Photonic Band Structure of Atomic Lattices

Photonic band structure of two-dimensional atomic lattices

Photonic band structure computations.

We introduce a novel algorithm for band structure computations based on multigrid methods. In addition, we demonstrate how the results of these band structure calculations may be used to compute group velocities and effective photon masses. The results are of direct relevance to studies of pulse propagation in such materials.

An Approximate Analytic Model for Evaluating the Photonic Band Structure of a 2-D Octagonal Photonic Quasicrystals

In this work, using perturbation technique we have developed an approximate analytic model for evaluating the band structure of a 2-D octagonal photonic quasicrystal (PQC). Although numerical techniques are being used for evaluating such band structures, developing a numerical model to the best of our knowledge this work is the first instance of reporting helps to understand the physical proper...

Photonic band gaps of three-dimensional face-centered cubic lattices

Using the photonic analogue of the Korringa-Kohn-Rostocker (KKR) method, the spectrum of electromagnetic waves in a three-dimensional fcc lattice of homogeneous dielectric spheres with various dielectric contrast is analyzed. We confirm the main features of the spectrum obtained by the plane wave method, namely that for a sufficiently high dielectric contrast a full gap opens in the spectrum be...

Photonic band gaps based on tetragonal lattices of slanted pores.

We describe broad new classes of three-dimensional (3D) structures which, when made of silicon, exhibit robust 3D photonic band gaps of up to 25% of the gap center frequency. The proposed photonic crystals are readily amenable to very high precision microfabrication using established techniques such as x-ray lithography and template inversion. Each architecture consists of a set of oriented cyl...