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We study spectral properties of partial differential operators modelling composite materials with highly contrasting constituents, comprised of soft spherical inclusions with random radii dispersed in a stiff matrix. Such operators have…

Spectral Theory · Mathematics 2025-12-03 Matteo Capoferri , Matthias Täufer

We report on the transition between an Anderson localized regime and a conductive regime in a 1D scattering system with correlated disorder. We show experimentally that when long-range correlations, in the form of a power-law spectral…

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 theoretically and computationally investigate the role that the spatial spread of atoms plays in the transmission and reflection of weak light from atom arrays. In particular, we investigate whether coherent wave functions for the atoms'…

Quantum Physics · Physics 2025-02-11 F. Robicheaux

A finite photonic lattice with two bands and a random gap is considered. Using a two-dimensional Dirac equation, the effect of a random sign of the Dirac mass is studied numerically. The edge state at the sample boundary has a strong…

Disordered Systems and Neural Networks · Physics 2017-08-29 K. Ziegler

Based on fundamental properties of light scattering by a particle we reveal the existence of the ultimate upper limit for the light absorption by any partial mode. First, we obtain this result for scattering of a plane wave by a symmetric…

Optics · Physics 2018-01-24 Andrey E. Miroshnichenko , Michael I. Tribelsky

Since the work of Anderson on localization, interference effects for the propagation of a wave in the presence of disorder have been extensively studied, as exemplified in coherent backscattering (CBS) of light. In the multiple scattering…

Quantum Physics · Physics 2009-11-07 Cord A. Mueller , Thibaut Jonckheere , Christian Miniatura , Dominique Delande

We theoretically study the propagation of light in one-dimensional space- and time-dependent disorder. The disorder is described by a fluctuating permittivity $\epsilon(x,t)$ exhibiting short-range correlations in space and time, without…

Optics · Physics 2026-02-24 Alexandre Selvestrel , Julia Rocha , Rémi Carminati , Romain Pierrat

Scattering of light from an anisotropic source produces linear polarization in spectral lines and the continuum. In the outer layers of a stellar atmosphere the anisotropy of the radiation field is typically dominated by the radiation…

Solar and Stellar Astrophysics · Physics 2015-05-30 Rafael Manso Sainz , Javier Trujillo Bueno

We study Anderson localization in two-dimensional systems with purely off-diagonal disorder. Localization lengths are computed by the transfer-matrix method and their finite-size and scaling properties are investigated. We find various…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andrzej Eilmes , Rudolf A. Roemer

Linear scattering processes are usually described as a function of the parameters of the incident beam. The wavelength, the intensity distribution, the polarization or the phase are among them. Here, we discuss and experimentally…

In the framework of non-Hermitian photonics, we investigate the interplay between disorder and non-Hermiticity in a one-dimensional Hatano-Nelson lattice. While Anderson localization dictates the wave's evolution in conservative random…

Disordered Systems and Neural Networks · Physics 2025-05-20 E. T. Kokkinakis , K. G. Makris , E. N. Economou

In the diffusive transport of waves in three dimensional media, there should be a phase transition with increasing disorder to a state where no transport occurs. This transition was first discussed by Anderson in 1958 in the context of the…

Disordered Systems and Neural Networks · Physics 2015-06-12 T. Sperling , W. Bührer , C. M. Aegerter , G. Maret

We explore the electrodynamic coupling between a plane wave and an infinite two-dimensional periodic lattice of magneto-electric point scatterers, deriving a semi-analytical theory with consistent treatment of radiation damping,…

Optics · Physics 2013-12-16 Per Lunnemann , Ivana Sersic , A. Femius Koenderink

We present a detailed numerical and theoretical analysis of the recently discovered phenomenon of coherent forward scattering. This effect manifests itself as a macroscopic interference peak in the forward direction of the momentum…

Disordered Systems and Neural Networks · Physics 2014-12-02 S. Ghosh , N. Cherroret , B. Grémaud , C. Miniatura , D. Delande

The paper reports a theoretical study of scattering of electrons by edges in graphene and its effect on Raman scattering. First, effective models are discussed for translationally invariant and rough edges. Second, they are used in a…

Materials Science · Physics 2009-05-28 D. M. Basko

We investigate the scaling properties of the two-dimensional (2D) Anderson model of localization with purely off-diagonal disorder (random hopping). Using the transfer-matrix method and finite-size scaling we compute the infinite-size…

Disordered Systems and Neural Networks · Physics 2015-06-24 Andrzej Eilmes , Rudolf A. Roemer

We study the electron scatter from the freely movable spin-$\frac{1}{2}$ particle in the presence of a linearly polarized laser field in the first Born approximation. The dressed state of electrons is described by a time-dependent wave…

Atomic Physics · Physics 2014-09-19 Ai-Hua Liu , Shu-Min Li

We study numerically a spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schr\"odinger lattice with disorder. We demonstrate that above a certain critical strength of nonlinearity the Anderson…

Disordered Systems and Neural Networks · Physics 2008-03-12 A. S. Pikovsky , D. L. Shepelyansky

We theoretically investigate light scattering from an array of atoms into the guided modes of a waveguide. We show that the scattering of a plane wave laser field into the waveguide modes is dramatically enhanced for angles that deviate…

Quantum Physics · Physics 2021-10-27 B. Olmos , C. Liedl , I. Lesanovsky , P. Schneeweiss