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The newly emerging field of wave front shaping in complex media has recently seen enormous progress. The driving force behind these advances has been the experimental accessibility of the information stored in the scattering matrix of a…

Optics · Physics 2017-03-06 Stefan Rotter , Sylvain Gigan

A general approach for the calculation of the incoherent intensity scattered by a random medium with rough boundaries has been developed using a Green function formalism. The random medium consists of spherical particles whose physical…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Soubret , G. Berginc

Light transport in superdiffusive media of finite size is studied theoretically. The intensity Green's function for a slab geometry is found by discretizing the fractional diffusion equation and employing the eigenfunction expansion method.…

Optics · Physics 2010-10-26 Jacopo Bertolotti , Kevin Vynck , Diederik S. Wiersma

Diffusion is the result of repeated random scattering. It governs a wide range of phenomena from Brownian motion, to heat flow through window panes, neutron flux in fuel rods, dispersion of light in human tissue, and electronic conduction.…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Zhou Shi , Azriel Z. Genack

The multiple scattering of an ultrashort laser pulse by a turbid dispersive medium (namely a cloud of bubbles in water) is investigated by means of Monte Carlo simulations. The theory of Gouesbet and Gr\'ehan [Part. Part. Syst. Charact. 17…

Computational Physics · Physics 2022-03-14 Geoffroy Chaussonnet , Loïc Mees , Miloš Šormaz , Patrick Jenny , Philippe M. Bardet

Coherent wave propagation in disordered media gives rise to many fascinating phenomena as diverse as universal conductance fluctuations in mesoscopic metals and speckle patterns in light scattering. Here, the theory of electromagnetic wave…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Aris L. Moustakas , Harold U. Baranger , Leon Balents , Anirvan M. Sengupta , Steven H. Simon

This paper deals with the theory of collisions between two ultracold particles with a special focus on molecules. It describes the general features of the scattering theory of two particles with internal structure, using a time-independent…

Atomic Physics · Physics 2017-03-28 Goulven Quéméner

An analytical microscopic theory for the resonant multiple scattering of light by cold atoms with arbitrary internal degeneracy is presented. It permits to calculate the average amplitude and the average intensity for one-photon states of…

Atomic Physics · Physics 2007-05-23 C. A. Mueller , C. Miniatura

We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Thomas Wellens , Benoit Gremaud

The coherent propagation of elastic waves in a solid filled with a random distribution of pinned dislocation segments is studied to all orders in perturbation theory. It is shown that, within the independent scattering approximation, the…

Materials Science · Physics 2015-05-29 Dmitry Churochkin , Felipe Barra , Fernando Lund , Agnes Maurel , Vincent Pagneux

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…

Materials Science · Physics 2009-04-29 Erik S. Thomson , Larry A. Wilen , John S. Wettlaufer

We derive transport equations for the propagation of water wave action in the presence of a static, spatially random surface drift. Using the Wigner distribution $\W(\x,\k,t)$ to represent the envelope of the wave amplitude at position $\x$…

Fluid Dynamics · Physics 2007-05-23 Guillaume Bal , Tom Chou

The propagation of light in a resonant atomic vapor can \textit{a priori} be thought of as a multiple scattering process, in which each scattering event redistributes both the direction and the frequency of the photons. Particularly, the…

Classical limit of multiple soft graviton theorem can be used to compute the angular power spectrum of long wavelength gravitational radiation in classical scattering provided the total energy carried away by the radiation is small compared…

High Energy Physics - Theory · Physics 2018-10-17 Alok Laddha , Ashoke Sen

The scattering and transformation of the waves propagating in magnetized plasma on a heavy stationary charged particle located at a plane plasma-vacuum boundary is considered. The scattering (transformation) occurs due to the nonlinear…

Plasma Physics · Physics 2015-05-27 Hrachya B. Nersisyan

We present an analysis of enhanced wave transmission through random media with mirror symmetry about a reflecting barrier. The mathematical model is the acoustic wave equation and we consider two setups, where the wave propagation is along…

Mathematical Physics · Physics 2024-01-30 Liliana Borcea , Josselin Garnier

For the rendering of multiple scattering effects in participating media, methods based on the diffusion approximation are an extremely efficient alternative to Monte Carlo path tracing. However, in sufficiently transparent regions,…

Graphics · Computer Science 2014-04-01 David Koerner , Jamie Portsmouth , Filip Sadlo , Thomas Ertl , Bernd Eberhardt

A theoretical analysis of the statistical distributions of the reflected intensities from random media is presented. We use random matrix theory to analytically deduce the probability densities in the localization regime. Numerical…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Garcia-Martin , T. Lopez-Ciudad , J. J. Saenz , M. Nieto-Vesperinas

Starting with Maxwell's equations, we derive the fundamental results of the Huygens-Fresnel-Kirchhoff and Rayleigh-Sommerfeld theories of scalar diffraction and scattering. These results are then extended to cover the case of vector…

Optics · Physics 2020-09-16 Masud Mansuripur

We study one- and two-photon scattering from a qubit embedded in a one-dimensional waveguide in the presence of modal dispersion. We use a resolvent based analysis and utilize techniques borrowed from the Lee model studies. Modal dispersion…

Quantum Physics · Physics 2016-03-16 Şükrü Ekin Kocabaş