On the Analysis of Surface Magnetic Fields by Integrals, Part I

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Abstract
This paper forms Part 1 of a series presenting a very general method of analyzing surface geomagnetic fields by means of surface‐integrals. In geophysical applications the method is free from some of the limitations usual to spherical harmonic analysis. A practical means is afforded for separating a magnetic field observed over a closed regular surface into parts originating inside and outside the surface. Relations between the potential and its space‐derivatives in the immediate neighborhood of a closed surface are developed, especially for spherical and plane surfaces. The method of surface‐integrals may be used for complicated magnetic fields, such as those of magnetic storms, and in magnetic geophysical prospecting. It is naturally adapted to numerical and possibly machine procedures. The calculation of the field and current‐systems in regions of free space adjacent to a closed surface is considered in Part 2 (to appear subsequently), along with certain applications of the method in Part 3.

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