Electromagnetic Pulse of a Vertical Electric Dipole in the Presence of Three-Layered Region

D Cheng,T He,T T Gu,P Cao,K Li

doi:10.1155/2015/276863

Abstract

Approximate formulas are obtained for the electromagnetic pulses due to a delta-function current in a vertical electric dipole on the planar surface of a perfect conductor coated by a dielectric layer. The new approximated formulas for the electromagnetic field in time domain are retreated analytically and some new results are obtained. Computations and discussions are carried out for the time-domain field components radiated by a vertical electric dipole in the presence of three-layered region. It is shown that the trapped-surface-wave terms should be included in the total transient field when both the vertical electric dipole and the observation point are on or near the planar surface of the dielectric-coated earth.

Highlights

It is known that the properties of the electromagnetic wave radiated by a vertical or horizontal electric dipole in the presence of layered region have been studied analytically by many researchers over a century
Some important work on the exact formulas for the transient field radiated by a vertical electric dipole with delta-function excitation on the boundary of two dielectrics was carried out by Wu and King [20]
We are attempting to derive the analytical formulas for the transient pulses radiated by a vertical electric dipole with a delta-function excitation on the surface of a perfect conductor coated with a dielectric layer

Summary

Introduction

It is known that the properties of the electromagnetic wave radiated by a vertical or horizontal electric dipole in the presence of layered region have been studied analytically by many researchers over a century. This problem has led to many published papers and was well summarized in two famous monographs [1, 2]. Some important work on the exact formulas for the transient field radiated by a vertical electric dipole with delta-function excitation on the boundary of two dielectrics was carried out by Wu and King [20]. We are attempting to derive the analytical formulas for the transient pulses radiated by a vertical electric dipole with a delta-function excitation on the surface of a perfect conductor coated with a dielectric layer

Transient Field of Vertical Electric Dipole with Delta-Function Excitation

Computations and Discussions

Conclusions