Open AccessBehavior of solutions of an acoustic wave diffraction problem on a set of small obstacles
Author(s) -
Tatiana Bobyleva,
А. С. Шамаев
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1614/1/012010
Subject(s) - diffraction , obstacle , boundary value problem , wave equation , boundary (topology) , homogeneous , domain (mathematical analysis) , mathematical analysis , work (physics) , physics , acoustics , set (abstract data type) , plane wave , mathematics , optics , computer science , statistical physics , quantum mechanics , political science , law , programming language
The article discusses the problem of diffraction of an acoustic wave by a multitude of obstacles (or cavities) enclosed in a finite subdomain of a homogeneous material domain. It is assumed that the distance between obstacles (cavities) is much greater than the size of each obstacle (cavity). Conditions are indicated under which the total influence of obstacles on the transmitted wave is expressed as an additional term of the potential type in the wave equation. Conditions at the boundary of the cavities are accepted as boundary conditions of the third kind. The results of the work can be used in the development of non-destructive testing procedures.