volume | PIER Journals

Abstract

A direct sub-domain moment-method formulation is presented for the analysis of arrays of thin-wire loops. Curved piecewise sinusoidal basis functions are used for the description of the currents on the loops, while both point matching and reaction matching are examined as testing schemes. Numerical results are provided for representative array structures with the intention to delve into the behavior of the solutions as the number of basis/testing functions grows, but also for the purpose of comparison with well-documented results. Finally, the complexity of the developed codes is estimated and general guidelines are provided for the efficient and accurate analysis of multi-element arrays.

1. Wu, T. T., "Theory of the thin circular loop antenna," Journal of Mathematical Physics, Vol. 3, No. 6, 1301-1304, 1962.
doi:10.1063/1.1703875

2. King, R. W. P., "The loop antenna for transmission and reception," Antenna Theory, 1969.

3. King, R. W. P. and C. W. Harrison, Antennas and Waves: A Modern Approach, Ch. 9, M.I.T. Press, Cambridge, MA, 1969.

4. Esselle, K. P. and S. S. Stuchly, "Resistively loaded loop as a pulse-receiving antenna," IEEE Transactions on Antennas and Propagation, Vol. 38, No. 7, 1123-1126, 1990.
doi:10.1109/8.55629

5. Zhou, G. and G. S. Smith, "An accurate theoretical model for the thin-wire circular half-loop antenna," IEEE Transactions on Antennas and Propagation, Vol. 39, No. 8, 1167-1177, 1991.
doi:10.1109/8.97352

6. Iizuka, K., R. W. P. King, and C. W. Harrison, "Self-and mutual admittances of two identical circular loop antennas in a conducting medium and in air," IEEE Transactions on Antennas and Propagation, Vol. 14, No. 4, 440-450, 1966.
doi:10.1109/TAP.1966.1138711

7. Ito, S., N. Inagaki, and T. Sekiguchi, "An investigation of the array of circular-loop antennas," IEEE Transactions on Antennas and Propagation, Vol. 19, No. 4, 469-476, 1971.
doi:10.1109/TAP.1971.1139954

8. Abul-Kassem, A. S. and D. C. Chang, "On two parallel loop antennas," IEEE Transactions on Antennas and Propagation, Vol. 28, No. 4, 491-496, 1980.
doi:10.1109/TAP.1980.1142370

9. Huang, Y., A. Nehorai, and G. Friedman, "Mutual coupling of two collocated orthogonally oriented circular thin-wire loops," IEEE Transactions on Antennas and Propagation, Vol. 51, No. 6, 1307-1314, 2003.
doi:10.1109/TAP.2003.812273

10. Krishnan, S., L.-W. Li, and M.-S. Leong, "Comments on 'Mutual coupling of two collocated orthogonally oriented circular thinwire loops'," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 6, 1625-1626, 2004.
doi:10.1109/TAP.2004.829407

11. Harrington, R. F., Field Computation by Moment Methods, MacMillan, New York, 1968.

12. Champagne II, N. J., J. T. Williams, and D. R. Wilton, "The use of curved segments for numerically modeling thin wire antennas and scatterers," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 6, 682-689, 1992.
doi:10.1109/8.144603

13. Sel¸cuk, A. and B. Saka, "A general method for the analysis of curved wire antennas," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 2, 175-188, 2007.
doi:10.1163/156939307779378835

14. Li, L.-W.C.-P. Lim and M.-S. Leong, "Method-of-moments analysis of electrically large circular-loop antennas: Nonuniform currents," IEE Proceedings on Microwaves, Vol. 146, No. 6, 416-420, 1999.

15. Krishnan, S., L.-W. Li, and M.-S. Leong, "Entire-domain MoM analysis of an array of arbitrarily oriented circular loop antennas: A general formulation," IEEE Transactions on Antennas and Propagation, Vol. 53, No. 9, 2961-2968, 2005.
doi:10.1109/TAP.2005.854553

16. Anastassiu, H. T., "Fast, simple and accurate computation of the currents on an arbitrarily large circular loop antenna," IEEE Transactions on Antennas and Propagation, Vol. 54, No. 3, 860-866, 2006.
doi:10.1109/TAP.2006.869929

17. Anastassiu, H. T., "An efficient algorithm for the input susceptance of an arbitrarily large, circular loop antenna," Electronics Letters, Vol. 42, No. 16, 897-898, 2006.
doi:10.1049/el:20061636

18. Papakanellos, P. J., "Alternative sub-domain moment methods for analyzing thin-wire circular loops," Progress In Electromagnetics Research, Vol. 71, 1-18, 2007.
doi:10.2528/PIER07020402

19. Shoamanesh, A. and L. Shafai, "Design data for coaxial Yagi array of circular loops," IEEE Transactions on Antennas and Propagation, Vol. 27, No. 5, 711-713, 1979.
doi:10.1109/TAP.1979.1142168

20. Avdikos, G. K. and H. T. Anastassiu, "Computational cost estimations and comparisons for three methods of applied electromagnetics," IEEE Antennas and Propagation Magazine, Vol. 47, No. 1, 121-129, 2005.
doi:10.1109/MAP.2005.1436248

21. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, Cambridge University Press, New York, 1992.

Dr. Panagiotis Papakanellos