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Elastic wave propagation is intrinsically sensitive to the mechanical properties of the medium through which it travels. In soft elastomers, this makes guided elastic waves natural probes of viscoelastic and acoustoelastic behavior over a…

Soft Condensed Matter · Physics 2026-05-01 Samuel Croquette , Pierre Chantelot , Daniel A. Kiefer , Claire Prada , Fabrice Lemoult

The study of the possibility of existence of the non-propagating, trapped continental shelf waves (CSWs)along curved coasts reduces mathematically to a spectral problem for a self-adjoint operator pencil in a curved strip. Using the methods…

Spectral Theory · Mathematics 2007-05-23 E R Johnson , Michael Levitin , Leonid Parnovski

This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the…

Disordered Systems and Neural Networks · Physics 2012-05-15 F. M. Izrailev , A. A. Krokhin , N. M. Makarov

We study the localization properties of normal modes in harmonic chains with mass and spring weak disorder. Using a perturbative approach, an expression for the localization length is obtained, which is valid for arbitrary correlations of…

Disordered Systems and Neural Networks · Physics 2023-03-09 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

We investigate a wireless network localization scenario in which the need for synchronized nodes is avoided. It consists of a set of fixed anchor nodes transmitting according to a given sequence and a self-localizing receiver node. The…

Statistics Theory · Mathematics 2013-04-24 Dave Zachariah , Alessio De Angelis , Satyam Dwivedi , Peter Händel

Surface acoustic wave (SAW) based sensors for applications to gaseous environments have been widely investigated since the last 1970s. More recently, the SAW-based sensors focus has shifted towards liquid-phase sensing applications: the SAW…

Applied Physics · Physics 2019-01-11 C. Caliendo , M. Hamidullah

We consider waveguides formed by single or multiple two-dimensional chaotic cavities connected to leads. The cavities are chaotic in the sense that the ray (or equivalently, classical particle) dynamics within them is chaotic. Geometrical…

In underwater acoustic waveguides a pressure field can be decomposed over three kinds of modes: the propagating modes, the radiating modes and the evanescent modes. In this paper, we analyze the effects produced by a randomly perturbed free…

Analysis of PDEs · Mathematics 2013-11-19 Christophe Gomez

We describe traveling waves in a basic model for three-dimensional water-wave dynamics in the weakly nonlinear long-wave regime. Small solutions that are periodic in the direction of translation (or orthogonal to it) form an…

Pattern Formation and Solitons · Physics 2015-06-26 Robert L. Pego , Jose Raul Quintero

We theoretically investigate excitation dynamics in one-dimensional arrays of quantum emitters coupled to a waveguide, focusing on localization and long-time population trapping. By combining time-domain simulations with spectral analysis…

Quantum Physics · Physics 2025-11-05 C. -Y. Lee , K. -T. Lin , G. -D. Lin , H. H. Jen

This paper addresses source localization problem in a random shallow water channel. We present an extension of the generalized MUSIC method to the case, %in which when the signal correlation matrix is imprecisely known. The algorithm is…

Atmospheric and Oceanic Physics · Physics 2014-10-29 Alexander Sazontov , Ivan Smirnov , Alexander Matveyev

Programmable materials hold great potential for many applications such as deployable structures, soft robotics, and wave control, however, the presence of instability and disorder might hinder their utilization. Through a combination of…

Soft Condensed Matter · Physics 2021-10-26 Audrey A. Watkins , Austin Eichelberg , Osama R. Bilal

This paper presents an analytical approach of the propagation of an acoustic wave through a normally distributed disordered lattice made up of Helmholtz resonators connected to a cylindrical duct. This approach allows to determine…

Classical Physics · Physics 2009-02-06 Olivier Richoux , E. Morand , L. Simon

We introduce a new wave phenomenon, which can be observed in continuum and discrete systems, where a trapped mode exists under certain conditions, namely, the anti-localization of non-stationary linear waves. This is zeroing of the…

Classical Physics · Physics 2025-12-17 Ekaterina V. Shishkina , Serge N. Gavrilov , Yulia A. Mochalova

When light waves propagate through disordered photonic lattices, they can eventually become localized due to multiple scattering effects. Here we show experimentally that while the evolution and localization of the photon density…

Disordered Systems and Neural Networks · Physics 2015-05-27 Y. Lahini , Y. Bromberg , Y. Shechtman , A. Szameit , D. N. Christodoulides , R. Morandotti , Y. Silberberg

This is a study of phase-coherent conduction through a ballistic point contact with disordered leads. The disorder imposes mesoscopic (sample-to-sample) fluctuations and weak-localization corrections on the conductance, and also leads to…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker , J. A. Melsen

The modulational instability of waves in a medium under the action of an external monochromatic force and dissipation is considered. The model which describes the nonlinear stage of the modulation instability was constructed with using…

Pattern Formation and Solitons · Physics 2012-11-29 Evgeny Belkin , Alexander Kirichok , Vladimir Kuklin

Wave propagation control is of fundamental interest in many areas of Physics. It can be achieved with wavelength-scaled photonic crystals, hence avoiding low frequency applications. By contrast, metamaterials are structured on a…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Simon Yves , Thomas Berthelot , Geoffroy Lerosey , Fabrice Lemoult

Traveling wave theory is deployed today to improve the monitoring of transmission lines in electrical power grids. Most traveling wave methods require prior knowledge of the wave propagation of the transmission line, which is a major source…

Signal Processing · Electrical Eng. & Systems 2024-04-17 Marko Hudomalj , Andrej Trost , Andrej Čampa

We study the diffusive motion of low-energy normal quasiparticles along the core of a single vortex in a dirty, type-II, s-wave superconductor. The physics of this system is argued to be described by a one-dimensional supersymmetric…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Bundschuh , C. Cassanello , D. Serban , M. R. Zirnbauer