Designing finite-height two-dimensional photonic crystal waveguides

Abstract

Guidelines for designing planar waveguides based on introducing line-defects in two-dimensional photonic-crystal slabs are obtained by comparing calculations on two-dimensional structures with dispersion relations for the media above and below the slab.

Theoretical analysis of finite-height semiconductor-on-insulator-based planar photonic crystal waveguides

“…Theoretically, photonic crystal waveguides with a high vertical index contrast may support leakage-free bandgap guidance of light. For these waveguides, it is possible to obtain design rules for construction of leakage-free bandgap-guiding waveguides based on 2-D calculations [22], [23]. Also appearing in the literature are 3-D theoretical calculations for finite-height waveguides [24]- [28].…”

“…Waveguides where one seeks to confine light using a smaller vertical index step have also been explored experimentally by Tokushima et In this paper, we investigate theoretically a photonic crystal waveguide based on the semiconductor-on-insulator (SOI) materials system. We have previously developed a technique for obtaining design guidelines for photonic crystal waveguides based on 2-D calculations [22], [23]. In Section II, this technique is used for obtaining design guidelines for the photonic crystal waveguide.…”

Advances in silica-based integrated optics

“…First of all, it is preferable to design the waveguides so that propagation takes place at frequencies below the cladding line, 75 where spontaneous ͑without special phasematching͒ coupling to the cladding is impossible. Therefore, the bandgap material should be based on holes rather than rods.…”

Demonstration of high waveguide bending efficiency (>90%) in a photonic-crystal slab at 1.5-μm wavelengths

“…Until recently, this problem is solved by using a photonic-crystal slab structure [1,2] with strong vertical index guiding. Such a slab structure has drawn a tremendous interest both theoretically [6][7][8][9] and experimentally [10][11][12] in optical interconnect applications. In this kind of slab structures, the vertical confinement is given by strong index guiding whereas the in-plane guiding is provided by the PBG effect.…”