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.
© 2005 Optical Society of America
Karlene Rosera Maskaly, W. Craig Carter, Richard D. Averitt, and James L. Maxwell, "Application of the homogenization approximation to rough one-dimensional photonic crystals," Opt. Lett. 30, 2930-2932 (2005)