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We introduce Bloch-wave beatings in arrays of multimode periodically bent waveguides with a transverse refractive index gradient. The new phenomenon manifests itself in the periodic drastic increase of the amplitude of the Bloch…

Optics · Physics 2015-06-19 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

New, fundamental resonant properties of laser resonators are theoretically predicted and experimentally demonstrated. These resonances occur either in the time dependence of the beam width and that of beam radius of curvature of the…

Optics · Physics 2015-06-05 A. Kohazi-Kis , J. Klebniczki , M. Gorbe , P. Nagy

In this work, we present a computational analysis of the planar wave propagation behavior of a one-dimensional periodic multi-stable cellular material. Wave propagation in these materials is interesting because they combine the ability of…

Applied Physics · Physics 2019-11-19 Camilo Valencia , David Restrepo , Nilesh D. mankame , Pablo D. Zavattieri , Juan Gomez

We discuss in detail the Bloch waves method for calculation of energy and orientation dependent scattering cross-section for inelastic scattering of electrons on crystals. Convergence properties are investigated and a new algorithm with…

Materials Science · Physics 2012-06-27 Jan Rusz , Shunsuke Muto , Kazuyoshi Tatsumi

Electronic properties and lattice dynamics of bulk $\varepsilon$-GaSe and mono-, bi- and tri-tetralayer GaSe are investigated by means of density functional and density functional perturbation theory. The few-tetralayers systems are…

We employ numerical simulations to understand the evolution of elastic standing waves in disordered frictional disk systems, where the dispersion relations of rotational sound modes are analyzed in detail. As in the case of frictional…

Soft Condensed Matter · Physics 2019-01-30 Kuniyasu Saitoh , Rohit K. Shrivastava , Stefan Luding

Elastic waves scattering off a periodic single and double array of thin cylindrical defects is considered for isotropic materials. An analytical expression for the scattering matrix is obtained by means of the Lippmann-Schwinger formalism…

Classical Physics · Physics 2022-10-18 Omer Haq , Sergei Shabanov

Grazing-angle scattering (GAS) is a type of Bragg scattering of waves in slanted non-uniform periodic gratings, when the diffracted order satisfying the Bragg condition propagates at a grazing angle with respect to the boundaries of a…

Optics · Physics 2007-05-23 D. K. Gramotnev , T. A. Nieminen

A metamaterial with frequency dependent double negative effective properties is constructed from a sub-wavelength periodic array of coated rods. Explicit power series are developed for the dispersion relation and associated Bloch wave…

Analysis of PDEs · Mathematics 2012-02-06 Yue Chen , Robert Lipton

The thickness vibrations of a finitely deformed infinite periodic laminate made out of two layers of dielectric elastomers is studied. The laminate is pre-stretched by inducing a bias electric field perpendicular the the layers. Incremental…

Soft Condensed Matter · Physics 2015-06-03 Gal Shmuel , Gal deBotton

Acoustic and elastic metamaterials with time- and space-dependent material properties have received great attention recently as a means to break reciprocity for propagating mechanical waves, achieving greater directional control. One…

Applied Physics · Physics 2021-10-06 Benjamin M. Goldsberry , Samuel P. Wallen , Michael R. Haberman

We theoretically investigate elastic waves propagating in metamaterials with simultaneous zero indices for both the longitudinal and transverse waves. With scattering objects (here cylinders) present in the metamaterials slabs, while the…

Materials Science · Physics 2015-09-29 Fengming Liu , Zhengyou Liu

We experimentally demonstrate the formation and stable propagation of various types of discrete temporal solitons in an optical fiber system. Pulses interacting with a time-periodic potential and defocusing nonlinearity are shown to form…

Pattern Formation and Solitons · Physics 2012-08-31 Christoph Bersch , Georgy Onishchukov , Ulf Peschel

We address an important issue of a dynamic homogenisation in vector elasticity for a doubly periodic mass-spring elastic lattice. The notion of logarithmically growing resonant waves is used in a complete analysis of star-shaped wave forms…

Analysis of PDEs · Mathematics 2013-10-29 Alexander Movchan , Leonid Slepyan

The dispersive wave propagation in a periodic metamaterial with tetrachiral topology and inertial local resonators is investigated. The Floquet-Bloch spectrum of the metamaterial is compared with that of the tetrachiral beam lattice…

Materials Science · Physics 2016-05-24 Andrea Bacigalupo , Giorgio Gnecco , Marco Lepidi , Luigi Gambarotta

We predict that optical Bloch oscillations can be observed in layered structures with left-handed metamaterials and zero average refractive index where the layer thickness varies linearly across the structure. We demonstrate a new type of…

We study two body dipolar scattering in two dimensions with a tilted polarization axis. This tilt reintroduces the anisotropic interaction in a controllable manner. As a function of this polarization angle we present the scattering results…

Atomic Physics · Physics 2011-10-20 Christopher Ticknor

The problem of pattern formation in resonantly-enhanced near-field lithography by the use of dielectric or plasmonic planar resonators is investigated. Sub-diffraction-limited bright or dark spots can be produced by taking advantage of the…

Optics · Physics 2008-04-22 Mankei Tsang , Demetri Psaltis

Beam lattice materials are characterized by a periodic microstructure realizing a geometrically regular pattern of elementary cells. In these microstructured materials, the dispersion properties governing the free dynamic propagation of…

Applied Physics · Physics 2019-11-04 F Vadalà , A Bacigalupo , M Lepidi , L Gambarotta

This paper introduces a micro-lattice based metamaterial for low frequency wide-band vibration attenuation, that is enabled by engineering the metamaterial's building blocks to induce local resonance bandgaps for elastic waves in all…

Applied Physics · Physics 2019-12-19 Nikhil JRK Gerard , Mourad Oudich , Yun Jing