Exact Solution for the Electromagnetic Fields of a Uniform Line-Current Parallel to a Flat Homogeneous Earth

摘要

A detailed step-by-step description is given of the exact solution of the boundary-value problem of calculating the fields of a uniform, sinusoidally varying, straight-line 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. (Author)