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Ocean acoustic propagation can be formulated as a wave guide with a weakly random medium generating multiple scattering. Twenty years ago, this was recognized as a quantum chaos problem, and yet random matrix theory, one pillar of quantum…

Atmospheric and Oceanic Physics · Physics 2015-05-27 Katherine C. Hegewisch , Steven Tomsovic

Problem of sound propagation in the ocean is considered. A novel approach of K. Hegewisch and S. Tomsovic for statistical modelling of acoustic wavefields in the random ocean is examined. The approach is based on construction of a wavefield…

Atmospheric and Oceanic Physics · Physics 2018-01-25 Denis Makarov

Problem of long-range sound propagation in the randomly-inhomogeneous deep ocean is considered. We examine a novel approach for modeling of wave propagation, developed by K.C.Hegewisch and S.Tomsovic. This approach relies on construction of…

Chaotic Dynamics · Physics 2017-06-01 Denis Makarov

Scattering wave systems that are periodically modulated in time offer many new degrees of freedom to control waves both in spatial and frequency domains. Such systems, albeit linear, do not conserve frequency and require the adaptation of…

Applied Physics · Physics 2023-04-25 Matthieu Malléjac , Romain Fleury

A version of scattering theory that was developed many years ago to treat nuclear scattering processes, has provided a powerful tool to study universality in scattering processes involving open quantum systems with underlying classically…

Chaotic Dynamics · Physics 2022-10-12 L. E. Reichl , G. Akguc

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…

Chaotic Dynamics · Physics 2009-10-31 M. A. Wolfson , S. Tomsovic

Radiation from acoustic sources located inside randomly-layered structures is studied using the transfer matrix method. It is shown that in contrast to the periodically layered cases where the radiation can be either enhanced or inhibited…

Condensed Matter · Physics 2007-05-23 Zhen Ye , Pi-Gang Luan

The application of random matrix theory to scattering requires introduction of system-specific information. This paper shows that the average impedance matrix, which characterizes such system-specific properties, can be semiclassically…

Statistical Mechanics · Physics 2010-02-03 Jen-Hao Yeh , James A. Hart , Elliott Bradshaw , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

In many situations, the statistical properties of wave systems with chaotic classical limits are well-described by random matrix theory. However, applications of random matrix theory to scattering problems require introduction of system…

Statistical Mechanics · Physics 2013-05-29 James A. Hart , Thomas M. Antonsen , Edward Ott

Acoustic propagation models are widely used in numerous oceanic and other underwater applications. Most conventional models are approximate solutions of the acoustic wave equation, and require accurate environmental knowledge to be…

Sound · Computer Science 2023-08-25 Kexin Li , Mandar Chitre

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…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Katherine C. Hegewisch , Nicholas R. Cerruti , Steven Tomsovic

The evolution of acoustic waves can be evaluated in two ways: either as a temporal, or a spatial propagation. Propagating in space provides the considerable advantage of being able to handle dispersion and propagation across interfaces with…

Classical Physics · Physics 2018-06-04 Paul Kinsler

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…

Analysis of PDEs · Mathematics 2018-06-19 Liliana Borcea , Josselin Garnier , Knut Solna

The main goal of this paper is to estimate the regional acoustic and geoacoustic shallow-water environment from data collected by a vertical hydrophone array and transmitted by distant time-harmonic point sources. We aim at estimating the…

Analysis of PDEs · Mathematics 2019-09-04 Laure Dumaz , Josselin Garnier , Guilhem Lepoultier

Propagation of acoustic waves in an one-dimensional water duct containing many air filled blocks is studied by the transfer matrix formalism. Energy distribution and interface vibration of the air blocks are computed. For periodic…

Condensed Matter · Physics 2009-10-31 Pi-Gang Luan , Zhen Ye

Internal waves propagate on the ocean's stratification, carrying energy and redistributing momentum through the ocean. When internal waves break, they contribute to diapycnal mixing in the ocean interior, but this breaking behaviour depends…

Atmospheric and Oceanic Physics · Physics 2025-07-31 Ashley J. Barnes , Callum J. Shakespeare , Andy McC. Hogg , Navid C. Constantinou

In a communication scheme, there exist points at the transmitter and at the receiver where the wave is reduced to a finite set of functions of time which describe amplitudes and phases. For instance, the information is summarized in…

Data Analysis, Statistics and Probability · Physics 2014-11-20 Bernard Lacaze

We present a mathematical theory of time-harmonic wave propagation and reflection in a two-dimensional random acoustic waveguide with sound soft boundary and turning points. The boundary has small fluctuations on the scale of the…

Analysis of PDEs · Mathematics 2017-02-14 Liliana Borcea , Josselin Garnier , Derek Wood

Existing theoretical results for attenuation of surface waves propagating on water of random fluctuating depth are shown to over predict the rate of decay due to the way in which ensemble averaging is performed. A revised approach is…

Fluid Dynamics · Physics 2026-03-05 Lloyd Dafydd , Richard Porter

Scattering of electromagnetic waves in billiard-like systems has become a standard experimental tool of studying properties associated with Quantum Chaos. Random Matrix Theory (RMT) describing statistics of eigenfrequencies and associated…

Disordered Systems and Neural Networks · Physics 2021-05-11 Yan V Fyodorov
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