title: Application of the homogenization approximation to rough one-dimensional photonic crystals.
abstract: As previously reported [Opt. Lett. 29, 2791 (2004)], one-dimensional photonic crystals exhibit a decrease in their normal reflectivity if their interfaces are not flat. We show that the homogenization approximation accurately predicts this diminished optical response by comparing results with finite-difference time-domain (FDTD) simulations applied to the same roughened structures. Within the parameter range tested (rms roughness < 20% and rms wavelengths < 100% of the photonic crystal periodicity), the homogenization approximation accurately reproduces the reflectivities obtained by the FDTD simulations, which are much more computationally expensive.
authors.affiliation: Department of Materials Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA. karlene@alum.mit.edu
authors.forename: Karlene Rosera
authors.initials: KR
authors.lastname: Maskaly
authors.forename: W Craig
authors.initials: WC
authors.lastname: Carter
authors.forename: Richard D
authors.initials: RD
authors.lastname: Averitt
authors.forename: James L
authors.initials: JL
authors.lastname: Maxwell