Calculations on 2-dimensional waveguides in photonic crystals

Using 2 different numerical methods (FDTD and a novel pandirectional planar Helmholtz solver), we analyzed the waveguide behaviour of a channel in a 2-dimensional photonic crystal. We calculated the bandgap of the crystal and the dispersion of a waveguide that is formed by a missing row of rods in the crystal. The coupling to this waveguide of both a Gaussian beam and a dielectric slab waveguide could be modeled and coupling efficiencies calculated.