Lévy flights constitute a broad class of random walks that occur in manyfields of research, from biology to economy and geophysics. The recentadvent of Lévy glasses allows us to study Lévy flightsand the resultantsuperdiffusionusing light waves. This raises several questions about theinfluence of interference on superdiffusive transport. Superdiffusivestructures have the extraordinary property that all points are connectedvia direct jumps, which is expected to have a strong impact oninterference effects such as weak and strong localization. Here wereport on the experimental observation of weak localization in Lévyglasses and compare our results with a recently developed theory formultiple scattering in superdiffusive media. Experimental results are ingood agreement with theory and allow us to unveil the light propagationinside a finite-size superdiffusive system.

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

2012

03/2012

Phys. Rev. Lett.

108

110604:1-4

backscattering cone, Lévy flight, Lévy glass, superdiffusion