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We develop an effective medium approach to characterize the propagation of matter waves in periodic structures, such as graphene or semiconductor superlattices. It is proven that the time evolution of the states that are not more localized…

Materials Science · Physics 2015-06-04 Mario Silveirinha , Nader Engheta

Getting to grips with the detrimental influence of disordered environments on wave propagation is an interdisciplinary endeavour spanning diverse research areas ranging from telecommunications \cite{basar_wireless_2019} and bio-medical…

The propagation of waves in the nonlinear acoustic metamaterials (NAMs) is fundamentally different from that in the conventional linear ones. In this article we consider two one-dimensional NAM systems featuring respectively a diatomic and…

Pattern Formation and Solitons · Physics 2017-05-18 Xin Fang , Jihong Wen , Bernard Bonello , Jianfei Yin , Dianlong Yu

Light propagation through a normal medium is determined not only by the real part of the refractive index but also by its imaginary part, which represents optical gain and loss. Therefore, two media with different gain and loss landscapes…

Optics · Physics 2019-08-21 Jose Hernandez Rivero , Li Ge

Coherent propagation of two interacting particles in $1d$ weak random potential is considered. An accurate estimate of the matrix element of interaction in the basis of localized states leads to mapping onto the relevant matrix model. This…

Statistical Mechanics · Physics 2009-10-28 I. V. Ponomarev , P. G. Silvestrov

Multipath propagation of radio waves in indoor/outdoor environments shows a highly irregular behavior as a function of time. Typical modeling of this phenomenon assumes the received signal is a stochastic process composed of the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 C. Tannous , R. Davies , A. Angus

Dissipation is a ubiquitous phenomenon in dynamical systems encountered in nature because no finite system is fully isolated from its environment. In optical systems, a key challenge facing any technological application has traditionally…

Optics · Physics 2014-10-20 Konstantinos G. Makris , Li Ge , Hakan E. Tureci

We present a novel approach for simulating acoustic (pressure) wave propagation across different media separated by a diffuse interface through the use of a weak compressibility formulation. Our method builds on our previous work on an…

Numerical Analysis · Mathematics 2025-11-11 Abbas Ballout , Oscar A. Marino , Gerasimos Ntoukas , Gonzalo Rubio , Esteban Ferrer

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.…

We study solitary wave propagation in 1D granular crystals with Hertz-like interaction potentials. We consider interfaces between media with different exponents in the interaction potential. For an interface with increasing interaction…

Pattern Formation and Solitons · Physics 2019-01-01 Armin Kekić , Robert A. Van Gorder

Resonant transmission occurs when constructive interference results in the complete passage of an incoming wave through an array of barriers. In this paper we explore such a scenario with one dimensional models. We adopt wave packets with…

Quantum Physics · Physics 2023-10-11 A. M. Michalik , F. Marsiglio

This article presents the experimental characterization of nonreciprocal elastic wave transmission in a single-mode elastic waveguide. This asymmetric system is obtained by coupling a selection layer with a conversion layer: the selection…

Classical Physics · Physics 2015-12-09 Thibaut Devaux , Vincent Tournat , Olivier Richoux , Vincent Pagneux

Introduction of optical gain to a disordered system results in enhanced fluctuations [$F_{(2)}=var(\tilde{g})/< \tilde{g} >^2$] of dimensionless conductance $\tilde{g}$, similar to the effect of Anderson localization in passive medium.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexey Yamilov , Hui Cao

Space-time modulated elastic media, whose material properties vary in both space and time, have attracted significant attention as a promising strategy for achieving nonreciprocal propagation of elastic waves. To date, most studies have…

Applied Physics · Physics 2025-08-21 Yingrui Ye , Chunxia Liu , Xiaopeng Wang , Antonio Palermo

We experimentally and computationally analyze impact-shock-induced stress wave propagation in packings of disordered flexible fibers. We find that dispersive wave propagation, associated with large stress attenuation, occurs much more…

Soft Condensed Matter · Physics 2025-02-04 Peng Wang , Thomas Pähtz , Kun Luo , Yu Guo

We formally deduce closed-form expressions for the transmitted effective wavenumber of a material comprising multiple types of inclusions or particles (multi-species), dispersed in a uniform background medium. The expressions, derived here…

Classical Physics · Physics 2018-05-09 Artur L. Gower , Michael J. A. Smith , William J. Parnell , Ian David Abrahams

We analyze the propagation properties of the numerical versions of one and two-dimensional wave equations, semi-discretized in space by finite difference schemes. We focus on high-frequency solutions whose propagation can be described, both…

Analysis of PDEs · Mathematics 2018-06-26 Umberto Biccari , Aurora Marica , Enrique Zuazua

A new mechanism of Bragg reflection is identified, one that, remarkably, occurs in a uniform medium and relies on resonant tuning of the medium's parameters. Due to uniformity, reflection ensues over a broad wavelength range, much like a…

Optics · Physics 2023-03-22 Martin W. McCall , Stefanos Fr. Koufidis

We study the propagation of radiation through a disordered waveguide with a complex dielectric constant $\epsilon$, and show that dual systems, which differ only in the sign of the imaginary part of $\epsilon$, have the same localization…

Condensed Matter · Physics 2008-02-03 J. C. J. Paasschens , T. Sh. Misirpashaev , C. W. J. Beenakker

We study local and nonlocal correlations of light transmitted through active random media. The conventional approach results in divergence of ensemble averaged correlation functions due to existence of lasing realizations. We introduce…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexey Yamilov , Shih-Hui Chang , Aleksander Burin , Allen Taflove , Hui Cao