| Abstract: | Point source reflection/transmission responses from planar interfaces based on the Sommerfeld-Weyl integral are causal and are given in the form of a solution integral with an infinite integration limit. They can be simply transformed to integrals with a finite limit by an approach that takes into account causality as well as time-symmetry aspects. To introduce the fundamental principles involved, the transformation is applied to the simple case of a point-source response from a planar acoustic interface. For a point source above a planar interface separating an upper and lower acoustic half-space of velocity c1and c2 the inhomogeneous plane waves in the Sommerfeld-Weyl source representation do not contribute to the final result if c1≤c2 and only a limited spectrum of inhomogeneous plane waves comes into play if c1c2. |
