Photonic band structure calculations for metal-clad two-dimensional photonic crystal slab

We study the effect of metallic cladding on the band structure of a two-dimensional photonic crystal slab. Band structures of a honeycomb patterned two-dimensional photonic crystal slab, with/without a metal-clad or a perfect conductor clad, are calculated using both the finite-difference time-domain (FDTD) method and the plane wave expansion (PWE) method. We explain the changes of the band structure due to cladding. We also show that the band structure of a metal-clad photonic crystal can be obtained effectively from the odd modes of the air bridge type dielectric photonic crystal slab, thicker than the metal-clad photonic crystal by a factor larger than two.