Geodesic
Diffraction of sound from a point source on a cylinder with an elastic coating surrounded by an inhomogeneous liquid layer
Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 286-295.

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The article considers the problem of diffraction of a spherical sound wave by an absolutely rigid cylinder with a coating in the form of a homogeneous isotropic elastic layer with an adjacent inhomogeneous liquid layer. It is assumed that a cylinder with a homogeneous coating is surrounded by a continuously inhomogeneous liquid layer with an arbitrary law of inhomogeneity. A point source of harmonic sound waves is placed in an ideal homogeneous liquid bordering an inhomogeneous layer. The acoustic pressure in a spherical wave is represented in an integral form as a decomposition in cylindrical wave functions. Wave processes in an elastic layer are described by a system of equations of the linear theory of elasticity of an isotropic body. To determine the wave field in an inhomogeneous liquid layer, a boundary value problem for an ordinary differential equation of the second order is constructed.
Keywords: spherical sound waves, elastic cylinder, inhomogeneous liquid layer. 
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D. Yu. Efimov. Diffraction of sound from a point source on a cylinder with an elastic coating surrounded by an inhomogeneous liquid layer. Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 286-295. http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a18/

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