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The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices in both plane and antiplane problems. The main idea of this article is that analytical solutions to problems of mechanics of discrete…

经典物理 · 物理学 2022-01-31 Nadezhda I. Aleksandrova

The scattering of electromagnetic waves by three--dimensional periodic structures is important for many problems of crucial scientific and engineering interest. Due to the complexity and three-dimensional nature of these waves, the fast,…

数值分析 · 数学 2023-07-31 David P. Nicholls , Liet Vo

Scattering of electromagnetic waves by many small particles of arbitrary shapes is reduced rigorously to solving linear algebraic system of equations bypassing the usual usage of integral equations. The matrix elements of this linear…

数学物理 · 物理学 2009-11-11 A. G. Ramm

Numerical simulations shed light on control of shear elastic wave propagation in plates structured with inertial resonators. The structural element is composed of a heavy core connected to the main freestanding plate through tiny ligaments.…

材料科学 · 物理学 2015-07-21 Younes Achaoui , André Diatta , Sébastien Guenneau

A general algorithm for calculating the reflection and refraction of nonuniform plane waves from an arbitrarily oriented and charged planar interface between two lossy isotropic media is proposed based on the decomposition of the complex…

光学 · 物理学 2026-02-24 Zhili Lin

Acoustic waves in a slightly compressible fluid saturating porous periodic structure are studied using two complementary approaches: 1) the periodic homogenization (PH) method provides effective model equations for a general dynamic problem…

流体动力学 · 物理学 2021-01-07 Eduard Rohan , Robert Cimrman

The propagation of elastic waves in a fractured rock is investigated, both theoretically and numerically. Outside the fractures, the propagation of compressional waves is described in the simple framework of one-dimensional linear…

数值分析 · 数学 2016-08-16 Bruno Lombard , Joël Piraux

Mechanical and elastic properties of materials are among the most fundamental quantities for many engineering and industrial applications. Here, we present a formulation that is efficient and accurate for calculating the elastic and bending…

材料科学 · 物理学 2026-03-23 Changpeng Lin , Samuel Poncé , Francesco Macheda , Francesco Mauri , Nicola Marzari

Wave transport devices, such as amplifiers, frequency converters, and nonreciprocal devices, are essential for modern communication, signal processing, and sensing applications. Of particular interest are traveling wave setups, which offer…

光学 · 物理学 2025-11-05 Jonas Landgraf , Clara C. Wanjura , Vittorio Peano , Florian Marquardt

A periodically-uneven (in one horizontal direction) stress-free boundary covering a linear, isotropic, homogeneous, lossless solid half space is submitted to a vertically-propagating shear-horizontal plane, body wave. The rigorous theory of…

计算物理 · 物理学 2018-05-28 Armand Wirgin

A new version of the invariant imbedding theory for the propagation of coupled waves in inhomogeneous media is applied to the mode conversion of high frequency electromagnetic waves into electrostatic modes in cold, magnetized and…

等离子体物理 · 物理学 2009-11-11 Kihong Kim , Dong-Hun Lee

Finite propagation speed properties in mathematical elastic and viscoelastic models are fundamental in many applications where the data exhibits propagating fronts. We note particularly that this property is observed in biomechanical…

偏微分方程分析 · 数学 2016-11-10 Joyce McLaughlin , Jeong-Rock Yoon

A first comprehensive treatment on complex eigenmodes is presented for general lossy traveling-wave electromagnetic structures where the per unit length propagation phase shift ($\beta$) dependent complex eigenfrequencies $\Omega(\beta)$…

应用物理 · 物理学 2020-05-13 João G. Nizer Rahmeier , Ville Tiukuvaara , Shulabh Gupta

The polarization-sensitive propagation in the anisotropic metamaterial (AMM) with double-sheeted hyperboloid dispersion relation is investigated from a purely wave propagation point of view. We show that TE and TM polarized waves present…

光学 · 物理学 2008-02-20 Hailu Luo , Zhongzhou Ren

We develop an effective computational tool for simulating the scattering of 1D waves by a composite layer architected in an otherwise homogeneous medium. The layer is designed as the union of segments cut from various mother periodic media,…

计算物理 · 物理学 2025-11-19 Prasanna Salasiya , Bojan B. Guzina

By idealizing a general mapping as a series of local affine ones, we derive approximately transformed material parameters necessary to control solid elastic waves within classical elasticity theory. The transformed elastic moduli are…

经典物理 · 物理学 2011-11-04 Jin Hu , Zheng Chang , Gengkai Hu

We study the coherent propagation and incoherent diffusion of in-plane elastic waves in a two dimensional continuum populated by many, randomly placed and oriented, edge dislocations. Because of the Peierls-Nabarro force the dislocations…

材料科学 · 物理学 2020-12-02 Dmitry Churochkin , Fernando Lund

Apart from omnidirectional, a solid elastic sphere is a natural multimode and multifrequency device for the detection of Gravitational Waves (GW). Motion sensing in a spherical GW detector thus requires a multiple set of transducers…

天体物理学 · 物理学 2007-05-23 J. Alberto Lobo , M. Angeles Serrano

The present work is concerned with the propagation of electro-magneto-thermoelastic plane waves of assigned frequency in a homogeneous isotropic and finitely conducting elastic medium permeated by a primary uniform external magnetic field.…

经典物理 · 物理学 2024-09-05 Rakhi Tiwari , J. C. Mishra

The determination of the polarization modes of gravitational waves (GWs) and their dispersion relations is a crucial task for scrutinizing the viability of extended theories of gravity. A tool to investigate the polarization states of GWs…

广义相对论与量子宇宙学 · 物理学 2024-07-03 Márcio E. S. Alves
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