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We consider a simple two-dimemsional harmonic lattice with random, independent and identically distributed masses. Using the methods of stochastic homogenization, we show that solutions with long wave initial data converge in an appropriate…

偏微分方程分析 · 数学 2023-01-24 Joshua A. McGinnis

The propagation of high-frequency gravitational waves can be analyzed using the geometrical optics approximation. In the case of large but finite frequencies, the geometrical optics approximation is no longer accurate, and…

广义相对论与量子宇宙学 · 物理学 2021-03-03 Lars Andersson , Jérémie Joudioux , Marius A. Oancea , Ayush Raj

The irreducible representations of the extended Galilean group are used to derive the symmetric and asymmetric wave equations. It is shown that among these equations only a new asymmetric wave equation is fundamental. By being fundamental…

经典物理 · 物理学 2023-04-17 Z. E. Musielak

We investigate the optical transmission spectra for $s$-polarized (TE) and $p$-polarized (TM) waves in one-dimensional photonic quasicrystals on a quasiperiodic multilayer structure made up by alternate layers of SiO$_{2}$ and…

材料科学 · 物理学 2016-11-24 E. R. Brandao , M. S. Vasconcelos , D. H. A. L. Anselmo

We study the propagation of radio waves through a medium possessing density fluctuations that are elongated along the ambient magnetic field and described by an anisotropic Goldreich-Sridhar power spectrum. We derive general formulas for…

天体物理学 · 物理学 2009-11-07 B. D. G. Chandran , D. C. Backer

We study the optical response of a 2D square lattice of atoms using classical electrodynamics. Due to dipole-dipole interactions, the lattice atoms polarize as if the lattice were an atom with up to three resonance frequencies, with…

原子物理 · 物理学 2019-07-18 Juha Javanainen , Renuka Rajapakse

Numerical simulations shed light on control of shear elastic wave propagation in plates structured with inertial resonators. The structural element is composed of a heavy core connected to the main freestanding plate through tiny ligaments.…

材料科学 · 物理学 2015-07-21 Younes Achaoui , André Diatta , Sébastien Guenneau

The discovery of topological phases of matter, initially driven by theoretical advances in quantum condensed matter physics, has been recently extended to classical wave systems, reaching out to a wealth of novel potential applications in…

介观与纳米尺度物理 · 物理学 2023-06-30 Nicolas Laforge , Vincent Laude , Franck Chollet , Abdelkrim Khelif , Muamer Kadic , Yuning Guo , Romain Fleury

We investigate the occurrence of anomalous diffusive transport associated with acoustic wave fields propagating through highly-scattering periodic media. Previous studies had correlated the occurrence of anomalous diffusion to either the…

无序系统与神经网络 · 物理学 2019-03-27 Salvatore Buonocore , Mihir Sen , Fabio Semperlotti

We theoretically investigate dispersion of plasma waves propagating in a lateral plasmonic crystal based on a two-dimensional electron system with grating gates. Two specific configurations are analyzed: a system with single grating gate…

介观与纳米尺度物理 · 物理学 2026-01-27 I. V. Gorbenko , P. A. Gusikhin , V. Yu. Kachorovskii , V. M. Muravev

Propagating, solitary magnetic wave solutions of the Landau-Lifshitz equation with uniaxial, easy-axis anisotropy in thin (two-dimensional) magnetic films are investigated. These localized, nontopological wave structures, parametrized by…

斑图形成与孤子 · 物理学 2012-03-20 M. A. Hoefer , M. Sommacal

We present a mathematical formalism describing the propagation of a completely general electromagnetic wave in a birefringent medium. Analytic formulas for the refraction and reflection from a plane interface are obtained. As a particular…

光学 · 物理学 2008-11-27 S. Hacyan , R. Jauregui

We review both theoretical and experimental advances in the recently emerged physics of modulated photonic lattices. Artificial periodic dielectric media, such as photonic crystals and photonic lattices, provide a powerful tool for the…

We calculate the dispersion relations of plasmonic waves propagating along a chain of semiconducting or metallic nanoparticles in the presence of both a static magnetic field ${\bf B}$ and a liquid crystalline host. The dispersion relations…

介观与纳米尺度物理 · 物理学 2016-03-17 Nicholas A. Pike , David Stroud

The periodic cellular topology characterizing the microscale structure of a heterogeneous material may allow the finest functional customization of its acoustic dispersion properties. The paper addresses the free propagation of elastic…

应用物理 · 物理学 2018-03-12 Francesca Vadalà , Andrea Bacigalupo , Marco Lepidi , Luigi Gambarotta

Nonreciprocity in space-time modulated photonic crystals has been investigated in the context of nonreciprocal propagation and polarization. Here, we investigate a reconfigurable nonreciprocal wave growth in space-time modulated crystals.…

应用物理 · 物理学 2023-11-07 Mohamed F. Hagag , Thomas R. Jones , Karim Seddik , Dimitrios Peroulis

We investigate the characteristics of magneto-acoustic surface waves propagating at a single density interface, in the presence of an inclined magnetic field. For linear wave propagation, dispersion relation is obtained and analytical…

太阳与恒星天体物理 · 物理学 2018-10-17 E. Vickers , I. Ballai , R. Erdélyi

We study wave propagation in two-dimensional granular crystals under the Hertzian contact law consisting of hexagonal packings of spheres under various basin geometries including hexagonal, triangular, and circular basins which can be tiled…

斑图形成与孤子 · 物理学 2019-01-01 Tianshu Hua , Robert A. Van Gorder

This paper is devoted to study the propagation of light beams carrying orbital angular momentum in optically anisotropic media. We first review some properties of homogeneous anisotropic media, and describe how the paraxial formalism is…

光学 · 物理学 2015-05-28 Antonio Picón , Albert Benseny , Jordi Mompart , Gabriel F. Calvo

Wave propagation in spatially periodic media, such as photonic crystals, can be qualitatively different from any uniform substance. The differences are particularly pronounced when the electromagnetic wavelength is comparable to the…

光学 · 物理学 2007-05-23 A. Figotin , I. Vitebskiy