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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 10 — Oct. 1, 2007
  • pp: A23–A27

Observation of Anderson localization of light in three dimensions

Christof M. Aegerter, Martin Störzer, Susanne Fiebig, Wolfgang Bührer, and Georg Maret  »View Author Affiliations


JOSA A, Vol. 24, Issue 10, pp. A23-A27 (2007)
http://dx.doi.org/10.1364/JOSAA.24.000A23


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Abstract

Using time-resolved transmission measurements, we have found indications of Anderson localization of light in bulk three-dimensional systems. The observed deviation from classical diffusion is in good accord with theoretical predictions of localization and cannot be explained by absorption or experimental artifacts such as stratification, fluorescence, or background illumination. Moreover, we show that in our samples the control parameter is given by the mean free path times the wavenumber as required by the Ioffe–Regel criterion. This is in contrast to quasi-one-dimensional systems that were studied with microwaves. There, the control parameter is related to the number of modes inside a waveguide, and deviations from classical diffusion are possible due to a small number of modes.

© 2007 Optical Society of America

OCIS Codes
(260.3160) Physical optics : Interference
(290.1990) Scattering : Diffusion
(350.5500) Other areas of optics : Propagation

History
Original Manuscript: October 6, 2006
Revised Manuscript: April 4, 2007
Manuscript Accepted: April 16, 2007
Published: August 8, 2007

Virtual Issues
Photonic Metamaterials (2007) JOSA A

Citation
Christof M. Aegerter, Martin Störzer, Susanne Fiebig, Wolfgang Bührer, and Georg Maret, "Observation of Anderson localization of light in three dimensions," J. Opt. Soc. Am. A 24, A23-A27 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-10-A23


