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A matrix method for elastic wave problems

Knopoff, L. (1964) A matrix method for elastic wave problems. Bulletin of the Seismological Society of America, 54 (1). pp. 431-438. ISSN 0037-1106.

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The solution to problems of elastic wave propagation in multilayered media, in which each layer is homogeneous and where the ensemble of layers has physical properties that vary only with one coordinate, may be given as the quotient of products of matrices. In the case of SH waves, the matrices are of order two; in the case of P-SV waves the matrices are of order four. The individual matrix elements are themselves determinants of order two or four in the two cases. The solution is obtained by means of Laplace's development by minors.

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Additional Information:Copyright © 1964, by the Seismological Society of America. Manuscript received June 25, 1963. This research was performed under NSF Grant G-10324.
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Caltech Division of Geological Sciences1127
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47808
Deposited By: George Porter
Deposited On:01 Aug 2014 20:23
Last Modified:03 Oct 2019 06:57

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