)
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Blick, C., Freeden, W., Nashed, M.Z., Nutz, H., Schreiner, M. (2021). Dipole Potential Based Magnetometry. In: Inverse Magnetometry. Lecture Notes in Geosystems Mathematics and Computing. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-79508-5_3
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DOI: https://doi.org/10.1007/978-3-030-79508-5_3
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