Skip to main content
SpringerLink
Log in

Generalized system function analysis of resonant behavior of electromagnetic open systems

  • Published:
Science in China Series F: Information Sciences Aims and scope Submit manuscript

Abstract

The generalized system function, H(s), directly associated with the radiated or scattered fields is presented to effectively analyze the special resonant behavior of electromagnetic open systems in this paper, which is adaptively constructed by using the model-based parameter estimation (MBPE) technique in the complex frequency domain. By analyzing the characteristics of complex zeros, poles and residues of H(s) in a finite operational frequency band, we can effectively determine resonant frequencies and resonant intensity of electromagnetic open systems. It is known that an analysis of Q-factor of antenna and scattering systems has been an interesting and challenging problem. Based on H(s) and the complex frequency \(\tilde \omega \) theories, a complex frequency method for Q-factor of electromagnetic open systems is presented in this paper. Some examples of the practical antenna arrays are given to illustrate the applications and validity of the generalized system function theory proposed by this paper.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Garbacz, R. J., Modal expansions for resonance scattering phenomena, Proceedings of the IEEE, 1965, 53(8): 856–864.

    Article  Google Scholar 

  2. Harrington, R. F., Resonant behavior of a small aperture backed by a conducting body, IEEE Trans. Antenna Propagat., 1982, 30(2): 205–212.

    Article  MathSciNet  Google Scholar 

  3. Kong, J. A., Electromagnetic Wave Theory, New York: Wiley-Interscience, 1986.

    Google Scholar 

  4. Veremey, V. V., Shestopalov, V. P., Superdirective radiation forming in antenna with passive resonant reflector, Radio Science, 1991, 26(2): 631–636.

    Article  Google Scholar 

  5. Liu Zhengyou, Zhang Xixiang, Mao Yiwei et al., Locally resonant sonic materials, Science, 2000, 289(8): 1734–1736.

    Article  Google Scholar 

  6. Jin Mouping, Study of generalized resonance in electromagnetic scattering by multiple conductors, PhD dissertation, Xidian University, 2000.

  7. Li, L., Liang, C. H., Study of generalized resonance in antenna system, in Proceedings of 2002 3rd International Symposium on Electromagnetic Compatibility, Beijing, China, 2002, 162–165.

  8. Collin, R. E., Foundations for Microwave Engineering, New York: McGraw Hill Book Company, Inc., 1966.

    Google Scholar 

  9. Liang, C. H., Xie, Y. J., The accurate variational analysis for the measurement of the complex dielectric constant of a sample rod inserted in a cavity, Microwave and Optical Technology Letters, 1992, 5(5): 209–211.

    Article  Google Scholar 

  10. Reddy, C. J., Application of Model Based Parameter Estimation for RCS Frequency Response Calculations Using Method of Moments, NASA/CR-1998-206951, Mar. 1998.

  11. Miller, E. K., Burke, G. J., Using model-based parameter estimation to increase the physical interpretability and numerical efficiency of computational electromagnetic, Computer Physics Communications, 1991, 68: 43–75.

    Article  Google Scholar 

  12. 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, Mar. 1998.

  13. Werner, D. H., Allard, R. J., The simultaneous interpolation of antenna radiation patterns in both the spatial and frequency domains using model-based parameter estimation, IEEE Trans. Antennas Propagat., 2000, 48(3): 383–392.

    Article  Google Scholar 

  14. Harrington, R. F., Field Computation by Moment Method, New York: IEEE Press, 1993.

    Google Scholar 

  15. Fante Ronald, L., Quality factor of general ideal antennas, IEEE Trans. Antenna Propagat., 1969, 17(2): 151–155.

    Article  Google Scholar 

  16. McLean, J. S., A re-examination of the fundamental limits on the radiation Q of electrically small antennas, IEEE Trans. Antenna Propagat., 1996, 44(5): 672–675.

    Article  Google Scholar 

  17. Wen Geyi, Jarmuszewski, P., Qi Yihong, The Foster reactance theorem for antennas and radiation Q, IEEE Trans. Antenna Propagat., 2000, 48(3): 401–407.

    Article  Google Scholar 

  18. Adler, R. B., Chu, L. J., Fano, R. M., Electromagnetic Energy Transmission and Radiation, New York: John Wiley & Sons, 1960.

    MATH  Google Scholar 

  19. Polstyanko, S. V., Dyczij-Edlinger, R., Lee, J. F., Fast frequency sweep technique for the efficient analysis of dielectric wave-guides, IEEE Trans. Microwave Theory Tech., 1997, 45(6): 1118–1126.

    Article  Google Scholar 

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

    MATH  Google Scholar 

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

    Google Scholar 

  22. Tesche, F. M., On the analysis of scattering and antenna problems using singularity expansion technique, IEEE Trans. Antennas Propagat., 1973, 21(1): 53–62.

    Article  Google Scholar 

  23. Baum, C. E., Toward an engineering theory of electromagnetic scattering: the singularity and eigenmode expansion methods, in Electromagnetic Scattering (ed. Uslenghi, P. L. E.), New York: Academic, 1978.

    Google Scholar 

  24. Baum, C. E., Emerging technology for transient and broadband analysis and synthesis of antennas and scatterers, Proc. IEEE, 1976, 64: 1598–1616.

    Article  MathSciNet  Google Scholar 

  25. Bloch, A., Medhurst, R. D., Pool, S. D., A new approach to the design of super-directive aerial arrays, Proc. IEE, Pt. III, 1951, 100: 1081–1085.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Laboratory of Antennas and Microwave Technology, Xidian University, 710071, Xi’an, China

    Li Long, Shi Yan & Liang Changhong

  2. Institute of Signal and Data Processing, Xidian University, 710071, Xi’an, China

    Liu Haixia

Authors
  1. Li Long
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Liu Haixia
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shi Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Liang Changhong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Li Long.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, L., Liu, H., Shi, Y. et al. Generalized system function analysis of resonant behavior of electromagnetic open systems. Sci China Ser F 48, 615–631 (2005). https://doi.org/10.1360/04yf0241

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1360/04yf0241

Keywords

Search

Navigation