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

Band Structure and Dispersion Properties of Photonic Quasicrystals

In this paper, for developing analytical and semi-analytical methods to evaluate band structure in photonic quasicrystals the perturbation theory is examined. It is shown that more isotropic and complete photonic band gap can be observed under low dielectric contrast for photonic quasicrystals in comparison with ordinary crystals and because of this feature of photonic quasicrystals, perturbati...

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.

Impact of geometry on the TM photonic band gaps of photonic crystals and quasicrystals.

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...

Optics of photonic quasicrystals

177 The use of optical interference to enhance device performance is one of the most important tools in modern optics1. Important examples include photonic crystals2–4, laser action in distributed feedback resonators5,6, anomalous transmission through perforated metal films with subwavelength aperture arrays7, coherent backscattering enhancement8–10, image reconstruction11 and Anderson localiza...

Impact of Geometry on the TM Photonic Band Gaps of Photonic Crystals and Quasicrystals Citation

Photonic Band Structure and Transmittance of the Superconductor Photonic Crystal

The photonic crystal (PhC) is formed with a dielectric periodic structure and exhibits new electromagnetic phenomena (John, 1987). It shows some properties analog to the semiconductor, such as the photonic band structure (PBS) including photonic passing bands and photonic band gaps (PBGs), and complicated dispersion relations. In analogous to the electron transport in the semiconductor, the Blo...