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The phenomenon of Anderson localization of waves in elastic systems is studied. We analyze this phenomenon in two different set of systems: disordered linear chains of harmonic oscillators and disordered rods which oscillate with torsional…

Classical Physics · Physics 2023-07-19 R. A. Mendez-Sanchez , L. Gutierrez , A. Morales , J. Flores , A. Diaz-de-Anda , G. Monsivais

In linear disordered systems Anderson localization makes any wave packet stay localized for all times. Its fate in nonlinear disordered systems is under intense theoretical debate and experimental study. We resolve this dispute showing that…

Disordered Systems and Neural Networks · Physics 2015-05-30 M. V. Ivanchenko , T. V. Laptyeva , S. Flach

Understanding the ability of particles to maneuver through disordered environments is a central problem in innumerable settings, from active matter and biology to electronics. Macroscopic particles ultimately exhibit diffusive motion when…

Fluid Dynamics · Physics 2024-09-18 Abel J. Abraham , Stepan Malkov , Frane A. Ljubetic , Matthew Durey , Pedro J. Sáenz

We experimentally investigate the evolution of linear and nonlinear waves in a realization of the Anderson model using disordered one dimensional waveguide lattices. Two types of localized eigenmodes, flat-phased and staggered, are directly…

Wave localization is ubiquitous in disordered media -- from amorphous materials, where soft-mode localization is closely related to materials failure, to semi-conductors, where Anderson localization leads to metal-insulator transition. Our…

Soft Condensed Matter · Physics 2020-07-30 Tingtao Zhou , Dimitrios Fraggedakis , Fan Wang

We report Anderson localization in two-dimensional optical waveguide arrays with disorder in waveguide separation introduced along one axis of the array, in an uncorrelated fashion for each waveguide row. We show that the anisotropic nature…

We show that Anderson localization is possible in waveguide arrays with periodically-spaced defect waveguides having lower refractive index. Such localization is mediated by Bragg reflection, and it takes place even if diagonal or…

Diffusion has been widely used to describe a random walk of particles or waves, and it requires only one parameter -- the diffusion constant. For waves, however, diffusion is an approximation that disregards the possibility of interference.…

Optics · Physics 2014-01-23 Alexey G. Yamilov , Raktim Sarma , Brandon Redding , Ben Payne , Heeso Noh , Hui Cao

We study Anderson localization and propagation of partially-spatially incoherent wavepackets in linear disordered potentials, motivated by the insight that interference phenomena resulting from multiple scattering are affected by the…

Optics · Physics 2015-05-27 D. Čapeta , J. Radić , A. Szameit , M. Segev , H. Buljan

Anderson localization is a consequence of coherent interference of multiple scattering events in the presence of disorder, which leads to an exponential suppression of the transmission. The decay of the transmission is typically probed at a…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hichem Eleuch , Michael Hilke , Richard MacKenzie

Anderson localization marks a halt of diffusive wave propagation in disordered systems. Despite extensive studies over the past 40 years, Anderson localization of light in three dimensions has remained elusive, leading to the question of…

In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms responsible for the fundamental features of Anderson localization. The occurrence strong…

Disordered Systems and Neural Networks · Physics 2023-07-21 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

We present two complementary simulations that lead to an exploration of Anderson localization, a phenomenon in which wave diffusion is suppressed in disordered media by interference from multiple scattering. To build intuition, the first…

Disordered Systems and Neural Networks · Physics 2026-01-06 Jake S. Bobowski

Anderson localization was discovered 50 years ago to describe the propagation of electrons in the presence of disorder. The main prediction back then, was the existence of disorder induced localized states, which do not conduct electricity.…

Disordered Systems and Neural Networks · Physics 2015-05-13 M. Hilke

Random scattering of photons in disordered one-dimensional solids gives rise to an exponential suppression of transmission, which is known as Anderson localization. Here, we experimentally study Anderson localization in a superconducting…

We prove Anderson localization in a disordered photonic crystal waveguide by measuring the ensemble-averaged localization length which is controlled by the dispersion of the photonic crystal waveguide. In such structures, the localization…

Optics · Physics 2015-05-18 P. D. Garcia , S. Smolka , S. Stobbe , P. Lodahl

Anderson localization is a multiple-scattering phenomenon of linear waves propagating within a disordered medium. Discovered in the late 50s for electrons, it has since been observed experimentally with cold atoms and with classical waves…

Disordered Systems and Neural Networks · Physics 2024-07-10 Guillaume Ricard , Filip Novkoski , Eric Falcon

Wave propagation in disordered media can be strongly modified by multiple scattering and wave interference. Ultimately the so-called Anderson-localized regime is reached when the waves become strongly confined in space. So far, Anderson…

Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition, quantum Hall effect, light propagation in…

Chaotic Dynamics · Physics 2015-10-06 Sergej Flach

We review some recent (mostly ours) results on the Anderson localization of light and electron waves in complex disordered systems, including: (i) left-handed metamaterials, (ii) magneto-active optical structures, (iii) graphene…

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