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This paper provides a theoretical foundation for some common formulations of inverse problems in wave propagation, based on hyperbolic systems of linear integro-differential equations with bounded and measurable coefficients. The…

数学物理 · 物理学 2015-06-12 Kirk D. Blazek , Christiaan C. Stolk , William W. Symes

The scattering of waves is a ubiquitous phenomenon in physics, yet there are numerous scenarios, such as the pursuit of invisibility, where suppressing it is of utmost importance. In comparison to prior methods which are restricted by…

应用物理 · 物理学 2023-05-02 Chenkai Liu , Chu Ma , Yun Lai , Nicholas X. Fang

Scattering experiments can be leveraged to extract the effective properties of a heterogeneous metamaterial slab based on multi-point measurements in surrounding media. In this technique, two measurements are made in the ambient media on…

应用物理 · 物理学 2023-07-14 Joshua Morris , Alireza V. Amirkhizi

Artificially created media allow employing material parameters as additional valuable degrees of freedom in tailoring electromagnetic scattering. In particular, metamaterials with either negative permeability or permittivity allow creating…

应用物理 · 物理学 2021-07-30 S. Kosulnikov , D. Filonov , A. Boag , P. Ginzburg

We present a simple model of the interface between a local homogeneous medium and a potentially nonlocal metamaterial/photonic crystal. This model allows us to calculate the scattering matrix elements of the interface for a plane wave of…

材料科学 · 物理学 2012-06-18 Chris Fietz , Costas M. Soukoulis

This work theoretically and experimentally reports the evanescent connections between propagating bands in periodic acoustic materials. The complex band structures obtained by solving for the $k(\omega)$ problem reveal a complete…

Asymptotic solution to many-body wave scattering problem is given in the case of many small scatterers. The small scatterers can be particles whose physical properties are described by the boundary impedances, or they can be small…

数学物理 · 物理学 2011-01-25 A. G. Ramm

We outline specific features of numerical simulations of metamaterial wedges and interfaces. We study the effect of different positioning of a grid in the Yee method, which is necessary to obtain consistent convergence in modeling of…

光学 · 物理学 2007-05-23 Andrey A. Sukhorukov , Ilya V. Shadrivov , Yuri S. Kivshar

Elastic wave manipulation is important in a wide variety of scales in applications including information processing in tiny elastic devices and noise control in big solid structures. The recent emergence of topological materials opens a new…

材料科学 · 物理学 2022-10-05 Ying Wu , Jiuyang Lu , Xueqin Huang , Yating Yang , Li Luo , Linyun Yang , Feng Li , Weiyin Deng , Zhengyou Liu

Reflection and refraction of electromagnetic waves by artificial periodic composites (metamaterials) can be accurately modeled by an effective medium theory only if the boundary of the medium is explicitly taken into account and the two…

光学 · 物理学 2013-09-24 Vadim A. Markel , Igor Tsukerman

The van der Waals heterostructures are a fertile frontier for discovering emergent phenomena in condensed matter systems. They are constructed by stacking elements of a large library of two-dimensional materials, which couple together…

介观与纳米尺度物理 · 物理学 2020-05-22 William Dorrell , Harris Pirie , S. Minhal Gardezi , Nathan C. Drucker , Jennifer E. Hoffman

Lenses that can collect the perfect image of an object must restore propagative and evanescent waves. However, for efficient information transfer, e.g., in compressed sensing, it is often desirable to detect only the fast spatial variations…

光学 · 物理学 2016-02-01 Miguel Molerón , Chiara Daraio

The scattering of electromagnetic wave by a periodic array of nanowires is calculated by the boundary element method. The method is extended to the infinite grating near the interface between two dielectrics. A special Green function is…

Superscattering, induced by degenerate resonances, breaks the fundamental single-channel limit of scattering cross section of subwavelength structures; in principle, an arbitrarily large total cross section can be achieved via…

经典物理 · 物理学 2018-12-17 Chao Qian , Xiao Lin , Yi Yang , Xiaoyan Xiong , Huaping Wang , Erping Li , Ido Kaminer , Baile Zhang , Hongsheng Chen

Temporal metamaterials have been recently exploited as a novel platform for conceiving several electromagnetic and optical devices based on the anomalous scattering response arising at a single or multiple sudden changes of the material…

In this paper, we establish well-posed boundary and interface conditions for the relaxed micromorphic model that are able to unveil the scattering response of fully finite-size metamaterials' samples. The resulting relaxed micromorphic…

应用物理 · 物理学 2021-05-04 Gianluca Rizzi , Marco Valerio d'Agostino , Patrizio Neff , Angela Madeo

Wave propagation in complex media is a universal problem spanning optics, acoustics, mechanics, and condensed matter physics. While disorder usually causes strong scattering, recent theory predicts that a special class of correlated…

软凝聚态物质 · 物理学 2026-02-10 Angélique Campaniello , Rémi Carminati , Marcel Filoche , Emmanuel Fort

In this paper, we consider the problem of the scattering of in-plane waves at an interface between a homogeneous medium and a metamaterial. The relevant eigenmodes in the two regions are calculated by solving a recently described non…

应用物理 · 物理学 2020-03-20 Amir Ashkan Mokhtari , Yan Lu , Qiyuan Zhou , Alireza V. Amirkhizi , Ankit Srivastava

This paper investigates the asymptotic behaviors of time-harmonic acoustic waves generated by an incident wave illuminating inhomogeneous medium inclusions with high-contrast material parameters. We derive sharp asymptotic estimates and…

偏微分方程分析 · 数学 2024-10-31 Yueguang Hu , Hongyu Liu

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