“…Based on the dimension of the periodicity, they can be classified as one dimensional (1D) grating 2 and two dimensional variation of such structures. A lot of fundamental study on these structures has been conducted, including band structure 3–5 , scattering 6,7 , absorption 8,9 , nonlinear optical effects 10–12 , and so on. The extraordinary features, like guided resonance, light bound states in the continuum (BICs) 13–15 , and so on, enable these structure to be applied to many optical processes, for example, hollow-core waveguide 16 , high-Q resonators 17 , surface-normal coupler 18 , vertical-cavity surface-emitting lasers 19 , high-NA planar lenses 20 , surface-normal second-harmonic emission 21 , and so on.…”