title: Design of photonic crystals with multiple and combined band gaps.
abstract: We present and use an algorithm based on convex conic optimization to design two-dimensional photonic crystals with large absolute band gaps. Among several illustrations we show that it is possible to design photonic crystals which exhibit multiple absolute band gaps for the combined transverse electric and magnetic modes. The optimized crystals show complicated patterns which are far different from existing photonic crystal designs. We employ subspace approximation and mesh adaptivity to enhance computational efficiency. For some examples involving two band gaps, we demonstrate the tradeoff frontier between two different absolute band gaps.
authors: National University of Singapore, Center for Singapore-MIT Alliance, Singapore 117576.
authors: H
authors: H
authors: Men
authors: N C
authors: NC
authors: Nguyen
authors: R M
authors: RM
authors: Freund
authors: K M
authors: KM
authors: Lim
authors: P A
authors: PA
authors: Parrilo
authors: J
authors: J
authors: Peraire