Selection rule for Dirac-like points in two-dimensional dielectric photonic crystals

被引：47

作者：

Li, Yan ^{[1
,2
]}

Wu, Ying ^{[2
]}

Chen, Xi ^{[1
]}

Mei, Jun ^{[1
]}

机构：

[1] S China Univ Technol, Dept Phys, Guangzhou 510641, Guangdong, Peoples R China

[2] KAUST, Div Comp Elect & Math Sci & Engn, Thuwal 239556900, Saudi Arabia

来源：

OPTICS EXPRESS | 2013年 / 21卷 / 06期

基金：

中国国家自然科学基金;

关键词：

ZITTERBEWEGUNG; TRANSMISSION; CONES;

D O I：

10.1364/OE.21.007699

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We developed a selection rule for Dirac-like points in two-dimensional dielectric photonic crystals. The rule is derived from a perturbation theory and states that a non-zero, mode-coupling integral between the degenerate Bloch states guarantees a Dirac-like point, regardless of the type of the degeneracy. In fact, the selection rule can also be determined from the symmetry of the Bloch states even without computing the integral. Thus, the existence of Dirac-like points can be quickly and conclusively predicted for various photonic crystals independent of wave polarization, lattice structure, and composition. (C) 2013 Optical Society of America

引用

页码：7699 / 7711

页数：13

共 50 条

[41] Transfer matrix of a Dirac-like singularity of the dielectric permittivity
Boucher, Y
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1997, 33 (02) : 265 - 268
[42] Enhancement of optical gain in two-dimensional photonic crystals with active lattice points
Nojima, S
JAPANESE JOURNAL OF APPLIED PHYSICS PART 2-LETTERS & EXPRESS LETTERS, 1998, 37 (5B): : L565 - L567
[43] Enhancement of optical gain in two-dimensional photonic crystals with active lattice points
Nojima, Sh.
Japanese Journal of Applied Physics, Part 2: Letters, 1998, 37 (5 B):
[44] Double Dirac cones in two-dimensional photonic crystals with C6 symmetry
Jiang, Jeng-Rung
Wu, Shiuan-Chi
Chen, Wei-Ting
Chern, Ruey-Lin
JOURNAL OF MODERN OPTICS, 2019, 66 (21) : 2119 - 2130
[45] Two-dimensional function photonic crystals
Liu, Xiao-Jing
Liang, Yu
Ma, Ji
Zhang, Si-Qi
Li, Hong
Wu, Xiang-Yao
Wu, Yi-Heng
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2017, 85 : 227 - 237
[46] Two-dimensional tunable photonic crystals
Figotin, A.
Godin, Y. A.
Vitebsky, I.
Physical Review B: Condensed Matter, 57 (05):
[47] Photonic Dirac point realized in two dimensional annular photonic crystals
Zhang Zhong-Jie
Shen Yi-Feng
Zhao Hao
ACTA PHYSICA SINICA, 2015, 64 (14)
[48] Refraction in two-dimensional photonic crystals
Khromova, IA
Melnikov, LA
SARATOV FALL MEETING 2003: LASER PHYSICS AND PHOTONICS, SPECTROSCOPY, AND MOLECULAR MODELING IV, 2004, 5476 : 49 - 56
[49] Two-dimensional tunable photonic crystals
Figotin, A
Godin, YA
Vitebsky, I
PHYSICAL REVIEW B, 1998, 57 (05): : 2841 - 2848
[50] Transfer matrix of a Dirac-like singularity of the dielectric permittivity
ENIB/RESO, Brest, France
IEEE J Quantum Electron, 2 (265-268):

← 1 2 3 4 5 →