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Propagation of P and SV waves in an elastic solid containing randomly distributed inclusions in a half-space is investigated. The approach is based on a multiple scattering analysis similar to the one proposed by Fikioris and Waterman for…

数学物理 · 物理学 2011-02-07 Jean-Marc Conoir , Andrew N. Norris

The propagation of acoustic waves in a poro-elastic medium of infinite extension containing spherical cavities randomly distributed is investigated. The scattering coefficients are computed in the low frequency limit using the sealed pore…

流体动力学 · 物理学 2022-06-15 Dossou Gnadjro , Amah D'Almeida , Hervé Franklin

In the context of elastic wave propagation in damaged solids, an analytical approach for scattering of antiplane waves by two-dimensional periodic arrays of cracks is developed. Before considering the study of arrays of cracks, the…

材料科学 · 物理学 2013-02-07 Mihai Caleap

Scattering by (a) a single composite scatterer consisting of a concentric arrangement of an outer N-slit rigid cylinder and an inner cylinder which is either rigid or in the form of a thin elastic shell and (b) by a finite periodic array of…

We consider the problem of fixed frequency acoustic scattering from a sound-soft flat screen. More precisely the obstacle is restricted to a two-dimensional plane and interacting with a arbitrary incident wave, it scatters acoustic waves to…

偏微分方程分析 · 数学 2020-07-20 Emilia Blåsten , Lassi Päivärinta , Sadia Sadique

In a recent Letter, Cummer et al. give a description of material parameters for acoustic wave propagation giving rise to a 3D spherical cloak, and verify the cloaking phenomenon on the level of scattering coefficients. A similar…

光学 · 物理学 2008-01-23 Allan Greenleaf , Yaroslav Kurylev , Matti Lassas , Gunther Uhlmann

Wave propagation through waveguides, quantum wires or films with a modest amount of disorder is in the semi-ballistic regime when in the transversal direction(s) almost no scattering occurs, while in the long direction(s) there is so much…

凝聚态物理 · 物理学 2009-10-28 A. Mosk , Th. M. Nieuwenhuizen , C. Barnes

The model problem of scattering of a sound wave by an infinite plane structure formed by a semi-infinite acoustically hard screen and a semi-infinite sandwich panel perforated from one side and covered by a membrane from the other is…

数学物理 · 物理学 2023-04-11 Y. A. Antipov

We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are…

数学物理 · 物理学 2021-10-14 A. Delitsyn , D. S. Grebenkov

Electromagnetic wave scattering by many parallel infinite cylinders is studied asymptotically as $a\to 0$. Here $a$ is the radius of the cylinders. It is assumed that the points $\hat{x}_m$ are distributed so that…

数学物理 · 物理学 2012-09-03 Alexander G. Ramm

Motivated by applications to acoustic imaging, the present work establishes a framework to analyze scattering for the one-dimensional wave, Helmholtz, Schr\"odinger and Riccati equations that allows for coefficients which are more singular…

偏微分方程分析 · 数学 2022-02-28 Peter C. Gibson

We established the propagation equation of acoustical wave in media with the solid/porous media cylindrical boundary and obtained the analytic solution. We suggested the boundary condition on solid-porous media cylindrical boundary. Based…

材料科学 · 物理学 2015-11-11 Un-Son Ri , Un-Gyong An , Song-Jin Im

Sound scattering by a finite width beam on a single rigid body rotation vortex flow is detected by a linear array of transducers (both smaller than a flow cell), and analyzed using a revised scattering theory. Both the phase and amplitude…

混沌动力学 · 物理学 2009-11-10 Sh. Seifer , V. Steinberg

The coherent propagation of elastic waves in a solid filled with a random distribution of pinned dislocation segments is studied to all orders in perturbation theory. It is shown that, within the independent scattering approximation, the…

材料科学 · 物理学 2015-05-29 Dmitry Churochkin , Felipe Barra , Fernando Lund , Agnes Maurel , Vincent Pagneux

This paper presents a study of acoustic scattering by a cylinder of either infinite or finite length near a flat pressure-release surface. A novel self-consistent method is developed to describe the multiple scattering interactions between…

大气与海洋物理 · 物理学 2007-05-23 Zhen Ye , You-Yu Chen

In this paper a mathematical model is given for the scattering of an incident wave from a surface covered with microscopic small Helmholtz resonators, which are cavities with small openings. More precisely, the surface is built upon a…

数值分析 · 数学 2020-02-03 Habib Ammari , Kthim Imeri

The problem of an electromagnetic wave scattered from a random medium layer with rough boundaries is formulated using integral equations which involve two kinds of Green functions. The first one describes the wave scattered by the random…

大气与海洋物理 · 物理学 2007-05-23 A. Soubret , G. Berginc

Electromagnetic (EM) wave scattering by many parallel infinite cylinders is studied asymptotically as a tends to 0, where a is the radius of the cylinders. It is assumed that the centres of the cylinders are distributed so that their…

计算物理 · 物理学 2015-06-05 A. G. Ramm , M. I. Andriychuk

We give a detailed analysis of long range cumulative scattering effects from rough boundaries in waveguides. We assume small random fluctuations of the boundaries and obtain a quantitative statistical description of the wave field. The…

偏微分方程分析 · 数学 2011-11-07 Ricardo Alonso , Liliana Borcea , Josselin Garnier

In this article we discuss the modelling of elastic and electromagnetic wave propagation through one- and two-dimensional structured piezoelectric solids. Dispersion and the effect of piezoelectricity on the group velocity and positions of…

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