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We study the diffusion of monochromatic classical waves in a disordered acoustic medium by scattering theory. In order to avoid artifacts associated with mathematical point scatterers, we model the randomness by small but finite insertions.…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sijmen Gerritsen , Gerrit E. W. Bauer

The distribution function for the intensity of radiation propagating in a random medium is analyzed for arbitrary multiplicity of scattering (for arbitrary relation between the distance of propagation and mean free path), including as…

Condensed Matter · Physics 2007-05-23 Eugene Kogan , Moshe Kaveh

We present a theory of electron, electromagnetic, and elastic wave propagation in systems consisting of non-overlapping scatterers in a host medium. The theory provides a framework for a unified description of wave propagation in…

Condensed Matter · Physics 2009-11-07 A. Modinos , N. Stefanou , I. E. Psarobas , V. Yannopapas

A tutorial discussion of the propagation of waves in random media is presented. In first approximation the transport of the multiple scattered waves is given by diffusion theory, but important corrections are present. These corrections are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. C. W. van Rossum , Th. M. Nieuwenhuizen

In this paper, we discuss the transport phenomena of electromagnetic waves in a two-dimensional random system which is composed of arrays of electrical dipoles, following the model presented earlier by Erdogan, et al. (J. Opt. Soc. Am. B…

Soft Condensed Matter · Physics 2009-11-10 Ken Wang , Zhen Ye

This article is the first one in a series of two dealing with the concept of "resonant metalens" we recently introduced [Phys. Rev. Lett. 104, 203901 (2010)]. Here, we focus on the physics of a medium with finite dimensions consisting on a…

Optics · Physics 2016-06-29 Fabrice Lemoult , Geoffroy Lerosey , Mathias Fink

We rigorously compute the propagation and scattering of microwaves by regular and defected arrays of dielectric cylinders in a uniform medium. Comparison with the previous experimental results is made, yielding agreements in the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bikash C. Gupta , Zhen Ye

Diffuse scattering is usually associated with some disorder in the analyzed material. Different kinds of disorder may produce different diffuse scattering -- or not. In this letter, we demonstrate some aspects of the variety of diffuse…

Mathematical Physics · Physics 2019-07-16 Moritz Hoeffe , Michael Baake

Optical beam propagation in random media is characterized by familiar speckle patterns generated by intricate interference effects. Such patterns may be modified and possibly attenuated for partially coherent incident beam profiles. In the…

Analysis of PDEs · Mathematics 2025-08-19 Guillaume Bal , Anjali Nair

In this paper, the capacity of wireless channels is characterized based on electromagnetic and antenna theories with only minimal assumptions. We assume the transmitter can generate an arbitrary current distribution inside a spherical…

Information Theory · Computer Science 2016-11-17 Wonseok Jeon , Sae-Young Chung

Acoustic propagation and scattering in water containing many parallel air-filled cylinders is studied. Two situations are considered and compared: (1) wave propagating through the array of cylinders, imitating a traditional experimental…

Disordered Systems and Neural Networks · Physics 2016-08-31 Yu-Yu Chen , Zhen Ye

We provide an introduction to complex photonic media, that is, composite materials with spatial inhomogeneities that are distributed over length scales comparable to or smaller than the wavelength of light. This blossoming field is firmly…

Optics · Physics 2015-04-28 Willem L. Vos , Ad Lagendijk , Allard P. Mosk

The diffusion model is used to calculate the time-averaged flow of particles in stochastic media and the propagation of waves averaged over ensembles of disordered static configurations. For classical waves exciting static disordered…

Disordered Systems and Neural Networks · Physics 2024-01-11 Azriel Z. Genack , Yiming Huang , Asher Maor , Zhou Shi

The disturbance of the transmission of light through a diffusive medium due to an object hidden in it can be expressed in terms of an effective charge and dipole moment. In the mesoscopic regime, beyond the diffusion approximation, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 David Lancaster , Theo Nieuwenhuizen

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…

Disordered Systems and Neural Networks · Physics 2014-03-05 Tomas Svensson , Kevin Vynck , Erik Adolfsson , Andrea Farina , Antonio Pifferi , Diederik S. Wiersma

In this work, we theoretically study temporal interfaces between media with strong spatial dispersion and dielectrics. In particular, we consider a temporal discontinuity that transforms a wire medium sample, a metamaterial with resonant…

We obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities, x,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gabriel A. Cwilich , Fredy R. Zypman

While controlling particle diffusion in a confined geometry is a popular approach taken by both natural and artificial systems, it has not been widely adopted for controlling light transport in random media, where wave interference effects…

Optics · Physics 2016-01-06 Raktim Sarma , Alexey Yamilov , Seng Fatt Liew , Mikhael Guy , Hui Cao

Recent experiments have demonstrated that it is possible to alter the dispersion of a medium without significantly altering its absorption or refractive index and that this may be done while a wave propagates through the medium. This…

Optics · Physics 2010-06-10 Douglas H. Bradshaw , Michael D. Di Rosa

A dynamical effect of coherent backscattering is predicted theoretically and supported by computer simulations: The distribution of single-mode delay times of waves reflected by a disordered waveguide depends on whether the incident and…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Schomerus , K. J. H. van Bemmel , C. W. J. Beenakker
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