scholarly journals Series expansions for the electric and magnetic fields produced by a line current source

Radio Science ◽  
1998 ◽  
Vol 33 (1) ◽  
pp. 33-38 ◽  
Author(s):  
Risto J. Pirjola
1966 ◽  
Vol 44 (8) ◽  
pp. 1923-1931 ◽  
Author(s):  
H. W. Dosso

The electric and magnetic fields at the surface of a flat conducting earth in the near field of an oscillating line current are studied in this work. The equations for the amplitudes and phase angles developed by Law and Fannin (1961) were used for the numerical calculations. The source heights (h = 105 to 4 × 105 meters), the source frequencies (ƒ = 10−3 to 10 sec−1), and the earth conductivities (σ = 10−5 to 10 mho/m) considered are of interest in geophysics.


1968 ◽  
Vol 5 (1) ◽  
pp. 23-29 ◽  
Author(s):  
H. W. Dosso ◽  
J. A. Jacobs

An analogue model for studying electromagnetic variations for an overhead oscillating line current is described. Measurements of electric and magnetic fields for model earth–sea interfaces are discussed and compared with results reported earlier for an overhead sheet current. A truncated cone representing a circular sea, a graphite wedge representing an ocean coastline, and a graphite wedge underlain by a graphite block representing an upwelling conducting zone in the earth's mantle near a sea coast are considered. In some cases the results for the line current model differ appreciably from those for the sheet current model, indicating that the nature of the source field can be an important factor in determining the behavior of the field components. The model measurements indicate that land–sea interfaces produce no appreciable anomalous magnetic fields at frequencies below 0.01 cps and hence the presence of the sea alone cannot account for coastal magnetic field anomalies. The results obtained for the model coastline structures tend to support the idea put forth by various workers that experimentally observed coastal magnetic field anomalies can in some cases be explained by assuming an upwelling conducting zone within the earth's mantle.


2021 ◽  
Author(s):  
Fridolin Heidler

The Traveling Current Source (TCS) model describes the electrical processes during the lightning return stroke phase. The TCS model assumes that the lightning current is injected at the top of the increasing return stroke channel represented by a transmission line. The electric and magnetic field is calculated based on the spatial and temporal distribution of the lightning current along the return stroke channel. It is shown that the main characteristics of the measured electric and magnetic fields can be reproduced with the TCS model. These are the Initial Peak of the electric and magnetic fields for near intermediate and far distances, the Ramp (up to the maximum) of the near electric field, the Hump of the near magnetic field after the initial peak, and the Zero Crossing of the far distant electric and magnetic fields. The fundamentals of the model are presented, and the model is extended to consider the current reflections occurring at the ground and the upper end of the return stroke channel. To this end, the ground reflection factor ρ and the top reflection factor R are introduced. Due to the increasing return stroke channel, the top reflection factor is a function of the return stroke velocity. The total current is composed of the source current according to the TCS model and the reflected currents. It is shown that the ground reflection causes significant variation in the waveform of the channel-base current and the electric and magnetic fields.


1999 ◽  
Author(s):  
F. Rosenthal ◽  
M. Carter ◽  
S. Hampton ◽  
T. Mays

2010 ◽  
Vol 29 (Supplement 1) ◽  
pp. 69-83
Author(s):  
Anthony B. Miller ◽  
Lois M. Green

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