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Bulletin of the Seismological Society of America; August 1973; v. 63; no. 4; p. 1315-1319
© 1973 Seismological Society of America
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On the problem of the convergence of the eikonal expansion for synthetic seismograms

EMILE OKAL and PIERRE MECHLER

GROUPE DE GÉOPHYSIQUE LABORATOIRE DE PHYSIQUE DE L'ECOLE NORMALE SUPÉRIEURE, 24, RUE LHOMOND, 75231 PARIS CEDEX 05, France

Abstract

In this paper, we discuss the convergence of the eikonal method, when applied to computing synthetic seismograms, by means of a comparison with the exact solution, computed through the Cagniard method. We prove that the eikonal method may yield a divergent series, for sufficiently large t–{tau}.






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