Orientation-dependent local density of states in three-dimensional photonic crystals

We present a fast and efficient method to compute photonic orientation-dependent local density of states (ODLDOS) in photonic crystals (PCs) based on the point group transform of the vector field. We swiftly calculate the ODLDOS by this method and acquire the same results as that computed based on many more k points in half of the first Brillouin zone (FBZ) in face-center-cubic (fcc) photonic crystals. As an example, we also apply this method to investigate the properties of woodpile photonic crystals and find the remarkable differences in the ODLDOS along different polarization directions.