title: Large full band gaps for photonic crystals in two dimensions computed by an inverse method with multigrid acceleration.
abstract: In this study, two fast and accurate methods of inverse iteration with multigrid acceleration are developed to compute band structures of photonic crystals of general shape. In particular, we report two-dimensional photonic crystals of silicon air with an optimal full band gap of gap-midgap ratio Deltaomega/omega(mid)=0.2421, which is 30% larger than ever reported in the literature. The crystals consist of a hexagonal array of circular columns, each connected to its nearest neighbors by slender rectangular rods. A systematic study with respect to the geometric parameters of the photonic crystals was made possible with the present method in drawing a three-dimensional band-gap diagram with reasonable computing time.
authors.affiliation: Institute of Physics, Academia Sinica, Taipei 115, Taiwan, Republic of China.
authors.forename: R L
authors.initials: RL
authors.lastname: Chern
authors.forename: C Chung
authors.initials: CC
authors.lastname: Chang
authors.forename: Chien C
authors.initials: CC
authors.lastname: Chang
authors.forename: R R
authors.initials: RR
authors.lastname: Hwang