The solution using Cagniard’s method for the reflection of a spherical wave from a locally reacting plane boundary is compared to that using the steepest descents method. The contribution from the presence of a pole is less arbitrary using this method and the transition from the pole to the no pole case is shown to be gradual. A further solution in the time domain for an incident time impluse function is also derived.Subject Classification: [43]20.15, [43]20.30; [43]28.40.