Analytical solution of electromagnetic radiation by a vertical electric dipole inside the earth and the effect of atmospheric electrical conductivity inhomogeneity

2017 ◽  
Vol 60 (9) ◽  
pp. 1949-1957
Author(s):  
Taha Mosayebidorcheh ◽  
Fahimeh Hosseinibalam ◽  
Smaeyl Hassanzadeh
Keyword(s):  
Electrical Conductivity ◽  
Analytical Solution ◽  
Electromagnetic Radiation ◽  
Electric Dipole ◽  
The Earth ◽  
Vertical Electric Dipole

Radiation from a vertical electric dipole in the presence of a lossy ground

1988 ◽  
Vol 66 (5) ◽  
pp. 439-445 ◽  
Author(s):  
A. Helaly ◽  
L. Shafai
Keyword(s):  
Electric Dipole ◽  
Green's Functions ◽  
Green’S Functions ◽  
Source Location ◽  
Field Point ◽  
Radiation Fields ◽  
The Earth ◽  
Vertical Electric Dipole ◽  
Dyadic Green’S Functions ◽  
Dyadic Green's Functions

Expressions for the radiation fields of a vertical electric dipole located over a homogeneous lossy ground are derived using the dyadic Green's functions. The resulting field vectors are then split into the primary and secondary components. The primary components represent those that would exist in the absence of the ground, leaving the secondary components to represent the contribution of the Earth. For different operating frequencies and various ground conductivities, the secondary components are computed and compared with the primary ones. The results indicate that the secondary fields have the same magnitude as the primary ones in the ground and in the vicinity of the air–Earth interface. However, in the air region between the source location and the interface, their magnitude decreases progressively as the field point moves away from the interface. The case of an electric dipole located inside the ground is also considered, and a few representative results are presented.

Analysis of the Excitation of the Earth–Ionosphere Waveguide by a Satellite-Borne Antenna

1971 ◽  
Vol 49 (4) ◽  
pp. 447-457 ◽  
Author(s):  
F. Einaudi ◽  
J. R. Wait
Keyword(s):  
Electric Dipole ◽  
Dielectric Tensor ◽  
Planar Model ◽  
The Earth ◽  
Long Wave ◽  
Vertical Electric Dipole ◽  
D Region ◽  
The One ◽  
Transmitting Antenna ◽  
Explicit Derivation

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.

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