volume | PIER Journals

Abstract

Reverberation chambers (RCs) were recently reported as a low-cost alternative to anechoic chambers (ACs) to perform radar cross-section (RCS) pattern measurements. The method consists i, using transmitting and receiving antennas pointing towards a target under test placed on a rotating mast. As a classical RCS characterization, the echo signal is analysed based on two measurements with and without the target in the RC. In the hypothesis of an ideal diffuse field generated in the RC, this signal difference appears as the echo signal hidden in a Gaussian noise. In case of a point-like backscattering target, observing this signal over a given frequency bandwidth allows the identification of the target response as a sinusoidal signal over this bandwidth whose period is related to the antenna-target distance measured from the measurement calibration plane positions. Therefore, the extraction of the magnitude of this sinusoidal signal requires a proper estimation of this distance. Furthermore, a sinusoidal regression processing relies on the approximation of a constant envelope over the selected frequency bandwidth, imposing some restrictions. In this paper, we introduce a two-step method that consists in identifying the most appropriate distance according to the target's orientation before estimating the magnitude of the sinusoidal signal. We highlight the improvement of RCS estimation on a point-like back-scattering target compared to the one-step procedure applied so far. In addition, it is shown that the analysis performed regarding the estimated distance provides a physical insight into the position of the equivalent backscattering point.

1. Corona, Paolo, Gaetano Latmiral, Enrico Paolini, and Luigi Piccioli, "Use of a reverberating enclosure for measurements of radiated power in the microwave range," IEEE Transactions on Electromagnetic Compatibility, Vol. 18, No. 2, 54-59, May 1976.

2. Hill, D. A., Electromagnetic Fields in Cavities: Deterministic and Statistical Theories, John Wiley & Sons, 2009.

3. Besnier, P. and B. Demoulin, Electromagnetic Reverberation Chambers, ISTE Wiley & Sons, Aug. 2011.

4. Andrieu, G., "Electromagnetic Reverberation Chambers: Recent advances and innovative applications," The Institution of Engineering and Technology, Feb. 2021.

5. Puls, Audrey K., John M. Ladbury, and William F. Young, "Antenna radiation pattern measurements using a reverberation chamber," 2018 AMTA Proceedings, 1-6, Williamsburg, VA, USA, 2018.

6. García-Fernández, Miguel Ángel, David Carsenat, and Cyril Decroze, "Antenna radiation pattern measurements in reverberation chamber using plane wave decomposition," IEEE Transactions on Antennas and Propagation, Vol. 61, No. 10, 5000-5007, 2013.

7. Xu, Qian, Yi Huang, Lei Xing, et al. "3-D antenna radiation pattern reconstruction in a reverberation chamber using spherical wave decomposition," IEEE Transactions on Antennas and Propagation, Vol. 65, No. 4, 1728-1739, Apr. 2017.

8. Krouka, W., F. Sarrazin, J. Sol, P. Besnier, and E. Richalot, "Comparison of antenna radiation efficiency measurement techniques in reverberation chamber using or not a reference antenna," 2020 14th European Conference on Antennas and Propagation (EuCAP), 1-4, 2020.

9. Reis, Ariston, François Sarrazin, Philippe Besnier, Philippe Pouliguen, and Elodie Richalot, "Contactless antenna gain pattern estimation from backscattering coefficient measurement performed within a reverberation chamber," IEEE Transactions on Antennas and Propagation, Vol. 70, No. 3, 2318-2321, Mar. 2022.

10. Remley, K. A., J. Dortmans, C. Weldon, et al. "Configuring and verifying reverberation chambers for testing cellular wireless devices," IEEE Transactions on Electromagnetic Compatibility, Vol. 58, No. 3, 661-672, Jun. 2016.

11. Skårbratt, Anton, John Åsberg, and Charlie Orlenius, "Over-the-air performance testing of wireless terminals by data throughput measurements in reverberation chamber," Proceedings of the 5th European Conference on Antennas and Propagation (EUCAP), 615-619, Rome, Italy, 2011.

12. Chen, Xiaoming, "Channel sounding of loaded reverberation chamber for over-the-air testing of wireless devices: Coherence bandwidth versus average mode bandwidth and delay spread," IEEE Antennas and Wireless Propagation Letters, Vol. 8, 678-681, 2009.

