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相关论文: Kinetic modeling of multiple scattering of acousti…

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In this paper we develop a multiple scattering model for elastic waves in random anisotropic media. It relies on a kinetic approach of wave propagation phenomena pertaining to the situation whereby the wavelength is comparable to the…

数学物理 · 物理学 2018-03-02 Ibrahim Baydoun , Éric Savin , Régis Cottereau , Didier Clouteau , Johann Guilleminot

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating half-space in the weak-scattering regime, and the study of boundary effects through an asymptotic analysis of the…

经典物理 · 物理学 2022-12-01 Adel Messaoudi , Regis Cottereau , Christophe Gomez

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scattering regime, and the study of boundary effects through an…

偏微分方程分析 · 数学 2023-08-03 Adel Messaoudi , Régis Cottereau , Christophe Gomez

We study the propagation of high-frequency electromagnetic waves in randomly heterogeneous bianisotropic media with dissipative properties. For that purpose we consider randomly fluctuating optical responses of such media with correlation…

数学物理 · 物理学 2024-03-12 Jean-Luc Akian , Éric Savin

We derive transport equations for the propagation of water wave action in the presence of a static, spatially random surface drift. Using the Wigner distribution $\W(\x,\k,t)$ to represent the envelope of the wave amplitude at position $\x$…

流体动力学 · 物理学 2007-05-23 Guillaume Bal , Tom Chou

We study the large scale evolution of a scalar lattice excitation which satisfies a discrete wave-equation in three dimensions. We assume that the dispersion relation associated to the elastic coupling constants of the wave-equation is…

数学物理 · 物理学 2008-11-06 Lisa Harris , Jani Lukkarinen , Stefan Teufel , Florian Theil

We consider the scattering of acoustic waves emitted by an active source above a plane turbulent shear layer. The layer is modeled by a moving random medium with small spatial and temporal fluctuations of its mean velocity, and constant…

流体动力学 · 物理学 2020-05-19 Josselin Garnier , Etienne Gay , Éric Savin

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

The impact of a turbulent flow on wind-driven oceanic near-inertial waves is examined using a linearised shallow-water model of the mixed layer. Modelling the flow as a homogeneous and stationary random process with spatial scales…

大气与海洋物理 · 物理学 2016-07-20 Eric Danioux , Jacques Vanneste

Kinetic equations are often appropriate to model the energy density of high frequency waves propagating in highly heterogeneous media. The limitations of the kinetic model are quantified by the statistical instability of the wave energy…

数学物理 · 物理学 2007-11-27 Guillaume Bal , Olivier Pinaud

This work considers the propagation of high-frequency waves in highly-scattering media where physical absorption of a nonlinear nature occurs. Using the classical tools of the Wigner transform and multiscale analysis, we derive semilinear…

偏微分方程分析 · 数学 2025-04-23 Joseph Kraisler , Wei Li , Kui Ren , John C. Schotland , Yimin Zhong

This paper extends energy flux methods to handle three-dimensional ocean acoustic environments, the implemented solution captures horizontally refracted incoherent acoustic intensity, and its required computational effort is predominantly…

计算物理 · 物理学 2025-06-05 Mark Langhirt , Charles Holland , Ying-Tsong Lin

We study the diffusion of monochromatic classical waves in a disordered acoustic medium by scattering theory. In order to avoid artifacts associated with mathematical point scatterers, we model the randomness by small but finite insertions.…

无序系统与神经网络 · 物理学 2009-11-11 Sijmen Gerritsen , Gerrit E. W. Bauer

Interactions between inertia-gravity waves and balanced flows lead to a spectral diffusion of wave action. Prior work has established that this diffusion is weak across constant frequency surfaces in three-dimensional settings, but can be…

流体动力学 · 物理学 2026-05-04 Nicholas DeFilippis , Oliver Bühler , K. Shafer Smith

We consider the convected Helmholtz equation modeling linear acoustic propagation at a fixed frequency in a subsonic flow around a scattering object. The flow is supposed to be uniform in the exterior domain far from the object, and…

数值分析 · 数学 2014-05-16 Fabien Casenave , Alexandre Ern , Guillaume Sylvand

We derive from first principles a one-way radiative transfer equation for the wave intensity resolved over directions (Wigner transform of the wave field) in random media. It is an initial value problem with excitation from a source which…

偏微分方程分析 · 数学 2016-02-17 Liliana Borcea , Josselin Garnier

Oceanic internal tides and other inertia-gravity waves propagate in an energetic turbulent flow whose lengthscales are similar to the wavelengths. Advection and refraction by this flow cause the scattering of the waves, redistributing their…

大气与海洋物理 · 物理学 2018-11-14 Miles A. C. Savva , Jacques Vanneste

We present theoretical calculations of the ensemble-averaged (a.k.a. effective or coherent) wavefield propagating in a heterogeneous medium considered as one realization of a random process. In the literature, it is usually assumed that…

经典物理 · 物理学 2015-09-30 Ibrahim Baydoun , Diego Baresch , Romain Pierrat , Arnaud Derode

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

In rotating stratified flows including in the atmosphere and ocean, inertia-gravity waves (IGWs) often coexist with a geostrophically balanced turbulent flow. Advection and refraction by this flow lead to wave scattering, redistributing IGW…

流体动力学 · 物理学 2021-04-21 Miles A. C. Savva , Hossein A. Kafiabad , Jacques Vanneste
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