On the uniqueness of the problem of acoustic diffraction by an infinite plate with local irregularities

I. V. Andronov, B. P. Belinskiǐ

Research output

2 Citations (Scopus)

Abstract

The question concerning the uniqueness of the solution to the problem of the acoustic diffraction by an immersed and isolated thin infinite plate with a finite scatterer is studied. It is shown that, to provide the uniqueness of the solution, the conditions at the scatterer must lead to an energy inequality for a source-free field, which determines the absence of the energy-carrying field components at infinity. A formula that generalizes the Sommerfeld formula is obtained and is used to prove the uniqueness of the solution to the problem of diffraction by a plate immersed in an acoustic medium. For the problem of diffraction of a flexural wave by an irregularity of the plate, the uniqueness theorem is proved only for the case of a fixed or hinged edge. When boundary conditions of a general form are imposed on the scatterer in an isolated plate, the uniqueness of the solution is generally lost, which is also corroborated by an example.

Original languageEnglish
Pages (from-to)3-9
Number of pages7
JournalAcoustical Physics
Volume47
Issue number1
DOIs
Publication statusPublished - 1 Jan 2001

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uniqueness
irregularities
acoustics
diffraction
scattering
uniqueness theorem
infinity
boundary conditions
energy

Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

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