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Incompressibility is established for three-dimensional and two-dimensional deformations of an anisotropic linearly elastic material, as conditions to be satisfied by the elastic compliances. These conditions make it straightforward to…

Soft Condensed Matter · Physics 2013-05-23 Michel Destrade , Paul A. Martin , Tom C. T. Ting

Since the early works[1-4] on the so-called nondiffracting waves (called also Localized Waves), a great deal of results has been published on this important subject, from both the theoretical and the experimental point of view. Initially,…

General Physics · Physics 2010-01-31 Michel Zamboni-Rached , Erasmo Recami , Hugo E. Hernandez-Figueroa

We present a generalized formalism to describe the optical energy flow and spatially resolved absorption in arbitrarily anisotropic layered structures. The algorithm is capable of treating any number of layers of arbitrarily anisotropic,…

Modified scattering phenomena are encountered in the study of global properties for nonlinear dispersive partial differential equations in situations where the decay of solutions at infinity is borderline and scattering fails just barely.…

Analysis of PDEs · Mathematics 2022-12-21 Mihaela Ifrim , Daniel Tataru

In this paper, we consider acoustic or electromagnetic scattering in two dimensions from an infinite three-layer medium with thousands of wavelength-size dielectric particles embedded in the middle layer. Such geometries are typical of…

Numerical Analysis · Mathematics 2015-06-22 Jun Lai , Motoki Kobayashi , Leslie Greengard

We propose a general method to arbitrarily manipulate an electromagnetic wave propagating in a two-dimensional medium, without introducing any scattering. This leads to a whole class of isotropic spatially varying permittivity and…

This paper is concerned with acoustic scattering from a sound-soft trapezoidal surface in two dimensions. The trapezoidal surface is supposed to consist of two horizontal half-lines pointing oppositely, and a single finite vertical line…

Numerical Analysis · Mathematics 2019-03-19 Wangtao Lu , Guanghui Hu

Surface-consistent deconvolution is a standard processing technique in land data to uniformize the wavelet across all sources and receivers. The required wavelet estimation step is generally done in the homomorphic domain since this is a…

Information Theory · Computer Science 2012-09-18 Roberto H. Herrera , Mirko van der Baan

An isotropic elastic half space is prestrained so that two of the principal axes of strain lie in the bounding plane, which itself remains free of traction. The material is subject to an isotropic constraint of arbitrary nature. A surface…

Soft Condensed Matter · Physics 2013-04-26 Michel Destrade , Nigel H. Scott

We investigate in this work the wave characteristics and homogenization theory of soft matter layered structure in the limit of low-frequency P-wave. Using the method of potentials, we derive closed-form dispersion relationship and identify…

Soft Condensed Matter · Physics 2025-04-22 Rui. Guo , Kai Zhang , Nicholas X. Fang

Acoustic propagation models are widely used in numerous oceanic and other underwater applications. Most conventional models are approximate solutions of the acoustic wave equation, and require accurate environmental knowledge to be…

Sound · Computer Science 2023-08-25 Kexin Li , Mandar Chitre

It is shown that spatially periodic one-dimensional surface waves in shallow water behave almost linearly, provided large part of the energy is contained in sufficiently high frequencies. The amplitude is not required to be small (apart…

Fluid Dynamics · Physics 2010-02-22 M. B. Erdogan , N. Tzirakis , V. Zharnitsky

We found universal anizopropic spectra of acoustic turbulence with the linear dispersion law \bbox{$\omega (k) =ck$} within the framework of generalized kinetic equation which takes into account the finite time of three-wave interactions.…

chao-dyn · Physics 2009-10-31 V. S L'vov , Yu. V. L'vov , A. Pomyalov

Irregular terrain has a pronounced effect on the propagation of seismic and acoustic wavefields but is not straightforwardly reconciled with structured finite-difference (FD) methods used to model such phenomena. Methods currently detailed…

Numerical Analysis · Mathematics 2023-09-08 Edward Caunt , Rhodri Nelson , Fabio Luporini , Gerard Gorman

The asymptotic behavior of the molecular continuum wave function has been analyzed within a model of non-overlapping atomic potentials. It is been shown that the representation of the wave function far from a molecule as a plane wave and…

Atomic Physics · Physics 2007-06-12 A. S. Baltenkov

Invisibility cloaking in acoustic scattering via the approach of transformation optics is considered. The near-cloaks of both passive medium and active/radiating object are investigated. From a practical viewpoint, we are especially…

Analysis of PDEs · Mathematics 2012-11-12 Hongyu Liu

We study theoretically the piezoelectric interaction of a surface acoustic wave (SAW) with a two-dimensional electron gas confined to an isolated quantum dot. The electron motion in the dot is diffusive. The electron-electron interaction is…

Condensed Matter · Physics 2008-02-03 Andreas Knaebchen , Yehoshua Levinson , Ora Entin-Wohlman

A mechanism for asymmetric (nonreciprocal) wave transmission is presented. As a reference system, we consider a layered nonlinear, non mirror-symmetric model described by the one-dimensional Discrete Nonlinear Schreodinger equation with…

Pattern Formation and Solitons · Physics 2012-04-12 Stefano Lepri , Giulio Casati

In an effective medium description of acoustic metamaterials, the Willis coupling plays the same role as the bianisotropy in electromagnetism. Willis media can be described by a constitutive matrix composed of the classical effective bulk…

A major limitation of the weakly compressible approaches to simulate incompressible flows is the appearance of artificial acoustic waves that introduce a large mass conservation error and lead to spurious oscillations in the force…

Fluid Dynamics · Physics 2024-09-12 Dheeraj Raghunathan , Y. Sudhakar
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