Vol. 81
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]
2008-01-08
A Moment Method Simulation of Electromagnetic Scattering from Conducting Bodies
By
Progress In Electromagnetics Research, Vol. 81, 99-119, 2008
Abstract
In this paper a moment method simulation of electromagnetic scattering problem is presented. An effective numerical method for solving this problem based on the method of moments and using block-pulse basis functions is proposed. Some examples of engineering interest are included to illustrate the procedure. The scattering problem is treated in detail, and illustrative computations are given for some cases. This method can be generalized to apply to objects of arbitrary geometry and arbitrary material.
Citation
Saeed Hatamzadeh, Mohammad Naser-Moghadasi, and Zahra Masouri, "A Moment Method Simulation of Electromagnetic Scattering from Conducting Bodies," Progress In Electromagnetics Research, Vol. 81, 99-119, 2008.
doi:10.2528/PIER07122502
References

1. Wilton, D. R. and C. M. Butler, "Effective methods for solving integral and integro-differential equations," Electromagnetics, Vol. 1, 289-308, 1981.
doi:10.1080/02726348108915136

2. Harrington, R. F., "Matrix methods for field problems," Proc. IEEE, Vol. 55, No. 2, 136-149, 1967.

3. Mishra, M. and N. Gupta, "Monte carlo integration technique for the analysis of electromagnetic scattering from conducting surfaces," Progress In Electromagnetics Research, Vol. 79, 91-106, 2008.
doi:10.2528/PIER07092005

4. Arnold, M. D., "An efficient solution for scattering by a perfectly conducting strip grating," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 7, 891-900, 2006.
doi:10.1163/156939306776149905

5. Zhao, J. X., "Numerical and analytical formulations of the extended MIE theory for solving the sphere scattering problem," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 7, 967-983, 2006.
doi:10.1163/156939306776149815

6. Ruppin, R., "Scattering of electromagnetic radiation by a perfect electromagnetic conductor sphere," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 12, 1569-1576, 2006.
doi:10.1163/156939306779292390

7. Ruppin, R., "Scattering of electromagnetic radiation by a perfect electromagnetic conductor cylinder," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 13, 1853-1860, 2006.
doi:10.1163/156939306779292219

8. Hussein, K. F. A., "Efficient near-field computation for radiation and scattering from conducting surfaces of arbitrary shape," Progress In Electromagnetics Research, Vol. 69, 267-285, 2007.
doi:10.2528/PIER07010302

9. 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

10. Kishk, A. A., "Electromagnetic scattering from composite objects using a mixture of exact and impedance boundary conditions," IEEE Transactions on Antennas and Propagation, Vol. 39, No. 6, 826-833, 1991.
doi:10.1109/8.86883

11. Caorsi, S., A. Massa, and M. Pastorino, "A numerical solution to full-vector electromagnetic scattering by three-dimensional nonlinear bounded dielectrics," IEEE Transactions on Microwave Theory and Techniques, Vol. 43, No. 2, 428-436, 1995.
doi:10.1109/22.348105

12. Shore, R. A. and A. D. Yaghjian, "Dual-surface integral equations in electromagnetic scattering," IEEE Transactions on Antennas and Propagation, Vol. 53, No. 5, 1706-1709, 2005.
doi:10.1109/TAP.2005.846806

13. Ylä-Oijala, P. and M. Taskinen, "Well-conditioned Muller formulation for electromagnetic scattering by dielectric objects," IEEE Transactions on Antennas and Propagation, Vol. 53, No. 10, 3316-3323, 2005.
doi:10.1109/TAP.2005.856313

14. Li, L. W., P. S. Kooi, Y. L. Qin, T. S. Yeo, and M. S. Leong, "Analysis of electromagnetic scattering of conducting circular disk using a hybrid method," Progress In Electromagnetics Research, Vol. 20, 101-123, 1998.
doi:10.2528/PIER97111200

15. Liu, Y. and K. J. Webb, "On detection of the interior resonance errors of surface integral boundary conditions for electromagnetic scattering problems," IEEE Transactions on Antennas and Propagation, Vol. 49, No. 6, 939-943, 2001.
doi:10.1109/8.931152

16. Kishk, A. A., "Electromagnetic scattering from transversely corrugated cylindrical structures using the asymptotic corrugated boundary conditions," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 11, 3104-3108, 2004.
doi:10.1109/TAP.2004.835234

17. Tong, M. S. and W. C. Chew, "Nystrom method with edge condition for electromagnetic scattering by 2d open structures," Progress In Electromagnetics Research, Vol. 62, 49-68, 2006.
doi:10.2528/PIER06021901

18. Valagiannopoulos, C. A., "Closed-form solution to the scattering of a skew strip field by metallic pin in a slab," Progress In Electromagnetics Research, Vol. 79, 1-21, 2008.
doi:10.2528/PIER07092206

19. Frangos, P. V. and D. L. Jaggard, "Analytical and numerical solution to the two-potential Zakharov-Shabat inverse scattering problem," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 4, 399-404, 1992.
doi:10.1109/8.138841

20. Barkeshli, K. and J. L. Volakis, "Electromagnetic scattering from thin strips-Part II: Numerical solution for strips of arbitrary size," IEEE Transactions on Education, Vol. 47, No. 1, 107-113, 2004.
doi:10.1109/TE.2003.818275

21. Collino, F., F. Millot, and S. Pernet, "Boundary-integral methods for iterative solution of scattering problems with variable impedance surface condition," Progress In Electromagnetics Research, Vol. 80, 1-28, 2008.
doi:10.2528/PIER07103105

