“…Others studied multilayered structures, but either missed de Hoop's modification (Pao and Gajewski 1977), or only solved the scalar acoustic case (Aki and Richards 1980), or introduced ap proximations to the method (Wiggins and Helmberger 1974). Of course, there are also many positive aspects to the previously mentioned papers; in fact, we have used them as much as possible; we mention great educational clarity (Aki and Richards 1980), elegant notation (Pao and Gajewski 1977) and a very clear and detailed statement of the results (Johnson 1974, Wig gins andHelmberger 1974). In particular, we shall present the solution to the problem in its simplest form and state its concise solution for the all of these encompassing case of an arbitrarily layered isotropic solid.…”