Vol. 59
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]
2006-01-06
A Combined Method of Auxiliary Sources-Reaction Matching Approach for Analyzing Moderately Large-Scale Arrays of Cylindrical Dipoles
By
Progress In Electromagnetics Research, Vol. 59, 51-67, 2006
Abstract
In the present paper, a combined method of auxiliary sources (MAS)-reaction matching (RM) approach is presented for the analysis of arrays of arbitrarily located cylindrical dipoles. It is shown that the addition of auxiliary monopole terminal sources to each array element results in a superior solution with regard to the numerical stability of the computed quantities, the behavior of the current distributions of the array elements and the resulting errors of the electric field boundary condition. Numerical results are presented for various representative array configurations, in order to illustrate the features of the proposed method and exhibit its advantages over conventional Method of Moments (MoM) schemes, especially in cases of moderately large-scale arrays. Finally, a few concluding remarks are discussed.
Citation
Panagiotis Papakanellos, Ioannis Heretakis, and Pantelis Varlamos, "A Combined Method of Auxiliary Sources-Reaction Matching Approach for Analyzing Moderately Large-Scale Arrays of Cylindrical Dipoles," Progress In Electromagnetics Research, Vol. 59, 51-67, 2006.
doi:10.2528/PIER05091501
References

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

2. Miller, E. K. and F. J. Deadrick, "Some computational aspects of thin-wire modeling," Numerical and Asymptotic Techniques in Electromagnetics, 1975.

3. Mittra, R. and C. A. Klein, "Stability and convergence of moment method solutions," Numerical and Asymptotic Techniques in Electromagnetics, 1975.

4. Pearson, L. W. and C. M. Butler, "Inadequacies of collocation solutions to Pocklington-type models of thin-wire structures," IEEE Transactions on Antennas and Propagation, Vol. 23, No. 2, 295-298, 1975.
doi:10.1109/TAP.1975.1141054

5. Peterson, A. F., "Difficulties encountered when attempting to validate thin-wire formulations for linear dipole antennas," Applied Computational Electromagnetics Society Journal, Vol. 4, No. 3, 25-40, 1989.

6. Fikioris, G. and T. T. Wu, "On the application of numerical methods to Hallen's equation," IEEE Transactions on Antennas and Propagation, Vol. 49, No. 3, 383-392, 2001.
doi:10.1109/8.918612

7. Fikioris, G., J. Lionas, and C. Lioutas, "The use of the frill generator in thin-wire integral equations," IEEE Transactions on Antennas and Propagation, Vol. 51, No. 8, 1847-1854, 2003.
doi:10.1109/TAP.2003.815412

8. Papakanellos, P. J. and C. N. Capsalis, "On the combination of the method of auxiliary sources with reaction matching for the analysis of thin cylindrical antennas," International Journal of Numerical Modeling, Vol. 17, No. 5, 433-449, 2004.
doi:10.1002/jnm.549

9. Bogdanov, F. G., D. D. Karkashadze, and R. S. Zaridze, "The method of auxiliary sources in electromagnetic scattering problems," Generalized Multipole Techniques for Electromagnetic and Light Scattering, 1999.

10. Kaklamani, D. I. and H. T. Anastassiu, "Aspects of the method of auxiliary sources (MAS) in computational electromagnetics," IEEE Antennas and Propagation Magazine, Vol. 44, No. 3, 48-64, 2002.
doi:10.1109/MAP.2002.1028734

11. Richmond, J. H., "Radiation and scattering by thin-wire structures in a homogeneous conducting medium," IEEE Transactions on Antennas and Propagation, Vol. 22, No. 2, 1974.

12. Papakanellos, P. J. and C. N. Capsalis, "Estimation of the coupling between closely spaced transmitters using the method of auxiliary sources," Journal of Electromagnetic Waves and Applications, Vol. 17, No. 5, 785-805, 2003.
doi:10.1163/156939303322226473

13. King, H. E., "Mutual impedance of unequal length antennas in echelon," IRE Transactions on Antennas and Propagation, Vol. 5, No. 3, 306-313, 1957.
doi:10.1109/TAP.1957.1144509

14. Chuang, C. W., J. H. Richmond, N. Wang, and P. H. Pathak, "New expressions for mutual impedance of nonplanar skew sinusoidal monopoles," IEEE Transactions on Antennas and Propagation, Vol. 38, No. 2, 275-276, 1990.
doi:10.1109/8.45132

15. Clark, A. R., A. P. C. Fourie, and D. C. Nitch, "Stationary, nonstationary, and hybrid iterative method of moments solution schemes," IEEE Transactions on Antennas and Propagation, Vol. 49, No. 10, 1462-1469, 2001.
doi:10.1109/8.954935

16. Chen, Q., Q. Yuan, and K. Sawaya, "Fast algorithm for solving matrix equation in MoM analysis of large-scale array antennas," IEICE Transactions on Communications, Vol. E85-B, No. 11, 2482-2488, 2002.

17. Thiele, G. A., "Analysis of Yagi-Uda type antennas," IEEE Transactions on Antennas and Propagation, Vol. 17, No. 1, 24-31, 1969.
doi:10.1109/TAP.1969.1139356