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We obtain explicit expressions for the correlation functions of transmission and reflection coefficients of coherent electronic waves propagating through a disordered quasi-one-dimensional medium with purely elastic diffusive scattering in…

Condensed Matter · Physics 2009-10-22 A. M. S. Macedo

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

Very recent experiments have discovered that localized light in strongly absorbing media displays intriguing diffusive phenomena. Here we develop a first-principles theory of light propagation in open media with arbitrary absorption…

Optics · Physics 2013-10-30 Li-Yi Zhao , Chu-Shun Tian , Zhao-Qing Zhang , Xiang-Dong Zhang

We review recent results on the anomalous transport in one-dimensional and quasi-one-dimensional systems with bulk and surface disorder. Main attention is paid to the role of long-range correlations in random potentials for the bulk…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. M. Izrailev , N. M. Makarov

This paper provides an analysis of radio wave scattering for frequencies ranging from the microwave to the Terahertz band (e.g., 1 GHz - 1 THz), by studying the scattering power reradiated from various types of materials with different…

We study the time delay of reflected and transmitted waves in 1D disordered media with high transmission. Highly transparent and translucent random media are found in nature or can be synthetically produced. We perform numerical simulations…

Disordered Systems and Neural Networks · Physics 2022-11-30 Luis A. Razo-López , J. A. Méndez-Bermúdez , Victor A. Gopar

The reflection, transmission and absorption of a symmetric electromagnetic pulse, which carrying frequency is close to the frequency of an interband transition in a QW (QW), are obtained. The energy levels of a QW are assumed discrete, one…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. I. Korovin , I. G. Lang , D. A. Contreras-Solorio , S. T. Pavlov

Coherent control of wave transmission and reflection is crucial for applications in communication, imaging, and sensing. However, many practical scenarios involve partially coherent waves rather than fully coherent ones. We present a…

Optics · Physics 2024-08-13 Cheng Guo , Shanhui Fan

The present study focuses on the interaction of gravity waves in the atmosphere with the tropopause. As the vertical extent of the latter is small compared to the density scale height, wave propagation is described by the Taylor-Goldstein…

Atmospheric and Oceanic Physics · Physics 2018-12-21 Christopher Pütz , Mark Schlutow , Rupert Klein , Vera Bense , Peter Spichtinger

We give a detailed analysis of long range cumulative scattering effects from rough boundaries in waveguides. We assume small random fluctuations of the boundaries and obtain a quantitative statistical description of the wave field. The…

Analysis of PDEs · Mathematics 2011-11-07 Ricardo Alonso , Liliana Borcea , Josselin Garnier

Reduced transport and localization in isolated quantum systems are typically attributed to spatially-extended disorder, but may also emerge from the influence of a few controllable defects. We show here how a single defect profoundly…

Quantum Physics · Physics 2026-05-15 Anish Acharya , Luca Giuggioli , Shamik Gupta

An analytical and numerical study is presented of transmission of radiation through a multi-mode waveguide containing a random medium with a complex dielectric constant $\epsilon= \epsilon'+i\epsilon''$. Depending on the sign of…

Condensed Matter · Physics 2007-05-23 T. Sh. Misirpashaev , J. C. J. Paasschens , C. W. J. Beenakker

The scattering theory of the integrable statistical models can be generalized to the case of systems with extended lines of defect. This is done by adding the reflection and transmission amplitudes for the interactions with the line of…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo , P. Simonetti

We present a detailed discussion of scalar wave propagation and light intensity transport in three dimensional random dielectric media with optical gain. The intrinsic length and time scales of such amplifying systems are studied and…

Disordered Systems and Neural Networks · Physics 2015-05-28 R. Frank , A. Lubatsch

We develop a diffusion approximation for systems subject to fast random resetting by small amplitudes. Equivalently, this describes systems with frequent but small catastrophes. We demonstrate the validity of the approximation by computing…

Statistical Mechanics · Physics 2026-02-26 Tobias Galla

Total absorption, defined as the net flux of energy out of a bounded region averaged over one cycle for time harmonic motion, must be non-negative when there are no sources of energy within the region. This passivity condition places…

Classical Physics · Physics 2017-04-05 Andrew N. Norris

The angular and frequency correlation functions of the transmission coefficient for light propagation through a strongly scattering amplifying medium are considered. It is found that just as in the case of an elastic scattering medium the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. A. Burkov , A. Yu. Zyuzin

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

Analysis of PDEs · Mathematics 2018-12-05 Liliana Borcea , Josselin Garnier

Waves propagating through a weakly scattering random medium show a pronounced branching of the flow accompanied by the formation of freak waves, i.e., extremely intense waves. Theory predicts that this strong fluctuation regime is…

Disordered Systems and Neural Networks · Physics 2013-11-05 S. Barkhofen , J. Metzger , R. Fleischmann , U. Kuhl , H. -J. Stoeckmann

Using the transfer-matrix approach and solving time-domain differential equations, we analyze the loss compensation mechanism in multilayer systems composed of an absorbing transparent conductive oxide and dielectric doped with an active…