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We provide a general microscopic theory of the scattering cross-section and of the refractive index for a system of interacting colloidal particles, exact at second order in the molecular polarizabilities. In particular: a) we show that the…

Soft Condensed Matter · Physics 2014-10-01 Alberto Parola , Roberto Piazza , Vittorio Degiorgio

The van de Hulst formula provides an expression for the effective refractive index or effective propagation constant of a suspension of particles of arbitrary shape, size and refractive index in an optically homogeneous medium. However, its…

Optics · Physics 2021-05-19 Alexander Nahmad-Rohen , Augusto García-Valenzuela

In this paper, a linear model based on multiple measurement vectors model is proposed to formulate the inverse scattering problem of highly conductive objects at one single frequency. Considering the induced currents which are mostly…

Signal Processing · Electrical Eng. & Systems 2019-06-27 Shilong Sun , Bert Jan Kooij , Alexander G. Yarovoy

We present an analytic model of the refractive index for matter waves propagating through atomic or molecular gases. The model, which combines a WKB treatment of the long range attraction with the Fraunhofer model treatment of the short…

Atomic Physics · Physics 2010-08-20 Mikhail Lemeshko , Bretislav Friedrich

In this work, the author developed a multiple scattering model for heterogeneous elastic continua with strong property fluctuation and obtained the exact solution to the dispersion equation derived from the Dyson equation under the…

Geophysics · Physics 2017-06-29 Huijing He

We outline a machine learning strategy for determining the effective interaction in the condensed phases of matter using scattering. Via a case study of colloidal suspensions, we showed that the effective potential can be probabilistically…

Soft Condensed Matter · Physics 2021-03-30 Chi-Huan Tung , Shou-Yi Chang , Jan-Michael Carrillo , Bobby G. Sumpter , Changwoo Do , Wei-Ren Chen

We introduce a new approach for measuring both the effective medium and the transport properties of light propagation in heterogeneous media. Our method utilizes the conceptual equivalence of frequency variation with a change in the…

Optics · Physics 2009-12-21 Sanli Faez , P. M. Johnson , Ad Lagendijk

A fundamental quantity in multiple scattering is the transport mean free path the inverse of which describes the scattering strength of a sample. In this paper, we emphasize the importance of an appropriate description of the effective…

Disordered Systems and Neural Networks · Physics 2017-11-02 Geoffroy J. Aubry , Lukas Schertel , Mengdi Chen , Henrik Weyer , Christof M. Aegerter , Sebastian Polarz , Helmut Cölfen , Georg Maret

We formally deduce closed-form expressions for the transmitted effective wavenumber of a material comprising multiple types of inclusions or particles (multi-species), dispersed in a uniform background medium. The expressions, derived here…

Classical Physics · Physics 2018-05-09 Artur L. Gower , Michael J. A. Smith , William J. Parnell , Ian David Abrahams

Dose calculation for radiotherapy with protons and heavier ions deals with a large volume of path integrals involving a scattering power of body tissue. This work provides a simple model for such demanding applications. There is an…

Medical Physics · Physics 2009-02-02 Nobuyuki Kanematsu

When a wave, such as sound or light, scatters within a densely packed particulate, it can be rescattered many times between the particles, which is called multiple scattering. Multiple scattering can be unavoidable when: trying to use sound…

Classical Physics · Physics 2023-08-28 K. K. Napal , P. S. Piva , A. L. Gower

Starting from fundamental multiple scattering theory it is shown that negative refraction indices are feasible for matter waves passing a well-defined ensemble of scatterers. A simple approach to this topic is presented and explicit…

Quantum Physics · Physics 2016-03-07 Florian Pinsker

The purpose of this work is to find the time dependent distributions of directions and positions of a particle that undergoes multiple elastic scattering. The angular cross section is given and the scatterers are randomly placed. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ricardo Garcia-Pelayo

We introduce a novel reflection-mode diffraction tomography technique that enables simultaneous recovery of forward and backward scattering information for high-resolution 3D refractive index reconstruction. Our technique works by imaging a…

Optics · Physics 2025-02-12 Tongyu Li , Jiabei Zhu , Yi Shen , Lei Tian

A simple analytic method of estimating the error involved in using an approximate boundary condition for diffuse radiation in two adjoining scattering media with differing refractive index is presented. The method is based on asymptotic…

Optics · Physics 2015-05-28 Adrian C. Selden

We present a numerically efficient and accurate Multiple Scattering formalism, which is a generalization of the Multiple Scattering method with a truncated basis set [X. -G. Zhang and W. H. Butler, Phys. Rev. B 46,7433 (1992)]. Compared to…

Quantum Physics · Physics 2016-05-03 Junqing Xu , Keisuke Hatada , Didier Sébilleau , Li Song

In this paper the validity of the diffusion approximation for multiple scattering of classical waves in random medium in different regimes is investigated, with emphasize to weak localization effects. Many principle topics are discussed…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter Slavov

We study active array imaging of small but strong scatterers in homogeneous media when multiple scattering between them is important. We use the Foldy-Lax equations to model wave propagation with multiple scattering when the scatterers are…

Mathematical Physics · Physics 2015-12-15 Anwei Chai , Miguel Moscoso , George Papanicolaou

A variety of problems in device and materials design require the rapid forward modeling of Maxwell's equations in complex micro-structured materials. By combining high-order accurate integral equation methods with classical multiple…

Numerical Analysis · Mathematics 2011-04-29 Zydrunas Gimbutas , Leslie Greengard

The interpretation of experimental results at RHIC and in the future also at LHC requires very reliable and realistic models. Considerable effort has been devoted to the development of such models during the past decade, many of them being…

High Energy Physics - Phenomenology · Physics 2016-09-06 K. Werner , H. J. Drescher , S. Ostapchenko , T. Pierog
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