volume | PIER Journals

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}.

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

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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. Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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

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. Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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. Google Scholar

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. Google Scholar

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

Mr. Janic Chauveau

Dr. Nicole de Beaucoudrey

Professor Joseph Saillard