On the reconstruction of inducing dipole directions and susceptibilities from knowledge of the magnetic field on a sphere

作者: Christian Gerhards

DOI: 10.1080/17415977.2018.1438426

关键词: Condensed matter physicsMagnetic dipoleMagnetic potentialDipoleUniquenessMagnetizationPhysicsMagnetic field

摘要: Reconstructing magnetizations from measurements of the generated magnetic potential is generally non-unique. The non-uniqueness still remains if one restricts magnetization to those induced by ...

参考文章(26)
Robert L. Parker, Catherine Constable, George Backus, Foundations of geomagnetism ,(1996)
Eduardo A. Lima, Benjamin P. Weiss, Laurent Baratchart, Douglas P. Hardin, Edward B. Saff, Fast inversion of magnetic field maps of unidirectional planar geological magnetization Journal of Geophysical Research. ,vol. 118, pp. 2723- 2752 ,(2013) , 10.1002/JGRB.50229
Willi Freeden, Michael Schreiner, Spherical Functions of Mathematical Geosciences ,(2008)
L Baratchart, D P Hardin, E A Lima, E B Saff, B P Weiss, Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions Inverse Problems. ,vol. 29, pp. 015004- ,(2013) , 10.1088/0266-5611/29/1/015004
Kerstin Hesse, Robert S. Womersley, Numerical integration with polynomial exactness over a spherical cap Advances in Computational Mathematics. ,vol. 36, pp. 451- 483 ,(2012) , 10.1007/S10444-011-9187-2
S. K. RUNCORN, An ancient lunar magnetic dipole field Nature. ,vol. 253, pp. 701- 703 ,(1975) , 10.1038/253701A0