13. Aminzadeh, Reza, Jérôme Sol, Philippe Besnier, Maxim Zhadobov, Luc Martens, and Wout Joseph, "Estimation of average absorption cross section of a skin phantom in a mm-wave reverberation chamber," 2019 13th European Conference on Antennas and Propagation (EuCAP), 1-3, Krakow, Poland, 2019.

14. Jung, K., T. Kim, J. Kim, H. Doh, Y. Chung, J. Choi, and J. Pack, "Development and validation of reverberation chamber type whole-body exposure system for mobile-phone frequency," Electromagnetic Biology and Medicine, Vol. 27, No. 1, 73-82, 2008.

15. Biagi, Pier Francesco, L. Castellana, Tommaso Maggipinto, G. Maggipinto, Teresa Ligonzo, Luigi Schiavulli, Domenico Loiacono, Anita Ermini, Maria Lasalvia, Giuseppe Perna, and Vito Capozzi, "A reverberation chamber to investigate the possible effects of “in vivo” exposure of rats to 1.8 GHz electromagnetic fields: A preliminary study," Progress In Electromagnetics Research, Vol. 94, 133-152, 2009.

16. Lemoine, Christophe, Emmanuel Amador, and Philippe Besnier, "On the K-factor estimation for Rician channel simulated in reverberation chamber," IEEE Transactions on Antennas and Propagation, Vol. 59, No. 3, 1003-1012, 2011.

17. Sorrentino, A., G. Ferrara, M. Migliaccio, and S. Cappa, "Measurements of backscattering from a dihedral corner in a reverberating chamber," Applied Computational Electromagnetics Society Newsletter, Vol. 33, 91-94, Jan. 2018.

18. Lemoine, Christophe, Emmanuel Amador, Philippe Besnier, Jean-Marie Floc'h, and Alexandre Laisné, "Antenna directivity measurement in reverberation chamber from Rician K-factor estimation," IEEE Transactions on Antennas and Propagation, Vol. 61, No. 10, 5307-5310, Oct. 2013.

19. García-Fernández, Miguel Á., David Carsenat, and Cyril Decroze, "Antenna gain and radiation pattern measurements in reverberation chamber using Doppler effect," IEEE Transactions on Antennas and Propagation, Vol. 62, No. 10, 5389-5394, Oct. 2014.

20. Soltane, Ayoub, Guillaume Andrieu, and Alain Reineix, "Monostatic radar cross-section estimation of canonical targets in reverberating room using time-gating technique," 2018 International Symposium on Electromagnetic Compatibility (EMC EUROPE), 355-359, IEEE, Amsterdam, Netherlands, Aug. 2018.

21. Besnier, Philippe, Jérôme Sol, and Stéphane Méric, "Estimating radar cross-section of canonical targets in reverberation chamber," 2017 International Symposium on Electromagnetic Compatibility - EMC EUROPE, 1-5, Angers, France, 2017.

22. Reis, A., F. Sarrazin, E. Richalot, S. Méric, J. Sol, P. Pouliguen, and P. Besnier, "Radar cross section pattern measurements in a mode-stirred reverberation chamber: Theory and experiments," IEEE Transactions on Antennas and Propagation, Vol. 69, No. 9, 5942-5952, 2021.

23. Charlo, C., P. Besnier, and S. Méric, "Quasi-monostatic radar cross-section measurement in reverberation chamber," 2021 18th European Radar Conference (EuRAD), 94-97, London, United Kingdom, 2022.

24. Hill, D. A., "Plane wave integral representation for fields in reverberation chambers," IEEE Transactions on Electromagnetic Compatibility, Vol. 40, No. 3, 209-217, Aug. 1998.

25. Crispin, J. W. and A. L. Maffett, "Radar cross-section estimation for simple shapes," Proceedings of the IEEE, Vol. 53, No. 8, 833-848, Aug. 1965.

26. Ross, R., "Radar cross section of rectangular flat plates as a function of aspect angle," IEEE Transactions on Antennas and Propagation, Vol. 14, No. 3, 329-335, May 1966.

Mr. Corentin Charlo

Dr. Stéphane Méric

Dr. François Sarrazin

Dr. Elodie Richalot

Dr. Jérome Sol

Dr. Philippe Besnier