Abstract
Deterministic interface states can be realized in square lattice photonic crystals (PCs) under certain parameters. Using the same parameters, straight lined and circular interface states were constructed by arranging two kinds of sunflower-type PCs in the upper–lower and inner–outer combination structures, respectively. With the condition to generate interface states satisfied, straight lined interface states were proved in the upper–lower combination structures. Sunflower-type PCs do not have translational symmetry in a rectangular coordinate system but they have rotational symmetry, which can be approximately regarded as translational symmetry in polar coordinate system. The transmission spectrum confirms that circular interface states can be realized in sunflower-type PCs by applying parameters consistent with straight lined ones in a rectangular system. By generating circular interface states in a two-dimension system, more applications concerning interface states can be developed.
Published Version
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