Photonic band gaps of two-dimensional photonic lattices: The face-centered graphite structures

We describe the calculation of photonic band structures of two-dimensional lattices made of more than one dielectric array. In particular, we study a face-centered graphite (fcg) structure obtained by an arrangement of two sets of cylindrical rods, one located at the vertices of regular hexagons (graphite sublattice) and another in the center of the hexagons (triangle sublattice). Changing the diameter of the centered rods, different patterns are produced including both triangle and graphite structures. We evaluate their relationships in terms of the existence of absolute photonic band gaps common to E and H polarized waves. (C) 1997 Academic Press Limited.