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The iso-frequency contours of a photonic crystal are important for predicting and understanding exotic optical phenomena that are not apparent from high-symmetry band structure visualizations. Here, we demonstrate a method to directly…

This paper employs layer potential techniques to investigate wave scattering in two-dimensional elastic media exhibiting high contrasts in both Lam\'{e} parameters and density. Our contributions are fourfold. First, we construct an…

Analysis of PDEs · Mathematics 2025-10-03 Yuanchun Ren , Yixian Gao

The investigation of metasurface, which is of great current interest, has opened up new degrees of freedom to research metamaterials. In this paper, we propose an ultrathin acoustic metasurface consisting of a series of structurally simple…

Classical Physics · Physics 2016-06-03 Shilong Zhai , Changlin Ding , Huaijun Chen , Song Liu , Chunrong Luo , Xiaopeng Zhao

Designing metamaterials with the required band structure, topology and chirality using nano-fabrication technology revolutionises modern science and impacts daily life. The approach of this work is, however, different. We take a periodic…

Optics · Physics 2022-10-11 Z. Fan , D. N. Puzyrev , D. V. Skryabin

In this article we introduce a technique for finding resonance radii in a disk galaxy. We use a two-dimensional velocity field in H{\alpha} emission obtained with Fabry-Perot interferometry, derive the classical rotation curve, and subtract…

Astrophysics of Galaxies · Physics 2015-05-30 Joan Font , John E. Beckman , Benoît Epinat , Kambiz Fathi , Leonel Gutiérrez , Olivier Hernandez

Anisotropies of Young's modulus E, the shear modulus G, and Poisson's ratio of all 2D symmetry systems are studied. Simple necessary and sufficient conditions on their elastic compliances are derived to identify if any of these crystals are…

Materials Science · Physics 2007-05-23 Cz. Jasiukiewicz , T. Paszkiewicz , S. Wolski

We develop a theoretical framework, based on a multipole, quasi-static approach, for the prediction of the localized surface plasmon resonances in Fanoshells formed via geometrical symmetry-breaking in multilayer nanoshells consisting of a…

Optics · Physics 2022-01-12 Luke C. Ugwuoke , Tjaart P. J. Krüger

Acoustic black holes represent a special class of metastructures allowing efficient absorption based on the slow sound principle. The decrease of the wave speed is associated with the spatial variation of acoustic impedance, while the…

Linear and nonlinear mechanisms for conical wave propagation in two-dimensional lattices are explored in the realm of phononic crystals. As a prototypical example, a statically compressed granular lattice of spherical particles arranged in…

Pattern Formation and Solitons · Physics 2016-02-17 C. Chong , P. G. Kevrekidis , M. J. Ablowitz , Yi-Ping Ma

Atomic-scale disorder can create hidden optical anisotropy even in crystals that are structurally cubic on average. Here, we show that CuInSnS$_4$ single crystals host locally symmetry-broken environments arising from intrinsic In/Sn cation…

Chiral phonons have been identified in several chiral crystals, primarily in those with trigonal symmetry and threefold screw axes. In this study, chiral phonons in CrSi$_2$, a chiral crystal with a sixfold helical structure, were…

Materials Science · Physics 2026-02-20 Gakuto Kusuno , Shingo Kisanuki , Yusuke Kousaka , Yoshihiko Togawa , Takuya Satoh

Defects in the atomic structure of crystalline materials may spawn electronic bound states, known as \emph{defect states}, which decay rapidly away from the defect. Simplified models of defect states typically assume the defect is…

Analysis of PDEs · Mathematics 2022-08-23 Jianfeng Lu , Jeremy L. Marzuola , Alexander B. Watson

Following the discovery of moir\'e-driven superconductivity in twisted graphene multilayers, twistronics has spurred a surge of interest in tailored broken symmetries through angular rotations, enabling new properties from electronics to…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Simon Yves , Emanuele Galiffi , Xiang Ni , Enrico Maria Renzi , Andrea Alù

Acoustic vibrations of nanoparticles made of materials with anisotropic elasticity and nanoparticles with non-spherical shapes are theoretically investigated using a homogeneous continuum model. Cubic, hexagonal and tetragonal symmetries of…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 Lucien Saviot , Daniel B. Murray

We study the effect of planar defects in phononic crystals of spherical scatterers. It is shown that a plane of impurity spheres introduces modes of vibration of the elastic field localized on this plane at frequencies within a frequency…

Materials Science · Physics 2009-10-31 I. E. Psarobas , N. Stefanou , A. Modinos

The ability to control wave propagation is of fundamental interest in many areas of physics. Photonic and phononic crystals have proved very useful for this purpose but, because they are based on Bragg interference, these artificial media…

Analysis of PDEs · Mathematics 2020-09-15 Habib Ammari , Brian Fitzpatrick , Erik Orvehed Hiltunen , Sanghyeon Yu

We reveal a triangular-lattice planar photonic crystal supports Bloch modes with radially and azimuthally symmetric electric field distributions at the top band-edge of the first photonic band. Bifurcated from the corresponding Bloch modes,…

Optics · Physics 2017-09-26 Kang Chang , Liang Fang , Chenyang Zhao , Jianlin Zhao , Xuetao Gan

Mathematical modeling of resonant waves propagating in 2D periodic infinite lattices is conducted. Rectangular-cell, triangular-cell and hexagonal-cell lattices are considered. Eigenvalues (here eigenfrequencies) of steady-state problems…

Mathematical Physics · Physics 2011-08-02 G. Osharovich , M. Ayzenberg-Stepanenko

We consider light scattering off a two-dimensional (2D) dipolar array and show how it can be tailored by properly choosing the lattice constant of the order of the incident wavelength. In particular, we demonstrate that such arrays can…

Quantum Physics · Physics 2017-03-22 Ephraim Shahmoon , Dominik S. Wild , Mikhail D. Lukin , Susanne F. Yelin

We reveal that finite-size solid acoustic resonators can support genuine bound states in the continuum (BICs) completely localized inside the resonator. The developed theory provides the multipole classification of such BICs in the…

Classical Physics · Physics 2022-03-14 Ilya Deriy , Ivan Toftul , Mihail Petrov , Andrey Bogdanov
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