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The theory of acoustic wave scattering by many small bodies is developed for bodies with impedance boundary condition. It is shown that if one embeds many small particles in a bounded domain, filled with a known material, then one can…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

This survey covers the mathematical theory of steady water waves with an emphasis on topics that are at the forefront of current research. These areas include: variational characterizations of traveling water waves; analytical and numerical…

We show that in order to guide waves, it is sufficient to periodically truncate their edges. The modes supported by this type of wave guide propagate freely between the slits, and the propagation pattern repeats itself. We experimentally…

Some recent papers proposed the use of the satellite images of Google Earth in teaching physics, in particular to see some behaviours of waves. Reflection, refraction, diffraction and interference are easy to be found in these satellite…

Popular Physics · Physics 2012-02-28 Amelia Carolina Sparavigna

Recently, it was shown that surface electromagnetic waves at interfaces between continuous homogeneous media (e.g., surface plasmon-polaritons at metal-dielectric interfaces) have a topological origin [K. Y. Bliokh et al., Nat. Commun. 10,…

Classical Physics · Physics 2019-08-06 Konstantin Y. Bliokh , Franco Nori

We considered the wave propagation between two medias. For description of physical model choose nonlinear Schredinger equation with saturation parameter. The solutions of respectively equation are found and analyzed.

Pattern Formation and Solitons · Physics 2007-05-23 Dmitry Levko

Molecular dynamical (MD) simulations are performed to simulate two dimensional vibrofluidized granular materials in this work. Statistics on simulation results indicate that there exist shocks propagating upward in each vibrating cycle.…

Soft Condensed Matter · Physics 2007-05-23 Kai Huang , Guoqing Miao , Peng Zhang , Yifei Zhu , Rongjue Wei

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

Dispersive shock waves are fascinating phenomena occurring when nonlinearity overwhelms linear effects, such as dispersion and diffraction. Many features of shock waves are still under investigation, as the interplay with noninstantaneity…

Wave propagation on the surface of a material contains information about physical properties beneath its surface. We propose a method for inferring the thickness and stiffness of a structure from just a video of waves on its surface. Our…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Alexander C. Ogren , Berthy T. Feng , Jihoon Ahn , Katherine L. Bouman , Chiara Daraio

This paper is concerned with two-dimensional, steady, periodic water waves propagating at the free surface of water in a flow of constant vorticity over an impermeable flat bed. The motion of these waves is assumed to be governed both by…

Analysis of PDEs · Mathematics 2014-04-23 Peter de Boeck

Refractive gravitational waves are a generalisation of impulsive waves on a null hypersurface in which the metric is discontinuous but a weaker continuity condition for areas holds. A simple example of a plane wave is examined in detail and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John W. Barrett

Metasurfaces are promising two-dimensional metamaterials that are engineered to provide unique properties or functionalities absent in naturally occurring homogeneous surfaces. Here, we report a type of metasurface for tailored…

Optics · Physics 2014-05-21 Jiao Lin , Qian Wang , Guanghui Yuan , Luping Du , Shan Shan Kou , Xiao-Cong Yuan

The future of mobile communications looks exciting with the potential new use cases and challenging requirements of future 6th generation (6G) and beyond wireless networks. Since the beginning of the modern era of wireless communications,…

Signal Processing · Electrical Eng. & Systems 2019-07-23 Ertugrul Basar , Marco Di Renzo , Julien de Rosny , Merouane Debbah , Mohamed-Slim Alouini , Rui Zhang

Modern day studies of wind-driven sea waves are usually focused on wind forcing rather than on the effect of resonant nonlinear wave interactions. The authors assume that these effects are dominating and propose a simple relationship…

Atmospheric and Oceanic Physics · Physics 2016-07-20 Vladimir E. Zakharov , Sergei I. Badulin , Paul A. Hwang , Guillemette Caulliez

As a substitute for the current hypothesis of space-time continuity, we show the nature and the characteristics of a Schild's discrete space-time. With the wave perturbations of its metrical structure we formulate the working hypothesis…

Quantum Physics · Physics 2007-05-23 Walter E. R. Cassani

The planar interface of a metal and a hyperbolic, dielectric, structurally chiral material can support the propagation of none, one, or multiple surface-plasmon-polariton (SPP) waves, at a specified frequency and along a specified direction…

Optics · Physics 2014-06-23 Akhlesh Lakhtakia , Muhammad Faryad

Scientists have observed and studied diffusive waves in contexts as disparate as population genetics and cell signaling. Often, these waves are propagated by discrete entities or agents, such as individual cells in the case of cell…

Pattern Formation and Solitons · Physics 2021-07-21 Paul Dieterle , Ariel Amir

The propagation of an acoustic wave through two-phase porous media with spatial variation in porosity is studied. The evolutionary wave equation is derived, and the propagation of an acoustic wave is numerically analyzed in application to…

Soft Condensed Matter · Physics 2015-03-20 J. I. Osypik , N. I. Pushkina , Ya. M. Zhileikin

An experimental validation of theoretical models of transmission of regular water waves by large arrays of floating disks is presented. The experiments are conducted in a wave basin. The models are based on combined potential-flow and…

Fluid Dynamics · Physics 2014-03-18 Luke Bennetts , Timothy Williams
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