| Abstract: | This paper collects certain results concerning wave propagation in two-and-one-half dimensions, i.e., three-dimensional (3-D) wave propagation in a medium that has variations in two dimensions only. The results of interest are for sources and receivers in the plane determined by the two directions of parameter variation. The objective of this work is to reduce the analysis of the in-plane propagation to 2-D analysis while retaining–at least asymptotically–the proper 3-D geometrical spreading. We do this for the free space Green's function and for the Kirchhoff approximate upward scattered field from a single reflector. In both cases the derivation is carried out under the assumption of a background velocity c(x, z) with the special cases c = c0 and c = c(z). |
