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We consider the scattering of elastic waves by highly oscillating anisotropic periodic media with bounded support. Applying the two-scale homogenization, we first obtain a constant coefficient second-order partial differential elliptic…

偏微分方程分析 · 数学 2018-02-06 Yi-Hsuan Lin , Shixu Meng

In this work, we study the effective behavior of a two-dimensional variational model within finite crystal plasticity for high-contrast bilayered composites. Precisely, we consider materials arranged into periodically alternating thin…

偏微分方程分析 · 数学 2019-02-01 Elisa Davoli , Rita Ferreira , Carolin Kreisbeck

We analyse the influence of pre-stress on the propagation of interfacial waves along the boundary of an incompressible hyperelastic half-space that is in contact with a viscous fluid extending to infinity in the adjoining half-space. One…

流体动力学 · 物理学 2007-11-29 Mélanie Otténio , Michel Destrade , Raymond W. Ogden

Natural and engineered media usually involve combinations of solid, fluid and porous layers, and accurate and stable modelling of wave propagation in such complex multilayered media is fundamental to evaluating their properties with…

经典物理 · 物理学 2023-06-13 Ming Huang , Frederic Cegla , Bo Lan

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

Space-time varying media with moving interfaces unlock new ways to manipulate electromagnetic waves. Yet, analytical solutions have been mostly limited to interfaces moving at constant velocity or constant proper acceleration. Here, we…

光学 · 物理学 2025-10-10 Klaas De Kinder , Amir Bahrami , Christophe Caloz

In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on a tight-binding band structure. We do this by using the wave packet approach to scattering, which presents a more…

物理教育 · 物理学 2022-07-06 M. Staelens , F. Marsiglio

We study long range propagation of electromagnetic waves in random waveguides with rectangular cross-section and perfectly conducting boundaries. The waveguide is filled with an isotropic linear dielectric material, with randomly…

数学物理 · 物理学 2013-10-21 Ricardo Alonso , Liliana Borcea

Reducing electromagnetic scattering from an object has always been a task, inspiring efforts across disciplines such as materials science and electromagnetic theory. The pursuit of electromagnetic cloaking significantly advanced the field…

Since the dawn of modern optics and electromagnetics, optical prism is one of the most fascinating optical elements for refracting light. Exploiting its frequency dispersive behaviour, a prism is able to refract different frequencies in…

光学 · 物理学 2023-02-15 L. Stefanini , D. Ramaccia , A. Toscano , F. Bilotti

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

Previously, we have shown the advantages of an approach based on microstructural modulation of the functional phase and topology of periodically arranged elements to program wave scattering in ferromagnetic microwire composites. However,…

应用物理 · 物理学 2020-04-16 A. Uddin , D. Estevez , H. X. Peng , F. X. Qin

The aim of this lecture is to consider a concrete problem, namely the identification of situations of invisibility in waveguides, to present techniques and tools that may be useful in various fields of applied mathematics. To be more…

偏微分方程分析 · 数学 2025-11-13 Lucas Chesnel

We introduce the concept of a metasurface system able to route space wave via surface waves. This concept may be used to laterally shift or modulate the beam width of scattered waves. We propose two corresponding synthesis techniques, one…

光学 · 物理学 2016-12-19 Karim Achouri , Christophe Caloz

Waves impart momentum and exert force on obstacles in their path. The transfer of wave momentum is a fundamental mechanism for contactless manipulation, yet the rules of conventional scattering intrinsically limit the radiation force based…

应用物理 · 物理学 2022-11-03 Matthew Stein , Sam Keller , Yujie Luo , Ognjen Ilic

The propagation of electromagnetic waves in a linearly-varying index of refraction is a fundamental problem in wave physics, being relevant in fusion science for describing certain wave-based heating and diagnostic schemes. Here, an exact…

光学 · 物理学 2025-04-10 N. A. Lopez

We consider an inverse problem for the linear one-dimensional wave equation with variable coefficients consisting in determining an unknown source term from a boundary observation. A method to obtain approximations of this inverse problem…

数值分析 · 数学 2025-01-22 Carlos Castro , Sorin Micu

Van der Waals (vdW) materials offer new ways to assemble artificial electronic media with properties controlled at the design stage, by combining atomically defined layers into interfaces and heterostructures. Their potential for…

For any inhomogeneous compactly supported electromagnetic (EM) medium, it is shown that there exists an infinite set of linearly independent electromagnetic waves which generate nearly vanishing scattered wave fields. If the inhomogeneous…

偏微分方程分析 · 数学 2017-03-08 Hongyu Liu , Yuliang Wang , Shuhui Zhong

The boundaries of waveguides and nanowires have drastic influence on their coherent scattering properties. Designing the boundary profile is thus a promising approach for transmission and band-gap engineering with many applications. By…

介观与纳米尺度物理 · 物理学 2012-12-04 O. Dietz , H. -J. Stöckmann , U. Kuhl , F. M. Izrailev , N. M. Makarov , J. Doppler , F. Libisch , S. Rotter