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Acoustic wave fields propagating long ranges through the ocean are refracted by the inhomogeneities in the ocean's sound speed profile. Intuitively, for a given acoustic source frequency, the inhomogeneities become ineffective at refracting…

大气与海洋物理 · 物理学 2007-05-23 Katherine C. Hegewisch , Nicholas R. Cerruti , Steven Tomsovic

We present a study of sound wave propagation in a time dependent random medium and an application to imaging. The medium is modeled by small temporal and spatial random fluctuations in the wave speed and density, and it moves due to an…

偏微分方程分析 · 数学 2018-06-19 Liliana Borcea , Josselin Garnier , Knut Solna

The effect of coordination on transport is investigated theoretically using random networks of springs as model systems. An effective medium approximation is made to compute the density of states of the vibrational modes, their energy…

软凝聚态物质 · 物理学 2015-05-14 Matthieu Wyart

We are interested in a time harmonic acoustic problem in a waveguide with locally perturbed sound hard walls. We consider a setting where an observer generates incident plane waves at $-\infty$ and probes the resulting scattered field at…

偏微分方程分析 · 数学 2017-09-19 Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Sergei A. Nazarov

Measurements of seismic wave travel times at the photosphere of the Sun have enabled inferences of its interior structure and dynamics. In interpreting these measurements, the simplifying assumption that waves propagate through a temporally…

地球与行星天体物理 · 物理学 2015-06-16 Shravan Hanasoge , Laurent Gizon , Guillaume Bal

This work concerns the analysis of wave propagation in random media. Our medium of interest is sea ice, which is a composite of a pure ice background and randomly located inclusions of brine and air. From a pulse emitted by a source above…

偏微分方程分析 · 数学 2018-05-09 Wenjia Jing , Olivier Pinaud

We consider the scalar Helmholtz equation with variable, discontinuous coefficients, modelling transmission of acoustic waves through an anisotropic penetrable obstacle. We first prove a well-posedness result and a frequency-explicit bound…

偏微分方程分析 · 数学 2022-09-20 Théophile Chaumont-Frelet , Euan A. Spence

We present preliminary results on a novel numerical method describing wave propagation in non-uniform media. Following Huygens-Fresnel' principle, we model the wavefront as an array of point sources that emit wavelets, which interfere. We…

计算物理 · 物理学 2016-06-14 F. A. Volpe , P. -D. Letourneau , A. Zhao

Transmission through a subwavelength terahertz fiber, which is positioned in parallel to a frequency selective surface, is studied using several finite element tools. Both the band diagram technique and the port-based scattering matrix…

光学 · 物理学 2015-06-16 Martin Girard , Maksim Skorobogatiy

We study an inverse source problem for the acoustic wave equation in a random waveguide. The goal is to estimate the source of waves from measurements of the acoustic pressure at a remote array of sensors. The waveguide effect is due to…

偏微分方程分析 · 数学 2015-02-25 Sebastian Acosta , Ricardo Alonso , Liliana Borcea

We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are…

数学物理 · 物理学 2021-10-14 A. Delitsyn , D. S. Grebenkov

Temporal interference between direct and surface-reflected paths induces large variation in the group speed of an acoustic signal between a source and receiver. This speed goes to zero when the source and receiver approach one another and…

An approximate analytical approach to describe the stochastic motion of sound rays in deep ocean is developed. This is done for a realistic propagation model with an internal wave induced perturbation imposed on the smooth background sound…

混沌动力学 · 物理学 2007-05-23 A. L. Virovlyansky

Sound scattering by a finite width beam on a single rigid body rotation vortex flow is detected by a linear array of transducers (both smaller than a flow cell), and analyzed using a revised scattering theory. Both the phase and amplitude…

混沌动力学 · 物理学 2009-11-10 Sh. Seifer , V. Steinberg

Heterogeneity can be accounted for by a random potential in the wave equation. For acoustic waves in a fluid with fluctuations of both density and compressibility (as well as for electromagnetic waves in a medium with fluctuation of both…

经典物理 · 物理学 2016-12-07 Ibrahim Baydoun , Diego Baresch , Romain Pierrat , Arnaud Derode

This paper considers the inverse problem of scattering of time-harmonic acoustic and electromagnetic plane waves by a bounded, inhomogeneous, penetrable obstacle with embedded objects inside. A new method is proposed to prove that the…

偏微分方程分析 · 数学 2017-06-14 Jiaqing Yang , Bo Zhang , Haiwen Zhang

This paper is concerned with the development of imaging methods to localize sources or reflectors in inhomogeneous moving media with acoustic waves that have travelled through them. A typical example is the localization of broadband…

流体动力学 · 物理学 2020-12-30 Etienne Gay , Luc Bonnet , Christophe Peyret , Éric Savin , Josselin Garnier

Energy transmission over long distances by waves is a key mechanism for many natural processes. This possibility arises when an inhomogeneous medium is arranged in such a manner that it enables a certain type of wave to propagate with…

流体动力学 · 物理学 2026-05-05 Semyon Churilov

Inhomogeneities in wave propagation conditions near and below the solar surface have been detected by means of time-distance helioseismology. Here we calculate the effect of temperature inhomogeneities on the travel times of sound waves. A…

天体物理学 · 物理学 2015-06-24 M. Brüggen , H. C. Spruit

We investigate the sound propagation in an air-filled tube periodically loaded with Helmholtz resonators. By tuning the Helmholtz with the Bragg resonance, we study the efficiency of slow sound propagation in the presence of the intrinsic…

材料科学 · 物理学 2015-06-18 G. Theocharis , O. Richoux , V. Romero-García , V. Tournat
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