We recently reported an isotropic linear dispersion relation of a square-lattice photonic crystal slab fabricated in an SOI wafer. The linear dispersion of the square lattice generally suffers from the distortion due to a diffraction loss, which may reduce its performance in expected applications. We present a method to eliminate the diffraction loss and avoid the distortion by using triangular-lattice photonic crystal slabs with the six-fold rotational symmetry. The theoretical results on the dispersion and the angle-resolved reflection spectra obtained by the k-p perturbation theory and the finite element method will be compared with available experimental data.
We recently reported the fabrication of mid-infrared SOI photonic crystal slabs and confirmed the creation of the Dirac cone by the angle-resolved reflection spectroscopy. We found the Fano-like line shape, which made it difficult to tell the accurate eigenmode frequencies from the reflection peaks. In this presentation, we focus on the selection rule and the line shape of the reflection peaks. The phase shift of the transmitted and reflected waves will also be examined to clarify the correspondence between the eigenmode frequency and the line shape. The results will be compared with available experimental data.
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