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In this paper we study the dynamics of metamaterials composed of high-contrast subwavelength resonators and show the existence of localised modes in such a setting. A crucial assumption in this paper is time-modulated material parameters.…

Analysis of PDEs · Mathematics 2025-01-13 Habib Ammari , Erik Orvehed Hiltunen , Liora Rueff

Localized states universally appear when a periodic potential is perturbed by defects or terminated at its surface. In this Letter, we theoretically and experimentally demonstrate a mechanism that generates localized states through…

Mesoscale and Nanoscale Physics · Physics 2020-02-25 Yosuke Nakata , Yoshitaka Ito , Yasunobu Nakamura , Ryuichi Shindou

Wave localization is ubiquitous in disordered media -- from amorphous materials, where soft-mode localization is closely related to materials failure, to semi-conductors, where Anderson localization leads to metal-insulator transition. Our…

Soft Condensed Matter · Physics 2020-07-30 Tingtao Zhou , Dimitrios Fraggedakis , Fan Wang

The many-body wave-function of an interacting one-dimensional electron system is probed, focusing on the low-density, strong interaction regime. The properties of the wave-function are determined using tunneling between two long, clean,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Steinberg , O. M. Auslaender , A. Yacoby , J. Qian , G. A. Fiete , Y. Tserkovnyak , B. I. Halperin , K. W. Baldwin , L. N. Pfeiffer , K. W. West

In this work we (i) extend previous 1D studies of electromagnetic (EM) wave propagation in an over-dense plasma-metamaterial composite into two spatial dimensions and (ii) study blocking of EM waves by the composite 2D structures…

Plasma Physics · Physics 2025-08-18 D. Tsiklauri , I. Morrison

In this paper, we discuss the transport phenomena of electromagnetic waves in a two-dimensional random system which is composed of arrays of electrical dipoles, following the model presented earlier by Erdogan, et al. (J. Opt. Soc. Am. B…

Soft Condensed Matter · Physics 2009-11-10 Ken Wang , Zhen Ye

We consider plasmonic metasurfaces constituted by an arbitrary periodic arrangement of spherical metallic nanoparticles. Each nanoparticle supports three degenerate dipolar localized surface plasmon (LSP) resonances. In the regime where the…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 François Fernique , Guillaume Weick

In this article the physics of horizontally polarized shear waves travelling across a locally resonant metasurface in an unconsolidated granular medium is experimentally and numerically explored. The metasurface is comprised of an…

Motivated by previous investigations on the radiative effects of the electric dipoles embedded in structured cavities, localization of electromagnetic waves in two dimensions is studied {\it ab initio} for a system consisting of many…

Disordered Systems and Neural Networks · Physics 2009-11-07 Zhen Ye , Sheng Li , Xin Sub

While metamaterials are often desirable for near-field functions, such as perfect lensing, or cloaking, they are often quantified by their response to plane waves from the far field. Here, we present a theoretical analysis of the local…

Optics · Physics 2016-03-01 Per Lunnemann , Femius A. Koenderink

We present a family of localized radiation modes in multilayered periodic media, where in-phase superposition of p-polarized waves leads to radiative confinement around the beam axis. Excitation of surface plasmon polaritons yields an…

Optics · Physics 2010-01-20 Juan J. Miret , Carlos J. Zapata-Rodriguez

We consider wave propagation along fluid-loaded structures which take the form of an elastic plate augmented by an array of resonators forming a metasurface, that is, a surface structured with sub-wavelength resonators. Such surfaces have…

Classical Physics · Physics 2017-05-24 E. A. Skelton , R. V. Craster , A. Colombi , D. J. Colquitt

A flexible wave localization is investigated using a spatial-temporal modulation of point defects along the periodic array of electromechanical local resonators of a piezoelectric bimorph beam. By changing the electrical resonance of…

Applied Physics · Physics 2022-02-01 Renan Lima Thomes , Danilo Beli , Carlos De Marqui

Spatially periodic modulation of the intersite coupling in two-dimensional (2D) nonlinear lattices modifies the eigenvalue spectrum by opening mini-gaps in it. This work aims to build stable localized modes in the new bandgaps. Numerical…

Pattern Formation and Solitons · Physics 2015-06-19 Goran Gligorić , Aleksandra Maluckov , Ljupčo Hadžievski , Boris A. Malomed

Metasurfaces based on resonant subwavelength photonic structures enable novel ways of wavefront control and light focusing, underpinning a new generation of flat-optics devices. Recently emerged all-dielectric metasurfaces exhibit…

This paper investigates the dynamics of compact localized modes in one-dimensional flat-band elastic lattices. Flat dispersion arises from destructive interference between neighboring elements, resulting in a zero group velocity across all…

Applied Physics · Physics 2024-12-10 Emanuele Riva , Jacopo Marconi , Francesco Braghin

Topological metamaterials unlock confined and robust elastic wave control in mechanical structures. Recent breakthroughs have precipitated the development of 3D topological mechanical metamaterials, which extend beyond the conventional 1D…

Applied Physics · Physics 2023-10-30 Patrick Dorin , Mustafa Khan , K. W. Wang

Mobility edge transitions from localized to extended states have been observed in two and three dimensional systems, for which sound theoretical explanations have also been derived. One-dimensional lattice models have failed to predict…

Quantum Physics · Physics 2018-06-06 Andre M. C. Souza , Roberto. F. S. Andrade

We analyze electromagnetic modes in multi-layered nano-composites and demonstrate that the response of a majority of realistic layered structures is strongly affected by the non-local effects originating from strong field oscillations…

We study the energy spectrum of a system of localized states coupled to a 2D electron gas in strong magnetic field. If the energy levels of localized states are close to the electron energy in the plane, the system exhibits a kind of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 T. V. Shahbazyan , S. E. Ulloa
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