“…4,[6][7][8] For the case of two-dimensional photonic crystal slabs in air ͑finite height crystals͒, the existence of bound states has been demonstrated theoretically, 16,17 and experimental letters on crystal slabs have also appeared. 9,15,18 Naturally, planar waveguides based on photonic crystals cannot be of infinite height, and guidelines for the design of finite-height waveguides are, therefore, important for the realization of planar photonic crystal waveguides. In this letter, we compare calculations on two-dimensional photonic crystals with the dispersion relations for the media above and below the crystal slab.…”