Integral equation formulation and solution for extended vertical current sheets in multilayered planar structures
Article first published online: 4 APR 2003
Copyright 2003 by the American Geophysical Union.
Volume 38, Issue 2, April 2003
How to Cite
2003), Integral equation formulation and solution for extended vertical current sheets in multilayered planar structures, Radio Sci., 38, 8016, doi:10.1029/2001RS002572, 2., and (
- Issue published online: 4 APR 2003
- Article first published online: 4 APR 2003
- Manuscript Accepted: 29 JAN 2003
- Manuscript Received: 21 NOV 2001
- integral equation;
- multilayered medium;
- Green's function;
- vertical current;
- mixed potential
 The integral analysis of multilayered planar structures owes its high efficiency to the excellent matching of the Spectral Domain Approach (SDA) to the planar nature of the problem. This highly efficient approach is strongly encroached upon when arbitrary three-dimensional (3-D) surfaces in a multilayered environment have to be analyzed. However, for 3-D structures that consist of horizontal and strictly vertical conducting surfaces, the analytical possibilities of the SDA can be exploited further. The integral equation formulation is adapted to the geometry by expressing it in a hybrid dyadic-mixed potential form. The solution is improved with a combined spectral-spatial domain approach, where part of the reaction integrals are done in closed form in the spectral domain. This modified method avoids most theoretical and numerical problems, while the majority of practical 3-D problems in stratified media can still be handled.