22. Zahedi, M. M. and M. S. Abrishamian, "Scattering from semi-elliptic channel loaded with impedance elliptical cylinder," Progress In Electromagnetics Research, Vol. 79, 47-58, 2008.
doi:10.2528/PIER07091803

23. Zaki, K. A. and A. R. Neureuther, "Scattering from a perfectly conducting surface with a sinusoidal height profile: TE polarization," IEEE Transactions on Antennas and Propagation, Vol. AP-19, No. 2, 208-214, 1971.
doi:10.1109/TAP.1971.1139908

24. Carpentiery, B., "Fast iterative solution methods in electromagnetic scattering," Progress In Electromagnetics Research, Vol. 79, 151-178, 2008.
doi:10.2528/PIER07100802

25. Du, Y., Y. L. Luo, W. Z. Yan, and J. A. Kong, "An electromagnetic scattering model for soybean canopy," Progress In Electromagnetics Research, Vol. 79, 209-223, 2008.
doi:10.2528/PIER07101603

26. Umashankar, K. R. and S. Nimmagadda, "and A. Taflove Numerical analysis of electromagnetic scattering by electrically large objects using spatial decomposition technique," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 8, 867-877, 1992.
doi:10.1109/8.163424

27. Gokten, M., A. Z. Elsherbeni, and E. Arvas, "Electromagnetic scattering analysis using the two-dimensional MRFD formulation," Progress In Electromagnetics Research, Vol. 79, 387-399, 2008.
doi:10.2528/PIER07102407

28. Hatamzadeh-Varmazyar, S. and M. Naser-Moghadasi, "New numerical method for determining the scattered electromagnetic fields from thin wires," Progress In Electromagnetics Research B, Vol. 3, 207-218, 2008.
doi:10.2528/PIERB07121303

29. Hatamzadeh-Varmazyar, S. and M. Naser-Moghadasi, "An integral equation modeling of electromagnetic scattering from the surfaces of arbitrary resistance distribution," Progress In Electromagnetics Research B, Vol. 3, 157-172, 2008.
doi:10.2528/PIERB07121404

30. Abd-El-Ranouf, H. E. and R. Mittra, "Scattering analysis of dielectric coated cones," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, 1857-1871, 2007.

31. Choi, S. and N.-H. Myung, "Scattering analysis of open-ended cavity with inner object," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 12, 1689-1702, 2007.

32. Li, Y.-L., J.-Y. Huang, and S.-H. Gong, "The scattering cross section for a target irradiated by time-varying electromagnetic waves," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 9, 1265-1271, 2007.

33. Rui, P.-L. and R. Chen, "Implicity restarted GMRES fast fourier transform method for electromagnetic scattering," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 7, 973-976, 2007.
doi:10.1163/156939307780748968

34. Nicolic, N., J. S. Kot, and S. S. Vinogradov, "Scattering by a Luneberg lens partially covered by a metallic cap," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 4, 549-563, 2007.
doi:10.1163/156939307780616856

35. Yuan, H.-W., S.-X. Gong, X. Wang, and W.-T Wang, "Scattering analysis of a printed dipole antenna using PBG structures," Progress In Electromagnetics Research B, Vol. 1, 189-195, 2008.
doi:10.2528/PIERB07102302

36. Faghihi, F. and H. Heydari, "A combination of time domain finite element-boundary integral and with time domain physical optics for calculation of electromagnetic scattering of 3-D structures," Progress In Electromagnetics Research, Vol. 79, 463-474, 2008.
doi:10.2528/PIER07110206

37. Ahmed, S. and Q. A. Naqavi, "Electromagnetic scattering from a perfect electromagnetic conductor cylinder buried in a dielectric half-space," Progress In Electromagnetics Research, Vol. 78, 25-38, 2008.
doi:10.2528/PIER07081601

38. Valagiannopoulos, C. A., "Electromagnetic scattering from two eccentric metamaterial cylinders with frequency-dependent permittivities differing slightly each other," Progress In Electromagnetics Research B, Vol. 3, 23-34, 2008.
doi:10.2528/PIERB07112906

39. Hady, L. K. and A. A. Kishk, "Electromagnetic scattering from conducting circular cylinder coated by meta-materials and loaded with helical strips under oblique incidence," Progress In Electromagnetics Research B, Vol. 3, 189-206, 2008.
doi:10.2528/PIERB07121107

40. Zainud-Deen, S. H., A. Z. Botros, and M. S. Ibrahim, "Scattering from bodies coated with metamaterial using FDFD method," Progress In Electromagnetics Research B, Vol. 2, 279-290, 2008.
doi:10.2528/PIERB07112803

41. Li, Y.-L., J.-Y. Huang, M.-J. Wang, and J. Zhang, "Scattering field for the ellipsoidal targets irradiated by an electromagnetic wave with arbitrary polarizing and propagating direction," Progress In Electromagnetics Research Letters, Vol. 1, 221-235, 2008.
doi:10.2528/PIERL07120610

42. Delves, L. M. and J. L. Mohamed, Computational Methods for Integral Equations, Cambridge University Press, 1985.

43. Balanis, C. A., Advanced Engineering Electromagnetics, Wiley, 1989.

44. Babolian, E. and Z. Masouri, "Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions," Journal of Computational and Applied Mathematics, 1016.

45. Babolian, E. and A. Salimi Shamloo, "Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions," Journal of Computational and Applied Mathematics, 1016.

46. Bancroft, R., Understanding Electromagnetic Scattering Using the Moment Method, Artech House, 1996.

47. Elliot, R. S., Antenna Theory and Design, Englewood Cliffs, 1981.

48. Stutsman, W. L. and G. A. Thiele, Antenna Theory and Design, John Wiley & Sons, 1998.