Open AccessSelection rule for Dirac-like points in two-dimensional dielectric photonic crystals
Author(s) -
Yan Li,
Ying Wu,
Xi Chen,
Jun Mei
Publication year - 2013
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.21.007699
Subject(s) - photonic crystal , physics , degenerate energy levels , polarization (electrochemistry) , dielectric , bloch wave , quantum mechanics , condensed matter physics , optics , chemistry
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.