Guidance of Surface Waves with Dielectric Waveguides Having Finite or Infinite Periodic Corrugations

A planar open dielectric waveguide with periodic rectangular corrugations is investigated in the case that surface wave is guided and propagates normally to the corrugation. Our approximate analysis with the propagation characteristics is to consider a corresponding bounded waveguide problem in which perfect electric or magnetic walls are introduced, and the periodic corrugation is regarded as consisting of step discontinuities connected by a length of uniform slab waveguide. By properly taking into account of both surface modes and only a few non-surface-modes, and using conservation of complex power technique (CCPT) as well as solution selection rule (SSR), we can readily derive propagation characteristics in the Bragg interaction region. The calculated results show an excellent agreement with previously published ones.