Impact of Geometry on the TM Photonic Band Gaps of Photonic Crystals and Quasicrystals

被引:23
作者
Jia, Lin [1 ]
Bita, Ion [2 ]
Thomas, Edwin L. [1 ]
机构
[1] MIT, Dept Mat Sci & Engn, Inst Soldier Nanotechnol, Cambridge, MA 02139 USA
[2] Qualcomm MEMS Technol, San Jose, CA 95134 USA
关键词
D O I
10.1103/PhysRevLett.107.193901
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Here we demonstrate a novel quantitative procedure to pursue statistical studies on the geometric properties of photonic crystals and photonic quasicrystals (PQCs) which consist of separate dielectric particles. The geometric properties are quantified and correlated to the size of the photonic band gap (PBG) for wide permittivity range using three characteristic parameters: shape anisotropy, size distribution, and feature-feature distribution. Our concept brings statistical analysis to the photonic crystal research and offers the possibility to predict the PBG from a morphological analysis.
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页数:5
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共 19 条
[1]   Tricontinuous double gyroid cubic phase in triblock copolymers of the ABA type [J].
Avgeropoulos, A ;
Dair, BJ ;
Hadjichristidis, N ;
Thomas, EL .
MACROMOLECULES, 1997, 30 (19) :5634-5642
[2]   Complex 2D photonic crystals with analogue local symmetry as 12-fold quasicrystals [J].
Cheng, Shih-Chieh ;
Zhu, Xuelian ;
Yang, Shu .
OPTICS EXPRESS, 2009, 17 (19) :16710-16715
[3]   Optimal higher-lying band gaps for photonic crystals with large dielectric contrast [J].
Chern, Ruey-Lin ;
Chao, Sheng D. .
OPTICS EXPRESS, 2008, 16 (21) :16600-16608
[4]   Band gap formation and multiple scattering in photonic quasicrystals with a Penrose-type lattice [J].
Della Villa, A ;
Enoch, S ;
Tayeb, G ;
Pierro, V ;
Galdi, V ;
Capolino, F .
PHYSICAL REVIEW LETTERS, 2005, 94 (18) :1-4
[5]   Experimental demonstration of two methods for controlling the group delay in a system with photonic-crystal resonators coupled to a waveguide [J].
Huo, Yijie ;
Sandhu, Sunil ;
Pan, Jun ;
Stuhrmann, Norbert ;
Povinelli, Michelle L. ;
Kahn, Joseph M. ;
Harris, James S. ;
Fejer, Martin M. ;
Fan, Shanhui .
OPTICS LETTERS, 2011, 36 (08) :1482-1484
[6]   Theoretical study on photonic devices based on a commensurate two-pattern photonic crystal [J].
Jia, Lin ;
Thomas, Edwin L. .
OPTICS LETTERS, 2011, 36 (17) :3416-3418
[7]   Photonic density of states of two-dimensional quasicrystalline photonic structures [J].
Jia, Lin ;
Bita, Ion ;
Thomas, Edwin L. .
PHYSICAL REVIEW A, 2011, 84 (02)
[8]   Broad-wavelength-range chemically tunable block-copolymer photonic gels [J].
Kang, Youngjong ;
Walish, Joseph J. ;
Gorishnyy, Taras ;
Thomas, Edwin L. .
NATURE MATERIALS, 2007, 6 (12) :957-960
[9]   Gap deformation and classical wave localization in disordered two-dimensional photonic-band-gap materials [J].
Lidorikis, E ;
Sigalas, MM ;
Economou, EN ;
Soukoulis, CM .
PHYSICAL REVIEW B, 2000, 61 (20) :13458-13464
[10]   Mechanical Kerr nonlinearities due to bipolar optical forces between deformable silicon waveguides [J].
Ma, Jing ;
Povinelli, Michelle L. .
OPTICS EXPRESS, 2011, 19 (11) :10102-10110