Vol. 121
Latest Volume
All Volumes
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]
2011-11-04
Time Domain Analytical Modeling of a Straight Thin Wire Buried in a Lossy Medium
By
Progress In Electromagnetics Research, Vol. 121, 485-504, 2011
Abstract
This paper deals with an analytical solution of the time domain Pocklington equation for a straight thin wire of finite length, buried in a lossy half-space and excited via the electromagnetic pulse (EMP) excitation. Presence of the earth-air interface is taken into account via the simplified reflection coefficient arising from the Modified Image Theory (MIT). The analytical solution is carried out using the Laplace transform and the Cauchy residue theorem. The EMP excitation is treated via numerical convolution. The obtained analytical results are compared to those calculated using the numerical solution of the frequency domain Pocklington equation combined with the Inverse Fast Fourier Transform (IFFT).
Citation
Silvestar Sesnic, Dragan Poljak, and Sergey V. Tkachenko, "Time Domain Analytical Modeling of a Straight Thin Wire Buried in a Lossy Medium," Progress In Electromagnetics Research, Vol. 121, 485-504, 2011.
doi:10.2528/PIER11072109
References

1. Rao, S. M., "Time Domain Electromagnetics," S. M. Rao (ed.), Academic Press, San Diego, USA,, 1999.

2. Poljak, D., "Advanced Modeling in Computational Electromagnetic Compatibility ," Wiley-Interscience, New Jersey, USA, 2007.

3. Miller, E. K., A. J. Poggio, and G. J. Burke, "An integro-diĀ®erential equation technique for the time-domain analysis of thin wire structures. I. The numerical method," Journal of Computational Physics, Vol. 12, No. 1, 24-48, May 1973.

4. Bridges, G. E., "Transient plane wave coupling to bare and insulated cables buried in a lossy half-space," IEEE Transactions on Electromagnetic Compatibility, Vol. 37, No. 1, 62-70, Feb. 1995.

5. Lorentzou, M. I., N. D. Hatziargyriou, and B. C. Papadias, "Time domain analysis of grounding electrodes impulse response," IEEE Transactions on Power Delivery, Vol. 18, No. 2, 517-524, Apr. 2003.

6. Poljak, D. and V. Doric, "Wire antenna model for transient analysis of simple grounding systems, part II: The horizontal grounding electrode ," Progress In Electromagnetics Research, Vol. 64, 167-189, 2006.

7. Chen, H. T., J.-X. Luo, and D.-K. Zhang, "An analytic formula of the current distribution for the VLF horizontal wire antenna above lossy half-space," Progress In Electromagnetics Research Letters, Vol. 1, 149-158, 2008.

8. Zhang, G.-H., M. Xia, and X.-M. Jiang, "Transient analysis of wire structures using time domain integral equation method with exact matrix elements," Progress In Electromagnetics Research, Vol. 92, 281-298, 2009.

9. Jin, X. and M. Ali, "Embedded antennas in dry and saturated concrete for application in wireless sensors," Progress In Electromagnetics Research, Vol. 102, 197-211, 2010.

10. Seo, D.-W., J.-H. Yoo, K. Kwon, and N.-H. Myung, "A hybrid method for computing the RCS of wire scatterers with an arbitrary orientation," Progress In Electromagnetics Research B, Vol. 23, 55-68, 2010.

11. Poljak, D. and N. Kovac, "Time domain modeling of a thin wire in a two-media configuration featuring a simplified reflection/transmission coefficient approach," Engineering Analysis with Boundary Elements, Vol. 33, 283-293, 2009.

12. King, R. W. P., G. J. Fikioris, and R. B. Mack, "Cylindrical Antennas and Arrays," Cambridge University Press, Cambridge, UK, 2002.

13. King, R. W. P., "Embedded bare and insulated antennas," IEEE Transactions on Biomedical Engineering, Vol. 24, No. 3, 253-260, May 1977.

14. Tkatchenko, S., F. Rachidi, and M. Ianoz, "Electromagnetic field coupling to a line of finite length: Theory and fast iterative solutions in frequency and time domains," IEEE Transactions on Electromagnetic Compatibility, Vol. 37, No. 4, 509-517, Nov. 1995.

15. Tkatchenko, S., F. Rachidi, and M. Ianoz, "High-frequency electromagnetic field coupling to long terminated lines," IEEE Transactions on Electromagnetic Compatibility, Vol. 43, No. 2, 117-129, May 2001.

16. Hoorfar, A. and D. C. Chang, "Analytic determination of the transient response of a thin-wire antenna based upon an SEM representation," IEEE Transactions on Antennas and Propagation, Vol. 30, No. 6, 1145-1152, Nov. 1982.

17. Velazquez, R. and D. Mukhedkar, "Analytical modelling of grounding electrodes transient behavior," IEEE Transactions on Power Apparatus and Systems, Vol. 103, No. 6, 1314-1322, Jun. 1984.

18. Chen, K. C., "Transient response of an infinite cylindrical antenna in a dissipative medium," IEEE Transactions on Antennas and Propagation, Vol. 35, No. 5, 562-573, May 1987.

19. Tijhuis, A. G., Z. Peng, and A. Rubio Bretones, "Transient excitation of a straight thin-wire segment: A new look at an old problem," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 10, 1132-1146, Oct. 1992.

20. Sesnic, S. and D. Poljak, "Time domain analytical modeling of finite length thin wire embedded in homogeneous lossy medium," SoftCOM 2010 18th International Conference on Software, Telecomumnications & Computer Networks, Split-Bol, 2010.

21. Stratton, J. A., Electromagnetic Theory, Wiley-Interscience, New Jersey, USA, 2007.

22. Rothwell, E. J. and M. J. Cloud, "Electromagnetics," CRC Press, Boca Raton, London, New York, Washington, D.C., 2001.

23. Takashima, T., T. Nakae, and R. Ishibashi, "Calculation of complex fields in conducting media," IEEE Transactions on Electrical Insulation, Vol. 15, No. 1, 1-7, Feb. 1980.

24. Polyanin, A. D. and A. V. Manzhirov, Handbook of Integral Equations, CRC Press, Boca Raton, London, New York, Washington, D.C., 1998.

25. Dyakin, V. V. and S. V. Marvin, "Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body," Computational Mathematics and Mathematical Physics, Vol. 48, No. 2, 275-283, 2008.

26. Bost, F., L. Nicolas, and G. Rojat, "A time-domain integral formulation for the scattering by thin wires," IEEE Transaction on Magnetics, Vol. 36, No. 4, 868-871, Jul. 2000.

27. Hallen, E., "Theoretical investigations into the transmitting and receiving qualities of antenn," Nova Acta Regiae Societatis Scientiarum Upsaliensis, Vol. 11, No. 4, 3-4, Nov. 1938.

28. Bogerd, J. C., A. G. Tijhuis, and J. J. A. Klaasen, "Electromagnetic excitation of a thin wire: A traveling-wave approach," IEEE Transactions on Antennas and Propagation, Vol. 48, No. 8, 1202-1211, Aug. 1998.

29. Schiff, J. L., The Laplace Transform --- Theory and Applications, Springer-Verlag, New York, USA, 1999.

30. Tesche, F. M., M. Ianoz, and T. Karlsson, EMC Analysis Methods and Computational Models, John Wiley & Sons, Inc., New York, USA, 1997.