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We rigorously analyse the correspondence between the one-dimensional standard Anderson model and a related classical system, the `kicked oscillator' with noisy frequency. We show that the Anderson localization corresponds to a parametric…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Tessieri , F. M. Izrailev

Contrary to the theoretical predictions that all waves in two-dimensional disordered materials are localized, Anderson localization is observed only for sufficiently high frequencies in an isotropically jammed two-dimensional disordered…

Soft Condensed Matter · Physics 2021-03-10 Ling Zhang , Yinqiao Wang , Jie Zheng , Aile Sun , Xulai Sun , Yujie Wang , Walter Schirmacher , Jie Zhang

In this paper, we propose a disordered heterostructure in which the distribution of refractive index of one of its constituents follows a L\'evy-type distribution characterized by the exponent $\alpha$. For the normal and oblique…

Statistical Mechanics · Physics 2015-09-30 A. Ghasempour Ardakani , M. Ghasemi Nezhadhaghighi

We study Anderson localization of waves in a one dimensional disordered meta-material of bilayers comprising of thin fixed length scatterers placed randomly along a homogenous medium. As an interplay between order and disorder, we identify…

Disordered Systems and Neural Networks · Physics 2018-07-11 Nitin Upadhyaya , Ariel Amir

We demonstrate experimentally that structural perturbations imposed on highly-dispersive photonic crystal-based waveguides give rise to spectral features that bear signatures of Anderson localization. Sharp resonances with the effective Qs…

Optics · Physics 2009-11-13 Juraj Topolancik , Rob Ilic , Frank Vollmer

We investigate Anderson localization of light as occurring in ultra-short excitations. A theory based on time dependent coupled-mode equations predicts universal features in the spectrum of the transmitted pulse. In particular, the process…

Optics · Physics 2010-03-15 Claudio Conti , Andrea Fratalocchi , Silvia Gentilini

Light localization and intensity enhancement in a woodpile layer-by-layer photonic crystal, whose interlayer distance along the propagation direction is gradually varied, has been theoretically predicted and experimentally demonstrated. The…

Optics · Physics 2017-07-17 Zeki Hayran , Hamza Kurt , Kestutis Staliunas

This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the…

Disordered Systems and Neural Networks · Physics 2012-05-15 F. M. Izrailev , A. A. Krokhin , N. M. Makarov

We investigate light transport in three-dimensional disordered media composed of irregular dielectric particles using large scale full-wave simulations. For subwavelength particles with size parameter $kr \approx 1$ and high refractive…

Optics · Physics 2026-04-29 Yevgen Grynko , Dustin Siebert , Jan Sperling , Jens Förstner

When light waves propagate through disordered photonic lattices, they can eventually become localized due to multiple scattering effects. Here we show experimentally that while the evolution and localization of the photon density…

Disordered Systems and Neural Networks · Physics 2015-05-27 Y. Lahini , Y. Bromberg , Y. Shechtman , A. Szameit , D. N. Christodoulides , R. Morandotti , Y. Silberberg

We consider the transport of non-interacting electrons on two- and three-dimensional random Voronoi-Delaunay lattices. It was recently shown that these topologically disordered lattices feature strong disorder anticorrelations between the…

Disordered Systems and Neural Networks · Physics 2015-12-01 Martin Puschmann , Philipp Cain , Michael Schreiber , Thomas Vojta

We study the localization properties of non-interacting waves propagating in a speckle-like potential superposed on a one-dimensional lattice. Using a decimation/renormalization procedure, we estimate the localization length for a…

Disordered Systems and Neural Networks · Physics 2015-05-30 Serpil Sucu , Saban Aktas , S. Erol Okan , Zehra Akdeniz , Patrizia Vignolo

In this paper we address the characterization of the structure of condensed materials, periodic and non-periodic. Carrying out an extensive study of over 7000 different groundstate structures of a 2D lattice model of binary packing, we find…

Soft Condensed Matter · Physics 2026-05-21 Ian Douglass , Peter Harrowell

In analogy with usual Anderson localization taking place in time-independent disordered quantum systems where the disorder acts in configuration space, systems exposed to temporally disordered potentials can display Anderson localization in…

Quantum Physics · Physics 2016-08-31 Krzysztof Sacha , Dominique Delande

We predict the existence of a novel class of multidimensional light localizations in out-of-equilibrium ferroelectric crystals. In two dimensions, the non-diffracting beams form at arbitrary low power level and propagate even when their…

Optics · Physics 2013-05-29 Claudio Conti , Aharon J. Agranat , Eugenio DelRe

A two-dimensional phononic crystal with asymmetric scatterers is used for the study of Anderson localization of sound along one-dimensional disorder produced by random orientation of metallic rods. An exponentially weak transmission of…

Classical Physics · Physics 2018-10-22 Jyotsna Dhillon , Andrey Bozhko , Ezekiel Walker , Arup Neogi , Arkadii Krokhin

We investigate the scaling properties of the two-dimensional (2D) Anderson model of localization with purely off-diagonal disorder (random hopping). In particular, we show that for small energies the infinite-size localization lengths as…

Disordered Systems and Neural Networks · Physics 2009-10-31 Andrzej Eilmes , Rudolf A. Roemer , Michael Schreiber

We use two different fully vectorial microscopic models featuring nonresonant and resonant scattering, respectively, to demonstrate the Anderson localization transition for elastic waves in three-dimensional (3D) disordered solids. Critical…

Disordered Systems and Neural Networks · Physics 2018-08-24 S. E. Skipetrov , Y. M. Beltukov

Several aspects of interplay between Anderson localization and coherent amplification/absorption, and aspect of mirrorless laser for a laser-active (amplifying) disordered dielectric medium have been addressed. We have calculated the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Prabhakar Pradhan

Anderson localization (AL) is a ubiquitous interference phenomenon in which waves fail to propagate in a disordered medium. We observe three-dimensional AL of noninteracting ultracold matter by allowing a spin-polarized atomic Fermi gas to…

Quantum Gases · Physics 2011-10-12 S. S. Kondov , W. R. McGehee , J. J. Zirbel , B. DeMarco
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