Open AccessElastic scattered waves from a continuous and heterogeneous layer
Author(s) -
Li Xiaofan,
Hudson J. A.
Publication year - 1995
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1995.tb03512.x
Subject(s) - scattering , physics , scattering theory , elastic scattering , born approximation , plane wave , plane (geometry) , fourier transform , computational physics , classical mechanics , optics , mathematics , geometry , quantum mechanics
Elastic scattering from a continuous and laterally unbounded heterogeneous layer has been formulated using the Born approximation. A general solution of the scattered wave equation for the above‐stated medium has been given in terms of a Fourier integral over plane waves. Far‐field asymptotic expressions for weak elastic scattering by a finite, continuous and inhomogeneous layer have been presented which agree with earlier results. For perturbations of the two elastic parameters and the density having the same form of spatial variation, the spectrum of plane waves scattered from a heterogeneous layer is expressed as a product of an ‘elastic scattering factor’and a ‘distribution factor’. As in earlier results for small‐scale heterogeneity, the scattering pattern depends on various combinations of perturbations of elastic parameters and density. In order to show the general characteristics of the elastic wave scattering, some scattering patterns have been given.