2013-11-21
Field Measurements Within a Large Resonant Cavity Based on the Perturbation Theory
By
Progress In Electromagnetics Research B, Vol. 57, 1-20, 2014
Abstract
Due to the sensitivity of the field distribution within a resonant cavity to the presence of an object, conventional measurement techniques employing a probe suffer from a limited accuracy. Therefore we propose a new measurement technique of the electric field distribution that avoids the use of a probe. Based on the perturbation theory, it consists of a measure of the cavity resonant frequency variation while displacing a small perturbing object within the cavity. The choice of the perturbing object shape, dimension and material is discussed with the help of simulation and measurement results in a canonical case. The case of reverberation chamber equipped with a mode stirrer is also considered, as well as the insertion of a metallic box within the cavity. Our measurement setup is very low-cost, simple to set up and to use, and adapted to any cavity geometry.
Citation
Mohamed Nasserdine, Stephanie Mengue, Christophe Bourcier, and Elodie Richalot, "Field Measurements Within a Large Resonant Cavity Based on the Perturbation Theory," Progress In Electromagnetics Research B, Vol. 57, 1-20, 2014.
doi:10.2528/PIERB13100101
References

1. Kildal, P.-S., K. Rosengren, J. Byun, and J. Lee, "Definition of effective diversity gain and how to measure it in a reverberation chamber," Microwave and Optical Technology Letters, Vol. 34, No. 1, 56-59, Jul. 2002.
doi:10.1002/mop.10372        Google Scholar

2. Hatfield, M. O., M. B. Slocum, E. A. Godfrey, and G. J. Freyer, "Investigations to extend the lower frequency limit of reverberation chamber," Proc. IEEE Int. Symp. Electromagn. Compat, Vol. 1, 20-23, 1998.        Google Scholar

3. Hill, D. A., "Plane wave integral representation for fields in reverberation chambers," IEEE Trans. Electromagn. Compat., Vol. 40, No. 3, 209-217, Aug. 1998.
doi:10.1109/15.709418        Google Scholar

4. Arnaut, L. R., "Effect of local stir and spatial averaging on measurement and testing in mode tuned and mode-stirred reverberation chambers," IEEE Trans. Electromagn. Compat., Vol. 43, No. 3, 305-325, Aug. 2001.
doi:10.1109/15.942603        Google Scholar

4. Hill, D. A., Effect of local stir and spatial averaging on measurement and testing in mode tuned and mode-stirred reverberation chambers , Vol. 43, No. 3, 305-325, IEEE Trans. Electromagn. Compat. , Aug. 2001.

5. Hill, D. A., Electromagnetic Fields in Cavity Deterministic and Statistical Theories, John Wiley&Sons, 2009.
doi:10.1002/9780470495056

6. Richmond, J. H. and T. E. Tice, "Probes for microwave near-field measurements," IRE Trans. Microwave Theory and Techniques, 32-34, Apr. 1955.        Google Scholar

7. Justice, R. and V. H. Rumsey, "Measurement of electric field distributions," IRE Trans. Antennas and Propagation, 177-180, Oct. 1955.
doi:10.1109/TAP.1955.1144315        Google Scholar

8. Memarzadeh-Tehran, H., J. J. Laurin, and R. Kashyap, "Optically modulated probe for precision near-field measurements," IEEE Trans. Instrumentation and Measurement , Vol. 59, No. 10, 2755-2762, Oct. 2010.
doi:10.1109/TIM.2010.2045552        Google Scholar

9. Abou-Khousa, M. A., M. T. Ghasr, S. Kharkovsky, D. Pommerenke, and R. Zoughi, "Modulated elliptical slot antenna for electric field mapping and microwave imaging," IEEE Trans. Antennas and Propagation, Vol. 59, No. 3, 733-741, Mar. 2011.
doi:10.1109/TAP.2010.2103024        Google Scholar

10. Rosengren, K., P. S. Kildal, C. Carlson, and J. Carlsson, "Characterization of antennas for mobile and wireless terminals by using reverberation chambers: Improved accuracy by platform stirring," Microw. Opt. Technol. Lett., Vol. 30, No. 20, 391-397, Sep. 2001.
doi:10.1002/mop.1324        Google Scholar

11. Waldron, R. A., "Perturbation theory of resonant cavities," Monograph No. 373 E, The Institution of Electrical Engineers, Apr. 1960.        Google Scholar

12. Champlin, K. S. and R. R. Krongard, "The measurement of conductivity and permittivity of semiconductor spheres by an extension of the cavity perturbation method," IRE Trans. Microwave Theory and Techniques, 545-551, Nov. 1961.
doi:10.1109/TMTT.1961.1125387        Google Scholar

