%0 Journal Article
%T Semi-analytic method for slow light photonic crystal waveguide design
%A Patrick Blown
%A Caitlin Fisher
%A Felix J. Lawrence
%A Nadav Gutman
%A C. Martijn de Sterke
%J Physics
%D 2012
%I arXiv
%R 10.1016/j.photonics.2012.02.005
%X We present a semi-analytic method to calculate the dispersion curves and the group velocity of photonic crystal waveguide modes in two-dimensional geometries. We model the waveguide as a homogenous strip, surrounded by photonic crystal acting as diffracting mirrors. Following conventional guided-wave optics, the properties of the photonic crystal waveguide may be calculated from the phase upon propagation over the strip and the phase upon reflection. The cases of interest require a theory including the specular order and one other diffracted reflected order. The computational advantages let us scan a large parameter space, allowing us to find novel types of solutions.
%U http://arxiv.org/abs/1202.6426v1