Exact Solution of Far-Region Scattering Electromagnetic Fields by a Dipole Antenna Located on a Planar Multi-Layered Earth

A model of three-dimensional electromagnetic (EM) scattering from a vertical magnetic dipole (VMD) antenna placed on a planar multi-layered earth within homogeneous-layered or vertically inhomogeneous media is used to derived approximate formulas for the electromagnetic fields (EMFs) scattering in far region. Furthermore, exact solution to the electromagnetic fields (EMFs) are computed in several different cases, and numerical simulations are executed to show the validity of the used method, which can be valid irrespective of the operating frequency, over the preceding solutions, in addition to its benefits in saving time over others techniques.