Chaoticity of a reverberation chamber assessed from the analysis of modal distributions obtained by FEM

IEEE Transactions on Electromagnetic Compatibility

Volumn 49, Issue 4, 2007, Pages 762-771

  Orjubin, Gérand ^a   Richalot, Elodie ^b   Picon, Odile ^b   Legrand, Olivier ^c  

^a FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

^b National Centre of Scientific Research   (France)

^c UNIVERSITÉ CÔTE D'AZUR   (France)

Author keywords

Chaos theory; Eigenvalue perturbation; Eigenvalues and eigenfunctions; Finite element analysis; Finite element method (FEM); Quantum chaos; Reverberation chamber (RC)

Indexed keywords

CHAOTIC SYSTEMS; COMPUTATIONAL GEOMETRY; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; GAUSSIAN DISTRIBUTION; MATHEMATICAL MODELS; REVERBERATION;

CHAOTICITY; EIGENFREQUENCY SPACING DISTRIBUTION; EIGENMODE DISTRIBUTIONS; REVERBERATION CHAMBER;

ANECHOIC CHAMBERS;

EID: 36749016704     PISSN: 00189375     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEMC.2007.908266     Document Type: Article

References (25)

1. D. A. Hill, "Plane wave integral representation for fields in reverberation chambers," IEEE Trans. Electromagn. Compat., vol. 40, no. 3, pp. 209-217, Aug. 1998.
2. L. Cappetta, M. Feo, V. Fiumara, V. Pierro, and I. Pinto, "Electromagnetic chaos in mode-stirred reverberation enclosures," IEEE Trans. Electromagn. Compat., vol. 40, no. 3, pp. 185-192, Aug. 1998.
3. H. J. Stöckmann and J. Stein, "Quantum chaos in billiards studied by microwave absorption," Phys. Rev. Lett., vol. 64, no. 19, pp. 2215-2218, May 1990.
4. S. Sridhar, "Experimental observation of scarred eigenfunctions of chaotic microwaves cavities," Phys. Rev. Lett., vol. 67, no. 7, pp. 785-788, Aug. 1991.
5. F. Haake, G. Lenz, P. Šeba, J. Stein, H.-J. Stöckmann, and K. Zyczkowski, "Manifestation of wave chaos in pseudointegrable microwave resonators," Phys. Rev. A, vol. 44, no. 10, pp. 6161-6163, Nov. 1991.
6. S. Deus, P. M. Koch, and L. Sirko, "Statistical properties of the eigenfrequency distribution of the three-dimensional microwave cavities," Phys. Rev. E, vol. 52, no. 1, pp. 1146-1155, Jul. 1995.
7. U. Dörr, H. J. Stöckmann, M. Barth, and U. Kuhl, "Scarred and chaotic field distributions in a three-dimensional Sinai-microwave resonator," Phys. Rev. Lett., vol. 80, no. 5, pp. 1030-1033, Feb. 1998.
8. C. F. Bunting, K. J. Moeller, C. J. Reddy, and S. A. Scearce, "A two-dimensional finite-element analysis of reverberation chambers," IEEE Trans. Electromagn. Compat., vol. 41, no. 4, pp. 280-289, Nov. 1999.
9. G. Orjubin, E. Richalot, S. Mengué, M.-F. Wong, and O. Picon, "On the FEM modal approach for a reverberation chamber analysis," IEEE Trans. Electromagn. Compat., vol. 49, no. 1, pp. 76-85, Feb. 2007.
10. H.-J. Stöckmann, Quantum Chaos. An Introduction. Cambridge, U.K.: Cambridge Univ. Press, 1999.
11. G. Orjubin, E. Richalot, S. Mengué, and O. Picon, "Mode perturbation induced by the stirrer rotation in a reverberating chamber," in Proc. EMC Zurich 2005, Zurich, Switzerland, Feb., pp. 39-42.
12. J. Barthélemy, O. Legrand, and F. Mortessagne, "Complete S matrix in a microwave cavity at room temperature," Phys. Rev. E, vol. 71, pp. 016205-1-016205-11, 2005.
13. V. Galdi, I. M. Pinto, and L. B. Felsen, "Wave propagation in ray-chaotic enclosures: Paradigms, oddities and examples," IEEE Antennas Propag. Mag., vol. 47, no. 1, pp. 62-81, Feb. 2005.
14. M. V. Berry, "Regular and irregular semiclassical wavefunctions," J. Phys. A, vol. 10, no. 12, pp. 2083-2091, 1977.
15. A. Kudrolli and S. Sridhar, Comment on, "Gaussian orthogonal ensemble statistics in a microwave stadium billiard with chaotic dynamics: Porter Thomas distribution and algebraic decay of time correlations," Phys. Rev. Lett., vol. 76, no. 16, p. 3036, Apr. 1996.
16. L. R. Arnaut and P. D. West, "Evaluation of the NPL untuned stadium reverberation chamber using mechanical and electronic stirring techniques," Nat. Phys. Lab., Teddington, Middlesex, NPL Rep. CEM 11, Aug. 1998.
17. R. Balian and C. Bloch, "Distribution of eigenfrequencies for the wave equation in a finite domain. II. Electromagnetic field. Riemannian spaces," Ann. Phys., vol. 64, pp. 271-307, 1971.
18. L. R. Arnaut, "Operation of electromagnetic reverberation chambers with wave diffractors at relatively low frequencies," IEEE Trans. Electromagn. Compat., vol. 43, no. 4, pp. 637-653, Nov. 2001.
19. M. V. Berry, "Semiclassical theory of spectral rigidity," in Proc. R. Soc. Lond. A, 1985, vol. 400, pp. 229-251.
20. L. K. Warne, K. S. H. Lee, H. G. Hudson, W. A. Johnson, R. E. Jorgenson, and S. L. Stronach, "Statistical properties of a linear antenna impedance in an electrically large cavity," IEEE Trans. Antennas Propag., vol. 51, no. 5, pp. 978-992, May 2003.
21. H. P. Baltes, "Asymptotic eigenvalue distribution for the wave equation in a cylinder of arbitrary cross section," Phys. Rev. A, vol. 6, no. 6, pp. 2252-2257, 1972.
22. B. H. Liu, D. C. Chang, and M. T. Ma, "Eigenmodes and the composite quality factor of a reverberating chamber," Nat. Bur. Stand., Boulder, CO, Tech. Note 1066, 1983.
23. D. Laurent, O. Legrand, and F. Mortessagne, "Diffractive orbits in the length spectrum of a two-dimensional microwave cavity with a small scatterer," Phys. Rev. E, vol. 74, no. 4, pp. 046219-1-046219-7, 2006.
24. C. Bruns and R. Vahldieck, "A closer look at reverberation chambers - 3-D simulation and experimental verification," IEEE Trans. Electromagn. Compat., vol. 47, no. 3, pp. 612-626, Aug. 2005.
25. D. I. Wu and D. C. Chang, "The effect of an electrically large stirrer in a mode-stirred chamber," IEEE Trans. Electromagn. Compat., vol. 31, no. 2, pp. 164-169, May 1989.