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PROPAGATION OF WAVES IN INHOMOGENEOUS MEDIA
Author(s) -
SCHOLTE J. G. J.
Publication year - 1961
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1961.tb01123.x
Subject(s) - wave propagation , function (biology) , mathematical analysis , transition layer , optics , physics , computational physics , mathematics , layer (electronics) , materials science , evolutionary biology , composite material , biology
A bstract A method is developed for determining the propagation of a wave of arbitrary shape in an inhomogeneous medium in which both the density and the velocity change with depth according to an arbitrary continuous function. The solution is obtained by means of successive approximations. The successive terms in this approximation correspond to the direct wave, single reflections and multiple reflections of successive order. The general formulae are then applied to three particular types of transition layer.