Scientific Results

Walk dimension for light in complex disordered media

Year: 2014

Authors: Savo R., Burresi M., Svensson T., Vynck K., Wiersma DS.

Autors Affiliation: European Laboratory for Non-linear Spectroscopy (LENS), I-50019 Sesto Fiorentino (FI), Italy;
Università di Firenze, Dipartimento di Fisica e Astronomia, I-50019 Sesto Fiorentino (FI), Italy;
Istituto Nazionale di Ottica (CNR-INO), Largo Fermi 6, I-50125 Firenze (FI), Italy:
Institut Langevin, ESPCI ParisTech, CNRS, 1 rue Jussieu, F-75238 Paris Cedex 05, France

Abstract: Transport in complex systems is characterized by a fractal dimension-the walk dimension-that indicates the diffusive or anomalous nature of the underlying random walk process. Here we report on the experimental retrieval of this key quantity, using light waves propagating in disordered media. The approach is based on measurements of the time-resolved transmission, in particular on how the lifetime scales with sample size. We show that this allows one to retrieve the walk dimension and apply the concept to samples with varying degree of fractal heterogeneity. In addition, the method provides the first experimental demonstration of anomalous light dynamics in a random medium.

Journal/Review: PHYSICAL REVIEW A

Volume: 90 (2)      Pages from: 023839  to: 023839

More Information: We wish to acknowledge Raffaella Burioni, Alessandro Vezzani, Enrico Ubaldi, Sepideh Zakeri, Marco Grisi, and the entire Optics of Complex Systems group at LENS for fruitful discussions, Thomas Huisman and Lorenzo Pattelli for their help with sample preparation, and financial support from the European Research Council (FP7/2007-2013), ERC Grant No. 291349. T.S. acknowledges funding from The Swedish Research Council (Grant No. 2010-887), and K.V. from LABEX WIFI under references ANR-10-LABX-24 and ANR-10-IDEX-0001-02 PSL.
KeyWords: Mathematical models; Physics, Disordered media; Experimental demonstrations; Light wave; Measurements of; Random medium; Random walk process; Sample sizes; Time-resolved transmission, Fractal dimension
DOI: 10.1103/PhysRevA.90.023839

Citations: 9
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