On the Dependence of Acoustic Modes on Media Parameters in the Pekeris-Airy Waveguide

被引：0

作者：

Petrov, Pavel S. ^{[1
,2
]}

Zakharenko, Alena D. ^{[2
]}

Matskovskiy, Andrey A. ^{[2
,3
]}

Zavorokhin, German L. ^{[2
,3
]}

Dosso, Stan E. ^{[4
]}

机构：

[1] Berg Univ Wuppertal, Fak 4, D-42109 Wuppertal, Germany

[2] Ilichev Pacific Oceanol Inst, Geophys Fluid Dynam Lab, Vladivostok 690041, Russia

[3] Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia

[4] Univ Victoria, Sch Earth & Ocean Sci, Victoria, BC, Canada

来源：

JOURNAL OF THEORETICAL AND COMPUTATIONAL ACOUSTICS | 2024年

基金：

俄罗斯科学基金会;

关键词：

Normal modes; shallow-water waveguide; Airy medium; geoacoustic inversion; SOURCE LOCALIZATION; PROPAGATION; INVERSION;

D O I：

10.1142/S259172852450004X

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A waveguide consisting of an isospeed water layer overlying a halfspace with a sound speed gradient is considered. The dependence of horizontal wavenumbers of normal modes in such a waveguide on the sound frequency, water depth and geoacoustic parameters of the bottom are investigated. It is shown that these dependencies are described by ordinary differential equations that can be solved numerically at very low computational cost providing a substantial increase in the efficiency of broadband modelling of sound propagation. The explicit formulae for the derivatives of horizontal wavenumbers with respect to the bottom parameters can be also used in dispersion-based geoacoustic inversion methods. This approach can be extended to the case of a waveguide consisting of several layers of Airy-type media. We also propose a new and concise proof that the spectrum of the Sturm-Liouville problem from which the modes are found for this waveguide is purely discrete.

引用

页数：22