Summary
The solution of the direct magnetic problem is derived for three-dimensional bodies under the assumption that the components of the magnetization vector are analytical functions of the co-ordinates within the body being considered. The solution to the problem is given in the form of Green-type integrals and, much like with gravitational fields of inhomogeneous bodies, it may serve the purpose of solving the problem of the analytical continuation of the external field into the body.
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Kolbenheyer, T. On one method of solving the three-dimensional direct magnetic problem. Stud Geophys Geod 21, 316–320 (1977). https://doi.org/10.1007/BF01613262
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DOI: https://doi.org/10.1007/BF01613262