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

Optics Express, Vol. 21, Issue 6, pp. 7699-7711 (2013)

http://dx.doi.org/10.1364/OE.21.007699

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### 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 OSA

**OCIS Codes**

(260.2030) Physical optics : Dispersion

(160.3918) Materials : Metamaterials

(160.5298) Materials : Photonic crystals

**ToC Category:**

Photonic Crystals

**History**

Original Manuscript: January 4, 2013

Manuscript Accepted: March 5, 2013

Published: March 21, 2013

**Citation**

Yan Li, Ying Wu, Xi Chen, and Jun Mei, "Selection rule for Dirac-like points in two-dimensional dielectric photonic crystals," Opt. Express **21**, 7699-7711 (2013)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-6-7699

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