Vol. 159
Latest Volume
All Volumes
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]
2017-06-30
On the Radiation from a Short Current-Carrying Straight Wire Oriented Perpendicular to a Stratified Medium
By
Progress In Electromagnetics Research, Vol. 159, 49-57, 2017
Abstract
In a previous work, improved full-wave analytical expressions have been derived for the Sommerfeld Integrals (SIs) describing electromagnetic radiation from a short vertical straight wire located in close proximity to a conductive soil. Such formulas ensure high accuracy of the result of the computation, as well as time savings with respect to conventional techniques used to evaluate the SIs, but unfortunately may be used only when both source and field points are located at the air-medium interface. The scope of this paper is to overcome the limitations implied by the previous approach, and provide series-form expressions for the generated field components that are valid for an arbitrarily stratified medium and for any position of the vertical wire antenna and observation point in the air space above it. The expressions follow from the analytical evaluation of the integral representation for the magnetic vector potential, performed through contour integration after substituting an equivalent pole set for each branch cut of the integrand. Validity, efficiency and accuracy of the developed formulas are illustrated through numerical examples.
Citation
Mauro Parise, and Giulio Antonini, "On the Radiation from a Short Current-Carrying Straight Wire Oriented Perpendicular to a Stratified Medium," Progress In Electromagnetics Research, Vol. 159, 49-57, 2017.
doi:10.2528/PIER17040904
References

1. Sommerfeld, A., "On the propagation of waves in wireless telegraphy," Annals of Physics, Vol. 81, 1135-1153, 1926.
doi:10.1002/andp.19263862516

2. Banos, A., Dipole Radiation in the Presence of a Conducting Half-space, Pergamon Press, Oxford, NY, 1966.

3. Durrani, S. H., "Air to undersea communication with electric dipoles," IRE Transactions on Antennas and Propagation, Vol. 10, 524-528, 1962.
doi:10.1109/TAP.1962.1137912

4. Moore, R. K. and W. E. Blair, "Dipole radiation in a conducting half space," Journal of Research of the National Bureau of Standards-D Radio Propagation, Vol. 65D, No. 6, 547-563, 1961.
doi:10.6028/jres.065D.065

5. Wait, J. R., "The electromagnetic fields of a horizontal dipole in the presence of a conducting half-space," Canadian Journal of Physics, Vol. 39, 1017-1028, 1961.
doi:10.1139/p61-111

6. Bannister, P. R., "Quasi-static fields of dipole antennas at the earth’s surface," Radio Science, Vol. 1, 1321-1330, 1966.
doi:10.1002/rds19661111321

7. 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.

8. King, R. W. P., S. S. Sandler, and L. C. Shen, "The electromagnetic field of a vertical electric dipole over the earth or sea," IEEE Transactions on Antennas and Propagation, Vol. 42, 382-389, 1994.
doi:10.1109/8.280725

9. King, R. W. P., "Electromagnetic field of a vertical dipole over an imperfectly conducting halfspace," Radio Science, Vol. 25, 149-160, 1990.
doi:10.1029/RS025i002p00149

10. Parise, M., "An exact series representation for the EM field from a vertical electric dipole on an imperfectly conducting half-space," Journal of Electromagnetic Waves and Applications, Vol. 28, No. 8, 932-942, 2014.
doi:10.1080/09205071.2014.897653

11. Wait, J. R., Electromagnetic Waves in Stratified Media, Pergamon Press, New York, 1970.

12. Parise, M., "Second-order formulation for the quasi-static field from a vertical electric dipole on a lossy half-space," Progress In Electromagnetics Research, Vol. 136, 509-521, 2013.
doi:10.2528/PIER12112508

13. Kong, J. A., Electromagnetic Wave Theory, John Wiley & Sons, New York, 1986.

14. Ward, S. H. and G. W. Hohmann, "Electromagnetic theory for geophysical applications," Electromagnetic Methods in Applied Geophysics, Vol. 1, 130-311, Society of Exploration Geophysicists, Tulsa, OK, 1988.

15. Balanis, C. A., "Antenna Theory: Analysis and Design," John Wiley & Sons, 1997.

16. Wait, J. R., "Radiation from a vertical electric dipole over a stratified ground," Transactions of the IRE — Antennas and Propagation, Vol. 1, No. 1, 9-11, 1953.
doi:10.1109/T-AP.1953.27320

17. Wait, J. R., "Influence of a sub-surface insulating layer on electromagnetic ground wave propagation," IEEE Transactions on Antennas and Propagation, Vol. 14, No. 6, 755-767, 1966.
doi:10.1109/TAP.1966.1138776

18. Wait, J. R., "Asymptotic theory for dipole radiation in the presence of a lossy slab lying on a conducting half-space," IEEE Transactions on Antennas and Propagation, Vol. 15, No. 5, 645-648, 1967.
doi:10.1109/TAP.1967.1138993

19. Kong, J. A., L. C. Shen, and L. Tsang, "Field of an antenna submerged in a dissipative dielectric medium," IEEE Transactions on Antennas and Propagation, Vol. 25, No. 6, 887-889, 1977.
doi:10.1109/TAP.1977.1141703

20. Fuller, J. A. and J. R. Wait, "A pulsed dipole in the earth," Transient Electromagnetic Fields, 237-269, Springer, New York, 1976.

21. Parise, M., "An exact series representation for the EM field from a circular loop antenna on a lossy half-space," IEEE Antennas and Wireless Prop. Letters, Vol. 13, 23-26, 2014.
doi:10.1109/LAWP.2013.2296149

22. Parise, M., "Exact EM field excited by a short horizontal wire antenna lying on a conducting soil," AEU-International Journal of Electronics and Communications, Vol. 70, 676-680, 2016.
doi:10.1016/j.aeue.2016.02.004

23. Parise, M., "Improved Babylonian square root algorithm-based analytical expressions for the surface-to-surface solution to the Sommerfeld half-space problem," IEEE Transactions on Antennas and Propagation, Vol. 63, No. 12, 5832-5837, 2015.
doi:10.1109/TAP.2015.2478958

24. Parise, M., "On the surface fields of a small circular loop antenna placed on plane stratified earth," International Journal of Antennas and Propagation, Vol. 2015, 1-8, 2015.
doi:10.1155/2015/187806

25. Patterson, T. N. L., "The optimum addition of points to quadrature formulae," Mathematics of Computation, Vol. 22, 847-856, 1968.
doi:10.1090/S0025-5718-68-99866-9