Surface waves on a right angled wedge

We investigate the fields produced by a line source located at the vertex of a right angled wedge, both of whose faces can sustain surface waves. The mathematical formulation of the problem involves the use of an impedance boundary condition. The impedance represents the effect of a corrugation of the surface, for example. It turns out that the radiated field is an elementary function of the observation angle. The surface wave amplitude tends to simple limiting values as its phase velocity tends to the velocity of propagation in free space, and also as the phase velocity is decreased without limit. The results are compared with similar results valid for a line source on an infinite plane. The method employed can be applied to treat wedges of more general angles.