Vol. 140
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]
2013-06-10
Analysis of Transient Electromagnetic Scattering Using the Multilevel Time Domain Fast Dipole Method
By
Progress In Electromagnetics Research, Vol. 140, 401-413, 2013
Abstract
In this paper, a multilevel time domain fast dipole method (TD-FDM) is proposed for solving time-domain magnetic field integral equations. It is the extension of TD-FDM to the multilevel. This proposed scheme starts by multilevel grouping. At each level, the far-field interaction can be expanded through the Taylor series and reconstructed via aggregation-translation-disaggregation procedure, which reduces the memory requirement and the computational cost of the marching-on in-time (MOT) method. Numerical results about the electromagnetic scattering from perfect electric conductor (PEC) objects are given to demonstrate the validity and efficiency of the proposed scheme.
Citation
Ji Ding, Lianghui Yu, Wei Xu, Chang Qing Gu, and Zhuo Li, "Analysis of Transient Electromagnetic Scattering Using the Multilevel Time Domain Fast Dipole Method," Progress In Electromagnetics Research, Vol. 140, 401-413, 2013.
doi:10.2528/PIER13041003
References

1. Rao, S. M. and D. R. Wilton, "Transient scattering by conducting surfaces of arbitrary shape," IEEE Trans. on Antennas and Propagat., Vol. 39, No. 1, 56-61, Jan. 1991.
doi:10.1109/8.64435

2. Shanker, B., A. A. Ergin, K. Aygun, and E. Michielssen, "Analysis of transient electromagnetic scattering from closed surfaces using a combined FIeld integral equation," IEEE Trans. on Antennas and Propagat., Vol. 48, No. 7, 1064-1074, Jul. 2000.
doi:10.1109/8.876325

3. Jung, B. H., Z. Mei, and T. K. Sarkar, "Transient wave propagation in a general dispersive media using the laguerre function in a marching-on-in-degree (MOD) methodology ," Progress In Electromagnetics Research, Vol. 118, 135-149, 2011.
doi:10.2528/PIER11052408

4. Luo, W., W. Y. Yin, M. D. Zhu, and J. Y. Zhao, "Hybrid TDIE-TDPO method for studying on transient responses of some wire and surface structures illuminated by an electromagnetic pulse," Progress In Electromagnetics Research, Vol. 116, 203-219, 2011.

5. Zhu, H., Z. H. Wu, X. Y. Zhang, and B. J. Hu, "Time-domain integral equation solver for radiation from dipole antenna loaded with general bi-isotropic objects," Progress In Electromagnetics Research B, Vol. 35, 349-367, 2011.
doi:10.2528/PIERB11081907

6. Zhu, M. D., X. L. Zhou, W. Luo, and W. Y. Yin, "Hybrid TDIE-TDPO method using weighted Laguerre polynomials for solving transient electromagnetic problems," Progress In Electromagnetics Research, Vol. 126, 375-398, 2012.
doi:10.2528/PIER11111302

7. Sirenko, K., V. Pazynin, Y. Sirenko, and H. Bagci, "An FFT-accelerated FDTD scheme with exact absorbing conditions for characterizing axially symmetric resonant structures," Progress In Electromagnetics Research, Vol. 111, 331-364, 2011.
doi:10.2528/PIER10102707

8. Wang, J. B., B. H. Zhou, L. H. Shi, C. Gao, and B. Chen, "A novel 3-D weakly conditionally stable FDTD algorithm," Progress In Electromagnetics Research, Vol. 130, 525-540, 2012.

9. Ergin, A. A., B. Shanker, and E. Michielssen, "The plane wave time-domain algorithm for the fast analysis of transient wave phenomena," IEEE Antennas Propagat. Mag., Vol. 41, No. 4, 39-52, Sept. 1999.
doi:10.1109/74.789736

10. Shanker, B., A. A. Ergin, K. Aygun, and E. Michielssen, "Analysis of transient electromagnetic scattering phenomena using a two-level plane wave time domain algorithm," IEEE Trans. on Antennas and Propagat., Vol. 48, No. 4, 510-523, Apr. 2000.
doi:10.1109/8.843664

11. Shanker, B., A. A. Ergin, M. Y. Lu, and E. Michielssen, "Fast analysis of transient electromagnetic scattering phenomena using the multilevel plane wave time domain algorithm," IEEE Trans. on Antennas and Propagat., Vol. 51, No. 3, 628-641, Mar. 2003.
doi:10.1109/TAP.2003.809054

12. Yilmaz, A. E., J. M. Jin, and E. Michielssen, "Time domain adaptive integral method for surface integral equations," IEEE Trans. on Antennas and Propagat., Vol. 52, No. 10, 2692-2708, Oct. 2004.
doi:10.1109/TAP.2004.834399

13. Yilmaz, A. E., J. M. Jin, and E. Michielssen, "Analysis of low-frequency electromagnetic transients by an extended time-domain adaptive integral method ," IEEE Trans. on Advanced Packaging, Vol. 30, No. 2, 301-312, May 2007.
doi:10.1109/TADVP.2007.895988

14. Ding, J., C. Gu, Z. Niu, and Z. Li, "Application of the equivalent dipole moment method for transient electromagnetic scattering," International Conference on Microwave and Millimeter Wave Technology, ICMMT 2012, Vol. 3, 898-900, 2012.

15. Ding, J., C. Gu, Z. Li, and Z. Niu, "Analysis of transient electromagnetic scattering using time domain equivalent dipole moment method," Journal of Electromagnetic Waves and Applications, Vol. 27, No. 1, 39-47, 2013.
doi:10.1080/09205071.2013.737911

16. Ding, J., C. Gu, Z. Li, and Z. Niu, "Analysis of transient electromagnetic scattering using time domain fast dipole method," Progress In Electromagnetics Research, Vol. 136, 543-559, 2013.

17. Chen, X., C. Gu, Z. Niu, and Z. Li, "Fast dipole method for electromagnetic scattering from perfect electric conducting targets," IEEE Trans. on Antennas and Propagat., Vol. 60, No. 2, 1186-1191, Feb. 2012.
doi:10.1109/TAP.2011.2167906

18. Chen, X., Z. Li, Z. Niu, and C. Gu, "Multilevel fast dipole method for electromagnetic scattering from perfect electric conducting targets," IET Microw. Antennas Propagat., Vol. 6, No. 3, 263-268, 2012.
doi:10.1049/iet-map.2011.0177

19. Chen, X., Z. Li, Z. Niu, and C. Gu, "Analysis of electromagnetic scattering from PEC targets using improved fast dipole method," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 16, 2254-2263, 2012.
doi:10.1163/156939311798147051

20. Aygun, K., M. Lu, B. Shanker, and E. Michielssen, "Analysis of PCB level EMI phenomena using an adaptive low-frequency plane wave time domain algorithm," IEEE International Symposium on Electromagnetic Compatibility, Vol. 1, 295-300, 2000.