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References

  1. P. W. Anderson, "Absence of diffusion in certain random lattices," Phys. Rev. 109, 1492-1505 (1958). [CrossRef]
  2. P. W. Anderson, "The question of classical localization: a theory of white paint?" Philos. Mag. B 52, 505-509 (1985). [CrossRef]
  3. S. John, "Electromagnetic absorption in a disordered medium near a photon mobility edge," Phys. Rev. Lett. 53, 2169-2172 (1984). [CrossRef]
  4. D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, "Localization of light in a disordered medium," Nature (London) 390, 671-673 (1997). [CrossRef]
  5. J. M. Drake and A. Z. Genack, "Observation of nonclassical optical diffusion," Phys. Rev. Lett. 63, 259-262 (1989). [CrossRef] [PubMed]
  6. F. Scheffold, R. Lenke, R. Tweer, and G. Maret, "Localization or classical diffusion of light?" Nature (London) 398, 206-207 (1999). [CrossRef]
  7. D. S. Wiersma, J. Gómez Rivas, P. Bartolini, A. Lagendijk, and R. Righini, reply to F. Scheffold, R. Lenke, R. Tweer, and G. Maret, "Localization or classical diffusion of light?" Nature (London) 398, 207 (1999). [CrossRef]
  8. A. A. Chabanov, M. Stoytchev, and A. Z. Genack, "Statistical signatures of photon localization," Nature (London) 404, 850-853 (2000). [CrossRef]
  9. M. P. van Albada, B. A. van Tiggelen, A. Lagendijk, and A. Tip, "Speed of propagation of classical waves in strongly scattering media," Phys. Rev. Lett. 66, 3132-3135 (1991). [CrossRef] [PubMed]
  10. G. H. Watson, P. A. Fleury, and S. L. McCall, "Searching for photon localization in the time domain," Phys. Rev. Lett. 58, 945-948 (1987). [CrossRef] [PubMed]
  11. P. M. Johnson, A. Imhof, B. P. J. Bret, J. G. Rivas, and A. Lagendijk, "Time resolved pulse propagation in a strongly scattering material," Phys. Rev. E 68, 016604 (1-9) (2003). [CrossRef]
  12. A. A. Chabanov, Z. Q. Zhang, and A. Z. Genack, "Breakdown of diffusion in dynamics of extended waves in mesoscopic media," Phys. Rev. Lett. 90, 203903 (1-4) (2003). [CrossRef] [PubMed]
  13. P. Sebbah, B. Hu, J. M. Klosner, and A. Z. Genack, "Extended quasimodes within nominally localized random waveguides," Phys. Rev. Lett. 96, 183902 (1-4) (2006). [CrossRef] [PubMed]
  14. S. K. Cheung, X. Zhang, Z. Q. Zhang, A. A. Chabanov, and A. Z. Genack, "Impact of weak localization in the time domain," Phys. Rev. Lett. 92, 173902 (1-4) (2004). [CrossRef] [PubMed]
  15. S. E. Skipetrov and B. A. van Tiggelen, "Dynamics of weakly localized waves," Phys. Rev. Lett. 92, 113901 (1-4) (2004). [CrossRef] [PubMed]
  16. A. F. Ioffe and A. R. Regel, "Non-crystalline, amorphous and liquid electronic semiconductors," Prog. Semicond. 4, 237-291 (1960).
  17. M. Störzer, P. Gross, C. M. Aegerter, and G. Maret, "Observation of the critical regime near Anderson localization of light," Phys. Rev. Lett. 96, 063904 (1-4) (2006). [CrossRef] [PubMed]
  18. F. Scheffold, W. Härtl, G. Maret, and E. Matijevic, "Observation of long-range correlations in temporal intensity fluctuations of light," Phys. Rev. B 56, 10942-10952 (1997). [CrossRef]
  19. F. Scheffold and G. Maret, "Universal conductance fluctuations of light," Phys. Rev. Lett. 81, 5800-5803 (1998). [CrossRef]
  20. S. E. Skipetrov and B. A. van Tiggelen, "Dynamics of Anderson localization in open 3D media," Phys. Rev. Lett. 96, 043902 (1-4) (2006). [CrossRef] [PubMed]
  21. S. E. Skipetrov, sergey.skipetrov@grenoble.cnrs.fr (personal communication, December 2005).
  22. R. Berkovitz and M. Kaveh, "Propagation of waves through a slab near the Anderson transition: a local scaling approach," J. Chem. Soc. Dalton Trans. 2, 307-321 (1990).
  23. R. Berkovitz and M. Kaveh, "Backscattering of light near the optical Anderson transition," Phys. Rev. B 36, 9322-9325 (1987). [CrossRef]
  24. C. M. Aegerter, M. Störzer, and G. Maret, "Experimental determination of critical exponents in Anderson localization of light," Europhys. Lett. 75, 562-568 (2006). [CrossRef]
  25. P. E Wolf and G. Maret, "Weak localization and coherent backscattering of photons in disordered media," Phys. Rev. Lett. 55, 2696-2699 (1985). [CrossRef]
  26. M. P. van Albada and A. Lagendijk, "Observation of weak localization of light in a random medium," Phys. Rev. Lett. 55, 2692-2695 (1985). [CrossRef] [PubMed]
  27. E. Akkermans, P. E. Wolf, and R. Maynard, "Coherent backscattering of light by disordered media: analysis of the peak line shape," Phys. Rev. Lett. 56, 1471-1474 (1986). [CrossRef] [PubMed]
  28. J. C. M. Garnett, "Colours in metal glasses and in metallic films," Philos. Trans. R. Soc. London, Ser. A 203, 385-420 (1904). [CrossRef]
  29. J. X. Zhu, D. J. Pine, and D. A. Weitz, "Internal reflection of diffusive light in random media," Phys. Rev. A 44, 3948-3959 (1991). [CrossRef] [PubMed]
  30. K. Busch and C. M. Soukoulis, "Transport properties of random media: an energy-density CPA approach," Phys. Rev. B 54, 893-899 (1996). [CrossRef]
  31. P. Gross, "Coherent backscattering close to the transition to strong localization of light," Diploma Thesis, University of Konstanz (2005).
  32. P. Gross, M. Störzer, S. Fiebig, M. Clausen, G. Maret, and C. M. Aegerter, "A precise method to determine the angular distribution of backscattered light to high angles," Rev. Sci. Instrum. 78, 033105 (1-6) (2007). [CrossRef] [PubMed]
  33. M. Störzer, C. M. Aegerter, and G. Maret, "Reduced transport velocity of multiply scattered light due to resonant scattering," Phys. Rev. E 73, 065602(R)1-4 (2006). [CrossRef]
  34. D. S. Wiersma, "Light in strongly scattering and amplifying random media," Ph.D thesis (University of Amsterdam, 1995).
  35. R. Lenke, R. Tweer, and G. Maret, "Coherent backscattering and localization in a self-attracting random walk model," Eur. Phys. J. B 26, 235-240 (2002). [CrossRef]
  36. E. Abrahams, P. W. Anderson, D. Licciardello, and T. V. Ramakrishnan, "Scaling theory of localization: absence of quantum diffusion in two dimensions," Phys. Rev. Lett. 42, 673-676 (1979). [CrossRef]

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