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Progress In Electromagnetics Research Letters
ISSN: 1937-6480
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ELECTROMAGNETIC FIELD OF A HORIZONTAL INFINITELY LONG MAGNETIC LINE SOURCE OVER THE EARTH COATED WITH A DIELECTRIC LAYER

By Y. Zhi, J. E. Ma, Y.-T. Fang, and K. Li

Full Article PDF (208 KB)

Abstract:
In this paper, the electromagnetic field of a horizontal infinitely long magnetic line source over the dielectric-coated earth is treated analytically, and the complete approximate solution for the radiated field under the far-field conditions is outlined. The total field is composed of four modes: the direct wave, the ideal reflected wave or image wave, the trapped surface wave, and the lateral wave. In particular, the complete analytical formulas are obtained for both the trapped surface wave and the lateral wave. The trapped surface wave is determined by the sum of residues of the poles. When the infinitely long magnetic line source or the observation point is away from the planar surface of the dielectric-coated earth, the trapped surface wave deceases exponentially in the z direction, and the total field is determined primarily by the lateral wave. When the conductivity of the earth is large, and both the infinitely long magnetic line source and the observation point are on or close to the air-dielectric boundary, the total field is determined primarily by the trapped surface wave.

Citation:
Y. Zhi, J. E. Ma, Y.-T. Fang, and K. Li, "Electromagnetic Field of a Horizontal Infinitely Long Magnetic Line Source Over the Earth Coated with a Dielectric Layer," Progress In Electromagnetics Research Letters, Vol. 31, 55-64, 2012.
doi:10.2528/PIERL12021314

References:
1. Carson, J. R., "Wave propagation in overhead wires with ground return," Bell Syst. Tech. J., Vol. 5, 539-554, 1926.

2. Wise, W. H., Propagation of HF currents in ground return circuits, Proc. Inst. Elect. Eng., Vol. 22, 522-527, London, UK, 1934.

3. Sunde, E. D., Earth Conduction Effects in Transmission Systems, Dover, New York, 1968.

4. Kikuchi, H., "Wave propagation along an infinite wire above ground at high frequencies," Proc. Electrotech. J., Vol. 2, 73-78, 1956.

5. Pistol'kors, A. A., On the theory of a wire near the interface between two media, Dokl. Akad., Vol. 86, 941-943, Nauk, USSR, 1952 (in Russian).

6. Pistol'kors, A. A., On the theory of a wire parallel to the plane interface between two media, Radiotek., Vol. 8, 8-18, Moscow, Russia, 1953.

7. Kuester, E. F. and D. C. Chang, Modal representation of a horizontal wire above a finitely conducting earth, Scientific Rep. 21, RADC-TR-76-287, Department of Electrical Engineering, University of Colorado, Boulder, CO, 1976.

8. Kuester, E. F., D. C. Chang, and R. G. Olsen, "Modal theory of long horizontal wire structures above the earth --- Part I: Excitation," Radio Sci., Vol. 13, No. 4, 605-613, Jul.--Aug. 1978.
doi:10.1029/RS013i004p00605

9. Wait, J. R., "Theory of wave propagation along a thin wire parallel to an interface," Radio Sci., Vol. 7, 675-679, 1972.
doi:10.1029/RS007i006p00675

10. Wait, J. R., "Excitation of an ensemble of J parallel cables by an external dipole over an M layered ground," AEÜ, Vol. 31, 489-493, 1977.

11. Olsen, R. G., J. L. Young, and D. C. Chang, "Electromagnetic wave propagation on a thin wire above earth," IEEE Antennas Propagat., Vol. 48, 1413-1419, 2000.
doi:10.1109/8.898775

12. Baños, A. J., Dipole Radiation in the Presence of a Conducting Half-space, Pergamon Press, Oxford, 1966.

13. Wait, J. R., Electromagnetic Waves in Stratified Media, 2nd Ed., Pergamon Press, New York, 1970.

14. King, R. W. P., M. Owens, and T. T. Wu, Lateral Electromagnetic Waves: Theory and Applications to Communications, Geophysical Exploration, and Remote Sensing, Springer-Verlag, New York, 1992.

15. Li, K., Electromagnetic Fields in Stratified Media, Springer-Verlag, Berlin/Heidelberg, Mar. 2009.
doi:10.1007/978-3-540-95964-9

16. Zhi, Y. J., K. Li, and Y. T. Fang, "Electromagnetic field of a horizontal infinitely long wire over the dielectric-coated earth," IEEE Trans. on Antennas and Propagat., Jun. 25, 2011.


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