PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 55 > pp. 285-306

INPUT ADMITTANCES ARISING FROM EXPLICIT SOLUTIONS TO INTEGRAL EQUATIONS FOR INFINITE-LENGTH DIPOLE ANTENNAS

By G. Fikioris and C. A. Valagiannopoulos

Full Article PDF (220 KB)

Abstract:
When one uses integral equations to determine the input admittance of dipole antennas, one must choose between two kernels, the exact and the approximate kernel, and also between (at least) two types of feed, the delta-function generator and the frill generator. For dipole antennas of infinite length, we investigate—analytically and numerically—the similarities and differences between the various admittance values. Particular emphasis is placed on the fact, discussed in detail in recent publications, that certain combinations lead to non- solvable integral equations.

Citation: (See works that cites this article)
G. Fikioris and C. A. Valagiannopoulos, "Input Admittances Arising from Explicit Solutions to Integral Equations for Infinite-Length Dipole Antennas," Progress In Electromagnetics Research, Vol. 55, 285-306, 2005.
doi:10.2528/PIER05031701
http://www.jpier.org/PIER/pier.php?paper=0503171

References:
1. Fikioris, G. and T. T. Wu, "On the application of numerical methods to Hallén's equation," IEEE Trans. Antennas Propagat., Vol. 49, No. 3, 383-392, 2001.
doi:10.1109/8.918612

2. Fikioris, G., J. Lionas, and C. G. Lioutas, "The use of the frill generator in thin-wire integral equations," IEEE Trans. Antennas Propagat., Vol. 51, No. 8, 1847-1854, 2003.
doi:10.1109/TAP.2003.815412

3. Balanis, C. A., Antenna Theory: Analysis and Design, 2nd ed., John Wiley & Sons, New York, 1997.

4. Stutzman, W. L. and G. A. Thiele, Antenna Theory and Design, 2nd ed., John Wiley & Sons, New York, 1998.

5. Wu, T. T., "Introduction to linear antennas," Antenna Theory, 1969.

6. Fikioris, G., "The approximate integral equation for a cylindrical scatterer has no solution," J. of Electromagn. Waves and Appl., Vol. 15, No. 9, 1153-1159, 2001.

7. Schelkunoff, S. A., Advanced Antenna Theory, Section 5.5, John Wiley & Sons, New York, 1952.

8. Fikioris, G., "An application of convergence acceleration methods," IEEE Trans. Antennas Propagat., Vol. 47, No. 12, 1758-1760, 1999.
doi:10.1109/8.817649

9. Stratton, J. A. and L. J. Chu, "Steady state solutions of electromagnetic field problems, I, Forced oscillations of a cylindrical conductor," J. Appl. Phys., Vol. 12, 230-235, 1941.
doi:10.1063/1.1712899

10. Chen, Y. M. and J. B. Keller, "Current on and input impedance of a cylindrical antenna," Journal of Research of the National Bureau of Standards—D. Radio Propagation, Vol. 66D, No. 1, 15-21, 1962.

11. Wu, T. T., "Input admittance of infinitely long dipole antennas driven from coaxial lines," J. Mathematical Phys., Vol. 3, No. 6, 1298-1301, 1962.
doi:10.1063/1.1703874

12. Fante, R. L., "On the admittance of the infinite cylindrical antenna," Radio Sci., Vol. 1 (new series), No. 10, 1041-1044, 1966.

13. Otto, D. V., "The admittance of cylindrical antennas driven from a coaxial line," Radio Sci., Vol. 2 (new series), No. 9, 1031-1042, 1967.

14. Miller, E. K., "Admittance dependence of the infinite cylindrical antenna upon exciting gap thickness," Radio Sci., Vol. 2 (new series), No. 12, 1431-1435, 1967.

15. Andersen, J. B., "Admittance of infinite and finite cylindrical metallic antenna," Radio Sci., Vol. 3 (new series), No. 6, 607-621, 1968.

16. Otto, D. V., "The admittance of infinite cylindrical antennas," IEEE Trans. Antennas Propagat., Vol. 17, No. 3, 234-235, 1969.
doi:10.1109/TAP.1969.1139384

17. Richmond, J. H., "Admittance of infinitely long cylindrical wire with finite conductivity and magnetic-frill excitation," IEEE Trans. Antennas Propagat., Vol. 27, No. 3, 264-266, 1979.
doi:10.1109/TAP.1979.1142075

18. King, R. W. P. and G. S. Smith, Antennas in Matter, Section 8.5, MIT Press, Cambridge, MA, 1986.

19. Do-Nhat, T. and R. H. MacPhie, "Effect of gap length on the input admittance of center fed coaxial waveguides and infinite dipoles," IEEE Trans. Antennas Propagat., Vol. 35, No. 11, 1293-1299, 1987.
doi:10.1109/TAP.1987.1144017

20. Chen, K. C. and L. K. Warne, "Uniform formulas for infinite antenna current," Radio Sci., Vol. 28, No. 5, 649-661, 1993.

21. Morris, M. E. and T. T. Wu, "Admittance of thin, coaxially-friven, infinite monopole antennas," J. of Electromagn. Waves and Appl., Vol. 10, No. 5, 643-692, 1996.

22. Williamson, A. G., "Admittance correction factor for coaxially excited cylindrical antennas," IEEE Trans. Antennas Propagat., Vol. 49, No. 4, 640-644, 2001.
doi:10.1109/8.923326

23. Abramowitz, I. and I. A. Stegun (Eds.), Handbook of Mathematical Functions with Formulas, Vol. 55, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series, Vol. 55, U.S. Government Printing Office, Washington, D.C., 1972.

24. King, R. W. P., G. Fikioris, and R. B. Mack, Cylindrical Antennas and Arrays, Section 13.6, Cambridge University Press, Cambridge, UK, 2002.

25. Werner, D. H., "A method of moments approach for the efficient and accurate modeling of moderately thick cylindrical wire antennas," IEEE Trans. Antennas Propagat., Vol. 46, No. 3, 373-382, 1998.
doi:10.1109/8.662656

26. Ablowitz, M. J., A. S. FokasComplex Variables. Introduction and Applications, 2nd Ed., Section 4.3, Cambridge University Press, Cambridge, UK, 2003.

27. Gakhov, F. D., Boundary Value Problems, Chapt. I, Dover Publications, New York, 1990.

28. Mosig, J. R. and A. A. Melcén, "Green's functions in lossy layered media: Integration along the imaginary axis and asymptotic behavior," IEEE Trans. Antennas Propagat., Vol. 51, No. 12, 3200-3208, 2003.
doi:10.1109/TAP.2003.820946


© Copyright 2014 EMW Publishing. All Rights Reserved