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We investigate sound ray propagation in a range-dependent underwater acoustic waveguide. Our attention is focused on sensitivity of ray dynamics to the vertical structure of a sound-speed perturbation induced by ocean internal waves. Two…

大气与海洋物理 · 物理学 2016-09-08 D. V. Makarov , M. Yu. Uleysky , M. Yu. Martynov

The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type…

无序系统与神经网络 · 物理学 2009-10-31 J. A. Sanchez-Gil , V. Freilikher , A. A. Maradudin , I. Yurkevich

We study two-dimensional wave propagation in materials whose properties vary periodically in one direction only. High order homogenization is carried out to derive a dispersive effective medium approximation. One-dimensional materials with…

数值分析 · 数学 2014-09-16 Manuel Quezada de Luna , David I. Ketcheson

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

In these last years, many studies have focalized on the design of reliable underwater acoustic communication systems. However, the ocean acoustic communication channel exhibits strong amplitude and phase fluctuations and the phenomena of…

信号处理 · 电气工程与系统科学 2019-07-16 Yasin Yousif Al-Aboosi , Hussein A. Abdulnabi

In underwater acoustic waveguides a pressure field can be decomposed over three kinds of modes: the propagating modes, the radiating modes and the evanescent modes. In this paper, we analyze the effects produced by a randomly perturbed free…

偏微分方程分析 · 数学 2013-11-19 Christophe Gomez

Dynamic homogenization aims at describing the macroscopic characteristics of wave propagation in microstructured systems. Using a simple method, we derive frequency-dependent homogenized parameters that reproduce the exact dispersion…

应用物理 · 物理学 2018-08-01 René Pernas-Salomón , Gal Shmuel

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

This paper provides a theoretical foundation for some common formulations of inverse problems in wave propagation, based on hyperbolic systems of linear integro-differential equations with bounded and measurable coefficients. The…

数学物理 · 物理学 2015-06-12 Kirk D. Blazek , Christiaan C. Stolk , William W. Symes

The primary contribution of this paper is to characterize the propagation of acoustic signal carrying information through any medium and the interaction of the travelling acoustic signal with the surrounding medium. We will use the concept…

信号处理 · 电气工程与系统科学 2022-02-15 Indrakshi Dey

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

We consider the propagation of acoustic time-harmonic waves in a homogeneous media containing periodic lattices of spherical or cylindrical inclusions. It is assumed that the wavelength has the order of the periods of the lattice while the…

偏微分方程分析 · 数学 2019-07-04 Yuri A. Godin , Boris Vainberg

Energy flux is an acoustic propagation model that calculates the locally-averaged intensity without computing explicit eigenvalues or tracing rays. The energy flux method has so far only been used for two-dimensional problems that have…

计算物理 · 物理学 2022-04-04 Mark Langhirt , Charles Holland , Sheri Martinelli , Ying-Tsong Lin , Dan Brown

We present an analysis of enhanced wave transmission through random media with mirror symmetry about a reflecting barrier. The mathematical model is the acoustic wave equation and we consider two setups, where the wave propagation is along…

数学物理 · 物理学 2024-01-30 Liliana Borcea , Josselin Garnier

Modeling of sound propagation in media with azimuthal variations of the material parameters typically necessitates approximations. Useful methods, such as the 3-D parabolic equation (PE) method, need verification by correct reference…

地球物理 · 物理学 2019-04-11 Sven M. Ivansson

The focus of our work is dispersive, second-order effective model describing the low-frequency wave motion in heterogeneous (e.g.~functionally-graded) media endowed with periodic microstructure. For this class of quasi-periodic medium…

数值分析 · 数学 2020-06-05 Danial P. Shahraki , Bojan B. Guzina

We have analyzed spectra of localized microwave transmitted through quasi-1D random samples to obtain the central frequency, linewidth and field speckle pattern of the modes for an ensemble of samples at three lengths. We find strong…

无序系统与神经网络 · 物理学 2012-10-02 Jing Wang

A new version of the invariant imbedding theory for the propagation of coupled waves in inhomogeneous media is applied to the mode conversion of high frequency electromagnetic waves into electrostatic modes in cold, magnetized and…

等离子体物理 · 物理学 2009-11-11 Kihong Kim , Dong-Hun Lee

Several acoustic experiments show a surprising degree of stability in wave fronts propagating over multi-megameter ranges through the ocean's sound channel despite the presence of random-like, sound speed fluctuations. Previous works have…

混沌动力学 · 物理学 2009-10-31 M. A. Wolfson , S. Tomsovic

We generalize the invariant imbedding theory of the wave propagation and derive new invariant imbedding equations for the propagation of arbitrary number of coupled waves of any kind in arbitrarily-inhomogeneous stratified media, where the…

光学 · 物理学 2009-11-10 Kihong Kim , Dong-Hun Lee , H. Lim
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