Waves traveling over slightly curved surfaces

An investigation of the effects of curving the structure over which a surface wave is guided is of interest in the design of radiators in which surface waves are used as well as in the development of transitions or the bending of surface waveguides. Applications may also be found in the areas of scattering and diffraction by curved slow-wave structures. The effects of curvature in the direction of propagation are studied by utilizing a sequence of easily solved differential equations which is obtained by use of the coordinate transformation.