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2007-05-03
Characterization of Perfectly Conducting Targets in Resonance Domain with Their Quality of Resonance
By
Progress In Electromagnetics Research, Vol. 74, 69-84, 2007
Abstract
In resonance domain, the radar scattering response of any object can be modelled by natural poles of resonance with the formalism of the Singularity Expansion Method. The mapping of these poles in the complex plane gives useful information for the discrimination of a radar target, as its general shape, its characteristic dimension and its constitution. In this paper, we use an analogy with resonant circuits modelling to define the quality factor Q of each resonance. Therefore, we propose to characterize the resonance behavior of perfectly conducting targets with this quality factor Q and the natural pulsation of resonance ω0. Indeed, this new representation in {ω0;Q} allows to better separate information than the usual mapping of natural poles of resonance in the complex plane. For perfectly conducting canonical and complex shape targets, we present results exhibiting advantages of these two parameters {ω0;Q}.
Citation
Janic Chauveau, Nicole de Beaucoudrey, and Joseph Saillard, "Characterization of Perfectly Conducting Targets in Resonance Domain with Their Quality of Resonance," Progress In Electromagnetics Research, Vol. 74, 69-84, 2007.
doi:10.2528/PIER07041602
References

1. Baum, C. E., "The singularity expansion method," Transient Electromagnetic Field, 129-179, 1976.

2. Baum, C. E.E. J. Rothwell, K. M. Chen, and D. P. Nyquist, "The singularity expansion method and its application to target identification," Proceedings of the IEEE, Vol. 79, No. 10, 1481-1492, 1991.

3. Rothwell, E. J., K. M. Chen, and D. P. Nyquist, "Extraction of the natural frequencies of a radar target from a measured response using E-pulse techniques," IEEE Trans. Ant. Prop., Vol. 35, No. 6, 715-720, 1987.
doi:10.1109/TAP.1987.1144166

4. Chen, K. M., D. P. Nyquist, E. J. Rothwell, L. L Webb, and B. Drachman, "Radar target discrimination by convolution of radar return with extinction-pulses and single-mode extraction signals," IEEE Trans. Ant. Prop., Vol. 34, No. 7, 896-904, 1986.
doi:10.1109/TAP.1986.1143908

5. Toribio, R., P. Pouliguen, and J. Saillard, "Identification of radar targets in resonance zone: E-pulse techniques," Progress In Electromagnetics Research, Vol. 43, 39-58.
doi:10.2528/PIER02100201

6. Lee, J. H. and H. T. Kim, "Radar target discrimination using transient response reconstruction," Journal of Electromagnetic Waves and Applications, No. 5, 655-669, 2005.
doi:10.1163/1569393053305062

7. Chen, C-C., "Electromagnetic resonances of immersed dielectric spheres," IEEE Trans. Ant. Prop., Vol. 46, No. 7, 1074-1083, 1998.
doi:10.1109/8.704811

8. Kennaugh, E. M. and D. L. Moffatt, "Transient and impulse response approximations," Proceedings of the IEEE, Vol. 53, No. 8, 893-901, 1965.

9. Cauchy, A. L., "Sur la formule de Lagrange relative `a l'interpolation," Analyse Algebrique, 1821.

10. Adve, R. S., T. K. Sarkar, S. M. Rao, E. K Miller, and D. R. Pflug, "Application of the Cauchy method for extrapolating/ interpolating narrow-band system responses," IEEE Trans. Mic. Theory and Tech., Vol. 45, No. 5, 837-845, 1997.
doi:10.1109/22.575608

11. Tesche, F. M., "On the analysis of scattering and antenna problems using the singularity expansion technique," IEEE Trans. Ant. Prop., Vol. 21, No. 1, 53-62, 1973.
doi:10.1109/TAP.1973.1140398

12. Moffatt, D. L. and K. A. Shubert, "Natural resonances via rational approximants," IEEE Trans. Ant. Prop., Vol. 25, No. 5, 657-660, 1977.
doi:10.1109/TAP.1977.1141661

13. Kumaresan, R., "On a frequency domain analog of Prony's method," IEEE Trans. on Acoustics, Vol. 38, 168-170, 1990.

14. Prony, R., "Essai experimental et analytique sur les lois de la dilatabilite de fluides elastiques et sur celles de la force expansive de la vapeur de l'alcool `a differentes temperatures," J. de l'Ecole Polytechnique, Vol. 1, 24-76, 1795.

15. Sarkar, T. K. and O. Pereira, "Using the matrix pencil method to estimate the parameters of a sum of complex exponentials," IEEE Ant. and Prop. Mag., Vol. 37, No. 1, 48-55, 1995.
doi:10.1109/74.370583

16. Wang, S. G., X. P. Guan, X. Y. Ma, D. W. Wang, and Y. Su, "Calculating the poles of complex radar targets," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 14, 2065-2076, 2006.
doi:10.1163/156939306779322657

17. Lee, J. H. and H. T. Kim, "Hybrid method for natural frequency extraction: Performance improvement using Newton-Raphson method," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 8, 1043-1055, 2005.
doi:10.1163/156939305775526061

18. Rothwell, E., "Natural-mode representation for the field reflected by an inhomogeneous conductor-backed material layer-TE case," Progress In Electromagnetics Research, Vol. 63, 1-20, 2006.
doi:10.2528/PIER06051801

19. FEKO-EM Software and Systems, www.feko.info, Technopark- Stellenbosch, South Africa..

20. Berni, A. J., "Target identification by natural resonance estimation," IEEE Trans. on Aerospace and Electronic Systems, Vol. AES-11, No. 2, 147-154, 1975.
doi:10.1109/TAES.1975.308051

21. Li, L. 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.
doi:10.2528/PIER03091501

22. Gustafsson, M. and S. Nordebo, "Bandwidth, Q factor, and resonance models of antennas," Progress In Electromagnetics Research, Vol. 62, 1-20, 2006.
doi:10.2528/PIER06033003

23. Long, Y., "Determination of the natural frequencies for conducting rectangular boxes," IEEE Trans. Ant. Prop., Vol. 42, No. 7, 1016-1021, 1994.
doi:10.1109/8.299607

24. Chauveau, J., N. de Beaucoudrey, and J. Saillard, "Characterization of radar targets in resonance domain with a reduced number of natural poles," EuMW/Eurad, No. 10, 69-72, 2005.

25. Chauveau, J., N. de Beaucoudrey, and J. Saillard, "Analysis of complex shape targets by natural poles of resonance. Determination of characteristic dimensions," URSI B-279.9, No. 7, 2006.

26. Toribio, R., "Methodes d'extraction de pˆoles de resonance: Application `a la caracterisation de cibles," Ph.D. thesis, 2002.