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Metamaterials can enable peculiar static and dynamic behavior (such as negative effective mass density, dynamical stiffness, and Poisson's ratio) due to their geometry rather than their chemical composition. The geometry of these…

Soft Condensed Matter · Physics 2022-01-03 Audrey A. Watkins , Austin Eichelberg , Osama R. Bilal

This work investigates wave propagation in undulated square structural lattices. The undulated pattern is obtained by imposing an initial curvature to the lattice's elements. The study considers both periodic undulated structures, in which…

Materials Science · Physics 2015-12-02 Giuseppe Trainiti , Julian J. Rimoli , Massimo Ruzzene

We develop a formalism for the calculation of the frequency band structure of a phononic crystal consisting of non-overlapping elastic spheres, characterized by Lam\'e coefficients which may be complex and frequency dependent, arranged…

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

We present a comprehensive method for determining {both exact and approximate} dispersion {relations} for one-dimensional {resonant phononic} crystals, applicable to a wide range of structures, regardless of their specific characteristics.…

Applied Physics · Physics 2026-01-21 Mario Lázaro , Richard Wiltshaw , Richard V. Craster , Vicent Romero-García

Sorting and assigning phonon branches (e.g., longitudinal acoustic) of phonon modes is important for characterizing the phonon bands of a crystal and the determination of phonon properties such as the Gr\"uneisan parameter and group…

Materials Science · Physics 2021-01-26 Chee Kwan Gan , Zhun-Yong Ong

We investigate Fano-type anomalous transmission of energy of plane waves across lossless slab scatterers with periodic structure in the presence of non-robust guided modes. Our approach is based on rigorous analytic perturbation of the…

Mathematical Physics · Physics 2008-04-22 Natalia Ptitsyna , Stephen P. Shipman , Stephanos Venakides

We study theoretically the mode conversion and the associated resonant absorption of p-polarized electromagnetic waves into longitudinal plasma oscillations in cold, unmagnetized and stratified plasmas with periodic spatial density…

Plasma Physics · Physics 2016-04-05 Dae Jung Yu , Kihong Kim

We analyze the phonon spectra of periodic structures formed by two-dimensional mixtures of dipolar colloidal particles. These mixtures display an enormous variety of complex ordered configurations [J. Fornleitner {\it et al.}, Soft Matter…

Soft Condensed Matter · Physics 2013-05-29 J. Fornleitner , G. Kahl , C. N. Likos

Long-living coupled transverse and longitudinal phonon modes are explored in dense and regular arrangements of flat microfluidic droplets. The collective oscillations are driven by hydrodynamic interactions between the confined droplets and…

Soft Condensed Matter · Physics 2024-06-03 Jean-Baptiste Fleury , Ulf D Schiller , Shashi Thutupalli , Gerhard Gompper , Ralf Seemann

Two-dimensional ternary locally resonant phononic crystals used to consist of cylindrical scatterers with uniform coatings in their exterior. An alternative coating scheme with a comblike profile is proposed and investigated in this letter.…

Materials Science · Physics 2013-12-05 Yan-Feng Wang , Yue-Sheng Wang , Litian Wang

Topological insulators, first observed in electronic systems, have inspired many analogues in photonic and phononic crystals in which remarkable one-way propagation edge states are supported by topologically nontrivial bandgaps. Such…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Ze-Guo Chen , Ying Wu

We show both experimentally and theoretically the evanescent behaviour of modes in the Band Gap (BG) of finite Phononic Crystal (PC). Based on experimental and numerical data we obtain the imaginary part of the wave vector in good agreement…

The transformation media concept based on the form-invariant Maxwell's equations under coordinate transformations has opened up new possibilities to manipulate the electromagnetic fields. In this paper we report on applying the…

Optics · Physics 2008-06-06 Xiaofei Xu , Yijun Feng , Tian Jiang

We analyze, by the finite-difference time-domain numerical methods, several ways to enhance the directional emission from photonic crystal waveguides through the beaming effect recently predicted by Moreno et al. [Phys. Rev. E 69, 121402(R)…

Optics · Physics 2009-11-10 Steven K. Morrison , Yuri S. Kivshar

In solid state physics, a bandgap (BG) refers to a range of energies where no electronic states can exist. This concept was extended to classical waves, spawning the entire fields of photonic and phononic crystals where BGs are frequency…

Applied Physics · Physics 2023-05-23 Mourad Oudich , Nikhil JRK Gerard , Yuanchen Deng , Yun Jing

We present graphic results with high-levels of abstraction to desribe the basic principles and rules of thumb for acoustic or phononic band-gap engineering. We use these rules for developing an improved machien mount for damping acoustic…

Materials Science · Physics 2007-08-28 E. A. Rietman , J. M. Glynn

The resonance wavelength, where a fiber mode converter grating written using periodic external perturbations achieves phase matching, is both a critical design parameter and a device parameter. However, a method to precisely predict the…

Optics · Physics 2020-10-14 Soham Basu

Periodically structured materials can sustain both optical and mechanical excitations which are tailored by the geometry. Here we analyze the properties of dispersively coupled planar photonic and phononic crystals: optomechanical crystals.…

In this paper, we discuss the possibility of achieving tunable topologically protected edge modes through the application of uniaxial deformation in an auxetic metamaterial. The proposed structure consists of a thin slab with oriented cuts…

We study optical coefficients that characterize wave propagation through layered structures called plasmonic crystals. These consist of a finite number of stacked metallic sheets embedded in dielectric hosts with a subwavelength spacing. By…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Matthias Maier , Mitchell Luskin , Dionisios Margetis