Abstract
A combination of the WKBJ asymptotic expansion and the Cagniard–De Hoop method is used to determine the total space-time domain acoustic wave field in a continuously layered configuration. In the transform domain, a recurrence scheme for the coefficients of the WKBJ asymptotic expansion is derived from the integral equations of the problem. This scheme is well suited for implementation in a symbolical manipulation program, e.g., Mathematica. The WKBJ asymptotic expansion is transformed back to the space-time domain by applying the Cagniard–De Hoop method in a particularly efficient way. For various configurations numerical results are presented, which show that the presented approach yields accurate results for instants ranging up to many times the arrival time.
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