Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 46 > pp. 165-188


By L. Li and C.-H. Liang

Full Article PDF (220 KB)

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.

Citation: (See works that cites this article)
L. Li and C.-H. Liang, "Analysis of Resonance and Quality Factor of Antenna and Scattering Systems Using Complex Frequency Method Combined with Model-Based Parameter Estimation," Progress In Electromagnetics Research, Vol. 46, 165-188, 2004.

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.

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

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.

7. Harrington, R. F., "Reactively controlled directive arrays," IEEE Trans. Antenna Propagat., Vol. AP-26, No. 3, 390-395, 1978.

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.

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.

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.

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

13. Grimes, D. M. and C. A. Grimes, "Radiation Q of dipolegenerated fields," Radio Sciences, Vol. 34, No. 2, 281-296, 1999.

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.

15. Collin, R. E., Foundations for Microwave Engineering, McGraw Hill Book Company, Inc., New York, 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.

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.

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.

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.

20. Davis, P. J., Interpolation and Approximation, Blaisdell Publishing Company, A Division of Ginn and Company, New York, 1963.

21. Oppenheim, A. V., A. S. Willsky, and I. T. Young, Signals and Systems, Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1983.

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

© Copyright 2014 EMW Publishing. All Rights Reserved