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This paper considers the scattering of a time-harmonic acoustic plane wave by an elastic body with an unbounded periodic surface. The original problem can be confined to the analysis of the fields in one periodic cell. With the help of the…

Numerical Analysis · Mathematics 2026-02-11 Sijia Li , Lei Lin , Junliang Lv

A numerical method of solving the problem of acoustic wave radiation in the presence of a rigid scatterer is described. It combines the finite element method and the boundary algebraic equations. In the proposed method, the exterior domain…

Numerical Analysis · Computer Science 2018-05-18 J. Poblet-Puig , A. V. Shanin

Surface acoustic waves (SAW) and associated SAW devices are ideal for sensing, metrology, and connecting and controlling hybrid quantum devices. While the advances demonstrated to date are largely based on electromechanical coupling, a…

An adaptive finite element method is presented for the elastic scattering of a time-harmonic plane wave by a periodic surface. First, the unbounded physical domain is truncated into a bounded computational domain by introducing the…

Numerical Analysis · Mathematics 2016-05-30 Xue Jiang , Peijun Li , Junliang Lv , Weiying Zheng

We investigate the propagation of surface acoustic waves (SAWs) in a layered half-space system comprising a continuous, sub-wavelength-thick layer weakly adhering to a substrate. Using finite element simulations, we demonstrate that this…

Applied Physics · Physics 2026-02-25 Martin Robin , Thomas Dehoux , Maroun Abi Ghanem

In outdoor acoustics, the calculations of sound propagating in air can be computationally heavy if the domain is chosen large enough to fulfil the Sommerfeld radiation condition. By strategically truncating the computational domain with a…

Consider the scattering of a time-harmonic acoustic incident wave by a bounded, penetrable, and isotropic elastic solid, which is immersed in a homogeneous compressible air or fluid. The paper concerns the numerical solution for such an…

Numerical Analysis · Mathematics 2017-03-10 Xue Jiang , Peijun Li

Established techniques for characterizing a layer on a substrate system via surface acoustic wave (SAW) dispersion measurement are often slow due to the need for scanning excitation or detection positions. We present a method for…

A Rayleigh-type surface acoustic wave (SAW) is used in various fields as classical and quantum information carriers because of its surface localization, high electrical controllability, and low propagation loss. Coupling and hybridization…

Applied Physics · Physics 2023-04-25 Ryusuke Hisatomi , Kotaro Taga , Ryo Sasaki , Yoichi Shiota , Takahiro Moriyama , Teruo Ono

In this paper, we propose and analyze semi-implicit numerical schemes for the stochastic wave equation (SWE) with general nonlinearity and multiplicative noise. These numerical schemes, called stochastic scalar auxiliary variable (SAV)…

Numerical Analysis · Mathematics 2022-08-30 Jianbo Cui , Jialin Hong , Liying Sun

As a wide class of resource management problems in wireless communications are nonconvex and even NP-hard in many cases, finding globally optimal solutions to these problems is of little practical interest. Towards more pragmatic…

Information Theory · Computer Science 2017-04-17 Quang-Doanh Vu , Markku Juntti , Een-Kee Hong , Le-Nam Tran

We consider radial complex scaling/perfectly matched layer methods for scalar resonance problems in homogeneous exterior domains. We introduce a new abstract framework to analyze the convergence of domain truncations and discretizations.…

Numerical Analysis · Mathematics 2020-07-21 Martin Halla

Surface acoustic wave (SAW) resonators provide a compact platform for confining microwave-frequency phonons and are widely used in radio-frequency technologies, but their operation at gigahertz frequencies and cryogenic temperatures remains…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Aldo Tarascio , Oliver Wicki , Dominik M. Zumbühl

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

We investigate the propagation of a piezoelectric surface acoustic wave (SAW) across a GaAs/Al$_X$Ga$_{1-X}$As heterostructure surface, on which there is fixed a metallic split-gate. Our method is based on a finite element formulation of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Rahman , M. Kataoka , C. H. W. Barnes , H. P. Langtangen

An efficient method is proposed for numerical solutions of nonlinear Schr\"{o}dinger equations in an unbounded domain. Through approximating the kinetic energy term by a one-way equation and uniting it with the potential energy equation,…

Numerical Analysis · Mathematics 2009-11-13 Jiwei Zhang , Zhenli Xu , Xiaonan Wu

Surface acoustic waves (SAWs), coherent vibrational modes localized at solid surfaces, have been employed to manipulate and detect electronic and magnetic states in condensed-matter systems via strain. SAWs are commonly excited in a…

We introduce a framework for performing the inverse imaging of composite elastic materials. Our technique uses surface acoustic wave (SAW) boundary observations within a minimization problem to express the interior composition of the…

Numerical Analysis · Mathematics 2019-03-15 Elliott Ginder , Riku Kanai

We consider the numerical solution of scalar wave equations in domains which are the union of a bounded domain and a finite number of infinite cylindrical waveguides. The aim of this paper is to provide a new convergence analysis of both…

Numerical Analysis · Mathematics 2015-04-01 Thorsten Hohage , Lothar Nannen

Magnon-phonon coupling has garnered increasing interest in condensed matter physics due to its fertile physics and potential applications in devices with novel functionalities. Surface acoustic waves (SAWs) are commonly employed as a source…

Materials Science · Physics 2025-04-18 Takuya Kawada , Masashi Kawaguchi , Hiroki Matsumoto , Masamitsu Hayashi
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