Exact solution for the electromagnetic fields of a uniform linecurrent parallel to a flat homogeneous Earth
Abstract
A detailed stepbystep description is given of the exact solution of the boundaryvalue problem of calculating the fields of a uniform, sinusoidally varying, straightline current flowing at a fixed height above a flat homogeneous earth of arbitrary dielectric constant and conductivity. The solution satisfies Maxwell's equations and boundary conditions, reduces to Ampere's Law at the current itself, and hence includes the radiation fields. The results contain integrals with infinite limits, but these can be evaluated numerically in specific cases of interest. As an example, the resistivity induced in a wire 10 m above the earth of 1/1000 mho/m conductivity is calculated for a frequency of 35 kHz.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 April 1982
 Bibcode:
 1982STIN...8315557L
 Keywords:

 Boundary Value Problems;
 Earth Surface;
 Electromagnetic Fields;
 Horizontal Orientation;
 Line Current;
 Antenna Radiation Patterns;
 Boundary Conditions;
 Electric Wire;
 Electrical Resistivity;
 Maxwell Equation;
 Communications and Radar