Selection rule for Dirac-like points in two-dimensional dielectric photonic crystals
KAUST DepartmentApplied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Physical Science and Engineering (PSE) Division
Waves in Complex Media Research Group
Online Publication Date2013-03-21
Print Publication Date2013-03-25
Permanent link to this recordhttp://hdl.handle.net/10754/562488
MetadataShow full item record
AbstractWe 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. © 2013 Optical Society of America.
CitationLi, Y., Wu, Y., Chen, X., & Mei, J. (2013). Selection rule for Dirac-like points in two-dimensional dielectric photonic crystals. Optics Express, 21(6), 7699. doi:10.1364/oe.21.007699
SponsorsThis work was supported by the National Natural Science Foundation of China (Grant No. 11274120), the Fundamental Research Funds for the Central Universities (Grant No. 2012ZZ0077), and the KAUST Baseline Research Fund.
PublisherThe Optical Society
- Double Dirac cones in two-dimensional dielectric photonic crystals.
- Authors: Li Y, Mei J
- Issue date: 2015 May 4
- Three-dimensional dielectric phoxonic crystals with network topology.
- Authors: Ma TX, Wang YS, Wang YF, Su XX
- Issue date: 2013 Feb 11
- Light propagation in three-dimensional photonic crystals.
- Authors: Kawashima S, Ishizaki K, Noda S
- Issue date: 2010 Jan 4
- All-optical bistability and switching near the Dirac point of a 2-D photonic crystal.
- Authors: Mattiucci N, Bloemer MJ, D'Aguanno G
- Issue date: 2013 May 20
- Optimal higher-lying band gaps for photonic crystals with large dielectric contrast.
- Authors: Chern RL, Chao SD
- Issue date: 2008 Oct 13