Open AccessPoint Source in a Layer Overlying a Semi‐infinite Solid with Special Reference to Diffracted Waves
Author(s) -
Singh Sarva Jit
Publication year - 1966
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1966.tb03094.x
Subject(s) - diffraction , isotropy , isotropic solid , point source , amplitude , reflection (computer programming) , physics , mechanical wave , longitudinal wave , love wave , wave propagation , plane (geometry) , optics , point (geometry) , geometry , mathematical analysis , mathematics , computer science , programming language
Summary The problem of a point source of dilatational waves in a homogeneous, isotropic, perfectly elastic layer overlying a homogeneous, isotropic, perfectly elastic halfspace has been discussed. The terms corresponding to various reflected waves are obtained from the representation of the point source as a summation of plane waves by making use of reflection coefficients. These are then integrated along the modified Sommerfeld contour and various minimum‐time‐path and diffracted waves are obtained. Numerical values of the elastic constants are inserted and the dependence of the amplitudes of these waves on frequency and sourcedepth observed. The amplitudes of the diffracted waves are compared with those of the minimum‐time‐path waves and it has been found that the contribution due to the former is always small as compared to that due to the latter. In fact the former are appreciable only when the frequency is small.