Scattering of a surface wave from a curvature discontinuity on a convex impedance surface

An asymptotic "boundary-layer" set of quasimodes is constructed for the representation of fields in the vicinity of a convex reactive surface, whose formal structure is the same as that of the exact modes for the corresponding straight surface. These quasimodes are then used to solve for the scattering of a surface wave at a curvature discontinuity in a reactive surface. The present approach is a generalization of the perspective of the geometrical theory of surface waves, and is compared and contrasted with others presently available in the literature. Finally, the scattering at the discontinuity is compared with the power continuously radiated by the surface wave in traveling around the bend, providing some insight for design of curved surface waveguide structures.