Elastic Radiation in a Half-Space
Author(s) -
K. M. Case,
R. D. Hazeltine
Publication year - 1970
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.1665424
Subject(s) - half space , surface (topology) , mathematical analysis , boundary value problem , transformation (genetics) , radiation , space (punctuation) , function (biology) , radiative transfer , fourier transform , green's function , physics , mathematics , boundary (topology) , homogeneous , wave equation , computation , geometry , optics , statistical physics , biochemistry , chemistry , linguistics , philosophy , algorithm , evolutionary biology , biology , gene
A Green's function for the elastic wave equation, which satisfies certain boundary conditions on the surface of a homogeneous half‐space, is derived by means of the Fourier transformation. This half‐space Green's function is then applied to the computation of radiative effects due to the earth's surface when a radiating source is located on or within that surface. The results obtained are to be taken as an extension of a previous and similar formulation for the infinite medium due to Case and Colwell
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