title: Waveguiding at the edge of a three-dimensional photonic crystal.
abstract: We find that electromagnetic waves can be guided at the edge of a three-dimensional photonic crystal in air. When the waveguide is defined by the intersection of two surface planes, the edge modes are associated with the corresponding surface bands. A simple cell counting approach is presented to describe the periodic evolution of the system with interesting interplays among edge, surface, and bulk states.
authors.affiliation: Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: Ling
authors.initials: L
authors.lastname: Lu
authors.forename: John D
authors.initials: JD
authors.lastname: Joannopoulos
authors.forename: Marin
authors.initials: M
authors.lastname: Soljačić