Vol. 92
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]
2009-05-13
Transient Analysis of Wire Structures Using Time Domain Integral Equation Method with Exact Matrix Elements
By
Progress In Electromagnetics Research, Vol. 92, 281-298, 2009
Abstract
A novel time-domain integral equation (TDIE) solver for transient analysis of conducting wires is proposed. It is formulated using the induced electric dipoles as unknown functions. The triangular and B-spline functions are employed as the spatial and temporal basis functions, respectively. By using these basis functions, the matrix elements are found obtainable via exact closed-form formulae, which furnish a robust scheme in terms of stability and accuracy. In addition, to accelerate the matrix filling, a recursive algorithm is introduced. Numerical validations are provided by a dipole antenna, a V-shape antenna and a helical antenna.
Citation
Guai-Hong Zhang, Mingyao Xia, and Xiao-Min 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.
doi:10.2528/PIER09032003
References

1. Rynne, B. P., "Time domain scattering from arbitrary surfaces using the electric field integral equation ," Journal of Electromagnetic Waves and Applications, Vol. 5, 93-112, 1991.

2. Rao, S. M., Time Domain Electromagnetics, Academic Press, 1999.

3. Sachdeva, N., S. M. Rao, and N. Balakrishnan, "A comparison of FDTD-PML with TDIE," IEEE T. Antenn. Propag., Vol. 50, 1609-1614, 2002.
doi:10.1109/TAP.2002.804024

4. Zhang, G. H., M. Y. Xia, and C. H. Chan, "Time domain integral equation approach for analysis of transient responses by metallicdielectric composite bodies," Progress In Electromagnetics Research, PIER 87, 1-14, 2008.

5. Ergin, A. A., B. Shanker, and E. Michielssen, "The plane wave time-domain algorithm for the fast analysis of transient wave phenomena," IEEE T. Antenn. Propag., Vol. 41, 39-52, 1999.
doi:10.1109/74.789736

6. Zhou, Z. X. and J. S. Tyo, "An adaptive time-domain integral equation method for transient analysis of wire scatterer," IEEE T. Antenn. Propag., Vol. 4, 147-150, 2005.

7. Courant, R., K. Friedrichs, and H. Lewy, "On the partial difference equations of mathematical physics," IBM J., Vol. 11, 215-234, 1967.

8. Sadigh, A. and E. Arvas, "Treating the instabilities in marchingon-in-time method from a different perspective," IEEE T. Antenn. Propag., Vol. 41, 1695-1702, 1993.
doi:10.1109/8.273314

9. Davies, P. J. and D. B. Duncan, "Averaging techniques for timemarching schemes for retarded potential integral equations," App. Numer. Math., Vol. 23, 291-310, 1997.
doi:10.1016/S0168-9274(96)00069-4

10. Rynne, B. P. and P. D. Smith, "Stability of time-marching algorithms for electric field integral equation," Journal of Electromagnetic Waves and Applications, Vol. 4, 1181-1205, 1990.
doi:10.1163/156939390X00762

11. Rao, S. M. and T. K. Sarkar, "Transient analysis of electromagnetic scattering from wire structures utilizing an implicit time-domain integral equation technique," Microw. Opt. Technol. Lett., Vol. 17, 66-69, 1998.
doi:10.1002/(SICI)1098-2760(199801)17:1<66::AID-MOP18>3.0.CO;2-9

12. Shifman, Y. and Y. Leviatan, "On the use of spatiotemporal multiresolution analysis in method of moments solutions for the time-domain integral equation," IEEE T. Antenn. Propag., Vol. 49, 1123-1129, 2001.
doi:10.1109/8.943306

13. Jung, B. H., J. Zhong, T. K. Sarkar, and M. Salazar-Palma, "A comparison of marching-on in time method with marching-on in degree method for the TDIE solver," Progress In Electromagnetics Research, PIER 70, 281-296, 2007.

14. Jung, B. H., Y. S. Chung, and T. K. Sarkar, "Time-domain EFIE, MFIE, and CFIE formulations using Laguerre polynomials as temporal basis functions for the analysis of transient scattering from arbitrary shaped conducting structures," Progress In Electromagnetics Research, PIER 39, 1-45, 2003.

15. Andriulli, F. P. and E. Michielssen, "A regularized combined field integral equation for scattering from 2-D perfect electrically conducting objects," IEEE T. Antenn. Propag., Vol. 55, 2522-2529, 2007.
doi:10.1109/TAP.2007.904083

16. Manara, G., A. Monorchio, and R. Reggiannini, "A space-time discretization criterion for a stable time-marching solution of the electric field integral equation," IEEE T. Antenn. Propag., Vol. 45, 527-532, 1997.
doi:10.1109/8.558668

17. Hu, J. L., C. H. Chan, and Y. Xu, "A new temporal basis function for the time domain integral equation method," IEEE Microw. Wireless Comp. Lett., Vol. 11, 465-466, 2001.
doi:10.1109/7260.966043

18. Xia, M. Y., G. H. Zhang, G. L. Dai, et al. "Stable solution of time domain integral equation methods using quadratic B-spline temporal basis functions," J. Comput. Math., Vol. 25, 374-384, 2007.

19. Bagci, H., A. E. Yilmaz, V. Lomakin, and E. Michielssen, "Fast solution of mixed-potential time-domain integral equations for half-space environments," IEEE T. Geosci. Remote Sensing, Vol. 43, 269-279, 2005.
doi:10.1109/TGRS.2004.841489

20. Lu, M. and E. Michielssen, "Closed form evaluation of time domain fields due to Rao-Wilton-Glisson sources for use in marching-on-in-time based EFIE solvers," IEEE APS. Int. Symp. Dig., 74-77, 2002.

21. Pingenot, J., S. Chakraborty, and V. Jandhyala, "Polar integration for exact space-time quadrature in time-domain integral equations," IEEE Trans. Antenn. Propag., Vol. 54, 3037-3042, 2006.
doi:10.1109/TAP.2006.882195

22. Zubik-Kowal, B. and P. J. Davies, "Numerical approximation of time domain electromagnetic scattering from a thin wire," Numerical Algorithms, Vol. 30, 25-35, 2002.
doi:10.1023/A:1015689722761

23. Bayer, S. E. and A. A.Ergin, "A stable marching-on-in-time scheme for wire scatterers using a newmark-beta formulation," Progress In Electromagnetics Research B, Vol. 6, 337-360, 2008.
doi:10.2528/PIERB08031215

24. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE T. Antenn. Propag., Vol. 30, 409-418, 1982.
doi:10.1109/TAP.1982.1142818

25. Zhong, J., T. K. Sarkar, B. H. Jung, Y. S. Chung, et al. "A stable solution of time domain electric field integral equation for thinwire antennas using the Laguerre polynomials," IEEE T. Antenn. Propag., Vol. 52, 2641-2649, 2004.
doi:10.1109/TAP.2003.820953