On the Upslope Propagation of an Adiabatic Normal Mode in a Wedge-Shaped Sea

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2024-06-28 DOI:10.1134/s1061920824020122

V.A. Sergeev

引用次数: 0

Abstract

We study a two-dimensional problem that models sound propagation in a narrow water wedge near a seashore. For the Helmholtz equation, an adiabatic normal mode propagating shoreward along the water wedge is discussed. We describe the phenomena arising when the mode reaches the critical depth and afterwards. Prior to this, the acoustic field is localized in the water wedge. When the critical depth is reached, the energy of the field radiates into the sea bottom. Thereafter, a surface wave propagates inside the bottom along the water-bottom interface, occasionally leaking back into the water wedge.

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论绝热正态模式在楔形海中的上坡传播

摘要我们研究了一个二维问题，它模拟了声音在海滨附近狭窄水楔中的传播。在亥姆霍兹方程中，我们讨论了沿着水楔向岸边传播的绝热法向模式。我们描述了该模式到达临界深度及其后产生的现象。在此之前，声场集中在水楔中。当达到临界深度时，声场能量辐射到海底。此后，表面波沿水底界面在海底内部传播，偶尔会漏回水楔。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.

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