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The field from an SH point source in a continuously layered inhomogeneous half-space. II. The field in a half-space

Vlaar, N. J. (1966) The field from an SH point source in a continuously layered inhomogeneous half-space. II. The field in a half-space. Bulletin of the Seismological Society of America, 56 (6). pp. 1305-1315. ISSN 0037-1106.

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The propagation of waves due to the presence of an SH point source in the interior of a piecewise continuously stratified half-space is studied. The physical parameters governing the wave propagation, i.e. the rigidity and the density, are assumed to be arbitrary piecewise continuous functions of depth with constant finite limiting values as depth goes to infinity. The analysis is based on spectral theory of boundary value problems associated with ordinary linear second order differential equations. It is found for the time harmonic case that the final field representations are given in the form of a finite residue series, plus a branch line integral, the first representing the normal mode contribution to the field. The field expression appears to have a symmetrical form with respect to field point depth and source depth, involving solutions connected with free wave propagation. This enables one to draw immediately conclusions regarding the influence of the source depth and the frequency on the spectral excitation of the normal modes if numerical knowledge of free Love waves is assumed to be known.

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Additional Information:Copyright © 1966, by the Seismological Society of America. Manuscript received April 22, 1966. I wish to thank Dr. Don L. Anderson with whom I discussed several seismological implications of the developed theory. This research was supported by the Advanced Research Projects Agency and was monitored by the Air Force Office of Scientific Research under Contract AF-49 (638)-1337.
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Air Force Office of Scientific Research (AFOSR)AF-49 (638)-1337
Advanced Research Projects Agency (ARPA)UNSPECIFIED
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Caltech Division of Geological Sciences1406
Issue or Number:6
Record Number:CaltechAUTHORS:20140801-152331982
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47842
Deposited By: George Porter
Deposited On:01 Aug 2014 22:30
Last Modified:03 Oct 2019 06:57

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