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As part of condensed-matter physics, the field of Anderson localization concerns the study of conductance of electrons in a random medium. We summarize and explain the results obtained in "A new numerical approach to Anderson…

Mathematical Physics · Physics 2012-07-17 Constanze Liaw

Transmission eigenchannels are building blocks of coherent wave transport in diffusive media, and selective excitation of individual eigenchannels can lead to diverse transport behavior. An essential yet poorly understood property is the…

Optics · Physics 2019-08-06 Hasan Yılmaz , Chia Wei Hsu , Alexey Yamilov , Hui Cao

Localization due to disorder has been one of the most intriguing theoretical concepts evolved in condensed matter. Here, we expand the theory of localization by considering two types of disorder at the same time, namely the original…

Disordered Systems and Neural Networks · Physics 2023-03-03 Mouyang Cheng , Haoxiang Chen , Ji Chen

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

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…

When a disordered array of coupled waveguides is illuminated with an extended coherent optical field, discrete speckle develops: partially coherent light with a granular intensity distribution on the lattice sites. The same paradigm applies…

Optics · Physics 2017-07-11 H. Esat Kondakci , Ayman F. Abouraddy , Bahaa E. A. Saleh

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…

Optics · Physics 2010-03-10 O. Fialko , K. Ziegler

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

Anderson localization is studied for two-dimensional Dirac fermions in the presence of strong random scattering. Averaging with respect to the latter leads to a graphical representation of the correlation function with entangled random…

Disordered Systems and Neural Networks · Physics 2014-12-25 K. Ziegler

We theoretically investigate light propagation and Anderson localization in one-dimensional disordered superlattices composed of dielectric stacks with graphene sheets in between. Disorder is introduced either on graphene material…

Disordered Systems and Neural Networks · Physics 2016-02-19 A. J. Chaves , N. M. R. Peres , F. A. Pinheiro

We study two-dimensional tensorial elastic wave transport in densely fractured media and document transitions from propagation to diffusion and to localization/delocalization. For large fracture stiffness, waves are propagative at the scale…

Geophysics · Physics 2021-02-04 Qinghua Lei , Didier Sornette

We report a theoretical study of Anderson localization of nonclassical light with emphasis on the quantum statistical aspects of localized light. We demonstrate, from the variance in mean intensity of localized light, as well as…

Optics · Physics 2010-04-22 Clinton Thompson , Gautam Vemuri , G. S. Agarwal

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…

Optics · Physics 2009-11-11 Ofer Shapira , Baruch Fischer

We study the transmission of a tightly focused beam through a thick slab of 3D disordered medium in the Anderson localized regime. We show that the transverse profile of the transmitted beam exhibits clear signatures of Anderson…

Disordered Systems and Neural Networks · Physics 2010-11-16 N. Cherroret , S. E. Skipetrov , B. A. van Tiggelen

As discovered by Philip Anderson in 1958, strong disorder can block propagation of waves and lead to the localization of wave-like excitations in space. Anderson localization of light is particularly exciting in view of its possible…

Optics · Physics 2014-01-20 Sergey E. Skipetrov , Igor M. Sokolov

We report an in-depth investigation of the Anderson localization transition for classical waves in three dimensions (3D). Experimentally, we observe clear signatures of Anderson localization by measuring the transverse confinement of…

Disordered Systems and Neural Networks · Physics 2018-12-10 L. A. Cobus , W. K. Hildebrand , S. E. Skipetrov , B. A. van Tiggelen , J. H. Page

Localization of electromagnetic waves in disordered potentials is prevented by polarization terms, so only light scattering systems of dimensions $d=1$ and $2$ with scalar properties exhibit light localization. We here show that this result…

Optics · Physics 2020-01-03 Carlos E. Máximo , Noel A. Moreira , Robin Kaiser , Romain Bachelard

We study the propagation of radiation through a disordered waveguide with a complex dielectric constant $\epsilon$, and show that dual systems, which differ only in the sign of the imaginary part of $\epsilon$, have the same localization…

Condensed Matter · Physics 2008-02-03 J. C. J. Paasschens , T. Sh. Misirpashaev , C. W. J. Beenakker

We report the enhancement of the effect of transverse localization of light (TL) in presence of a weak longitudinal modulation of refractive index in disordered waveguide lattices. In our chosen lattices, tunneling inhibition along length…

Optics · Physics 2012-10-12 Somnath Ghosh , R. K. Varsheny , Bishnu P. Pal

Complex dielectric media often appear opaque because light traveling through them is scattered multiple times. Although the light scattering is a random process, different paths through the medium can be correlated encoding information…

Optics · Physics 2013-01-08 Pedro David García , Søren Stobbe , Immo Söllner , Peter Lodahl