Exact Image Theory for the Sommerfeld Half-Space Problem, Part III: General Formulation

IEEE Transactions on Antennas and Propagation

Volumn 32, Issue 10, 1984, Pages 1027-1032

  Lindell, Ismo V ^a   Alanen, Esko ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

SOMMERFELD HALF-SPACE;

ANTENNAS, DIPOLE;

EID: 0021510456     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/TAP.1984.1143204     Document Type: Article

References (14)

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2. A. Sommerfeld, Partielle Defferentialgleichungen in der Physik, 6th ed. Leipzig: Geest und Portig, 1966.
3. J. R. Wait, “Image theory of quasistatic magnetic dipole over a dissipative half-space,” Electron. Lett., vol. 5, no. 13, pp. 281-282, June 1969.
4. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves. Englewood Cliffs, NJ: Prentice-Hall, 1973.
5. 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.
6. S. F. Mahmoud and A. D. Metwally, “New image representations for dipoles near a dissipative earth. 1. Discrete images,” Radio Sci., vol. 16, no. 6, pp. 1271-1275, Nov. - Dec. 1981, (Part 2. Discrete plus continuous images, Radio Sci., vol. 16, no. 6, pp. 1277-1283, Nov. - Dec. 1981.)
7. 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.
8. 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.
9. I. V. Lindell and E. Alanen, “Exact image theory for the Sommerfeld half-space problem, Part I: Vertical magnetic dipole,” IEEE Trans. Antennas Propagat., vol. AP-32, no. 2, pp. 126-133, Feb. 1984.
10. I. V. Lindell and E. Alanen, “Exact image theory for the Sommerfeld half-space problem, Part II: Vertical electric dipole,” IEEE Trans. Antennas Propagat., vol. AP-32, no. 8, pp. 841-847, Aug. 1984.
11. I. V. Lindell, “Elements of dyadic algebra and its application in electromagnetics,” Helsinki Univ. Technology, Radio Lab. Rep. S126, 1981, available from author.
12. J. W. Gibbs and E. B. Wilson, Vector Analysis, 2nd ed. New York: Scribners, 1909, reprinted by Dover Inc., 1960.
13. T. K. Sarkar, “Analysis of arbitrarily oriented thin wire antennas over a plane imperfect ground,” Arch. Elektr. Ubertr., vol. 31, no. 11, pp. 449-457, Oct. 1977.
14. H. G. Booker and P. C. Clemmow, “A relation between the Sommerfeld theory of radio propagation over a flat earth and the theory of diffraction at a straight edge,” Proc. Inst. Elec. Eng., vol. 97, Pt. III, pp. 18-27, Jan. 1950.