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

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    Type
    Article
    Authors
    Li, Yan
    Wu, Ying cc
    Chen, Xi
    Mei, Jun cc
    KAUST Department
    Applied 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
    Date
    2013-03-21
    Online Publication Date
    2013-03-21
    Print Publication Date
    2013-03-25
    Permanent link to this record
    http://hdl.handle.net/10754/562488
    
    Metadata
    Show full item record
    Abstract
    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.21.007699
    Sponsors
    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 Society
    Journal
    Optics Express
    DOI
    10.1364/OE.21.007699
    PubMed ID
    23546151
    ae974a485f413a2113503eed53cd6c53
    10.1364/OE.21.007699
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Physical Science and Engineering (PSE) Division; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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