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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

We demonstrate that in pair plasma weakly nonlinear electromagnetic waves, $a_0 \leq 1$, experience Anderson self-localization. The beat between the driver and a back-scattered wave creates charge-neutral, large random density fluctuations…

Plasma Physics · Physics 2026-01-21 Maxim Lyutikov , Victor Gurarie

We address Anderson localization of light in disordered optical lattices where the disorder strength varies across the transverse direction. Such variation changes the preferred domains where formation of localized eigenmodes is most…

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…

Quantum Physics · Physics 2019-06-11 Rafael M. Gomes , Wesley B. Cardoso , Ardiley T. Avelar

We investigate experimentally the light evolution inside a two-dimensional finite periodic array of weakly- coupled optical waveguides with a disordered boundary. For a completely localized initial condition away from the surface, we find…

We review our recent work leading to steady-state solutions of the semiclassical (Maxwell-Bloch) equations of a laser. These are coupled non-linear partial differential equations in space and time which have previously been solved either by…

Anderson localization lasers exploit resonant cavities formed due to structural disorder. The inherent randomness in the structure of these cavities realizes a probability distribution in all cavity parameters such as quality factors, mode…

Using a random array of coupled metallic nanowires as a generic example of disordered plasmonic systems, we demonstrate that the structural disorder induces localization of light in these nanostructures at a deep-subwavelength scale. The ab…

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…

Optics · Physics 2019-03-07 Arash Mafi , Matthew Tuggle , Cody Bassett , Esmaeil Mobini , John Ballato

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

Recent advances in transport properties measurements of disordered materials and lattice simulations, using superconducting qubits, have rekindled interest in Anderson localization, motivating our study of highly disordered quantum…

Quantum Physics · Physics 2024-06-03 Ilia Tutunnikov , Jianshu Cao

We follow the dynamics of nonlinear waves in two-dimensional disordered lattices with tunable nonlinearity. In the absence of nonlinear terms Anderson localization traps the packet in space. For the nonlinear case a destruction of Anderson…

Chaotic Dynamics · Physics 2012-03-15 T. V. Laptyeva , J. D. Bodyfelt , S. Flach

Exponential localization of wavefunctions in lattices, whether in real or synthetic dimensions, is a fundamental wave interference phenomenon. Localization of Bloch-type functions in space-periodic lattice, triggered by spatial disorder, is…

Disordered Systems and Neural Networks · Physics 2021-01-22 Adhip Pattanayak , Á. Jiménez-Galán , Misha Ivanov , Gopal Dixit

We report a study of three-dimensional (3D) localization of ultracold atoms suspended against gravity, and released in a 3D optical disordered potential with short correlation lengths in all directions. We observe density profiles composed…

Localization of light is the photon analog of electron localization in disordered lattices for whose discovery Anderson received the Nobel prize in 1977. The question about its existence in open three-dimensional materials has eluded an…

Optics · Physics 2020-06-05 Jakub Haberko , Luis S. Froufe-Pérez , Frank Scheffold

Previous work has established that the localized regime of wave transport in open media is characterized by a position-dependent diffusion coefficient. In this work we study how the concept of position-dependent diffusion affects the delay…

Disordered Systems and Neural Networks · Physics 2017-05-24 B. A. van Tiggelen , S. E. Skipetrov , J. H. Page

Anderson localization is a ubiquitous interference phenomenon in which waves fail to propagate in a disordered medium. Unlike in a classical resonator, satisfying the favorable condition for the interference in a disordered medium is truly…

Optics · Physics 2019-01-23 Suman Kalyan Manna , Laurent Dupont , Sasanka Dalapati

During the last 30 years, the search for Anderson localization of light in three-dimensional (3D) disordered samples yielded a number of experimental observations that were first considered successful, then disputed by opponents, and later…

Disordered Systems and Neural Networks · Physics 2016-01-29 S. E. Skipetrov , J. H. Page

Taking into account that a proper description of disordered systems should focus on distribution functions, the authors develop a powerful numerical scheme for the determination of the probability distribution of the local density of states…

Disordered Systems and Neural Networks · Physics 2013-06-20 Gerald Schubert , Alexander Weisse , Gerhard Wellein , Holger Fehske

We investigate the simultaneous propagation of multiple beams in a disordered Anderson localized optical fiber. The profiles of each beam fall off exponentially, enabling multiple channels at high-density. We examine the influence of fiber…

Optics · Physics 2015-06-05 Salman Karbasi , Karl W. Koch , Arash Mafi