Vol. 55
Latest Volume
All Volumes
PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2005-06-25
Input Admittances Arising from Explicit Solutions to Integral Equations for Infinite-Length Dipole Antennas
By
Progress In Electromagnetics Research, Vol. 55, 285-306, 2005
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
George Fikioris, and Constantinos 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
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., 1997.

4. Stutzman, W. L. and G. A. Thiele, Antenna Theory and Design, 2nd ed., 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, 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, 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, 1972.

24. King, R. W. P., G. Fikioris, and R. B. Mack, Cylindrical Antennas and Arrays, Section 13.6, 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, 2003.

27. Gakhov, F. D., Boundary Value Problems, Chapt. I, 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