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This paper describes an investigation of the acoustic properties of a rigid plate with a periodic pattern of holes, in a compressible, ideal, inviscid fluid in the absence of mean flow. Leppington and Levine (J. Fluid Mech., 1973) obtained…

Numerical Analysis · Mathematics 2015-06-18 S. Laurens , E. Piot , A. Bendali , M'B. Fares , S. Tordeux

We report a new type of phononic crystals with topologically non-trivial bandgaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves. In our design, gyroscopic inertial effects are used to…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Pai Wang , Ling Lu , Katia Bertoldi

This paper investigates the pseudo-spin based edge states for flexural waves in a honeycomb perforated phononic plate, which behaves an elastic analogue of the quantum spin Hall effect. We utilize finite element method to analyse the…

Applied Physics · Physics 2018-07-20 Linyun Yang , Kaiping Yu , Ying Wu , Rui Zhao , Shuaishuai Liu

Wave turbulence in a thin elastic plate is experimentally investigated. By using a Fourier transform profilometry technique, the deformation field of the plate surface is measured simultaneously in time and space. This enables us to compute…

Chaotic Dynamics · Physics 2009-10-29 Pablo Cobelli , Philippe Petitjeans , Agnes Maurel , Vincent Pagneux , Nicolas Mordant

This paper discusses the properties of flexural waves obeying the biharmonic equation, propagating in a thin plate pinned at doubly-periodic sets of points. The emphases are on the properties of dispersion surfaces having the Dirac cone…

Mathematical Physics · Physics 2015-08-19 R. C. McPhedran , A. B. Movchan , N. V. Movchan , M. Brun , M. J. A. Smith

Surface acoustic waves are commonly used in a variety of radio-frequency electrical devices as a result of their operation at high frequencies and robust nature. For devices based on Rayleigh-like plane waves, functionality is based on the…

Applied Physics · Physics 2024-11-05 Karanpreet Singh , Gabe Wilson , James A. H. Stotz

We report on the design and experimental validation of a two-dimensional phononic elastic waveguide exhibiting topological Valley-Hall edge states. The lattice structure of the waveguide is inspired by the diatomic graphene and it is…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Hongfei Zhu , Ting-Wei Liu , Fabio Semperlotti

Topological defects (including disclinations and dislocations) which commonly exist in various materials have shown an amazing ability to produce excellent mechanical and physical properties of matters. In this paper, disclinations and…

Materials Science · Physics 2021-02-16 Baizhan Xia , Liang Tong , Jie Zhang , Shengjie Zheng , Xianfeng Man

An analysis is presented of frequency versus wave-vector dispersion in elliptically birefringent one-dimensional layered periodic structures. The presence of local normal mode polarization state variations from one layer to the next is…

Optics · Physics 2007-08-06 Amir A Jalali , Miguel Levy

In this paper we suggest a simple analytical method for description of electromagnetic properties of a geometrically regular two-dimensional subwavelength arrays (metasurfaces) formed by particles with randomly fluctuating polarizabilities.…

Hyperbolic lattices are a revolutionary platform for tabletop simulations of holography and quantum physics in curved space and facilitate efficient quantum error correcting codes. Their underlying geometry is non-Euclidean, and the absence…

Strongly Correlated Electrons · Physics 2022-03-23 Igor Boettcher , Alexey V. Gorshkov , Alicia J. Kollár , Joseph Maciejko , Steven Rayan , Ronny Thomale

In this study, we experimentally investigate the photonic dispersion in one-dimensional moir\'e structures formed by stacking two photonic crystal slabs with slightly different periods, separated by a carefully controlled subwavelength…

Band structure analysis is central to understanding wave propagation in periodic media; however, it becomes challenging in open systems owing to energy leakage. Photonic crystal (PhC) slabs exemplify such systems, featuring periodicity in…

Optics · Physics 2026-03-20 Jie Liu , Ziyun Peng , Qianju Song , Ang Chen , Liping Yang , Chunxiong Zheng , Dezhuan Han

A novel type of one-dimensional (1D) photonic crystal formed by the array of periodically located stacks of alternating graphene and dielectric stripes embedded into a background dielectric medium is proposed. The wave equation for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Oleg L. Berman , Roman Ya. Kezerashvili

Platonic crystals (PCs) are the elastic plate analogue of the photonic crystals widely used in optics, and are thin structured elastic plates along which flexural waves cannot propagate within certain stop band frequency intervals. The…

Materials Science · Physics 2013-04-30 Tryfon Antonakakis , Richard Craster , Sébastien Guenneau

We demonstrate that the spatial profiles of both propagating and evanescent Bloch-modes in a periodic structure can be extracted from a single measurement of electric field at the specified optical wavelength. We develop a systematic…

The multiple scattering formalism is proposed describing the guided modes in the optical waveguide array within the framework of macroscopic electrodynamics. It is shown that, under sufficiently general assumptions, our approach justifies…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 M. I. Gozman , I. Ya Polishchuk

A method based on the Fast Fourier Transform is proposed to obtain the dispersion relation of acoustic waves in heterogeneous periodic media with arbitrary microstructures. The microstructure is explicitly considered using a voxelized…

Materials Science · Physics 2021-06-24 J. Segurado , R. A. Lebensohn

We propose a new type of platonic crystal. The proposed microstructured plate includes snail resonators with low-frequency resonant vibrations. The particular dynamic effect of the resonators are highlighted by a comparative analysis of…

Classical Physics · Physics 2018-09-26 M. Morvaridi , G. Carta , M. Brun

We investigate the electromagnetic propagation in two-dimensional photonic crystals, formed by parallel dielectric cylinders embedded a uniform medium. The frequency band structure is computed using the standard plane-wave expansion method,…

Optics · Physics 2009-11-10 Liang-Shan Chen , Chao-Hsien Kuo , Zhen Ye