Microwave and photonic devices design on periodical dielectric waveguides

The scattering properties of discontinuities between arbitary dielectric waveguides is obtained. The cross sections of the inhomogeneous dielectric waveguides are simulated by means of a grid of rectangular pixels enclosed by perfectly conducting boundaries. Consequently, there is not restriction in the cross section shape of the dielectrics as well as in the refractive index profile functions of the waveguides. Single and multiple discontinuities in cylindrical dielectric waveguides, as well as in planar and channel optical waveguides, were analyzed theoretically and experimentally. In all cases the agreement was excellent. Photonic band gaps, photonic windows and optical switching properties were obtained for periodic structures at optical frequencies. The possibilities of the method for analyzing microwave devices, waveguide photonic crystals as well as optical devices in dielectric periodic structures are demonstrated.