Direct Observation of Localized Modes in an Open Disordered Microwave Cavity

• Authors: F. Mortessagne , D. Laurent , O. Legrand , P. Sebbah , Ch. Vanneste
• Languages of publication: EN

Abstracts

EN

We present measurements of the spatial intensity distribution of localized modes in a two-dimensional open microwave cavity randomly filled with cylindrical dielectric scatterers. The robustness of these modes with respect to a modification of the boundaries of the scattering region is successfully established. From a comparison with numerically calculated modes, we can extract precise values of the localization length which are in agreement with the measured spectral widths. These results constitute unambiguous signatures of the existence of strongly localized electromagnetic modes in two-dimensional open random media.

Keywords

EN

42.25.Dd; 72.15.Rn

Discipline

• 42.25.Dd: Wave propagation in random media
• 72.15.Rn: Localization effects (Anderson or weak localization)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2007
• Volume: 112
• Issue: 4
• Pages: 665-672

Dates

published

2007-10

received

2007-05-25

Contributors

author

F. Mortessagne

• Laboratoire de Physique de la Matière Condensée, CNRS UMR 6622, Université de Nice Sophia-Antipolis, 06108 Nice, France

author

D. Laurent

• Laboratoire de Physique de la Matière Condensée, CNRS UMR 6622, Université de Nice Sophia-Antipolis, 06108 Nice, France

author

O. Legrand

• Laboratoire de Physique de la Matière Condensée, CNRS UMR 6622, Université de Nice Sophia-Antipolis, 06108 Nice, France

author

P. Sebbah

• Laboratoire de Physique de la Matière Condensée, CNRS UMR 6622, Université de Nice Sophia-Antipolis, 06108 Nice, France

author

Ch. Vanneste

• Laboratoire de Physique de la Matière Condensée, CNRS UMR 6622, Université de Nice Sophia-Antipolis, 06108 Nice, France

References

• 1. P.W. Anderson, Phys. Rev., 109, 1492, 1958
• 2. E. Abrahams, P.W. Anderson, D.C. Licciardello, T.V. Ramakrishnan, Phys. Rev. Lett., 42, 673, 1979
• 3. P.W. Anderson, Philos. Mag. B, 52, 505, 1985
• 4. S. John, Phys. Rev. Lett., 58, 2486, 1987
• 5. A.Z. Genack, A.A. Chabanov, J. Phys A, Math. Gen., 38, 10465, 2005
• 6. D.S. Wiersma, P. Bartolini, A. Lagendijk, R. Righini, Nature (London), 390, 671, 1997
• 7. F. Scheffold, R. Lenke, R. Tweer, G. Maret, Nature (London), 398, 206, 1999
• 8. M. Storzer, P. Gross, Ch.M. Aegerter, G. Maret, Phys. Rev. Lett., 96, 063904, 2006
• 9. R.L. Weaver, Wave Motion, 12, 129, 1990; Phys. Rev. B, 47, 1077, 1993
• 10. A.A. Chabanov, M. Stoychev, A.Z. Genack, Nature (London), 404, 850, 2000
• 11. U. Kuhl, H.J. Stockmann, Physica E, 9, 384, 2001; P. Sebbah, B. Hu, J.M. Klosner, A.Z. Genack, Phys. Rev. Lett., 96, 183902, 2006; K.Yu. Bliokh, Yu.P. Bliokh, V. Freilikher, A.Z. Genack, B. Hu, P. Selbah, Phys. Rev. Lett., 97, 243904, 2006
• 12. R. Dalichaouch, J.P. Armstrong, S. Schultz, P.M. Platzman, S.L. McCall, Nature (London), 354, 53, 1991}; A. Kudrolli, V. Kidambi, S. Sridhar, Phys. Rev. Lett., 75, 822, 1995}; P. Pradhan, S. Sridhar, Phys. Rev. Lett., 85, 2360, 2000}; H.-J. Stockmann, M. Barth, U. Dorr, U. Kuhl, H. Schanze, Physica E, 9, 571, 2001
• 13. J. Barthélemy, O. Legrand, F. Mortessagne, Phys. Rev. E, 71, 016205, 2005
• 14. M.M. Sigalas, C.M. Soukoulis, C.-T. Chan, D. Turner, Phys. Rev. B, 53, 8340, 1996
• 15. A. Derode, A. Tourin, M. Fink, Phys. Rev. E, 64, 036605, 2001
• 16. H.C. Van de Hulst, Light Scattering by Small Particles, Dover Publications, New York 1981
• 17. B.C. Gupta, Z. Ye, Phys. Rev. E, 67, 036606, 2003
• 18. J.S. Hersch, E.J. Heller, Phys. Rev. Lett., 81, 3059, 1998
• 19. P. Sebbah, C. Vanneste, Phys. Rev. B, 66, 144202, 2002
• 20. J. Barthélemy, Ph.D. Thesis, Université Paris 7 - Denis Diderot, Paris 2003 (URL tel.ccsd.cnrs.fr/documents/archives0/00/00/41/14/)
• 21. A. Gokirmak, D.-H. Wu, J.S.A. Bridgewater, S.M. Anlage, Rev. Sci. Instrum., 69, 3410, 1998
• 22. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Norwood, MA 1995; the numerical code we use is directly inspired from the one developed by C. Vanneste in Ref. [19]
• 23. J.P. Berenger, J. Comput. Phys., 114, 185, 1995
• 24. F.A. Pinheiro, M. Rusek, A. Orlowsky, B.A. van Tiggelen, Phys. Rev. E, 69, 026605, 2004

Identifiers

DOI

10.12693/APhysPolA.112.665