Guided resonances in photonic crystals with point-defected aperiodically-ordered supercells.

In this paper, we study the excitation of guided resonances (GRs) in photonic-crystal slabs based on point-defected aperiodically-ordered supercells. With specific reference to perforated-slab structures and the Ammann-Beenker octagonal lattice geometry, we carry out full-wave numerical studies of the plane-wave responses and of the underlying modal structures, which illustrate the representative effects induced by the introduction of symmetry-preserving and symmetry-breaking defects. Our results demonstrate that breaking the supercell mirror symmetries via the judicious introduction of point-defects enables for the excitation of otherwise uncoupled GRs, with control on the symmetry properties of their field distributions, thereby constituting an attractive alternative to those GR-engineering approaches based on the asymmetrization of the hole shape. In this framework, aperiodically-ordered supercells seem to be inherently suited, in view of the variety of inequivalent defect sites that they can offer.

[1]  Kengo Nozaki,et al.  Quasiperiodic photonic crystal microcavity lasers , 2004 .

[2]  Shanhui Fan,et al.  Analysis of guided resonances in photonic crystal slabs , 2002 .

[3]  Shanhui Fan,et al.  Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities , 2004 .

[4]  V. Pierro,et al.  Mode Confinement in Photonic Quasi-Crystal Point-Defect Cavities for Particle Accelerators , 2008, 0809.4997.

[5]  U. Fano Effects of Configuration Interaction on Intensities and Phase Shifts , 1961 .

[6]  Stefania Campopiano,et al.  Guided resonances in photonic quasicrystals. , 2009, Optics express.

[7]  Uwe Grimm,et al.  Aperiodic tilings on the computer , 1999, cond-mat/9903010.

[8]  S. Campopiano,et al.  Parametric study of guided resonances in octagonal photonic quasicrystals , 2009 .

[9]  Olav Solgaard,et al.  Controlling uncoupled resonances in photonic crystals through breaking the mirror symmetry. , 2008, Optics express.

[10]  Ekmel Ozbay,et al.  Photonic band-gap effect, localization, and waveguiding in the two-dimensional Penrose lattice , 2001 .

[11]  Steven G. Johnson,et al.  Subwavelength imaging in photonic crystals , 2003 .

[12]  J. Cahn,et al.  Metallic Phase with Long-Range Orientational Order and No Translational Symmetry , 1984 .

[13]  Masaya Notomi,et al.  Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap , 2000 .

[14]  E. Yablonovitch,et al.  Inhibited spontaneous emission in solid-state physics and electronics. , 1987, Physical review letters.

[15]  Sakoda Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices. , 1995, Physical review. B, Condensed matter.

[16]  Vincenzo Galdi,et al.  Localized modes in photonic quasicrystals with Penrose-type lattice. , 2006, Optics express.

[17]  Daniel M. Mittleman,et al.  Dependence of guided resonances on the structural parameters of terahertz photonic crystal slabs , 2008 .

[18]  V. Weisskopf,et al.  Effects of Configuration Interaction on Intensities and Phase Shifts , 2001 .

[19]  P. Steinhardt,et al.  Quasicrystals: a new class of ordered structures , 1984 .

[20]  D. Mittleman,et al.  The effect of structural disorder on guided resonances in photonic crystal slabs studied with terahertz time-domain spectroscopy. , 2007, Optics express.

[21]  S Enoch,et al.  Band gap formation and multiple scattering in photonic quasicrystals with a Penrose-type lattice. , 2005, Physical review letters.

[22]  Walter Steurer,et al.  Photonic and phononic quasicrystals , 2007 .

[23]  R. M. Stevenson,et al.  Resonant coupling of near-infrared radiation to photonic band structure waveguides , 1999 .