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Ray stability is investigated in environments consisting of a range-independent background sound-speed profile on which a range-dependent perturbation, such as that produced by internal waves in deep ocean environments, is superimposed.…

Chaotic Dynamics · Physics 2009-11-07 F. J. Beron-Vera , M. G. Brown

Travel time stability is investigated in environments consisting of a range-independent background sound-speed profile on which a highly structured range-dependent perturbation is superimposed. The stability of both unconstrained and…

Chaotic Dynamics · Physics 2009-11-10 F. J. Beron-Vera , M. G. Brown

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

A method is proposed for finding the wave field components which are weakly sensitive to the sound speed perturbation in the ocean acoustic waveguides. Such a component is formed by a narrow beam of rays whose spread in vertical direction,…

Atmospheric and Oceanic Physics · Physics 2017-04-05 A. L. Virovlyansky

The paper describes the beamforming procedures in an acoustic waveguide based on representing the field on the antenna as a superposition of several stable components formed by narrow beams of rays [A.L. Virovlyansky, J. Acoust. Soc. Am.…

Classical Physics · Physics 2020-08-17 A. L. Virovlyansky

We consider ray propagation in a waveguide with a designed sound-speed profile perturbed by a range-dependent perturbation caused by internal waves in deep ocean environments. The Hamiltonian formalism in terms of the action and angle…

Chaotic Dynamics · Physics 2009-11-10 D. V. Makarov , M. Yu. Uleysky , S. V. Prants

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…

Atmospheric and Oceanic Physics · Physics 2016-09-08 D. V. Makarov , M. Yu. Uleysky , M. Yu. Martynov

It is shown that asymmetric waveguides with gain and loss can support a stable propagation of optical beams. This means that the propagation constants of modes of the corresponding complex optical potential are real. A class of such…

Pattern Formation and Solitons · Physics 2015-06-22 Eduard N. Tsoy , Izzat M. Allayarov , Fatkhulla Kh. Abdullaev

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

As is well known, the sound-speed profile has significant effects on underwater acoustic sound propagation. These effects can be quantified by normal-mode models, for example. The basic case is a laterally homogeneous medium, for which the…

Atmospheric and Oceanic Physics · Physics 2016-04-11 Sven Ivansson

An analogue of the geometrical optics for description of the modal structure of a wave field in a range-dependent waveguide is considered. In the scope of this approach the mode amplitude is expressed through solutions of the ray equations.…

Atmospheric and Oceanic Physics · Physics 2009-11-10 A. L. Virovlyansky , A. Yu. Kazarova , L. Ya. Lyubavin

This work is devoted to the stability/resolution analysis of several imaging functionals in complex environments. We consider both linear functionals in the wavefield as well as quadratic functionals based on wavefield correlations. Using…

Analysis of PDEs · Mathematics 2015-01-27 G. Bal , O. Pinaud , L. Ryzhik

Disorder is more the rule than the exception in natural and synthetic materials. Nonetheless, wave propagation within inhomogeneously disordered materials has received scant attention. We combine microwave experiments and theory to find the…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Yiming Huang , Chushun Tian , Victor A. Gopar , Ping Fang , Azriel Z. Genack

In shallow-water waveguides a propagating field can be decomposed over three kinds of modes: the propagating modes, the radiating modes and the evanescent modes. In this paper we consider the propagation of a wave in a randomly perturbed…

Probability · Mathematics 2009-12-01 Christophe Gomez

Sound waves are attenuated as they propagate in amorphous materials. We investigate the mechanism driving sound attenuation in the Rayleigh scattering regime by resolving the dynamics of an excited phonon in time and space via numerical…

Soft Condensed Matter · Physics 2024-01-18 Shivam Mahajan , Massimo Pica Ciamarra

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

Recent results relating to ray dynamics in ocean acoustics are reviewed. Attention is focussed on long-range propagation in deep ocean environments. For this class of problems, the ray equations may be simplified by making use of a one-way…

A ray-based wavefield description is employed in the interpretation of measurements made during the November 1994 Acoustic Engineering Test (the AET experiment). In this experiment phase-coded pulse-like signals with 75 Hz center frequency…

It is shown that the properties of the modulational instability of partially coherent waves propagating in a nonlinear Kerr medium depend crucially on the profile of the incoherent field spectrum. Under certain conditions, the incoherence…

Optics · Physics 2009-11-10 D. Anderson , L. Helczynski , M. Lisak , V. Semenov

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…

Analysis of PDEs · Mathematics 2013-11-19 Christophe Gomez
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