Dirac-cone photonic surface states in three-dimensional photonic crystal slab

We present a multiple-scattering method in conjunction with supercell calculations to study the electromagnetic surface states in three-dimensional photonic crystal slab. Using our technique, we obtain the first prediction of Dirac-cone photonic surface state in some three-dimensional photonic crystal slabs. Such a state can be used to investigate some extremal transmission phenomena of electromagnetic waves near the Dirac point on the surface of the crystal, which is similar to the case of electron on the surface of topological insulators.