Diffraction of a cylindrical sound wave on a multilayered spheroid
https://doi.org/10.22405/2226-8383-2025-26-1-190-203
Abstract
The article considers the problem of diffraction of a harmonic cylindrical sound wave on a multilayered spheroid is considered. The multilayered spheroid consist from an absolutely rigid spheroid and surrounding homogeneous spheroidal layers of an ideal compressible liquid. It is assumed that the spheroid is in an infinite ideal liquid. A cylindrical wave is emitted by an infinitely long linear source parallel to the axis of rotation of the spheroid.
The problem is solved in an elongated spheroidal coordinate system. An analytical solution of the problem has been obtained. A special case of a two-layer spheroid is considered.
About the Authors
Lev Alexeevich Tolokonnikov
Tula State University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
Sergei Lvovich Tolokonnikov
Lomonosov Moscow State University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
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For citations:
Tolokonnikov L.A., Tolokonnikov S.L. Diffraction of a cylindrical sound wave on a multilayered spheroid. Chebyshevskii Sbornik. 2025;26(1):190-203. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-1-190-203
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