The electromagnetic field of a horizontal electric dipole in the presence of a three-layered region

The electromagnetic field generated by a horizontal electric dipole in the air over the surface of a two‐layered region is determined for continuous‐wave excitation. The region of interest consists of a conductor coated with an electrically thin layer of dielectric under a half‐space of air. Simple explicit formulas are derived for the field at all points in all three regions, including the surface wave. Typical applications are to microstrip circuits and antennas and to remote sensing from the arctic ice.