Input impedance of vertical dipoles near a lossy half space
Article first published online: 7 DEC 2012
Copyright 1981 by the American Geophysical Union.
Volume 16, Issue 2, pages 179–189, March-April 1981
How to Cite
1981), Input impedance of vertical dipoles near a lossy half space, Radio Sci., 16(2), 179–189, doi:10.1029/RS016i002p00179., and (
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 21 AUG 1980
- Manuscript Received: 9 JUN 1980
Exact solutions are derived for the input impedances of vertical magnetic and electric short dipoles over a lossy half space. The exact solution is expressed as a simple formula and a remainder, which takes the form of a rapidly converging series. Reduction to available approximate solutions in the literature under conditions of large dipole heights, large refractive index of the half space, or both is demonstrated. The derivation of new simple formulae that tend to the exact solutions when the refractive index of the half space approaches both limits of infinity or unity is of particular interest. Numerical examples are presented and compared with published results.