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We investigate the distribution of the resonance widths ${\cal P}(\Gamma)$ and Wigner delay times ${\cal P}(\tau_W)$ for scattering from two-dimensional systems in the diffusive regime. We obtain the forms of these distributions (log-normal…

介观与纳米尺度物理 · 物理学 2009-11-07 A. Ossipov , Tsampikos Kottos , T. Geisel

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…

光学 · 物理学 2010-03-15 Claudio Conti , Andrea Fratalocchi , Silvia Gentilini

We study the distribution of resonance widths P(G) for three-dimensional (3D) random scattering media and analyze how it changes as a function of the randomness strength. We are able to identify in P(G) the system-inherent fingerprints of…

无序系统与神经网络 · 物理学 2009-11-11 Matthias Weiss , J. A. Mendez-Bermudez , Tsampikos Kottos

A short quasi-monochromatic wave packet incident on a semi-infinite disordered medium gives rise to a reflected wave. The intensity of the latter decays as a power law $1/t^{\alpha}$ in the long-time limit. Using the one-dimensional…

无序系统与神经网络 · 物理学 2018-03-14 Sergey E. Skipetrov , Aritra Sinha

We study the scattering modes of light in a three-dimensional disordered medium, in the scalar approximation and above the critical density for Anderson localization. Localized modes represent a minority of the total number of modes, even…

光学 · 物理学 2020-01-08 N. A. Moreira , R. Kaiser , R. Bachelard

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

Photon propagation in a gas of N atoms is studied using an effective Hamiltonian describing photon mediated atomic dipolar interactions. The density P(\Gamma) of photon escape rates is determined from the spectrum of the N x N random matrix…

介观与纳米尺度物理 · 物理学 2008-09-07 E. Akkermans , A. Gero , R. Kaiser

We numerically analyze the distribution of scattering resonance widths in one- and quasi-one dimensional tight binding models, in the localized regime. We detect and discuss an algebraic decay of the distribution, similar, though not…

介观与纳米尺度物理 · 物理学 2009-10-31 M. Terraneo , I. Guarneri

We study numerically the spectrum of the non-Hermitian effective Hamiltonian that describes the dipolar interaction of a gas of $N\gg 1$ atoms with the radiation field. We analyze the interplay between cooperative effects and disorder for…

介观与纳米尺度物理 · 物理学 2015-06-22 L. Bellando , A. Gero , E. Akkermans , R. Kaiser

We investigate light propagation in randomly spaced fiber gratings in a single mode fiber, and demonstrate the localization effect. Localization of light in random media resembles that of electrons in disordered solids, resulting from a…

光学 · 物理学 2009-11-11 Ofer Shapira , Baruch Fischer

Scattering of light by a random stack of dielectric layers represents a one-dimensional scattering problem, where the scattered field is a three-dimensional vector field. We investigate the dependence of the scattering properties (band gaps…

光学 · 物理学 2010-03-10 O. Fialko , K. Ziegler

Recent measurements of resonance widths for low-energy neutron scattering off heavy nuclei show large deviations from the standard Porter-Thomas distribution. We propose a new resonance width distribution based on the random matrix theory…

核理论 · 物理学 2012-10-09 Gavriil Shchedrin , Vladimir Zelevinsky

We analyze the scattering properties of a periodic one-dimensional system at criticality represented by the so-called power-law banded random matrix model at the metal insulator transition. We focus on the scaling of Wigner delay times…

无序系统与神经网络 · 物理学 2009-11-11 J. A. Mendez-Bermudez , I. Varga

We conduct a numerical investigation into wave propagation and localization in one-dimensional lattices subject to nonlinear disorder, focusing on cases with fixed input conditions. Utilizing a discrete nonlinear Schr\"odinger equation with…

无序系统与神经网络 · 物理学 2024-08-30 Ba Phi Nguyen , Kihong Kim

The phenomenon of electronic wave localization through disorder was introduced by Anderson in 1958 in the context of electron transport in solids. It remains an important area of fundamental and applied research. Localization of all wave…

物理教育 · 物理学 2016-10-12 K. J. Kemp , S. Barker , J. Guthrie , B. Hagood , M. D. Havey

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

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…

光学 · 物理学 2020-06-05 Jakub Haberko , Luis S. Froufe-Pérez , Frank Scheffold

We establish a localization phase diagram for light in a random three-dimensional (3D) ensemble of motionless two-level atoms with a three-fold degenerate upper level, in a strong static magnetic field. Localized modes appear in a narrow…

原子物理 · 物理学 2018-09-05 S. E. Skipetrov

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…

光学 · 物理学 2026-04-29 Yevgen Grynko , Dustin Siebert , Jan Sperling , Jens Förstner

We present a method to demonstrate Anderson localization in an optically induced randomized potential. By usage of computer controlled spatial light modulators, we are able to implement fully randomized nondiffracting beams of variable…

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