[15a-WL2_201-1~9] 3.10 Photonic structures and phenomena

11:30 AM - 11:45 AM JST(2:30 AM - 2:45 AM UTC)

[15a-WL2_201-8] Analysis of band gap and hyperuniformity in two-dimensional photonic quasicrystals

〇Nayuta Takemori¹, Akiji Yamamoto² (1.Osaka Univ., 2.NIMS)

Keywords:

quasicrystal

In this study, we investigate the photonic band gap properties of two-dimensional quasiperiodic tiling based on the Ammann–Beenker, square–triangle, and hexagon–boat–star (HBS) tilings. Air cylinders are placed at the vertices of the prototiles on a dielectric background, and both TE and TM band gaps are calculated using the plane-wave method. Complete photonic band gaps are confirmed in the square–triangle and HBS tilings.Notably, the HBS tiling exhibits the first complete gap reported for a quasiperiodic structure with tenfold rotational symmetry. To further enhance the band gaps, secondary air cylinders are introduced at the centers of star prototiles in the Ammann–Beenker and HBS tilings, increasing the point density. This modification induces a small complete gap in the Ammann–Beenker tiling and significantly enlarges the gap in the HBS tiling. We further discuss the role of hyperuniformity, showing how high point density and low structural complexity promote the formation of photonic band gaps.