Faculty of Physics
M.V.Lomonosov Moscow State University
Regular Article

# Sound Fields in Marine Waveguides with a Heterogeneous Speed of Sound Along the Depth and Path

## Yu. I. Papkova

### Moscow University Physics Bulletin 2021. N 3.

• Article
Annotation

During waveguide sound propagation in the marine environment, one of the main characteristics is the speed of sound. In hydrophysical waveguides, the speed of sound is mainly a function of depth; the radial coordinate introduces second-order corrections of smallness. Nevertheless, in some cases, significant changes in the characteristics of the waveguide along the radial coordinate are possible, for example, as a result of the influence of anthropogenic factors, sea currents, etc. In the present paper, an analytical representation is constructed for the sound field of a point source in a plane-layered sea waveguide that has an inhomogeneous speed of sound in depth and waveguide path. The waveguide model has radial symmetry, while the sound source is located at an arbitrary point on the waveguide, which leads to a solution that substantially depends on all three spatial coordinates. This solution is based on the decomposition of the waveguide region into cylindrical regions, allowing the construction of an analytical solution of the Helmholtz equation. It is shown that in the case of a constant profile of sound velocity and density in each of the waveguide decomposition regions, the solution of the problem can be obtained explicitly. The results of numerical modeling are presented, the influence of heterogeneity on the characteristics of the sound field is analyzed

Received: 2020 July 27
Approved: 2021 September 22
PACS:
43.30.+m Underwater sound
43.20.-f General linear acoustics
Rissian citation:
Ю. И. Папкова.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2021. № 3. С. 27.
Authors
Yu. I. Papkova
$^1$Sevastopol State University

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