Vol. 94
Latest Volume
All Volumes
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]
2009-07-28
Accurate and Efficient Evaluation of MoM Matrix Based on a Generalized Analytical Approach
By
Progress In Electromagnetics Research, Vol. 94, 367-382, 2009
Abstract
Based on an analytical expression for the integration of the free-space Green's function involving any combination of basis and test functions, an accurate and highly efficient method to determine the Method of Moments matrix has been developed. A full analytical expression is obtained through direct integration of the Taylor's series expansion of the free-space Green's function. Based on the distance between the source and observation points, a criterion is established to reduce the full expression to a much-simplified expression, which speeds up the computational efficiency to fill up the Method of Moments matrix without compromising the solution accuracy.
Citation
Kye See Eng Kee Chua Zhihong Liu , "Accurate and Efficient Evaluation of MoM Matrix Based on a Generalized Analytical Approach," Progress In Electromagnetics Research, Vol. 94, 367-382, 2009.
doi:10.2528/PIER09063002
http://www.jpier.org/PIER/pier.php?paper=09063002
References

1. Harrington, R. F., Field Computation by Moment Methods, 2nd Ed., IEEE Press, 1993.

2. Miller, E. K., Computational Electromagnetics: Frequency-Domain Method of Moments, IEEE Press, 1992.

3. Peterson, A. F., S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics, IEEE Press, 1998.

4. Araujo, M. G., J. M. Bertolo, F. Obelleiro, J. L. Rodriguez, J. M. Taboada, and L. Landesa, "Geometry based preconditioner for radiation problems involving wire and surface basis functions," Progress In Electromagnetics Research, Vol. 93, 29-40, 2009.
doi:10.2528/PIER09042104

5. Yeo, J. and R. Mittra, "An algorithm for interpolating the frequency variations of method-of-moments matrices arising in the analysis of planar microstrip structures," IEEE Trans. Microw. Theory & Techn., Vol. 51, No. 3, 1018-1025, 2003.
doi:10.1109/TMTT.2003.808703

6. Fasenfest, B. J., F. Capolino, D. R. Wilton, D. R. Jackson, and N. J. Champagne, "A fast MoM solution for large arrays: Green's function interpolation with FFT," IEEE Antennas and Wireless Propag. Letter, Vol. 3, No. 9, 161-164, 2004.
doi:10.1109/LAWP.2004.833713

7. Soliman, E. A., "Rapid frequency sweep technique for MoM planar solvers," IEE Proc. Microw. Antennas Propag., Vol. 151, No. 4, 277-282, 2004.
doi:10.1049/ip-map:20040646

8. Soliman, E. A., A. K. Abdelmageed, and M. A. El-Gamal, "Neural computation of the MoM matrix elements for planar configurations," Int. J. of Electronics and Communications, Vol. 56, No. 3, 155-162, 2002.
doi:10.1078/1434-8411-54100089

9. Xiong, Y., D. G. Fang, and Q. J. Zhang, "Application of two-dimensional AWE algorithm in training neural networks," 3rd Int. Conf. on Microw. and Millimeter Wave Tech. Proc., 879-882, 2002.
doi:10.1109/ICMMT.2002.1187842

10. Soliman, E. A., H. B. Mohamed, and K. N. Natalia, "Neural networks-method of moments (NN-MoM) for the efficient filling of the coupling matrix," IEEE Trans. Antennas Propag., Vol. 52, No. 6, 1521-1529, 2004.
doi:10.1109/TAP.2004.829846

11. Tarricone, L., M. Mongiardo, and F. Cervelli, "A quasi one-dimensional integration technique for the analysis of planar microstrip circuits via MPIE/MoM," IEEE Trans. Microw. Theory & Techn., Vol. 49, No. 3, 517-523, 2001.
doi:10.1109/22.910556

12. Smith, J. R. and M. S. Mirotznik, "Analytical simplification of the 2-D method of moments impedance integral," IEEE Trans. Antennas Propag., Vol. 52, No. 12, 3288-3294, 2004.
doi:10.1109/TAP.2004.835164

13. Smith, J. R. and M. S. Mirotznik, "Moments via integral transform method for 2-D dielectric materials," IEEE Trans. Antennas Propag., Vol. 53, No. 1, 560-563, 2005.
doi:10.1109/TAP.2004.838749

14. Mahadevan, K. and H. A. Auda, "Electromagnetic field of a rectangular patch of uniform and linear distributions of current," IEEE Trans. Antennas Propag., Vol. 37, No. 12, 1503-1509, 1989.
doi:10.1109/8.45090

15. Alatan, L., M. I. Aksun, K. Mahadevan, and M. T. Birand, "Analytical evaluation of the MoM matrix elements," IEEE Trans. Microw. Theory & Techn., Vol. 44, No. 4, 519-525, 1996.
doi:10.1109/22.491019

16. Chua, E. K., K. Y. See, and Z. H. Liu, "Accurate and e±cient computation of MoM matrix involving 2D triangular basis function with line matching," Int. J. of Computational Methods, Vol. 3, No. 3, 355-370, 2006.
doi:10.1142/S0219876206000928

17. Wei, X.-C., E. P. Li, and Y. J. Zhang, "Application of the improved finite element-fast multipole method on large scattering problems," Progress In Electromagnetics Research, Vol. 47, 49-60, 2004.
doi:10.2528/PIER03092501

18. Zhao, P. and H.-G. Wang, "Resistances and inductances extraction using surface integral equation with the acceleration of multilevel green function interpolation method," Progress In Electromagnetics Research, Vol. 83, 43-54, 2008.
doi:10.2528/PIER08032001

19. Wei, X. C., E. P. Li, and C. H. Liang, "Fast solution for large scale electromagnetic scattering problems using wavelet transform and its precondition," Journal of Electromagnetic Waves and Applications, Vol. 17, No. 4, 611-613, 2003.
doi:10.1163/15693930360681965

20. Hussein, K. F. A., "Fast computational algorithm for EFIE applied to arbitrarily-shaped conducting surfaces," Progress In Electromagnetics Research, Vol. 68, 339-357, 2007.
doi:10.2528/PIER06122502

21. See, K. Y. and E. M. Freeman, "Rigorous approach to modeling electromagnetic radiation from finite-size printed circuit structures," IEE Proc. Microw., Antenna & Propag., Vol. 146, No. 1, 29-34, 1999.
doi:10.1049/ip-map:19990145

22. Wei, X. C., E. P. Li, Y. L. Guan, and Y. H. Chong, "Simulation and experimental comparison of different coupling mechanisms for the wireless electricity transfer," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 7, 925-934, 2009.
doi:10.1163/156939309788355180