A Functional-Analytical Solution to the Ocean Tomography Problem Taking the Interaction of Modes into Account

IF 0.9 4区物理与天体物理 Q4 ACOUSTICS Acoustical Physics Pub Date : 2023-11-16 DOI:10.1134/S1063771023600985

S. S. Zorin, A. S. Shurup

引用次数: 0

Abstract—A scheme of mode tomography of sound inhomogeneities and currents in the ocean, based on a mathematically rigorous functional-analytical algorithm, is considered. A distinctive feature of the proposed approach is the possibility of taking nonadiabatic mode propagation into account without involving iterative procedures. To simulate the scattering data, the solution of the coupled Lippmann–Schwinger equations is numerically implemented to describe the effects of multichannel mode scattering on inhomogeneities of sound sped and currents. Karhunen–Loeve functions are used to reconstruct three-dimensional scatterers, which allows one to reduce the number of unknowns when solving the inverse problem. The model results illustrate the high spatial resolution and the ability to achieve acceptable noise immunity of the discussed tomographic scheme when using a broadband sensing mode.

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考虑模态相互作用的海洋层析成像问题的泛函解析解

摘要:提出了一种基于数学上严格的泛函解析算法的海洋声不均匀性和海流模态层析成像方案。所提出的方法的一个显著特点是考虑到非绝热模式传播的可能性，而不涉及迭代过程。为了模拟散射数据，数值实现了耦合Lippmann-Schwinger方程的解，以描述多通道模式散射对声速和电流不均匀性的影响。利用Karhunen-Loeve函数重建三维散射体，从而在求解逆问题时减少了未知数的数量。模型结果表明，当使用宽带传感模式时，所讨论的层析成像方案具有高空间分辨率和可接受的抗噪能力。

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来源期刊

Acoustical Physics 物理-声学

CiteScore

1.60

自引率

50.00%

发文量

审稿时长

3.5 months

期刊介绍： Acoustical Physics is an international peer reviewed journal published with the participation of the Russian Academy of Sciences. It covers theoretical and experimental aspects of basic and applied acoustics: classical problems of linear acoustics and wave theory; nonlinear acoustics; physical acoustics; ocean acoustics and hydroacoustics; atmospheric and aeroacoustics; acoustics of structurally inhomogeneous solids; geological acoustics; acoustical ecology, noise and vibration; chamber acoustics, musical acoustics; acoustic signals processing, computer simulations; acoustics of living systems, biomedical acoustics; physical principles of engineering acoustics. The journal publishes critical reviews, original articles, short communications, and letters to the editor. It covers theoretical and experimental aspects of basic and applied acoustics. The journal welcomes manuscripts from all countries in the English or Russian language.