Exact Image Theory for the Sommerfeld Half-Space Problem, Part I: Vertical Magnetic Dipole

IEEE Transactions on Antennas and Propagation

Volumn 32, Issue 2, 1984, Pages 126-133

  Lindell, Ismo V ^a   Alanen, Esko ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

ANTENNAS, DIPOLE;

EID: 0021374198     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/TAP.1984.1143278     Document Type: Article

References (28)

1. A. Sommerfeld, “Über die Ausbreitung der Wellen in der drahtlosen Telegraphie,” Ann. Phys., vol. 28, pp. 665-736, 1909.
2. Y. Rahmat-Samii, R. Mittra, and P. Parhami, “Evaluation of Sommerfeld Integrals for lossy half-space problems,” Electromagn., vol. 1, no. 1, pp. 1-28, 1981.
3. E. F. Kuester and D. C. Chang, “Evaluation of Sommerfeld integrals associated with dipole sources above the earth,” Univ. Colorado, Electromagn. Lab., Sci. Rep. 43, Jan. 1979.
4. J. R. Wait, “Image theory of a quasistatic magnetic dipole over a dissipative half-space,” Electron. Lett., vol. 5. no. 13, pp. 281-282, June 1969.
5. J. R. Wait and K. P. Spies, “On the image representation of the quasistatic fields of a line current source above the ground,” Can. J. Phys. vol. 47, no. 23, pp. 2731-2733, 1969.
6. A. Sommerfeld, Partielle Differentialgleichungen in der Physik, 6th ed. Leipzig: Geest and Portig, 1966.
7. S. F. Mahmoud, A. D. Metwally, “New image representations for dipoles near a dissipative earth. I. Discrete images.” Radio Sci., vol. 16, no. 6, pp. 1271-1275, Nov.-Dec. 1981.
8. “2. Discrete plus continuous images.” ibid. pp. 1277-1283.
9. A. Mohsen, “On the evaluation of Sommerfeld integrals,” Proc. Inst. Elec. Eng., vol. 129. pt. H, no. 4, pp. 177-182. Aug. 1982.
10. P. R. Bannister, “Summary of image theory expressions for the quasistatic fields of antennas at or above the earth's surface.” Proc. IEEE, vol. 67. no. 7, pp. 1001-1008, July 1979.
11. R. Mittra, P. Parhami, and Y. Rahmat-Samii, “Solving the current element problem over lossy half-space without Sommerfeld's integrals,” IEEE Trans. Antennas Propagat., vol. AP-27, pp. 778-782, Nov. 1979.
12. P. Parhami, Y. Rahmat-Samii, and R. Mittra, “An efficient approach for evaluating Sommerfeld integrals encountered in the problem of a current element radiating over lossy ground,” IEEE Trans. Antennas Propagai., vol. AP-28, no. 1, pp. 100-104, Jan. 1980.
13. W. C. Kuo and K. K. Mei, “Numerical approximations of the Sommerfeld integral for fast convergence.” Radio Sci., vol. 13, no. 3, pp. 407-415. May-June 1979.
14. D. M. Bubenik, “A practical method for the numerical evaluation of Sommerfeld integrals,” IEEE Trans. Antennas Propagat., vol. AP-25, no. 6, pp. 904-906. Nov. 1977.
15. D. S. Jones, The Theory of Electromagnetism. Oxford: Pergamon, 1964, pp. 367-378.
16. M. Abramowitz and I. A. Stegun. Handbook of Mathematical Functions. New York: Dover. 1965. transform 29.3.58. p. 1025.
17. E. T. Whittaker and G. N. Watson, A Course on Modern Anaysis. 4th ed., Cambridge, Univ. Press, 1969, p. 383.
18. T. K. Sarkar, “Analysis of arbitrarily oriented thin wire antennas over a plane imperfect ground,” Archiv Elektr. übertr., vol. 31 no. 11, pp. 449-457, Oct. 1977.
19. J. R. Wait, “Characteristics of antennas over lossy earth,” in Antenna Theory, Part 2. R. E. Collin and F. J. Zucker, Eds. New York: McGraw Hill, 1969, pp. 386-435.
20. A. D. M. Metwally and S. F. Mahmoud, “Input impedance of vertical dipoles near a lossy half space,” Radio Sci., vol. 16, no. 2. pp. 179-189, Mar.-Apr. 1981.
21. G. A. Deschamps, “Gaussian beam as a bundle of complex rays,” Electron. Lett., vol. 7, no. 23, pp. 684-685, Nov. 1971.
22. G. A. Deschamps, “Ray techniques in electromagnetics.” Proc. IEEE. vol. 60, no. 9. pp. 1022-1035, Sept. 1972.
23. W. D. Wang and G. A. Deschamps, “Application of complex ray tracing to scattering problems,” Proc. IEEE. vol. 62, no. 11, pp. 1541-1551, Nov. 1974.
24. L. B. Felsen, “Complex source-point solutions of the field equations and their relation to the propagation and scattering of Gaussian beams.” Symposia Mathematica, Vol. XVIII, Istituto Nazionale di Alta Mathematica, Academic Press, pp. 39-56. 1976.
25. B. van der Pol, “Theory of the reflection of the light from a point source by a finitely conducting flat mirror, with an application to radiotelegraphy,” Physica, vol. 2, pp. 843-853, 1935.
26. M. Briquet and P. J. T. Filippi, “Diffraction of a spherical wave by an absorbing plane,” J. Acoust. Soc. Am., vol. 61, pp. 640-646, 1977.
27. P. J. T. Filippi and D. Habault, “Reflection of a spherical wave by the plane interface between a perfect fluid and a porous medium,” J. Sound. Vib., vol. 56, pp. 97-103, 1978.
28. W. A. Johnson and D. G. Dudley, “Real axis integration of Sommerfeld integrals: Source and observation points in air,” Radio Sci., vol. 18, no. 2, pp. 175-186, Mar. 1983.