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The spatio-temporal dynamics of the deformation of a vibrated plate is measured by a high speed Fourier transform profilometry technique. The space-time Fourier spectrum is analyzed. It displays a behavior consistent with the premises of…

Chaotic Dynamics · Physics 2011-07-13 Nicolas Mordant

Recent years have heralded the introduction of metasurfaces that advantageously combine the vision of sub- wavelength wave manipulation, with the design, fabrication and size advantages associated with surface excitation. An important topic…

Surface plasmon modes supported by graphene ribbon waveguides are studied and classified. The properties of both modes with the field concentration within the ribbon area (waveguiding modes) and on the edges (edge modes) are discussed. The…

Other Condensed Matter · Physics 2015-05-30 A. Yu. Nikitin , F. Guinea , F. J. Garcia-Vidal , L. Martin-Moreno

Inspired by transformation optics and photonic crystals, this paper presents a computational investigation into the interaction between water surface waves and array waveguides of cylinders with multiple previously unexplored lattice…

Fluid Dynamics · Physics 2025-06-17 Joseph A. Smerdon , Sam Coates , Bogdan J. Matuszewski , Benedict D. Rogers

In-plane wave propagation in a periodic rectangular grid beam structure, which includes rotational inertia (so-called 'Rayleigh beams'), is analyzed both with a Floquet-Bloch exact formulation for free oscillations and with a numerical…

Classical Physics · Physics 2018-07-18 G. Bordiga , L. Cabras , D. Bigoni , A. Piccolroaz

Phononic crystals (PCs) are periodic structures obtained by the spatial arrangement of materials with contrasting properties, which can be designed to efficiently manipulate mechanical waves. Plate structures can be modeled using the…

e investigate both experimentally and theoretically the waveguiding properties of a novel double trench waveguide where a conventional single-mode strip waveguide is embedded in a two dimensional photonic crystal (PhC) slab formed in…

Optics · Physics 2009-11-10 Yu. A. Vlasov , N. Moll , S. J. McNab

We develop a semi-analytical model to describe bound states in the continuum (BICs) in photonic crystal slabs. We model leaky modes supported by photonic crystal slabs as a transverse Fabry-Perot resonance composed of a few propagative…

This paper presents a numerical investigation of acoustic wave propagation in an obstacle with periodically time-modulated material parameters. We focus on the numerical construction of Floquet$-$Bloch solutions, which are quasi-periodic…

Numerical Analysis · Mathematics 2025-07-22 Jörg Nick , Ralf Hiptmair , Habib Ammari

Topological phononics offers numerous opportunities in manipulating elastic waves that can propagate in solids without being backscattered. Due to the lack of nanoscale imaging tools that aid the system design, however, acoustic topological…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Qicheng Zhang , Daehun Lee , Lu Zheng , Xuejian Ma , Shawn I. Meyer , Li He , Han Ye , Ze Gong , Bo Zhen , Keji Lai , A. T. Charlie Johnson

In this work we theoretically study the interface acoustic states of resonators on a thin plate with topologically protected and conventional designs. Topologically protected interface state is first analyzed by employing the conception of…

Materials Science · Physics 2018-09-12 Yabin Jin , Daniel Torrent , Bahram Djafari-Rouhani

This work addresses the problem of elastic scattering through a localized impurity in a one-dimensional crystal with sublattice freedom degrees. The impurity yields long-range interferences in the local density of states known as Friedel…

Mesoscale and Nanoscale Physics · Physics 2017-11-20 C. Dutreix , P. Delplace

We study the influence of the space and time dispersion on the frequency dependence of the wave vectors of electromagnetic waves propagating in three-dimensional photonic crystals. Two types of structures are considered: media with weak…

Other Condensed Matter · Physics 2007-05-23 F. Bass , V. Freilikher , O. Shefranova

In this paper, we investigate the band properties of 2D honeycomb plasmonic lattices consisting of metallic nanoparticles. By means of the coupled dipole method and quasi-static approximation, we theoretically analyze the band structures…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 Li Wang , Ruo-Yang Zhang , Meng Xiao , Dezhuan Han , C. T. Chan , Weijia Wen

We develop a high order accurate numerical method for solving the elastic wave equation in second-order form. We hybridize the computationally efficient Cartesian grid formulation of finite differences with geometrically flexible…

Numerical Analysis · Mathematics 2025-02-04 Andreas Granath , Siyang Wang

We develop a general theory for twisted bilayer photonic crystals that takes into account both far-field response and near-field coupling. The theory is based on the framework of a generalized Rayleigh-Schr\"odinger perturbation theory for…

Optics · Physics 2025-09-30 Shupeng Xu , Dun Wang , Ritesh Agarwal

A complete methodology, based on a two-scale asymptotic approach, that enables the homogenisation of elastic lattices at non-zero frequencies is developed. Elastic lattices are distinguished from scalar lattices in that two or more types of…

Classical Physics · Physics 2014-07-09 D. J. Colquitt , R. V. Craster , M. Makwana

Advances in graphene plasmonics offer numerous opportunities for enabling the design and manufacture of a variety of nanoelectronics and other exciting optical devices. However, due to the limitation of material properties, its operating…

Applied Physics · Physics 2020-12-29 Li-Zheng Yin , Tie-Jun Huang , Di Wang , Pu-Kun Liu

We introduce the stochastic band structure, a method giving the dispersion relation for waves propagating in periodic media or along waveguides, and subject to material loss or radiation damping. Instead of considering an explicit or…

Computational Physics · Physics 2023-06-30 Vincent Laude , Maria E. Korotyaeva

This article presents experimental results on properties of waves propagating in an unbounded and a bounded photonic crystal consisting of metallic cylinders which are arranged in a triangular lattice. First, we present transmission…

Other Condensed Matter · Physics 2012-02-09 S. Bittner , B. Dietz , M. Miski-Oglu , A. Richter