Electromagnetic field over the spherical Earth coated with N-layered dielectric

Abstract

The electromagnetic field in the air generated by a dipole source over an electrically spherical Earth coated with n-layered dielectric is determined for continuous-wave excitation. The region of interest consists of the spherical dielectric Earth, coated with the dielectric layer composing a succession of n spherically bounded layer under the air. In this paper, the surface impedance at any point in the n-layered dielectric for the electromagnetic field of electric type is presented, and the formulas are derived for the electromagnetic field in the air of a vertical electric dipole. Similarly, the surface admittance for the electromagnetic field of magnetic type is presented, and the formulas are derived for the electromagnetic field of a vertical magnetic dipole. Based on the above results, using reciprocity theorem, the formulas are derived readily for the six components of the electromagnetic field generated by a horizontal electric dipole.