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This tutorial review gives an overview of the transverse Anderson localization of light in one and two transverse dimensions. A pedagogical approach is followed throughout the presentation, where many aspects of localization are illustrated…

光学 · 物理学 2015-06-05 Arash Mafi

Whether the Anderson localization can survive from the weak enough nonlinear interaction is still an open question. In this Letter, we study the effect of nonlinear interaction on disordered chain based on the wave turbulence theory. It is…

统计力学 · 物理学 2020-10-13 Wang Zhen , Fu Weicheng , Zhang Yong , Zhao Hong

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…

无序系统与神经网络 · 物理学 2015-05-30 M. V. Ivanchenko , T. V. Laptyeva , S. Flach

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.…

无序系统与神经网络 · 物理学 2015-05-13 M. Hilke

Anderson localization has been a subject of intense studies for many years. In this context, we study numerically the influence of long-range correlated disorder on the localization behavior in one dimensional systems. We investigate the…

无序系统与神经网络 · 物理学 2015-03-19 Alexander Croy , Philipp Cain , Michael Schreiber

The effect of focusing and defocusing nonlinearities on Anderson localization in highly nonlocal media is theoretically and numerically investigated. A perturbative approach is developed to solve the nonlocal nonlinear Schroedinger equation…

光学 · 物理学 2012-01-20 Viola Folli , Claudio Conti

We propose an experimental setup for studying the Anderson localization of light in the continuous transverse spatial degrees of freedom of the photons. This physical phenomenon can be observed in the transverse profile of a paraxial and…

量子物理 · 物理学 2019-06-11 Rafael M. Gomes , Wesley B. Cardoso , Ardiley T. Avelar

We investigate numerically the effect of long-range interaction on the transverse localization of light. To this end, nonlinear zigzag optical waveguide lattices are applied, which allows precise tuning of the second-order coupling. We find…

光学 · 物理学 2013-09-13 M. Golshani , A. R. Bahrampour , A. Langari , A. Szameit

The interplay between nonlinear effects and Anderson localization in disordered optical fibres1 has recently attracted great interest, and it is important in the action of random lasers in which closed multiple scattering loops have…

无序系统与神经网络 · 物理学 2015-04-08 Georg Maret , Tilo Sperling , Wolfgang Bührer , Andreas Lubatsch , Regine Frank , Christof M. Aegerter

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…

无序系统与神经网络 · 物理学 2024-07-10 Guillaume Ricard , Filip Novkoski , Eric Falcon

We report the experimental observation of the interaction and attraction of many localized modes in a two dimensional (2D) system realized by a disordered optical fiber supporting transverse Anderson localization. We show that a nonlocal…

光学 · 物理学 2014-07-31 Marco Leonetti , Salman Karbasi , Arash Mafi , Claudio Conti

A solid transparent medium with randomly positioned, immobile impurity atoms is a promising candidate for observation of Anderson localization of light in three dimensions. It can have low losses and allows for mitigation of the detrimental…

光学 · 物理学 2025-07-30 S. E. Skipetrov , I. M. Sokolov

Light propagation through 1D disordered structures composed of alternating layers, with random thicknesses, of air and a dispersive metamaterial is theoretically investigated. Both normal and oblique incidences are considered. By means of…

无序系统与神经网络 · 物理学 2015-05-19 D. Mogilevtsev , F. A. Pinheiro , R. R. dos Santos , S. B. Cavalcanti , L. E. Oliveira

We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson - nonlinear…

光学 · 物理学 2015-06-03 M. I. Molina , N. Lazarides , G. P. Tsironis

We study wave transmission through one-dimensional random nonlinear structures and predict a novel effect resulting from an interplay of nonlinearity and disorder. We reveal that, while weak nonlinearity does not change the typical…

光学 · 物理学 2010-04-23 I. V. Shadrivov , K. Y. Bliokh , Y. P. Bliokh , V. Freilikher , Y. S. Kivshar

An alternative explanation of the physical nature of Anderson localization phenomenon and one of the most direct ways of its experimental study are discussed.

综合物理 · 物理学 2013-04-08 V. A. Kuz'menko

We study the Anderson localization in nonlinear systems by taking a nonlinear transmission line realizing the Toda lattice. It is found that the randomness in inductance induces the Anderson localization in the voltage propagation.…

无序系统与神经网络 · 物理学 2021-09-14 Motohiko Ezawa

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…

介观与纳米尺度物理 · 物理学 2017-06-28 Hichem Eleuch , Michael Hilke , Richard MacKenzie

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…

Disordered transverse Anderson localizing optical fibers have shown great promise in various applications from image transport to random lasing. Their success is due to their novel waveguiding behavior, which is enabled by the transverse…

光学 · 物理学 2019-03-07 Arash Mafi , Matthew Tuggle , Cody Bassett , Esmaeil Mobini , John Ballato
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