title: Recurrent scattering and memory effect at the Anderson localization transition.
abstract: We report on ultrasonic measurements of the propagation operator in a strongly scattering mesoglass. The backscattered field is shown to display a deterministic spatial coherence due to a remarkably large memory effect induced by long recurrent trajectories. Investigation of the recurrent scattering contribution directly yields the probability for a wave to come back close to its starting spot. The decay of this quantity with time is shown to change dramatically near the Anderson localization transition. The singular value decomposition of the propagation operator reveals the dominance of very intense recurrent scattering paths near the mobility edge.
authors.affiliation: Institut Langevin, ESPCI ParisTech, CNRS UMR 7587, Université Denis Diderot-Paris 7, 1 rue Jussieu, 75005 Paris, France.
authors.forename: A
authors.initials: A
authors.lastname: Aubry
authors.affiliation: Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada.
authors.forename: L A
authors.initials: LA
authors.lastname: Cobus
authors.affiliation: Université Grenoble 1/CNRS, Laboratoire de Physique et Modélisation des Milieux Condensés UMR 5493, B.P. 166, 38042 Grenoble, France.
authors.forename: S E
authors.initials: SE
authors.lastname: Skipetrov
authors.affiliation: Université Grenoble 1/CNRS, Laboratoire de Physique et Modélisation des Milieux Condensés UMR 5493, B.P. 166, 38042 Grenoble, France.
authors.forename: B A
authors.initials: BA
authors.lastname: van Tiggelen
authors.affiliation: Institut Langevin, ESPCI ParisTech, CNRS UMR 7587, Université Denis Diderot-Paris 7, 1 rue Jussieu, 75005 Paris, France.
authors.forename: A
authors.initials: A
authors.lastname: Derode
authors.affiliation: Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada.
authors.forename: J H
authors.initials: JH
authors.lastname: Page