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Refraction and diffraction of waves in natural crystals and artificial crystals formed by anisotropically scattering centers are considered. A detailed study of the electromagnetic wave refraction in a two-dimensional photonic crystal…

Optics · Physics 2012-05-30 V. G. Baryshevsky , E. A. Gurnevich

The paper considers an opportunity for the creation of an artificial two-component metamaterial with a negative refractive index within the radio and optical frequency band, which possesses a spatial dispersion. It is shown that there…

Optics · Physics 2008-04-28 V. V. Slabko

In this paper the transmission of electromagnetic waves through a one-dimensional lossy photonic crystal consisting of layers with negative and positive refractive indices is investigated. The behavior and characteristics of the bandwidth,…

Materials Science · Physics 2012-11-02 Alireza Aghajamali , Mahmood Barati

We present a study of elastic metamaterial that possesses multiple local resonances. We demonstrated that the elastic metamaterial can have simultaneously three negative effective parameters, i.e., negative effective mass, effective bulk…

Classical Physics · Physics 2017-10-19 Ji-En Wu , Xiaoyun Wang , Bing Tang , Zhaojian He , Ke Deng , Heping Zhao

Electromagnetic wave scattering by many parallel infinite cylinders is studied asymptotically as $a\to 0$. Here $a$ is the radius of the cylinders. It is assumed that the points $\hat{x}_m$ are distributed so that…

Mathematical Physics · Physics 2012-09-03 Alexander G. Ramm

Metamaterials with the transformation method has greatly promoted the development in achieving invisibility and illusion for various classical waves. However, the requirement of tailor-made bulk materials and extreme constitutive parameters…

Classical Physics · Physics 2017-07-26 Yongquan Liu , Zixian Liang , Fu Liu , Owen Diba , Alistair Lamb , Jensen Li

We use two different fully vectorial microscopic models featuring nonresonant and resonant scattering, respectively, to demonstrate the Anderson localization transition for elastic waves in three-dimensional (3D) disordered solids. Critical…

Disordered Systems and Neural Networks · Physics 2018-08-24 S. E. Skipetrov , Y. M. Beltukov

Propagation of P and SV waves in an elastic solid containing randomly distributed inclusions in a half-space is investigated. The approach is based on a multiple scattering analysis similar to the one proposed by Fikioris and Waterman for…

Mathematical Physics · Physics 2011-02-07 Jean-Marc Conoir , Andrew N. Norris

In this paper, we present numerical and experimental evidence of directional wave behavior, i.e. beaming and diffraction, along high-order rotational symmetries of quasicrystalline elastic metamaterial plates. These structures are obtained…

Applied Physics · Physics 2022-01-31 Danilo Beli , Matheus Inguaggiato Nora Rosa , Carlos De Marqui , Massimo Ruzzene

Conditions on the elastic stiffnesses of anisotropic crystals are derived such that circularly polarized longitudinal inhomogeneous plane waves with an isotropic slowness bivector may propagate for any given direction of the normal to the…

Soft Condensed Matter · Physics 2013-04-09 Philippe Boulanger , Michel Destrade , Michael A. Hayes

Inspired by the problem of elastic wave scattering on wrinkled interfaces, we studied the scattering of ballistic electrons on a wrinkled potential energy region. The electron transmission coefficient depends on both wrinkle amplitude and…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 T. L. Mitran , G. A. Nemnes , L. Ion , Daniela Dragoman

Manipulation of radiation is required for enabling a span of electromagnetic applications. Since properties of antennas and scatterers are very sensitive to a surrounding environment, macroscopic artificially created materials are good…

We study wave propagation in strongly nonlinear 1D diatomic granular crystals under an impact load. Depending on the mass ratio of the `light' to `heavy' beads, this system exhibits rich wave dynamics from highly localized traveling waves…

Soft Condensed Matter · Physics 2015-12-09 E. Kim , R. Chaunsali , H. Xu , J. Jaworski , J. Yang , P. Kevrekidis , A. F. Vakakis

We design a two-dimensional ultra-thin elastic metasurface consisting of steel cores coated with elliptical rubbers embedded in epoxy matrix, capable of manipulating bulk elastic wave modes for reflected waves. The energy exchanges between…

Applied Physics · Physics 2018-06-27 Pai Peng , Cheng Feng , Kangcheng Zhou

Efficient transmission of elastic waves across interfaces is central to several applications, including medical imaging, seismic isolation, and transducer design. Interfaces with abrupt changes in the material properties significantly…

Optics · Physics 2026-02-25 Jagannadh Boddapati , Jihoon Ahn , Alexander C Ogren , Chiara Daraio

We review the scattering from non-linear interfaces containing buckling elastic beams. An illustrative example is discussed here of scattering of linear elastic pressure waves from a two-mass system connected by a non-linear structured…

Classical Physics · Physics 2020-03-18 Domenico Tallarico , Natalia V. Movchan , Alexander B. Movchan

All metamaterial applications are based upon the idea that extreme material properties can be achieved through appropriate dynamic homogenization of composites. This homogenization is almost always done for infinite domains and the results…

Materials Science · Physics 2017-07-05 Ankit Srivastava , John R. Willis

Although metamaterials have been widely used for controlling elastic waves through bandgap engineering, the directed guidance of stress waves in non-periodic structures has remained a challenge. This work demonstrates that spatially graded…

Applied Physics · Physics 2023-10-20 Charles Dorn , Dennis M. Kochmann

We present a phenomenological approach to dispersion in nonlinear elasticity. A simple, thermomechanically sound, constitutive model is proposed to describe the (non-dissipative) properties of a hyperelastic dispersive solid, without…

Soft Condensed Matter · Physics 2013-03-12 Michel Destrade , Giuseppe Saccomandi

Metamaterials offer unprecedented flexibility for manipulating the optical properties of matter, including the ability to access negative index, ultra-high index and chiral optical properties. Recently, metamaterials with near-zero…

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