Influence of Earth curvature on the subsurface electromagnetic fields of a line source

1971 ◽  
Vol 7 (23) ◽  
pp. 697 ◽  
Author(s):  
James.R. Wait
Keyword(s):  
Electromagnetic Fields ◽  
Line Source

Electromagnetic fields in the presence of an infinite dielectric wedge

2006 ◽  
Vol 462 (2072) ◽  
pp. 2503-2522 ◽  
Author(s):  
Mohamed A Salem ◽  
Aladin H Kamel ◽  
Andrey V Osipov
Keyword(s):  
Electromagnetic Fields ◽  
Line Source ◽  
Numerical Scheme ◽  
Singular Integral Equations ◽  
Neumann Series ◽  
Asymptotic Approximations ◽  
Spectral Functions ◽  
Dielectric Wedge ◽  
Higher Order Terms ◽  
Neumann Type

Electromagnetic fields excited by a line source in the presence of an infinite dielectric wedge with refractive index N are determined by application of the Kontorovich–Lebedev transform. Singular integral equations for spectral functions are solved by perturbation procedure, and the solution is obtained in the form of a Neumann series in powers of . The devised numerical scheme permits evaluation of the higher-order terms and, thus, extends the perturbation solution to values of N not necessarily close to unity. Asymptotic approximations for the near and far fields inside and outside the dielectric wedge are derived. The combination of the Neumann-type expansion of the transform functions with the representation of the field as a Bessel function series extends solutions derived with the Kontorovich–Lebedev method to the case of real-valued wavenumbers and arbitrarily positioned source and observer. Numerical results showing the influence of wedges with various values of dielectric and magnetic constants on the directivity of a line source are presented and verified through finite-difference frequency-domain simulations.

Electromagnetic fields in the presence of an infinite metamaterial wedge

2008 ◽  
Vol 464 (2096) ◽  
pp. 2077-2089 ◽  
Author(s):  
Mohamed A Salem ◽  
Aladin H Kamel
Keyword(s):  
Finite Difference ◽  
Frequency Domain ◽  
Integral Equations ◽  
Electromagnetic Fields ◽  
Singular Integral ◽  
Line Source ◽  
Numerical Scheme ◽  
Singular Integral Equations ◽  
Spectral Functions ◽  
Electric Line

Electromagnetic fields, excited by an electric line source in the presence of an infinite metamaterial wedge, are determined by application of the Kontorovich–Lebedev transform. Uncoupled singular integral equations for the spectral functions are derived and a numerical scheme is devised and implemented to solve them. Numerical results showing the influence of a metamaterial wedge presence on the directivity of a line source are presented and verified through finite-difference frequency-domain simulations.

Subsurface Electromagnetic Fields of a Grounded Cable of Finite Length

1973 ◽  
Vol 51 (14) ◽  
pp. 1534-1540 ◽  
Author(s):  
David A. Hill ◽  
James R. Wait
Keyword(s):  
Electromagnetic Fields ◽  
Finite Length ◽  
Line Source ◽  
Low Frequency ◽  
Frequency Limit ◽  
Special Cases ◽  
General Field ◽  
Finite Line ◽  
Radio Location ◽  
Finite Line Source

The subsurface fields of a finite line source or current-carrying cable are examined. Some special cases, such as the low-frequency limit, are treated analytically, and some simple working formulas are obtained. The general field expressions are reduced to single integrals with finite limits that are evaluated numerically. It is shown that if the source cable is sufficiently long, the fields are approximated by those for an infinite cable. The results have possible application to downlink communication and radio location of trapped miners.

Subsurface electromagnetic fields of a line source on a two-layer earth

Radio Science ◽  
1973 ◽  
Vol 8 (8-9) ◽  
pp. 805-810 ◽  
Author(s):  
James R. Wait ◽  
Kenneth P. Spies
Keyword(s):  
Electromagnetic Fields ◽  
Line Source

Subsurface Electromagnetic Fields of a Line Source on a Conducting Half-Space

Radio Science ◽  
1971 ◽  
Vol 6 (8-9) ◽  
pp. 781-786 ◽  
Author(s):  
James R. Wait ◽  
Kenneth P. Spies
Keyword(s):  
Half Space ◽  
Electromagnetic Fields ◽  
Line Source
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