Transition functions for high-frequency diffraction by a curved perfectly conducting wedge. II. A partially uniform solution for a general wedge angle

For pt.I see ibid., vol.37, no.9, p.1073-9(1989). In pt.I, transition function solutions for the combined surface-edge diffraction were derived from the rigorous, canonical solution for a thin cylindrically curved sheet. Here, similar solutions are derived for the more general case of diffraction by a perfectly conducting curved wedge. In the absence of a canonical solution for this case, the theory developed here is a physical one. It is an extension of the spectral theory of diffraction to the Fock solution for the penumbra region field near a convex surface. For certain domains of illumination aspects and field points, this procedure recovers the results obtained by other authors, starting, however, from more plausible assumptions and providing a ne insight. For other domains, it yields asymptotic solutions for the first time, thus demonstrating greater generality than in the previous approaches. The results are checked in two ways: first, they reduce to the rigorous results of pt.I when specialized to a curved sheet; second, they are shown to agree with a moment-method solution for a structure involving a curved wedge