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We study long range propagation of electromagnetic waves in random waveguides with rectangular cross-section and perfectly conducting boundaries. The waveguide is filled with an isotropic linear dielectric material, with randomly…

Mathematical Physics · Physics 2013-10-21 Ricardo Alonso , Liliana Borcea

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…

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

We establish a comprehensive probability theory for coherent transport of random waves through arbitrary linear media. The transmissivity distribution for random coherent waves is a fundamental B-spline with knots at the transmission…

Optics · Physics 2025-11-07 Yunrui Wang , Cheng Guo

Traditional channel capacity based on the discrete spatial dimensions mismatches the continuous electromagnetic fields. For the wireless communication system in a limited region, the spatial discretization may results in information loss…

Information Theory · Computer Science 2023-02-21 Zhongzhichao Wan , Jieao Zhu , Zijian Zhang , Linglong Dai , Chan-Byoung Chae

A transport theory for atomic matter waves in low-dimensional waveguides is outlined. The thermal fluctuation spectrum of magnetic near fields leaking out of metallic microstructures is estimated. The corresponding scattering rate for…

Quantum Physics · Physics 2015-06-26 C. Henkel , S. Potting

The propagation of a narrow-band signal radiated by a point source in a randomly layered absorbing medium is studied asymptotically in the weak-scattering limit. It is shown that in a disordered stratified medium that is homogeneous on…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. D. Freilikher , Yu. V. Tarasov

Microwave transport experiments have been performed in a quasi-two-dimensional resonator with randomly distributed scatterers, each mimicking an $r^{-2}$ repulsive potential. Analysis of both stationary wave fields and transient transport…

Disordered Systems and Neural Networks · Physics 2010-03-09 R. Hoehmann , U. Kuhl , H. -J. Stoeckmann , L. Kaplan , E. J. Heller

We investigate the statistical properties of the scattering matrix $S$ describing the electron transport through quasi-one dimensional disordered systems. For weak disorder (metallic regime), the energy dependence of the phase shifts of $S$…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 E. R. Mucciolo , R. A. Jalabert , J. -L. Pichard

Results of numerical simulation of the weak localization in two-dimensional systems in wide range of magnetic filed are presented. Three cases are analyzed: (i) the isotropic scattering and randomly distributed scatterers; (ii) the…

Disordered Systems and Neural Networks · Physics 2008-12-02 A. V. Germanenko , G. M. Minkov , A. A. Sherstobitov , O. E. Rut

The measured distribution of the single-channel delay time of localized microwave radiation and its correlation with intensity differ sharply from the behavior of diffusive waves. The delay time is found to increase with intensity, while…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. A. Chabanov , A. Z. Genack

Spin and charge-current dynamics after ultrafast spin-polarized excitation in a normal metal are studied theoretically using a wave-diffusion theory. It is shown analytically how this macroscopic approach correctly describes the ballistic…

Materials Science · Physics 2011-11-22 Steffen Kaltenborn , Yao-Hui Zhu , Hans Christian Schneider

This paper presents an analytical study of the coexistence of different transport regimes in quasi-one-dimensional surface-disordered waveguides (or electron conductors). To elucidate main features of surface scattering, the case of two…

Statistical Mechanics · Physics 2015-05-20 M. Rendón , N. M. Makarov , F. M. Izrailev

In our previous publication [Kogan et al, Phys. Rev. {\bf 48}, 9404 (1993)] we considered the issue of statistics of radiation diffusively propagating in a disordered medium. The consideration was in the framework of diagrammatic techniques…

Condensed Matter · Physics 2009-10-22 Eugene Kogan , Moshe Kaveh

Several studies demonstrate that there are critical differences between real wireless networks and simulation models. This finding has permitted to extract spatial and temporal properties for links and to provide efficient methods as biased…

Networking and Internet Architecture · Computer Science 2012-07-12 Mohamed-Haykel Zayani , Vincent Gauthier , Djamal Zeghlache

This work presents results of ab-initio simulations of continuous wave transport in disordered absorbing waveguides. Wave interference effects cause deviations from diffusive picture of wave transport and make the diffusion coefficient…

Optics · Physics 2013-05-07 Alexey G. Yamilov , Ben Payne

We study the propagation of sound waves in a three-dimensional, infinite ambient flow with weak random fluctuations of the mean particle velocity and speed of sound. We more particularly address the regime where the acoustic wavelengths are…

Mathematical Physics · Physics 2021-09-03 Jean-Luc Akian , Éric Savin

We present a theoretical study of frequency correlations of light backscattered from a random scattering medium. This statistical quantity provides insight into the dynamics of multiple scattering processes accessible both, in theoretical…

Optics · Physics 2015-06-23 Angelika Knothe , Thomas Wellens

We have measured pulsed microwave transmission through quasi-1D samples with lengths up to three localization lengths. For times approaching four times the diffusion time \tau_D, transmission is diffusive in accord with the self-consistent…

Disordered Systems and Neural Networks · Physics 2008-03-15 Z. Q. Zhang , A. A. Chabanov , S. K. Cheung , C. H. Wong , A. Z. Genack

Heterogeneous media constitute random disordered environments where transport is drastically hindered. Employing extensive molecular dynamics simulations, we investigate the spatio-temporal dynamics of tracer particles in the Lorentz model…

Statistical Mechanics · Physics 2013-02-14 Markus Spanner , Simon K. Schnyder , Felix Höfling , Thomas Voigtmann , Thomas Franosch
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