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2007-02-20
Alternative Sub-Domain Moment Methods for Analyzing Thin-Wire Circular Loops
By
, Vol. 71, 1-18, 2007
Abstract
An alternative sub-domain formulation is presented, in two variants, for the analysis of thin-wire circular loops via moment methods. Curved piecewise sinusoids are used as basis functions, while both point matching and reaction matching (Galerkin's method) are examined as testing schemes. The present study is primarily focused on frill-driven loops, but some of the essential similarities and differences between them and gap-driven ones are also discussed in brief. Numerical results are presented to verify the two variants of the proposed formulation and demonstrate their capabilities for analyzing small and large loops. Special attention is drawn to the behavior of the solutions as the number of basis/testing functions grows. Finally, a complexity analysis is attempted and the potential savings in execution times that may be attained by taking advantage of certain features of the proposed numerical schemes are discussed.
Citation
Panagiotis Papakanellos, "Alternative Sub-Domain Moment Methods for Analyzing Thin-Wire Circular Loops," , Vol. 71, 1-18, 2007.
doi:10.2528/PIER07020402
References

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. 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

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

6. 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

7. Rogers, S. D. and C. M. Butler, "An efficient curved-wire integral equation solution technique," IEEE Transactions on Antennas and Propagation, Vol. 49, No. 1, 70-79, 2001.
doi:10.1109/8.910532

8. 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.

9. 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

10. 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

11. 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

12. Fikioris, G., "The approximate integral equation for a cylindrical scatterer has no solution," Journal of Electromagnetic Waves and Applications, Vol. 15, No. 9, 1153-1159, 2001.

13. Fikioris, G., J. Lionas, and C. G. 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

14. King, R. W. P., G. J. Fikioris, and R. B. Mack, Cylindrical Antennas and Arrays, Chs. 1 and 13, Cambridge University Press, Cambridge, MA, 2002.

15. Jensen, M. A. and Y. Rahmat-Samii, "Electromagnetic characteristics of superquadric wire loop antennas," IEEE Transactions on Antennas and Propagation, Vol. 42, No. 2, 264-269, 1994.
doi:10.1109/8.277222

16. Fikioris, G. and C. A. Valagiannopoulos, "Input admittances arising from explicit solutions to integral equations for infinitelength dipole antennas," Progress In Electromagnetics Research, Vol. 55, 285-306, 2005.
doi:10.2528/PIER05031701

17. Fikioris, G., P. J. Papakanellos, and H. T. Anastassiu, "On the use of nonsingular kernels in certain integral equations for thinwire circular-loop antennas," submitted to IEEE Transactions on Antennas and Propagation..

18. 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

19. 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

20. Fikioris, G., "On two types of convergence in the method of auxiliary sources," IEEE Transactions on Antennas and Propagation, Vol. 54, No. 7, 2022-2033, 2006.
doi:10.1109/TAP.2006.877171

21. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, Chs. 2 and 4, Cambridge University Press, New York, 1992.

22. 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

23. Werner, D. H., "An exact integration procedure for vector potentials of thin circular loop antennas," IEEE Transactions on Antennas and Propagation, Vol. 44, No. 2, 157-165, 1996.
doi:10.1109/8.481642

24. Overfelt, P. L., "Near fields of the constant current thin circular loop antenna of arbitrary radius," IEEE Transactions on Antennas and Propagation, Vol. 44, No. 2, 166-171, 1996.
doi:10.1109/8.481643

25. Li, L.-W., M.-S. Leong, P.-S. Kooi, and T.-S. Yeo, "Exact solutions of electromagnetic fields in both near and far zones radiated by thin circular-loop antennas: A general representation," IEEE Transactions on Antennas and Propagation, Vol. 45, No. 12, 1741-1748, 1997.
doi:10.1109/8.650191