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The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous…

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

偏微分方程分析 · 数学 2018-12-05 Liliana Borcea , Josselin Garnier

A study of the wave dynamics around a multiple fishing cage system is carried out under the assumption of the linear water wave theory and small-amplitude wave response. The Fourier--Bessel series expansion of the velocity potential is…

流体动力学 · 物理学 2021-06-30 Siluvai Antony Selvan , R. Gayathri , Harekrushna Behera , Michael H Meylan

An extended interference pattern close to surface may result in both a transmissive or evanescent surface fields for large area manipulation of trapped particles. The affinity of differing particle sizes to a moving standing wave light…

The scattering of electromagnetic waves by an obstacle is analyzed through a set of partial differential equations combining the Maxwell's model with the mechanics of fluids. Solitary type EM waves, having compact support, may easily be…

计算物理 · 物理学 2018-03-28 Daniele Funaro , Eugene Kashdan

We develop a weakly nonlinear model to study the spatiotemporal manifestation and the dynamical behavior of surface waves in the presence of an underlying interfacial solitary wave in a two-layer fluid system. We show that interfacial…

斑图形成与孤子 · 物理学 2019-07-29 Shixiao W. Jiang , Gregor Kovačič , Douglas Zhou

Bloch wavefunctions are used to derive dispersion relations for water wave propagation in the presence of an infinite array of periodically arranged surface scatterers. For one dimensional periodicity (stripes), band gaps for wavevectors in…

凝聚态物理 · 物理学 2007-05-23 Tom Chou

The roughness of glass surfaces after different stages of etching is investigated by reflection measurements with a spectrophotometer, light scattering, and atomic-force microscopy (in small scale), and Talysurf (in large scale). The…

光学 · 物理学 2007-05-23 G. R. Jafari , S. M. Mahdavi , A. Iraji zad , P. Kaghazchi

When propagating through periodically structured media, i. e. photonic crystals, optical waves will be modulated with the periodicity. As a result, the dispersion of waves will no longer behave as in a free space, and so called frequency…

材料科学 · 物理学 2009-11-10 Chao-Hsien Kuo , Zhen Ye

Drops impacting on a surface are ubiquitous in our everyday experience. This impact is understood within a commonly accepted hydrodynamic picture: it is initiated by a rapid shock and a subsequent ejection of a sheet leading to beautiful…

We analyze long range wave propagation in three-dimensional random waveguides. The waves are trapped by top and bottom boundaries, but the medium is unbounded in the two remaining directions. We consider scalar waves, and motivated by…

偏微分方程分析 · 数学 2012-11-05 Liliana Borcea , Josselin Garnier

The mechanism of acoustic wave propagation in supercooled liquids is not yet fully understood since the vibrational dynamics of supercooled liquids are strongly affected by their amorphous inherent structures. In this paper, the acoustic…

无序系统与神经网络 · 物理学 2012-11-16 Yuki Matsuoka , Hideyuki Mizuno , Ryoichi Yamamoto

Anderson localization is a multiple-scattering phenomenon of linear waves propagating within a disordered medium. Discovered in the late 50s for electrons, it has since been observed experimentally with cold atoms and with classical waves…

无序系统与神经网络 · 物理学 2024-07-10 Guillaume Ricard , Filip Novkoski , Eric Falcon

Steady-state and transient antiplane dynamic processes in a structured solids consisting of uniform periodic square-cell lattices connected by a lattice layer of different bond stiffnesses and point masses are analyzed. A semi-infinite…

材料科学 · 物理学 2011-12-12 Grigory Osharovich , Mark Ayzenberg-Stepanenko

The propagation of waves in highly inhomogeneous media is a problem of interest in multiple fields including seismology, acoustics and electromagnetism. It is also relevant for technological applications such as the design of sound…

无序系统与神经网络 · 物理学 2013-05-29 Antonio M. Garcia-Garcia , Emilio Cuevas

We give a detailed analysis of long range cumulative scattering effects from rough boundaries in waveguides. We assume small random fluctuations of the boundaries and obtain a quantitative statistical description of the wave field. The…

偏微分方程分析 · 数学 2011-11-07 Ricardo Alonso , Liliana Borcea , Josselin Garnier

Multi-scale wave propagation problems are computationally costly to solve by traditional techniques because the smallest scales must be represented over a domain determined by the largest scales of the problem. We have developed and…

数值分析 · 数学 2009-11-16 Bjorn Engquist , Henrik Holst , Olof Runborg

We present laboratory experiments of surface wave turbulence excited by paddles in the deep water regime. The free surface is seeded with buoyant particles that are advected and dispersed by the flow. Positions and velocities of the…

We consider wave propagation problems over 2-dimensional domains with piecewise-linear boundaries, possibly including scatterers. We assume that the wave speed is constant, and that the initial conditions and forcing terms are radially…

数值分析 · 数学 2025-03-14 Davide Pradovera , Monica Nonino , Ilaria Perugia

The propagation of an acoustic wave through two-phase porous media with spatial variation in porosity is studied. The evolutionary wave equation is derived, and the propagation of an acoustic wave is numerically analyzed in application to…

软凝聚态物质 · 物理学 2015-03-20 J. I. Osypik , N. I. Pushkina , Ya. M. Zhileikin