title: Group-theoretical description of the triangular air-silica photonic crystal -out-of-plane propagation.
abstract: The method of assigning irreducible representations to modes in three-dimensional photonic structures is applied to the two-dimensional triangular air-silica lattice with out-of-plane wave propagation. In particular prediction of spatial symmetries of the crystal modes is addressed. We show how the photonic bands are affected by different rod radii and out-of-plane components from a group-theoretical point of view. One particular defect mode is analyzed and the structure which is optimal for air-guidance is found.
authors.forename: M
authors.initials: M
authors.lastname: Løkke
authors.forename: N
authors.initials: N
authors.lastname: Christensen
authors.forename: J
authors.initials: J
authors.lastname: Riishede
authors.forename: A
authors.initials: A
authors.lastname: Bjarklev