Observation of the critical regime near Anderson localization of light.

The transition from diffusive transport to localization of waves should occur for any type of classical or quantum wave in any media as long as the wavelength becomes comparable to the transport mean free path l*. The signatures of localization and those of absorption, or bound states, can, however, be similar, such that an unequivocal proof of the existence of wave localization in disordered bulk materials is still lacking. Here we present time resolved measurements of light transport through strongly scattering samples with kl* values as low as 2.5. In transmission, we observe deviations from diffusion which cannot be explained by absorption, sample geometry, or reduction in transport velocity. Furthermore, the deviations from classical diffusion increase strongly with decreasing l* as expected for a phase transition. This constitutes an experimental realization of the critical regime in the approach to Anderson localization.

[1]  M. Stoytchev,et al.  Statistical signatures of photon localization , 2000, Nature.

[2]  Transport properties of random media: An energy-density CPA approach. , 1996, Physical review. B, Condensed matter.

[3]  Roberto Righini,et al.  Localization of light in a disordered medium , 1997, Nature.

[4]  A Z Genack,et al.  Photon localization in resonant media. , 2001, Physical review letters.

[5]  Watson,et al.  Searching for photon localization in the time domain. , 1987, Physical review letters.

[6]  P. Anderson.  Absence of Diffusion in Certain Random Lattices , 1958 .

[7]  A. Einstein.  Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen [AdP 17, 549 (1905)] , 2005, Annalen der Physik.

[8]  Impact of weak localization in the time domain. , 2003, Physical review letters.

[9]  Ad Lagendijk,et al.  Light scattering near the localization transition in macroporous GaP networks , 1999 .

[10]  C. A. Murray,et al.  Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions , 1979 .

[11]  John,et al.  Strong localization of photons in certain disordered dielectric superlattices. , 1987, Physical review letters.

[12]  Drake,et al.  Observation of nonclassical optical diffusion. , 1989, Physical review letters.

[13]  B. V. van Tiggelen,et al.  Dynamics of Anderson localization in open 3D media. , 2005, Physical review letters.

[14]  G. Maret,et al.  A precise method to determine the angular distribution of backscattered light to high angles. , 2007, The Review of scientific instruments.

[15]  Philip W. Anderson,et al.  The question of classical localization A theory of white paint , 1985 .

[16]  Wolf,et al.  Coherent backscattering of light by disordered media: Analysis of the peak line shape. , 1986, Physical review letters.

[17]  A. Lagendijk,et al.  Observation of weak localization of light in a random medium. , 1985, Physical review letters.

[18]  A. Einstein.  On the movement of small particles suspended in a stationary liquid demanded by the molecular-kinetic theory of heart , 1905 .

[19]  Ralf Lenke,et al.  Multiple Scattering of Light : Coherent Backscattering and Transmission , 2000 .

[20]  G. Maret,et al.  Localization or classical diffusion of light? , 1999, Nature.

[21]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[22]  B. V. van Tiggelen,et al.  Dynamics of weakly localized waves. , 2003, Physical review letters.

[23]  Propagation of waves through a slab near the Anderson transition: a local scaling approach , 1990 .

[24]  A. Lagendijk,et al.  Speed of propagation of classical waves in strongly scattering media. , 1991, Physical review letters.

[25]  D. Weitz,et al.  Internal reflection of diffusive light in random media. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[26]  Wolf,et al.  Weak localization and coherent backscattering of photons in disordered media. , 1985, Physical review letters.

[27]  Lagendijk,et al.  Midinfrared scattering and absorption in Ge powder close to the anderson localization transition , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[28]  D. Wiersma,et al.  Reflection and transmission of waves near the localization threshold , 2000, Physical review letters.

[29]  R. A. Webb,et al.  Mesoscopic phenomena in solids , 1991 .

[30]  Ad Lagendijk,et al.  Time-resolved pulse propagation in a strongly scattering material. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  Jozef Baruník.  Diploma thesis , 1999 .

[32]  A. Lagendijk,et al.  Static and dynamic transport of light close to the Anderson localization transition. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  D. Wiersma,et al.  Reply: Localization or classical diffusion of light? , 1999, Nature.