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

Yan Li; Ying Wu; Xi Chen; Jun Mei

doi:10.1364/OE.21.007699

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

Yan Li, Ying Wu, Xi Chen, Jun Mei

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

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.

Original language	English (US)
Pages (from-to)	7699
Journal	Optics Express
Volume	21
Issue number	6
DOIs	https://doi.org/10.1364/OE.21.007699
State	Published - Mar 21 2013

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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.

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1364/OE.21.007699

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title = "Selection rule for Dirac-like points in two-dimensional dielectric photonic crystals",

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. {\textcopyright} 2013 Optical Society of America.",

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AU - Wu, Ying

AU - Chen, Xi

AU - Mei, Jun

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PY - 2013/3/21

Y1 - 2013/3/21

N2 - 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.

AB - 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.

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

Abstract

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