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Bulletin of the Seismological Society of America; December 1978; v. 68; no. 6; p. 1577-1593
© 1978 Seismological Society of America
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A simple method for the computation of body-wave seismograms

S. K. DEY-SARKAR* and C. H. CHAPMAN

DEPARTMENT OF PHYSICS UNIVERSITY OF TORONTO, TORONTO, ONTARIO, Canada, M5S 1A7

Abstract

The computational procedure for a new method of computing high-frequency body-wave seismograms for a spherically symmetric earth model is presented. The seismograms are accurate provided that the WKBJ approximation can be used for the transformed response and the asymptotic form of the Legendre function is applicable. The method remains valid when geometrical ray theory breaks down at caustics and for head waves. The computation of the seismograms is extremely easy and rapid as both inverse transforms are evaluated analytically. Seismograms are presented to show how, for a discrete time series, the method is insensitive to small features in the model. The method is illustrated for a reflected signal plus a head wave and for turning rays in three very different upper mantle models.

Footnotes

* Present address: Gulf Science & Technology Company, P.O. Drawer 2038, Pittsburgh, Pennsylvania 15230.




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