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A thin infinitely long elastic shell is stiffened by $J$ in number identical lengthwise ribs distributed uniformly around the circumference and joined to a rod in the center. The 2D model of the substructure is a rigid central mass…

经典物理 · 物理学 2015-12-09 Alexey S. Titovich , Andrew N. Norris

The effective medium representation is fundamental in providing a performance-to-design approach for many devices based on metamaterials. While there are recent works in extending the effective medium concept into the temporal domain, a…

应用物理 · 物理学 2021-08-25 Xinhua Wen , Xinghong Zhu , Hong Wei Wu , Jensen Li

There is currently a great deal of interest in the theoretical and practical possibility of cloaking objects from the observation by electromagnetic waves. The basic idea of these invisibility devices \cite{glu1, glu2, le},\cite{pss1} is to…

光学 · 物理学 2008-02-04 Ricardo Weder

The method of coordinate transformation offers a way to realize perfect cloaks, but provides less ability to characterize the performance of a multilayered cloak in practice. Here, we propose an analytical model to predict the performance…

光学 · 物理学 2009-04-30 Sheng Xi , Hongsheng Chen , Baile Zhang , Bae-Ian Wu , Jin Au Kong

In this paper, we establish two sharp quantitative results for the direct and inverse time-harmonic acoustic wave scattering. The first one is concerned with the recovery of the support of an inhomogeneous medium, independent of its…

偏微分方程分析 · 数学 2022-01-07 Emilia L. K. Blåsten , Hongyu Liu

A radial-dependent dispersive finite-difference time-domain (FDTD) method is proposed to simulate electromagnetic cloaking devices. The Drude dispersion model is applied to model the electromagnetic characteristics of the cloaking medium.…

经典物理 · 物理学 2009-05-13 Christos Argyropoulos , Yan Zhao , Yang Hao

We investigate electromagnetic scattering of normally irradiated gyrotropic, magneto-optical core-shell cylinders using Lorenz-Mie theory. A general expression for time-averaged electromagnetic energy inside a coated gyroelectric and…

光学 · 物理学 2017-12-19 Tiago J. Arruda , Alexandre S. Martinez , Felipe A. Pinheiro

We propose multilayer cylindrical invisibility cloaks that are optimized for oblique incidences through combination of analytic formalism of scattering and genetic optimization. We show that by using only four layers of homogeneous and…

光学 · 物理学 2016-04-13 Baile Zhang , Bae-Ian Wu

We propose a finite elements algorithm to solve a fourth order partial differential equation governing the propagation of time-harmonic bending waves in thin elastic plates. Specially designed perfectly matched layers are implemented to…

计算物理 · 物理学 2015-05-19 Mohamed Farhat , Sebastien Guenneau , Stefan Enoch

An effective medium theory for resonant and non-resonant metamaterials for flexural waves in thin plates is presented. The theory provides closed-form expressions for the effective parameters of arrangement of inclusions or resonators in…

材料科学 · 物理学 2014-10-08 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

A method is proposed to design arbitrary shaped two dimensional (2D) isotropic-inertia acoustic cloaks without singularity. The method is based on the deformation view of the transformation method, where the transformation tensor A is…

经典物理 · 物理学 2011-06-01 Jin Hu , Xiaoming Zhou , Gengkai Hu

Transformation optics constructions have allowed the design of cloaking devices that steer electromagnetic, acoustic and quantum waves around a region without penetrating it, so that this region is hidden from external observations. The…

偏微分方程分析 · 数学 2011-01-04 Matti Lassas , Ting Zhou

A Fourier transform method is introduced for a class of hybrid time-frequency methods that solve the acoustic scattering problem in regimes where the solution exhibits both highly oscillatory behavior and slow decay in time. This extends…

数值分析 · 数学 2026-02-18 Heather Wilber , Wietse Vaes , Abinand Gopal , Gunnar Martinsson

This paper is concerned with the invisibility cloaking in acoustic wave scattering from a new perspective. We are especially interested in achieving the invisibility cloaking by completely regular and isotropic mediums. It is shown that an…

偏微分方程分析 · 数学 2016-04-20 Xia Ji , Hongyu Liu

Controlling systems governed by partial differential equations is an inherently hard problem. Specifically, control of wave dynamics is challenging due to additional physical constraints and intrinsic properties of wave phenomena such as…

信号处理 · 电气工程与系统科学 2023-12-18 Tristan Shah , Feruza Amirkulova , Stas Tiomkin

This paper presents a technique, combining the integral equations (IE) and the Generalized Sheet Transition Conditions (GSTCs) with bianisotropic susceptibility tensors, to compute electromagnetic wave scattering by cylindrical metasurfaces…

计算物理 · 物理学 2019-06-26 Mojtaba Dehmollaian , Nima Chamanara , Christophe Caloz

An analytical approach is presented to model a metasolid accounting for anisotropic effects and rotational mode. The metasolid is made of either cylindrical or spherical hard inclusions embedded in a stiff matrix via soft claddings, and the…

应用物理 · 物理学 2018-01-01 Elie Favier , Navid Nemati , Camille Perrot , Qi-Chang He

We propose a deep learning framework based on an encoder-decoder architecture for the design and evaluation of cloaking devices, demonstrated in this work for two-dimensional wave propagation governed by the Helmholtz equation. The cloaks…

计算物理 · 物理学 2026-05-22 Camille Carvalho , Elsie Cortes , Chrysoula Tsogka , Symeon Papadimitropoulos

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

We investigate the scattering of 2D cylindrical invisibility cloaks with simplified constitutive parameters with the assistance of scattering coefficients. We show that the scattering of the cloaks originates not only from the boundary…

光学 · 物理学 2011-03-14 Liang Peng , Lixin Ran , N. Asger Mortensen