Selection rule for Dirac-like points in two-dimensional dielectric photonic crystals
Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Physical Science and Engineering (PSE) Division
Waves in Complex Media Research Group
Date
2013-03-21Online Publication Date
2013-03-21Print Publication Date
2013-03-25Permanent link to this record
http://hdl.handle.net/10754/562488
Metadata
Show full item recordAbstract
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. © 2013 Optical Society of America.Citation
Li, 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.21.007699Sponsors
This 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.Publisher
The Optical SocietyJournal
Optics ExpressPubMed ID
23546151ae974a485f413a2113503eed53cd6c53
10.1364/OE.21.007699
Scopus Count
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