13. Van Bladel, J., Electromagnetic Fields, 2nd Ed., 251, John Wiley&Sons, Inc., 2007.
doi:10.1002/047012458X

14. Joseph, R. I., "Ballistic demagnetizing factor in uniformly magnetized cylinders," Journal of Applied Physics, Vol. 37, No. 13, 4639-4643, Dec. 1966.
doi:10.1063/1.1708110        Google Scholar

15. Chen, D.-X., J. A. Brug, and R. B. Goldfarb, "Demagnetizing factors for cylinders," IEEE Tran. Magnetics, Vol. 27, No. 4, 3601-3619, Jul. 1991.
doi:10.1109/20.102932        Google Scholar

16. Kobayashi, M. and Y. Ishikawa, "Surface magnetic charge distributions and demagnetizing factors of circular cylinders," IEEE Trans. Magnetics, Vol. 28, No. 3, 1810-1814, May 1992.
doi:10.1109/20.141290        Google Scholar

17. Ao, C. O., K. O'Neill, and J. A. Kong, "Magnetoquasistatic response of conducting and permeable prolate spheroid under axial excitation," IEEE Trans. Geoscience and Remote Sensing, Vol. 39, No. 12, 2689-2701, Dec. 2001.
doi:10.1109/36.975003        Google Scholar

18. Jackson, J. D., Classical Electrodynamics, 3rd Ed., John Wiley&Sons, 1999.

19. Slater, J. C., "Microwave Electronics," Rev. Mod. Phys., Vol. 18, No. 4, 441-512, Oct. 1946.
doi:10.1103/RevModPhys.18.441        Google Scholar

20. Spencer, E. G., R. C. LeGraw, and amd F. Reggia, "Measurement of microwave dielectric constants and tensor permeabilities of ferrite spheres," Proc. of the IRE, 790-800, Jun. 1956.
doi:10.1109/JRPROC.1956.274996        Google Scholar

21. Maier, L. C. and J. C Slater, "Field strength measurements in resonant cavities," Journal of Applied Physics, Vol. 23, No. 1, 68-77, Jan. 1952.
doi:10.1063/1.1701980        Google Scholar

22. Scaglia, C., "Field-strength measurements by perturbation theory," Electronic Letters, Vol. 1, No. 7, 200-201, Sep. 1945.
doi:10.1049/el:19650184        Google Scholar

23. Laurent, D., O. Legrand, P. Sebbah, C. Vanneste, and F. Mortessagne, "Localized modes in a finite-size open disordered microwave cavity," Physical Review Letters, Vol. 99, 253902, 2007.
doi:10.1103/PhysRevLett.99.253902        Google Scholar

24. Kuhl, U., E. Persson, M. Barth, and H.-J. Stockmann, "Mixing of wavefunctions in rectangular billards," European Physical Journal B, Vol. 17, 253-259, 2000.        Google Scholar

25. Dorr, U., H. J. Stockmann, M. Barth, and U. Kuhl, "Scarred and chaotic field distributions in a three-dimensional Sinai-microwave resonator," Phys. Rev. Lett., Vol. 80, No. 5, 1030-1033, Feb. 1998.
doi:10.1103/PhysRevLett.80.1030        Google Scholar

26. Som, S., S. Seth, A. Mandal, and S. Ghosh, "Bead-pull measurement using phase-shift technique in multi-cell elliptical cavity," Proceedings of IPAC2011, 280-282, Sep. 2011.        Google Scholar

27. Orjubin, G. and M. F. Wong, "Experimental determination of the higher electric field level inside an overmoded reverberation chamber using the generalized extreme value distribution," Ann. Telecomm., Vol. 66, No. 7--8, 457-464, 2011.
doi:10.1007/s12243-011-0259-6        Google Scholar

28. Orjubin, G., E. Richalot, S. Mengue, M. F. Wong, and O. Picon, "On the FEM modal approach for a reverberation chamber analysis," IEEE Trans. Electromagn. Compat., Vol. 49, No. 1, 76-85, Feb. 2007.
doi:10.1109/TEMC.2006.888187        Google Scholar

29. Hill, D. A., M. T. Ma, A. R. Ondrejka, B. F. Riddle, M. L. Crawford, and R. T. Johnk, "Aperture excitation of electrically large, lossy cavities," IEEE Trans. Electromagn. Compat., Vol. 36, No. 3, 169-178, Aug. 1994.
doi:10.1109/15.305461        Google Scholar

30. Kuhl, U., R. Hohmann, J. Main, and H.-J. Stockmann, "Resonance widths in open microwave cavities studied by harmonic inversion," Phys. Rev. Lett., Vol. 100, No. 25, 254101, Jun. 2008.
doi:10.1103/PhysRevLett.100.254101        Google Scholar