Angle-resolved reflection spectra of Dirac cones in triangular-lattice photonic crystal slabs

The dispersion relation and the angle-resolved reflection spectra of triangular-lattice photonic crystal slabs of the C_6v symmetry were examined by the finite element method. The Dirac-cone dispersion relation on the Γ point of the reciprocal space was confirmed. The reflection spectra showed unique selection rules that agreed with the analytical calculation by the k · p perturbation theory. The distortion of the liner dispersion relation of the Dirac cones due to diffraction loss was also reproduced well by the numerical calculation, while we found distortion-free Dirac cones materialized with E₂-symmetric modes.