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We review recent developments on quantum scattering from mesoscopic systems. Various spatial geometries whose closed analogs shows diffusive, localized or critical behavior are considered. These are features that cannot be described by the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tsampikos Kottos

We study the effect of diluted flexible polymers on a disordered capillary wave state. The waves are generated at an interface of a dyed water sugar solution and a low viscous silicon oil. This allows for a quantitative measurement of the…

Fluid Dynamics · Physics 2009-11-11 A. V. Kityk , C. Wagner

We study transmission and reflection properties of a perfectly amplifying as well as absorbing medium analytically by using the tight binding equation. Different expressions for transmittance and reflectance are obtained for even and odd…

Condensed Matter · Physics 2009-10-31 P. K. Datta

We investigate the low-frequency dynamics for transmission or reflection of a wave by a cavity with chaotic scattering. We compute the probability distribution of the phase derivative phi'=d phi/d omega of the scattered wave amplitude,…

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

We study the propagation of waves in a medium in which the wave velocity fluctuates randomly in time. We prove that at long times, the statistical distribution of the wave energy is log-normal, with the average energy growing exponentially.…

Disordered Systems and Neural Networks · Physics 2021-09-01 R. Carminati , H. Chen , R. Pierrat , B. Shapiro

Terahertz frequencies are an untapped resource for providing high-speed short-range communications. As a result, it is of interest to study the propagation characteristics of terahertz waves and to develop channel models. In previous work…

Signal Processing · Electrical Eng. & Systems 2022-10-17 Thanh Le , Ha Tran , Suresh Singh

Considering the complex reflection amplitude R=|R|exp(i{\theta}) of a light wave, real delay time {\tau}_r (i.e., sojourn or Wigner delay time), which is the energy derivative of the real phase ({\tau}_r =d{\theta}/cdk), and complex delay…

Optics · Physics 2017-01-03 Prabhakar Pradhan , Peeyush Sahay , Huda M. Almabadi

Reflectionless potentials following the prescription of Kay and Moses allow for total transmission of incoming waves of any kinetic energy. The optical analogue of such potentials occur as dielectric stratified media that can offer null…

The limits of flexural wave absorption by open lossy resonators are analytically and numerically reported in this work for both the reflection and transmission problems. An experimental validation for the reflection problem is presented.…

Applied Physics · Physics 2019-05-22 J. Leng , F. Gautier , A. Pelat , R. Picó , J. -P. Groby , V. Romero-García

We present a numerical study on the light transport properties and statistics of transmission channels in random media with inhomogeneous disorder. For the case of longitudinal inhomogeneity of disorder we find that the statistics of the…

Optics · Physics 2017-03-22 Yuchen Xu , Hao Zhang , Yujun Lin , Heyuan Zhu

We study inelastic resonant scattering of a Gaussian wave packet with the parameters close to a zero of the complex scattering coefficient. We demonstrate, both theoretically and experimentally, that such near-zero scattering can result in…

Time modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity, without resorting to non-linear mechanisms. Most of the…

Mathematical Physics · Physics 2025-07-25 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

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

Gene expression time delays, modelling the complex biological processes of gene transcription and translation, have been shown to play an important role in cellular dynamics. Time delays, motivated by the gene expression process, can also…

Cell Behavior · Quantitative Biology 2022-02-24 Alec Sargood

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

Delay constrained linear transmission (LT) strategies are considered for the transmission of composite Gaussian measurements over an additive white Gaussian noise fading channel under an average power constraint. If the channel state…

Information Theory · Computer Science 2016-11-15 Onur Tan , Deniz Gunduz , Jesus Gomez Vilardebo

We analytically study the linear propagation of arbitrarily shaped light-pulses through an absorbing medium with a narrow transparency-window or through a resonant amplifying medium. We point out that, under certain general conditions, the…

Optics · Physics 2012-09-14 Bruno Macke , Bernard Ségard

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

Recently we studied communication delay in distributed control of untimed discrete-event systems based on supervisor localization. We proposed a property called delay-robustness: the overall system behavior controlled by distributed…

Systems and Control · Computer Science 2017-05-02 Renyuan Zhang , Kai Cai , Yongmei Gan , W. M. Wonham

The Doppler effects for the reflected wave from a moving media are systemically analyzed in this paper. The theoretical formula for the Doppler shift in the left-handed material, which is described by Drude's dispersion model, is presented.…

Optics · Physics 2007-05-23 Sanshui Xiao , Min Qiu
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