Analyzing photonic crystal heterostructure mode-gap cavities by Dirichlet-to-Neumann maps

Photonic crystal heterostructure mode-gap cavities, constructed by connecting two kinds of photonic crystal waveguides with different lattice constants, are important photonic devices. In this paper, we extend the Dirichlet-to-Neumann map method to analyze mode-gap cavities in two-dimensional photonic crystal heterostructures. The efficiency of our method is illustrated by numerical simulations.