Low-frequency induction in a homogeneous sphere by line sources: 1. Formulation and line current excitation
Article first published online: 7 DEC 2012
Copyright 2000 by the American Geophysical Union.
Volume 35, Issue 3, pages 691–702, May-June 2000
How to Cite
2000), Low-frequency induction in a homogeneous sphere by line sources: 1. Formulation and line current excitation, Radio Sci., 35(3), 691–702, doi:10.1029/1999RS002251.(
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 10 MAR 2000
- Manuscript Received: 26 AUG 1999
The problem of low-frequency induction in a sphere by an external line source is amenable to analytic solution by Stevenson's method. This first of two parts develops the complete electromagnetic field solution through first order in frequency, for (magnetic) excitation by zeroth- and first-order line current sources. The solutions can all be expressed in terms of elementary functions. The result serves as a useful test solution for low-frequency electromagnetic modeling codes involving nonuniform sources, and in particular for applications involving power lines. The solution is also applicable to a small sphere in the extreme near field of a linear antenna element.