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Metamaterials are effectively homogeneous materials that display extraordinary dispersion. Negative index metamaterials, zero index metamaterials and extremely anisotropic metamaterials are just a few examples. Instead of using locally…

While elastic metasurfaces offer a remarkable and very effective approach to the subwalength control of stress waves, their use in practical applications is severely hindered by intrinsically narrow band performance. This work introduces…

Applied Physics · Physics 2022-06-01 Hongfei Zhu , Timothy F. Walsh , Bradley H. Jared , Fabio Semperlotti

We investigate the emission of electromagnetic waves from biaxial subwavelength metamaterials. For tunable anisotropic structures that exhibit a vanishing dielectric response along a given axis, we find remarkable variation in the launch…

Optics · Physics 2011-08-24 Klaus Halterman , Simin Feng , Viet Cuong Nguyen

Recent interest in metamaterials has led to a renewed study of wave mechanics in different branches of physics. Elastodynamics involves a special intricacy, owing to a coupling between the volumetric and shear parts of the elastic waves.…

Applied Physics · Physics 2019-10-03 Ben Lustig , Guy Elbaz , Alan Muhafra , Gal Shmuel

Space-time metamaterials are redefining wave engineering by enabling fully dynamic four-dimensional control of electromagnetic fields, allowing simultaneous manipulation of frequency, amplitude, momentum, and propagation direction. This…

Optics · Physics 2025-11-26 Sajjad Taravati

The design of band-gap metamaterials, i.e., metamaterials with the capability to inhibit wave propagation of a specific frequency range, has numerous potential engineering applications, such as acoustic filters and vibration isolation…

Applied Physics · Physics 2024-07-17 Milan Jirásek , Martin Horák , Michal Šmejkal

Space-time-varying materials pledge to deliver nonreciprocal dispersion in linear systems by inducing an artificial momentum bias. Although such a paradigm eliminates the need for actual motion of the medium, experimental realization of…

Applied Physics · Physics 2020-02-18 M. A. Attarzadeh , J. Callanan , M. Nouh

In two space dimensions and one time dimension a wave changes its shape even in the absence of a dispersive medium. However, this anomalous dispersive behavior in empty two-dimensional space does not occur if the wave dynamics is described…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Carl M. Bender , Francisco J. Rodriguez , Sarben Sarkar , Anatoly V. Zayats

Following our recent theoretical and experimental results that show how zero-permittivity metamaterials may provide anomalous tunneling and energy squeezing through ultranarrow waveguide channels, here we report an experimental…

Materials Science · Physics 2009-11-13 Brian Edwards , Andrea Alu , Mario G. Silveirinha , Nader Engheta

Architected materials that control elastic wave propagation are essential in vibration mitigation and sound attenuation. Phononic crystals and acoustic metamaterials use band gap engineering to forbid certain frequencies from propagating…

Materials Science · Physics 2016-09-21 Kathryn H. Matlack , Anton Bauhofer , Sebastian Krödel , Antonio Palermo , Chiara Daraio

Mechanical and phononic metamaterials exhibiting negative elastic moduli, gapped vibrational spectra, or topologically protected modes enable precise control of structural and acoustic functionalities. While much progress has been made in…

Materials Science · Physics 2019-09-25 Henrik Ronellenfitsch , Norbert Stoop , Josephine Yu , Aden Forrow , Jörn Dunkel

Periodic structures can be engineered to exhibit unique properties observed at symmetry points, such as zero group velocity, Dirac cones and saddle points; identifying these, and the nature of the associated modes, from a direct reading of…

This note analytically investigates non-reciprocal wave dispersion in locally resonant acoustic metamaterials. Dispersion relations associated with space-time varying modulations of inertial and stiffness parameters of the base material and…

Applied Physics · Physics 2018-01-11 M. A. Attarzadeh , H. Al Ba'ba'a , M. Nouh

Motivated by recent theoretical and experimental interest in metamaterials comprising non-local coupling terms, we present an analytic framework to realise materials with arbitrary complex dispersion relations. Building on the inverse…

Applied Physics · Physics 2025-04-07 R. G. Edge , S. A. R. Horsley , T. A. Starkey , G. J. Chaplain

Elastic metamaterials are man-made structures with properties that transcend naturally occurring materials. One predominant feature of elastic metamaterials is locally resonant bandgaps, i.e., frequency ranges at which wave propagation is…

Applied Physics · Physics 2024-03-27 Hasan B. Al Ba'ba'a

Spatially periodic elastic metamaterials, comprising hard inclusions within a soft matrix in $d$-dimensional space ($d\geq 2$), exhibit a rich spectrum of physical phenomena. This paper investigates such a model and presents the following…

Analysis of PDEs · Mathematics 2025-09-09 Yixian Gao , Shuguan Ji , Shangling Song

Electromagnetic waves in vacuum and most materials have transverse polarization. Longitudinal electromagnetic waves with electric field parallel to wave vector are very rare and appear under special conditions in a limited class of media,…

Optics · Physics 2021-09-29 Denis Sakhno , Eugene Koreshin , Pavel A. Belov

New scientific investigations of artificially structured materials and experiments have exhibit wave manipulation to the extreme. In particular, zero refractive index metamaterials have been on the front line of wave physics research for…

Applied Physics · Physics 2018-02-14 Theodoros Koutserimpas , Romain Fleury

Flexible mechanical metamaterials are compliant structures engineered to achieve unique properties via the large deformation of their components. While their static character has been studied extensively, the study of their dynamic…

Applied Physics · Physics 2023-02-22 Bolei Deng , Jordan R. Raney , Katia Bertoldi , Vincent Tournat

Metamaterials are arrangement of basic building blocks that repeat in space, time, or both. These material systems serve as an excellent platform for controlling waves, such as engineering wavenumber band gaps, flat bands, and…

Applied Physics · Physics 2026-01-13 Mohamed A. Elgamal , Osama R. Bilal
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