Premium
Scattering of elastic waves through a heterogeneous medium
Author(s) -
Codegone M.,
Leis R.
Publication year - 1980
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670020303
Subject(s) - diffraction , scattering , bounded function , mathematics , obstacle , mathematical analysis , domain (mathematical analysis) , zero (linguistics) , physics , optics , linguistics , philosophy , political science , law
Abstract In this paper we study the elastic wave diffraction in R 3 through a heterogeneous medium, with periodic structure, which occupies a bounded domain. We show that, as the period tends to zero, the solution tends, in some sense, to the solution corresponding to the diffraction by an obstacle made of the classical “homogenized medium”. An analogous result is also proved for the scattering frequencies and the associated scattering functions.