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The Theory of Elastic Wave Propagation in Inhomogeneous Media
Author(s) -
Fokin A. G.,
Shermergor T. D.
Publication year - 1989
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221530107
Subject(s) - physics , allowance (engineering) , scattering , dispersion (optics) , tensor (intrinsic definition) , wavelength , wave propagation , dispersion relation , mathematical analysis , classical mechanics , optics , mathematics , geometry , mechanical engineering , engineering
The theory of longitudinal and transverse elastic waves is considered within the framework of random field theory. A method is developed for solving problems associated with the scattering of waves by inhomogeneities of the density ϱ( r ) and of the elastic modulus tensor λ( r ) which is valid for the whole wavelength range. The scattering index γ, the phase v , and the group velocities c are computed using the Bourret approximation with allowance for spatial dispersion. Asymptotic expressions for γ, v , and c are obtained for the long (compared with the effective sizes of the scattering regions), short, and ultrashort wave ranges. In the latter case results can be obtained only by allowing for spatial dispersion.