Here we demonstrate a novel quantitative procedure to pursue statistical studies on the geometric properties of photonic crystals and photonic quasicrystals (PQCs) which consist of separate dielectric particles. The geometric properties are quantified and correlated to the size of the photonic band gap (PBG) for wide permittivity range using three characteristic parameters: shape anisotropy, si...

The band structure of two-dimensional chalcogenide glass photonic crystal of triangular lattice structure is calculated at terahertz frequencies using Plane Wave Expansion Method. The band gap ratio was found to vary with variation of the structural parameters such as fill factor and dielectric contrast. The spatial asymmetry associated with lattice structure gives rise to a complete photonic b...

We present a quantum model of two-level atoms localized in a three-dimensional lattice based on the Hopfield polariton theory. In addition to a polaritonic gap at the excitation energy, a photonic band gap opens up at the Brillouin zone boundary. Upon tuning the lattice period or angle of incidence to match the photonic gap with the excitation energy, one obtains a combined polaritonic and phot...