Scattering method calculation of losses in two-dimensional photonic crystal slabs and waveguides

Abstract

We describe a scattering matrix formalism used to model optical properties of two dimensional photonic crystals slabs. The determination of the scattering matrix poles allows us to simultaneously calculate the band structure and the corresponding losses of the electromagnetic modes, which contributes then to give a complete physical insight of the intrinsic properties of photonic crystal slabs. Using an in-plane supercell approach, a linear defect is also studied, leading to a complete evaluation of photonic crystal slab waveguides performances.