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Bianisotropy is common in electromagnetics whenever a cross-coupling between electric and magnetic responses exists. However, the analogous concept for elastic waves in solids, termed as Willis coupling, is more challenging to observe. It…

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…

Applied Physics · Physics 2021-07-30 S. Kosulnikov , D. Filonov , A. Boag , P. Ginzburg

Static or frozen disorder, characterised by spatial heterogeneities, influences diverse complex systems, encompassing many-body systems, equilibrium and nonequilibrium states of matter, intricate network topologies, biological systems, and…

Disordered Systems and Neural Networks · Physics 2025-03-24 M. Ahumada , L. Trujillo , J. F. Marín

Birefringent materials or nanostructures that introduce phase differences between two linear polarizations underpin the operation of wave plates for polarization control of light. Here we develop metasurfaces realizing a distinct class of…

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…

Applied Physics · Physics 2021-08-25 Xinhua Wen , Xinghong Zhu , Hong Wei Wu , Jensen Li

A medium with specific anisotropic refractive indices can induce a supersymmetric behavior in the propagation of polarized electromagnetic waves, in an analogue fashion to a quantum mechanical system. The polarizations of the wave are the…

Recently there has been interest in studying a new class of elastic materials, which is described by implicit constitutive relations. Under some basic assumption for elasticity constants, the system of governing equations of motion for this…

Analysis of PDEs · Mathematics 2017-04-05 Shou-Jun Huang , K. R. Rajagopal , Hui-Hui Dai

Extremal elastic materials here refer to a specific class of elastic materials whose elastic matrices exhibit one or more zero eigenvalues, resulting in soft deformation modes that, in principle, cost no energy. They can be approximated…

Classical Physics · Physics 2024-09-09 Yu Wei , Yi Chen , Wen Cheng , Xiaoning Liu , Gengkai Hu

Willis materials are complex media characterized by four macroscopic material parameters, the conventional mass density, and bulk modulus and two additional Willis coupling terms, which have been shown to enable unsurpassed control over the…

Applied Physics · Physics 2019-06-12 Yuxin Zhai , Hyung-Suk Kwon , Bogdan-Ioan Popa

Accurate wave-function descriptions of pristine and defected solids remain challenging due to the simultaneous presence of finite-size, basis-set, and correlation errors. While embedding techniques alleviate finite-size effects and…

Materials designed by nature commonly exhibit functional grading and laminated structures, particularly when intended for enhanced impact protection. Synthetic materials have also found success in exploiting this concept with fully dense…

Materials Science · Physics 2026-05-13 Thomas Butruille , Joshua C. Crone , Carlos M. Portela

A new approach for describing the effective electronic states of "atoms in compounds" to study the properties of molecules and condensed matter which are circumscribed by the operators heavily concentrated in atomic cores is proposed. Among…

Chemical Physics · Physics 2014-12-02 Anatoly V. Titov , Yuriy V. Lomachuk , Leonid V. Skripnikov

We present a theory which explains how to achieve an enhancement of nonlinear effects in a thin layer of nonlinear medium by involving a planar periodic structure specially designed to bear a trapped-mode resonant regime. In particular, the…

Optics · Physics 2015-12-18 V. Khardikov , P. Mladyonov , S. Prosvirnin , V. Tuz

Love waves are antiplane elastic waves which propagate along the surface of a heterogeneous medium. Under time-harmonic regime, they are governed by a scalar equation of the Helmholtz type. We exploit the invariance of this governing…

Applied Physics · Physics 2023-04-14 Z. Chatzopoulos , A. Palermo , S. Guenneau , A. Marzani

We start from a one-dimensional periodic multilayered stack in order to define a frequency power expansion of effective permittivity, permeability and bianisotropic parameters. It is shown from the first order that a simple dielectric…

Optics · Physics 2012-12-04 Yan Liu , Sébastien Guenneau , Boris Gralak

Cloaking techniques conceal objects by controlling the flow of electromagnetic waves to minimize scattering. Herein, the effectiveness of homogenized anisotropic materials in non-resonant dielectric multilayer cloaking is studied. Because…

Optics · Physics 2014-01-07 Akihiro Takezawa , Mitsuru Kitamura

The main purpose of this work is to address the question of the utility of "effective constitutive relations" for problems in dynamics. This is done in the context of longitudinal shear waves in an elastic medium that is periodically…

Materials Science · Physics 2013-11-18 John Willis

Using the spectral approach, we analyze the effective properties of a composite which deviates slightly from periodicity. We find that, when the inclusions are randomly displaced from their equilibrium positions, the sharp resonances seen…

Materials Science · Physics 2009-11-07 Sergey V. Barabash , David Stroud

The local elastic properties of strongly disordered host material are investigated using the theory of correlated random matrices. A significant increase in stiffness is shown in the interfacial region, which thickness depends on the…

Disordered Systems and Neural Networks · Physics 2023-03-30 D. A. Conyuh , A. A. Semenov , Y. M. Beltukov

Mitigating low-frequency noise is particularly challenging due to its limited natural attenuation. This study aims to design viscoelastic composite microstructures that achieve both low acoustic reflection and high internal damping by…

Applied Physics · Physics 2025-11-06 Hiroaki Deguchi , Kei Matsushima , Takayuki Yamada