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The boundary element method is an efficient algorithm for simulating acoustic propagation through homogeneous objects embedded in free space. The conditioning of the system matrix strongly depends on physical parameters such as density,…

Superscatterers are known to expand the rigid boundary of an object thereby enhancing the scattering cross section of the object. The design philosophy of the acoustic superscatterers is based on partially-resonant systems in which a…

应用物理 · 物理学 2021-12-14 Vineeth P. Ramachandran , Prabhu Rajagopal

This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous penetrable obstacle in a piecewise homogeneous medium. The well-posedness of the direct problem is first established by using…

偏微分方程分析 · 数学 2009-12-16 Xiaodong Liu , Bo Zhang

We provide an analytical formulation to model the propagation of elastic waves in a homogeneous half-space supporting an array of thin plates. The technique provides the displacement field obtained from the interaction between an incident…

应用物理 · 物理学 2022-06-02 Xingbo Pu , Antonio Palermo , Alessandro Marzani

A numerical method for solving the equations modeling acoustic scattering is presented. The method is capable of handling several dozen scatterers, each of which is several wave-lengths long, on a personal work station. Even for geometries…

数值分析 · 数学 2014-06-03 Sijia Hao , Per-Gunnar Martinsson , Patrick Young

A symmetric boundary integral formulation for the transient scattering of acoustic waves off homogeneous and isotropic elastic obstacles is analyzed. Both the acoustic scattered field and the elastodynamic excited field are represented…

数值分析 · 数学 2025-08-19 Tonatiuh Sánchez-Vizuet

The problem of electromagnetic scattering by cylinders is an old problem that has been studied in many configurations. The present publication provides a theoretical study on a not yet investigated general case: the set of finite metallic…

计算物理 · 物理学 2026-03-31 Matthieu Elineau , Lucille Kuhler , Alexandre Chabory

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…

数值分析 · 数学 2019-03-19 Wangtao Lu , Guanghui Hu

The interaction of obliquely incident surface gravity waves with a vertical flexible permeable membrane wave barrier is investigated in the context of three-dimensional linear wave-structure interaction theory. A general formulation for…

流体动力学 · 物理学 2016-04-20 Santanu Koley , Trilochan Sahoo

Approximated numerical techniques, for the solution of the elastic wave scattering problem over semi-infinite domains are reviewed. The approximations involve the representation of the half-space by a boundary condition described in terms…

计算工程、金融与科学 · 计算机科学 2014-10-14 Nicolás Guarín-Zapata , Juan Gómez , Juan Jaramillo

In this paper we consider an acoustic problem of wave propagation through a discontinuous medium. The problem is reduced to the dissipative wave equation with distributional dissipation. We show that this problem has a so-called very weak…

偏微分方程分析 · 数学 2017-05-04 Juan Carlos Munoz , Michael Ruzhansky , Niyaz Tokmagambetov

We obtain a nonperturbative, analytical solution to integral equation of scattering theory by assuming the field within the scattering object is a spherical wave with a scattering amplitude equal to that of the far field. This approximation…

经典物理 · 物理学 2018-09-26 Brian Slovick , Srini Krishnamurthy

We introduce a new numerical method for solving time-harmonic acoustic scattering problems. The main focus is on plane waves scattered by smoothly varying material inhomogeneities. The proposed method works for any frequency $\omega$, but…

数值分析 · 数学 2022-01-14 Anton Arnold , Sjoerd Geevers , Ilaria Perugia , Dmitry Ponomarev

In this paper, we present an accurate numerical method for the time-harmonic Maxwell's equations for bi-periodic multilayered media with quasi-periodic incident waves using the Method of Fundamental Solutions in conjunction with a…

数值分析 · 数学 2026-05-18 Jared Weed , Bowei Wu , Jingfang Huang , Min Hyung Cho

Two-dimensional problem of evanescent wave scattering by dielectric or metallic cylinders near the interface between two dielectric media is solved numerically by boundary integral equations method. A special Green function was proposed to…

光学 · 物理学 2017-04-17 O. V. Belai , L. L. Frumin , S. V. Perminov , D. A. Shapiro

This paper considers the problem of water wave scattering by a rectangular anisotropic elastic plate mounted on the ocean surface, with either free, clamped or simply-supported edges. The problem is obtained as an expansion over the dry…

流体动力学 · 物理学 2026-01-26 Ben Wilks , Michael H. Meylan , Zachary J. Wegert , Vivien J. Challis , Ngamta Thamwattana

This paper presents an immersed boundary (IB) method for fluid--structure--acoustics interactions involving large deformations and complex geometries. In this method, the fluid dynamics is solved by a finite difference method where the…

流体动力学 · 物理学 2020-05-20 Li Wang , Fang-Bao Tian , Joseph C. S. Lai

We present a novel computational scheme to solve acoustic wave transmission problems over composite scatterers, i.e. penetrable obstacles possessing junctions or triple points. Our continuous problem is cast as a multiple traces time-domain…

数值分析 · 数学 2022-04-01 Carlos Jerez-Hanckes , Ignacio Labarca

In this paper, we consider inverse time-harmonic acoustic and electromagnetic scattering from locally perturbed rough surfaces in three dimensions. The scattering interface is supposed to be the graph of a Lipschitz continuous function with…

偏微分方程分析 · 数学 2018-12-24 Yu Zhao , Guanghui Hu , Baoqiang Yan

We consider the time-harmonic acoustic wave scattering by a bounded {\it anisotropic inhomogeneity} embedded in an unbounded {\it anisotropic} homogeneous medium. The material parameters may have discontinuities across the interface between…

偏微分方程分析 · 数学 2018-12-26 Otar Chkadua , Sergey E. Mikhailov , David Natroshvili