Guided modes of a line-defect EBG slab waveguide in a 3-D square lattice of metallic open square rings

We present theoretical studies on an EBG line-defect waveguide which is formed in a two-dimensional (2D) slab, comprised of a square lattice of multi-layer metallic open square rings (OSRs). The waveguide is created by reducing the size of the layered rings to create a channel area. We compute the dispersion diagrams and the eigenfield distributions of the guided modes. It is shown that these guided modes are confined to the channel waveguide vertically (as a result of confinement via the slab) and horizontally (as a result of confinement by the EBG lattice). Also it is observed that the number of layers having defects corresponds to the number of confined modes. Furthermore, single guided, in-gap and broadband mode operation is illustrated. These characteristics give rise to a compact, broadband and multi-band EBG slab waveguide.