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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

In a recent letter [Europhys. Lett. 97, 34002 (2012)], random matrix theory is introduced for long-range acoustic propagation in the ocean. The theory is expressed in terms of unitary propagation matrices that represent the scattering…

Mathematical Physics · Physics 2015-06-05 Katherine C. Hegewisch , Steven Tomsovic

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

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

Three-dimensional numerical models for underwater sound propagation are popular in computational ocean acoustics. For horizontally slowly varying waveguide environments, an adiabatic mode-parabolic equation hybrid theory can be used for…

Computational Physics · Physics 2024-07-22 Houwang Tu , Yongxian Wang , Xiaolan Zhou , Guojun Xu , Dongbao Gao , Shuqing Ma

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 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

Reflection of sound from ice sheets floating on water is simulated using Thomson and Haskell's method of matrix propagation. The reflection coefficient is computed as a function of incidence angle and frequency for selected ice parameters…

Atmospheric and Oceanic Physics · Physics 2016-04-11 Halvor Hobæk , Hanne Sagen

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

We study long range propagation of electromagnetic waves in random waveguides with rectangular cross-section and perfectly conducting boundaries. The waveguide is filled with an isotropic linear dielectric material, with randomly…

Mathematical Physics · Physics 2013-10-21 Ricardo Alonso , Liliana Borcea

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…

Signal Processing · Electrical Eng. & Systems 2019-07-16 Yasin Yousif Al-Aboosi , Hussein A. Abdulnabi

A high-precision numerical sound field is the basis of underwater target detection, positioning and communication. A line source in a plane is a common type of sound source in computational ocean acoustics. The exciting waveguide in a…

Computational Physics · Physics 2022-08-17 Houwang Tu , Yongxian Wang , Chunmei Yang , Xiaodong Wang , Shuqing Ma , Wenbin Xiao , Wei Liu

In this paper we consider an acoustic problem of wave propagation through a discontinuous medium. The problem is reduced to the dissipative wave equation with distributional dissipation. We show that this problem has a so-called very weak…

Analysis of PDEs · Mathematics 2017-05-04 Juan Carlos Munoz , Michael Ruzhansky , Niyaz Tokmagambetov

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

The following development of the well-known "vertical modes and horizontal rays" approach for acoustic waves propagation in shallow water, introduced in different works, is studied. In this approach we study so-called space-time horizontal…

Mathematical Physics · Physics 2024-11-22 Aleksandr Kaplun , Boris Katsnelson

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…

Soft Condensed Matter · Physics 2015-03-20 J. I. Osypik , N. I. Pushkina , Ya. M. Zhileikin

The 'vertical modes and horizontal rays' method, commonly applied for simulating acoustic wave propagation in shallow water is advanced in this research. Our approach to this method involves the use of the so-called space-time rays, which…

Mathematical Physics · Physics 2025-01-08 Aleksandr Kaplun , Boris Katsnelson

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

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
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