volume | PIER Journals

Abstract

The generalized system function, H(s), directly associated with the radiated or scattered fields is presented in this paper, which is constructed by applying the model-based parameter estimation (MBPE) technique combined with the complex frequency theory. A complex frequency ω̃ relating the real resonant frequency with radiated or scattered Q factor is introduced to antenna and scattering systems. By analyzing the characteristics of complex poles and zeros of H(s) in a finite operational frequency band, and combining with adaptability of MBPE, we can determine the resonant frequency and Q-value of the antenna and scattering systems effectively. The intensity of resonance can be estimated in terms of Q-value and residues at the complex resonant frequencies. Some examples of the practical antenna arrays and scattering systems are given to illustrate the application and validity of the proposed approach in this paper.

1. Pocklington, H. C., "Electrical oscillations in wires," Proc. Cambridge Phil. Soc., Vol. 9, 324-332, 1897.

2. Garbacz, R. J., "Modal expansions for resonance scattering phenomena," Proceedings of the IEEE, Vol. 53, No. 8, 856-864, 1965.

3. Harrington, R. F., "Resonant behavior of a small aperture backed by a conducting body," IEEE Trans. Antenna Propagat., Vol. AP- 30, No. 2, 205-212, 1982.
doi:10.1109/TAP.1982.1142761 Google Scholar

4. Kong, J. A., Electromagnetic Wave Theory, Wiley-Interscience, 1986.

5. Veremey, V. V. and V. P. Shestopalov, "Superdirective radiation forming in antenna with passive resonant reflector," Radio Science, Vol. 26, No. 2, 631-636, 1991. Google Scholar

6. Liu, Z.-Y., X.-X. Zhang, Y.-W. Mao, Y. Y. Zhu, and et al, "Locally resonant sonic materials," Science, Vol. 289, No. 8, 1734-1736, 2000.
doi:10.1126/science.289.5485.1734 Google Scholar

7. Harrington, R. F., "Reactively controlled directive arrays," IEEE Trans. Antenna Propagat., Vol. AP-26, No. 3, 390-395, 1978.
doi:10.1109/TAP.1978.1141852 Google Scholar

8. Jin, M.-P., C.-H. Liang, and X.-W. Shi, "Transmission line analysis of generalized resonance in multiple conductors open system," Chinese Journal of Radio Science, Vol. 15, No. 1, 123-126, 2000. Google Scholar

9. Li, L. and C.-H. Liang, "Study of generalized resonance in antenna system," Proceedings of 2002 3rd International Symposium on Electromagnetic Compatibility, 162-165, 2002.

10. Fante, R. L., "Quality factor of general ideal antennas," IEEE Trans. Antenna Propagat., Vol. AP-17, No. 2, 151-155, 1969.
doi:10.1109/TAP.1969.1139411 Google Scholar

11. McLean, J. S., "A re-examination of the fundamental limits on the radiation Q of electrically small antennas," IEEE Trans. Antenna Propagat., Vol. AP-44, No. 5, 672-675, 1996.
doi:10.1109/8.496253 Google Scholar

12. Collin, R. E., "Minimum Q of small antennas," Journal of Electromagnetic Waves and Applications, Vol. 12, 1369-1393, 1998. Google Scholar

13. Grimes, D. M. and C. A. Grimes, "Radiation Q of dipolegenerated fields," Radio Sciences, Vol. 34, No. 2, 281-296, 1999.
doi:10.1029/1998RS900036 Google Scholar

14. Wen, G.-Y., P. Jarmuszewski, and Y.-H. Qi, "The foster reactance theorem for antennas and radiation Q," IEEE Trans. Antenna Propagat., Vol. AP-48, No. 3, 401-407, 2000. Google Scholar

15. Collin, R. E., Foundations for Microwave Engineering, McGraw Hill Book Company, 1966.

16. Reddy, C. J., "Application of model based parameter estimation for RCS frequency response calculations using method of moments," NASA/CR-1998-206951, No. 3, 1998-206951, 1998. Google Scholar

17. Miller, E. K. and G. J. Burke, "Using model-based parameter estimation to increase the physical interpretability and numerical efficiency of computational electromagnetic," Computer Physics Communications, Vol. 68, 43-75, 1991.
doi:10.1016/0010-4655(91)90193-O Google Scholar

18. Reddy, C. J., "Application of model based parameter estimation for fast frequency response calculations of input characteristics of cavity-backed aperture antennas using hybrid FEM/MoM technique," NASA/CR-1998-206950, No. 3, 1998-206950, 1998. Google Scholar

19. Polstyanko, S. V., R. Dyczij-Edlinger, and J. F. Lee, "Fast frequency sweep technique for the efficient analysis of dielectric wave-guides," IEEE Trans. Microwave Theory Tech., Vol. MTT- 45, No. 6, 1118-1126, 1997.
doi:10.1109/22.598450 Google Scholar

20. Davis, P. J., Interpolation and Approximation, Blaisdell Publishing Company, 1963.

21. Oppenheim, A. V., A. S. Willsky, and I. T. Young, Signals and Systems, Prentice-Hall, 1983.

22. Harrington, R. F., Field Computation by Moment Method, IEEE Press, 1993.

23. Bloch, A.R. D. Medhurst, and S. D. Pool, "A new approach to the design of super-directive aerial arrays," Proc. IEE, Vol. 100, 1081-1085, 1951.

24. Rao, S. M. and D. R. Wilton, "Transient scattering by conducting surface of arbitrary shape," IEEE Trans. Antenna Propagat., Vol. AP-39, No. 1, 56-61, 1991.
doi:10.1109/8.64435 Google Scholar

Prof. Long Li

Professor Chang-Hong Liang