Photonic band structure calculations of two-dimensional Archimedean tiling patterns

Photonic band structure of two-dimensional atomic lattices

Band structure calculation in two-dimensional Kerr-nonlinear photonic crystals

Using the finite-difference time-domain method, based on the numerical simulation of oscillating dipole radiation, we analyze band structures in two-dimensional Kerr-nonlinear photonic crystals. This method is more thorough at calculating band structures in two-dimensional Kerr-nonlinear photonic crystals than approaches proposed earlier. We find that the band structures calculated for both TE ...

Two-Dimensional Ferroelectric Photonic Crystals: Optics and Band Structure

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Larger Two-Dimensional Photonic Band Gaps.

Absolute photonic band gaps in two-dimensional square and honeycomb lattices of circular crosssection rods can be increased by reducing the structure symmetry. The addition of a smaller diameter rod into the center of each lattice unit cell lifts band degeneracies to create significantly larger band gaps. Symmetry breaking is most effective at filling fractions near those which produce absolute...

Linearization techniques for band structure calculations in absorbing photonic crystals

Band structure calculations for photonic crystals require the numerical solution of eigenvalue problems. In this paper, we consider crystals composed of lossy materials with frequency-dependent permittivities. Often, these frequency dependencies are modeled by rational functions, such as the Lorentz model, in which case the eigenvalue problems are rational in the eigenvalue parameter. After spa...