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Spatial intensity correlations between waves transmitted through random media are analyzed within the framework of the random matrix theory of transport. Assuming that the statistical distribution of transfer matrices is isotropic, we found…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gabriel Cwilich , Luis S. Froufe-Perez , Juan Jose Saenz

We consider the intensity pattern, generated by a monochromatic source, in a disordered cavity coupled to the environment. For weak coupling, and when the source frequency is tuned to a resonance, the intensity distribution is close to…

Condensed Matter · Physics 2009-10-28 R. Pnini , B. Shapiro

A transmission amplitude is considered for quantum or wave transport mediated by a single resonance coupled to the background of many chaotic states. Such a model provides a useful approach to quantify fluctuations in an established signal…

Mesoscale and Nanoscale Physics · Physics 2018-06-06 Dmitry V. Savin

We consider the information content h of a scalar multiple-scattered, diffuse wave field $\psi(\vec{r})$ and the information capacity C of a communication channel that employs diffuse waves to transfer the information through a disordered…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov

Measurements have been made of the probability distribution of total transmission of microwave radiation in waveguides filled with randomly positioned scatterers which would have values of the dimensionless conductance g near unity. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Stoytchev , A. Z. Genack

The statistical theory of certain complex wave interference phenomena, like the statistical fluctuations of transmission and reflection of waves, is of considerable interest in many fields of physics. In this article we shall be mainly…

Disordered Systems and Neural Networks · Physics 2016-08-16 P. A. Mello , M. Yépez , L. S. Froufe , J. J. Sáenz

We study the problem of wave transport in a one-dimensional disordered system, where the scatterers of the chain are $n$ barriers and wells with statistically independent intensities and with a spatial extension $\l_c$ which may contain an…

Disordered Systems and Neural Networks · Physics 2015-05-20 Marlos Diaz , Pier A. Mello , Miztli Yepez , Steven Tomsovic

The propagation of light through samples with random inhomogeneities can be described by way of transmission eigenchannels, which connect incoming and outgoing external propagating modes. Although the detailed structure of a disordered…

Disordered Systems and Neural Networks · Physics 2014-04-18 A. Peña , A. Girschik , F. Libisch , S. Rotter , A. A. Chabanov

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

Using the transfer matrix technique, we investigate the propagation of electron through a two dimensional disordered sample. We find that the spatial distribution of electrons is homogeneous only in the limit of weak disorder (diffusive…

Disordered Systems and Neural Networks · Physics 2010-09-28 P. Markos

We follow the evolution with sample thickness, of intensity statistics for localized light transmitted through layered media in a crossover from one to three dimensions occasioned by transverse disorder. The probability distribution of…

Disordered Systems and Neural Networks · Physics 2013-05-29 Jongchul Park , Sheng Zhang , Azriel Z. Genack

We present two complementary simulations that lead to an exploration of Anderson localization, a phenomenon in which wave diffusion is suppressed in disordered media by interference from multiple scattering. To build intuition, the first…

Disordered Systems and Neural Networks · Physics 2026-01-06 Jake S. Bobowski

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

Using the supersymmetric method of random matrix theory within the Heidelberg approach framework we provide statistical description of stationary intensity sampled in locations inside an open wave-chaotic cavity, assuming that the…

Disordered Systems and Neural Networks · Physics 2023-10-16 Yan V. Fyodorov , Elizaveta Safonova

The transmissivity of a one-dimensional random system that is periodic on average is studied. It is shown that the transmission coefficient for frequencies corresponding to a gap in the band structure of the average periodic system…

Condensed Matter · Physics 2009-10-28 V. D. Freilikher , A. A. Maradudin , A. R. McGurn , B. A. Liansky , I. V. Yurkevich

We study the random fluctuations of the transmission in disordered quasi-one-dimensional systems such as disordered waveguides and/or quantum wires whose random configurations of disorder are characterized by density distributions with a…

Disordered Systems and Neural Networks · Physics 2018-01-03 Ilias Amanatidis , Ioannis Kleftogiannis , Fernando Falceto , Víctor A. Gopar

The diffusion of electronic wave packets in one-dimensional systems with on-site, binary disorder is numerically investigated within the framework of a single-band tight-binding model. Fractal properties are incorporated by assuming that…

Disordered Systems and Neural Networks · Physics 2008-07-07 P. R. Wells , J. d'Albuquerque e Castro , S. L. A. de Queiroz

Effect of weak disorder on tunneling through a potential barrier is studied analytically. A diagrammatic approach based on the specific behavior of subbarrier wave functions is developed. The problem is shown to be equivalent to that of…

Condensed Matter · Physics 2009-10-28 V. Freilikher , M. Pustilnik , I. Yurkevich

A wave packet undergoes a strong spatial and temporal dispersion while propagating through a complex medium. This wave scattering is often seen as a nightmare in wave physics whether it be for focusing, imaging or communication purposes.…

The propagation of light through a disordered layered system is studied. It is shown that distribution function of the transmission coefficient phase tends to stationary non-uniform distribution as the number of layers increases. The…

Disordered Systems and Neural Networks · Physics 2022-05-17 Roman S. Puzko , Alexander M. Merzlikin