A class of transfer functions in terms of layer matrices is derived, giving the transmission and reflection of plane harmonic P or S waves incident from either side of a plane layered core-mantle boundary. A computer program coded in complex arithmetic for the IBM 7094 is used to evaluate these functions. Numerical values obtained from five suggested models of the core-mantle boundary are compared and discussed. The aim is to formulate the method, and to establish some general guide, for the studies of the structure of the core-mantle boundary and the affenuation of seismic waves inside the core.

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