It has been known for some time that the downgoing normal–incidence wave train emanating from a horizontally stratified nonabsorptive medium into a homogeneous half–space below it has the minimum–phase property whenever the surface source pulse is a unit spike, and whenever the downgoing wave motion is measured relative to its first arrival at the deepest interface. We demonstrate that this behavior is quite general, namely that the minimum–phase property is associated with the downgoing wave in each subsurface layer, provided that each downgoing wave be measured relative to its first arrival time.

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