Transient fields of a vertical electric dipole on an M-layered dielectric medium

2003 ◽  
Vol 81 (6) ◽  
pp. 869-875 ◽  
Author(s):  
O M Abo-Seida ◽  
G M Sami

A simple and explicit derivation for the vertical electric dipole excited by a short-pulse current and located above a layered dielectric medium is derived in an analytical form using the Cagniard–de Hoop method. The fields are expressed as the convolution of the exciting current with the layered medium response. This response is obtained directly from the integral representation for the magnetic fields in the frequency domain and is expressed as a finite integral. A modified Cagniard method is then used to derive closed-form expressions for the vertical dipole anywhere above a multilayered medium. The method is used to perform numerical calculations of the magnetic fields for applications to geo-radar operating on layered media. PACS Nos.: 41.20.Jb, 42.25.Bs, 42.25.Gy

1975 ◽  
Vol 53 (6) ◽  
pp. 598-609 ◽  
Author(s):  
V. Ramaswamy ◽  
H. W. Dosso

Analytical solutions for the low frequency electromagnetic fields of a dipole source situated in the lower layer of a two layer conductor are derived. The sources considered are a vertical electric dipole, a horizontal electric dipole, and a horizontal magnetic dipole. The numerical results discussed in this paper describe the general behavior of the electric and magnetic fields for various upper layer conductivities, upper layer thickness, and source depths. The results are of interest in the application of electromagnetic techniques to locate miners trapped underground following a mine disaster.


1971 ◽  
Vol 49 (4) ◽  
pp. 447-457 ◽  
Author(s):  
F. Einaudi ◽  
J. R. Wait

An analytical approach is outlined to obtain the fields near the earth's surface for a long wave transmitting antenna on a satellite. The medium is divided into slabs, each of which is characterized by a dielectric tensor. To simplify the calculations, a planar model is considered in which the d.c. magnetic field is vertical. An explicit derivation is given for a three-layer planar model: the lowest layer, up to ca. 70 km, represents the earth–ionosphere waveguide, the second layer may represent the D region; and the third layer is the one containing the satellite, which is idealized by a vertical electric dipole. Emphasis is placed on the relative launching efficiency of a satellite-borne antenna as compared with a ground-based antenna of the same strength. For sake of simplicity the antenna is idealized as an electric dipole and all sheath effects are neglected.


2016 ◽  
Vol 63 ◽  
pp. 23-28
Author(s):  
Changqing Wang ◽  
Zhaoxian Zeng ◽  
Jianxing Li ◽  
Hongyu Shi ◽  
Anxue Zhang

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