title: Three-dimensional photonic crystals by large-area membrane stacking.
abstract: We designed and analyzed a "mesh-stack" three-dimensional photonic crystal of a 12.4% bandgap with a dielectric constant ratio of 12 : 1. The mesh-stack consists of four offset identical square-lattice air-hole patterned membranes in each vertical period that is equal to the in-plane period of the square lattice. This design is fully compatible with the membrane-stacking fabrication method, which is based on alignment and stacking of large-area single-crystal membranes containing engineered defects. A bandgap greater than 10% is preserved as long as the membranes are subjected to in-plane misalignment less than 3% of the square period. By introducing a linear defect with a nonsymmorphic symmetry into the mesh-stack, we achieved a single-mode waveguide over a wide bandwidth.
authors.affiliation: Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. linglu@mit.edu
authors.forename: Ling
authors.initials: L
authors.lastname: Lu
authors.forename: Lin Lee
authors.initials: LL
authors.lastname: Cheong
authors.forename: Henry I
authors.initials: HI
authors.lastname: Smith
authors.forename: Steven G
authors.initials: SG
authors.lastname: Johnson
authors.forename: John D
authors.initials: JD
authors.lastname: Joannopoulos
authors.forename: Marin
authors.initials: M
authors.lastname: Soljačić