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This work concerns the modeling of radiative transfer in anisotropic turbid media using diffusion theory. A theory for the relationship between microscopic scattering properties (i.e., an arbitrary differential scattering cross-section) and…

光学 · 物理学 2014-08-14 Erik Alerstam

A generalized anisotropic-diffusion framework is developed for transport problem in media described by a tensorial scattering coefficient and a scalar Henyey--Greenstein asymmetry factor. In this regime the classical similarity relation…

光学 · 物理学 2026-02-24 Ernesto Pini , Michele Giusfredi , Lorenzo Pattelli

Structurally anisotropic materials are ubiquitous in several application fields, yet their accurate optical characterization remains challenging due to the lack of general models linking their scattering coefficients to the macroscopic…

In the last decade Diffusing Wave Spectroscopy (DWS) has emerged as a powerful tool to study turbid media. In this article we develop the formalism to describe light diffusion in general anisotropic turbid media. We give explicit formulas…

软凝聚态物质 · 物理学 2009-10-28 Holger Stark , Tom C. Lubensky

We present a theoretical and experimental study of light transport in disordered media with strongly heterogeneous distribution of scatterers formed via non-scattering regions. Step correlations induced by quenched disorder are found to…

无序系统与神经网络 · 物理学 2014-03-05 Tomas Svensson , Kevin Vynck , Erik Adolfsson , Andrea Farina , Antonio Pifferi , Diederik S. Wiersma

The geometry of mesoscopic inhomogeneities plays an important role in determining the macroscopic propagation behaviors of elastic waves in a heterogeneous medium. Nonequiaxed inhomogeneities can lead to anisotropic wave velocity and…

地球物理 · 物理学 2020-05-05 Huijing He

Light diffusion is usually associated with thick, opaque media. Indeed, multiple scattering is necessary for the onset of the diffusive regime and such condition is generally not met in almost transparent media. Nonetheless, at long enough…

As manifested in the similarity relation of diffuse light transport, it is difficult to assess single scattering characteristics from multiply scattered light. We take advantage of the limited validity of the diffusion approximation of…

Anisotropic diffusion processes emerge in various fields such as transport in biological tissue and diffusion in liquid crystals. In such systems, the motion is described by a diffusion tensor. For a proper characterization of processes…

数据分析、统计与概率 · 物理学 2013-11-14 Mario Heidernätsch , Michael Bauer , Günter Radons

This is the second paper in a series on light scattering from optically anisotropic scatterers embedded in an isotropic medium. The apparently complex T-matrix theory involving mixing of angular momentum components turns out to be an…

光学 · 物理学 2007-05-23 A. D. Kiselev , V. Yu. Reshetnyak , T. J. Sluckin

We propose a new model to describe diffusion processes within active deformable media. Our general theoretical framework is based on physical and mathematical considerations, and it suggests to use diffusion tensors directly coupled to…

组织与器官 · 定量生物学 2021-03-03 Christian Cherubini , Simonetta Filippi , Alessio Gizzi , Ricardo Ruiz-Baier

We develop a model for the reflection and transmission of plane waves by an isotropic layer sandwiched between two uniaxial crystals of arbitrary orientation. In the laboratory frame, reflection and transmission coefficients corresponding…

材料科学 · 物理学 2009-04-29 Erik S. Thomson , Larry A. Wilen , John S. Wettlaufer

It is known that compaction of granular matter can lead to anisotropic mechanical properties. Recent work has confirmed the link to pore space anisotropy, but the relation between compression, mechanical properties and material…

光学 · 物理学 2012-04-11 Erik Alerstam , Tomas Svensson

Randomly textured polycrystalline materials of constituents with highly anisotropic nature of grains can be considered globally isotropic. In order to determine the isotropic properties, like elasticity or conductivity, we propose a theory…

材料科学 · 物理学 2018-12-07 Adam Takacs , Géza Tichy , Péter Dusán Ispánovity

The multiple scattering of scalar waves in diffusive media is investigated by means of the radiative transfer equation. This approach, which does not rely on the diffusion approximation, becomes asymptotically exact in the regime of most…

凝聚态物理 · 物理学 2009-10-28 E. Amic , J. M. Luck , Th. M. Nieuwenhuizen

In the field of structured light, the study of optical vortices and their vectorial extension--vectorial vortex beams--has garnered substantial interest due to their unique phase and polarisation properties, which make them appealing for…

We theoretically analyze diffusion trajectories of an anisotropic object moving on a two dimensional space in the absence of an external field. In determining diffusion parameters associated with the shape anisotropy, we devise a measure…

统计力学 · 物理学 2015-08-31 Sunghan Roh , Juyeon Yi , Yong Woon Kim

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…

凝聚态物理 · 物理学 2007-05-23 E. Amic , J. M. Luck , Th. M. Nieuwenhuizen

Anisotropy of the permeability tensor in statistically uniform porous media of sizes used in typical computer simulations is studied. Although such systems are assumed to be isotropic by default, we show that de facto their anisotropic…

流体动力学 · 物理学 2015-05-13 Zbigniew Koza , Maciej Matyka , Arzhang Khalili

The diffusion motions of individual polymer aggregates in disordered porous media were visualized using the single particle tracking (SPT) method because the motions inside porous media play important roles in various fields of science and…

软凝聚态物质 · 物理学 2024-10-24 Yusaku Abe , Naoki Tomioka , Yu Matsuda
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