Scientific Results

Weak Localization of Light in Superdiffusive Random Systems

Year: 2012

Authors: Burresi M., Radhalakshmi V., Savo R., Bertolotti J., Vynck K., Wiersma D.

Autors Affiliation: European Laboratory for Non-linear Spectroscopy (LENS), 50019 Sesto Fiorentino (FI), Italy; CNR – Istituto Nazionale di Ottica, Largo Fermi 6, 50125 Firenze (FI), Italy; Dipartimento di Fisica e Astronomia, Universita` di Firenze, 50019 Sesto Fiorentino (FI), Italy; MESA, Institute for Nanotechnology, University of Twente, 7500 AE Enschede, The Netherlands

Abstract: Levy flights constitute a broad class of random walks that occur in many fields of research, from biology to economy and geophysics. The recent advent of Levy glasses allows us to study Levy flights-and the resultant superdiffusion-using light waves. This raises several questions about the influence of interference on superdiffusive transport. Superdiffusive structures have the extraordinary property that all points are connected via direct jumps, which is expected to have a strong impact on interference effects such as weak and strong localization. Here we report on the experimental observation of weak localization in Levy glasses and compare our results with a recently developed theory for multiple scattering in superdiffusive media. Experimental results are in good agreement with theory and allow us to unveil the light propagation inside a finite-size superdiffusive system.


Volume: 108 (11)      Pages from: 110604  to: 110604

More Information: We wish to thank R. Burioni, A. Vezzani, S. Lepri, and R. Livi for fruitful discussions. This work is supported by the European Network of Excellence Nanophotonics for Energy Efficiency, CNR-EFOR, ENI S.p.A. Novara, and the Italian FIRB-MIUR \”Futuro in Ricerca\” Project No. RBFR08UH60.
KeyWords: Experimental observation; Interference effects; Light wave; Random systems; Random Walk; Superdiffusive transport; Weak localization, Economics, Glass
DOI: 10.1103/PhysRevLett.108.110604

Citations: 31
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