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Linear singularly perturbed convection-diffusion problems with characteristic layers are considered in three dimensions. We demonstrate the sharpness of our recently obtained upper bounds for the associated Green's function and its…

Numerical Analysis · Mathematics 2013-06-28 Sebastian Franz , Natalia Kopteva

We address light propagation properties in complex media consisting of random distributions of lenses that have specific focusing properties. We present both analytical and numerical techniques that can be used to study emergent properties…

Optics · Physics 2017-04-07 M. Mattheakis , G. P. Tsironis

We develop a model based on a multiple scattering theory to describe the diffusion of polarized light in disordered media exhibiting short-range structural correlations. Starting from exact expressions of the average field and the field…

Optics · Physics 2016-10-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

We revisit the volume Green's function integral equation for modelling light scattering with discretization strategies as well as numerical integration recipes borrowed from finite element method. The merits of introducing finite element…

Optics · Physics 2019-06-26 Wen Li , Dong Tan , Jing Xu , Shubo Wang , Yuntian Chen

The distributions of the angular transmission coefficient and of the total transmission are calculated for multiple scattered waves. The calculation is based on a mapping to the distribution of eigenvalues of the transmission matrix. The…

Condensed Matter · Physics 2009-10-22 Th. M. Nieuwenhuizen , M. C. W. van Rossum

We have investigated the transport of light through slabs that both scatter and strongly absorb, a situation that occurs in diverse application fields ranging from biomedical optics, powder technology, to solid-state lighting. In…

Optics · Physics 2019-02-08 M. L. Meretska , R. Uppu , G. Vissenberg , A. Lagendijk , W. L. IJzerman , W. L. Vos

Two-dimensional problem of evanescent wave scattering by dielectric or metallic cylinders near the interface between two dielectric media is solved numerically by boundary integral equations method. A special Green function was proposed to…

Optics · Physics 2017-04-17 O. V. Belai , L. L. Frumin , S. V. Perminov , D. A. Shapiro

We investigate light propagation through materials with periodically modulated gain/loss profile in both transverse and longitudinal directions, i.e. in material with two-dimensional modulation in space. We predict effects of…

Optics · Physics 2008-11-27 K. Staliunas , R. Herrero , R. Vilaseca

The multiple scattering of scalar waves in diffusive media is investigated by means of the radiative transfer equation. This approach amounts to a resummation of the ladder diagrams of the Born series; it does not rely on the diffusion…

Condensed Matter · Physics 2007-05-23 E. Amic , J. M. Luck , Th. M. Nieuwenhuizen

The nonequilibrium photon Green function for a bounded medium surrounded by vacuum is analyzed on the basis of the Dyson equation. As its components, the field-field fluctuations as well as the spectral function split up into parts related…

Optics · Physics 2008-10-29 K. Henneberger

The polarization of a coherent depolarized incident light beam passing through a disordered medium is investigated. The local polarization of the scattered far field and the probability density function are calculated and show an excellent…

Optics · Physics 2011-06-06 Jacques Sorrentini , Myriam Zerrad , Gabriel Soriano , Claude Amra

Reflection and transmission of waves in piecewise constant layered media are important in various imaging modalities and have been studied extensively. Despite this, no exact time domain formulas for the Green's functions have been…

Combinatorics · Mathematics 2013-05-20 Peter C. Gibson

Light-matter interactions inside turbid medium can be controlled by tailoring the spatial distribution of energy density throughout the system. Wavefront shaping allows selective coupling of incident light to different transmission…

Optics · Physics 2017-09-06 M. Koirala , R. Sarma , H. Cao , A. Yamilov

Transport properties of three-dimensional self-affine rough fractures are studied by means of an effective-medium analysis and numerical simulations using the Lattice-Boltzmann method. The numerical results show that the effective-medium…

Statistical Mechanics · Physics 2007-05-23 German Drazer , Joel Koplik

Transport properties of strongly correlated quantum systems are of central interest in condensed matter, ultracold atoms and in dense plasmas. There, the proper treatment of strong correlations poses a great challenge to theory. Here, we…

Strongly Correlated Electrons · Physics 2015-03-06 M. Bonitz , N. Schluenzen , S. Hermanns

Anisotropic light transport is extremely common among scattering materials, yet a comprehensive picture of how macroscopic diffusion is determined by microscopic tensor scattering coefficients is not fully established yet. In this work, we…

We investigate light transport in novel three-dimensional scattering systems generated according to subrandom sequences and demonstrate subdiffusive behavior typical of wave transport in disordered systems at the critical point for…

Disordered Systems and Neural Networks · Physics 2021-06-25 Fabrizio Sgrignuoli , Luca Dal Negro

This article studies multiple scattering of matter waves by a disordered optical potential in two and in three dimensions. We calculate fundamental transport quantities such as the scattering mean free path $\ell_s$, the Boltzmann transport…

Other Condensed Matter · Physics 2011-11-09 R. C. Kuhn , O. Sigwarth , C. Miniatura , D. Delande , C. A. Mueller

We experimentally observe the spatial intensity statistics of light transmitted through three-dimensional isotropic scattering media. The intensity distributions measured through layers consisting of zinc oxide nanoparticles differ…

Disordered Systems and Neural Networks · Physics 2014-12-23 Tom Strudley , Duygu Akbulut , Willem L. Vos , Ad Lagendijk , Allard P. Mosk , Otto L. Muskens

Multiple light scattering is widely used to characterize dense colloidal systems as well as in deep tissue imaging; experiments are often interpreted via a theory of diffusion of the light intensity within a sample, neglecting the vector…

Soft Condensed Matter · Physics 2007-05-23 A. C. Maggs , V. Rossetto