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The reflectivity method for the computation of theoretical seismograms is extended for the case of a point source buried in a layered medium. Two sources are considered, an explosive source and a vertical single force. Appearing accuracy problems are solved. Poles of Rayleigh waves are shifted away from the real axis of the wavenumber plane by introducing attenuation, in order to allow numerical integration along the real axis. The results of several computations are discussed. This method allows the computation of complete seismograms including surface waves, leaking modes and all body wave phases, including depth phases like pP.
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