Bulletin of the Seismological Society of America
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Bulletin of the Seismological Society of America; August 1972; v. 62; no. 4; p. 973-983
© 1972 Seismological Society of America
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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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