Bulletin of the Seismological Society of America; August 1972; v. 62; no. 4;
p. 973-983
© 1972 Seismological Society of America
The connection between elastodynamic representation theorems and propagator matrices
B. L. N. KENNETT
DEPARTMENT OF APPLIED MATHEMATICS AND THEORETICAL PHYSICS, SILVER STREET, CAMBRIDGE, CB3 9EW, England
Abstract
Two independent powerful methods in elastodynamics have been developed over the last few years: these are the use of representation theorems and propagator matrix techniques. The connection between these two approaches is derived in this paper. This is then used to show the equivalence of approximate techniques in elastic wave scattering based on representation theorems and a recent method based on matrix theory.
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