dual lattice
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2021 ◽  
Vol 5 (2) ◽  
Author(s):  
Wen-Hsien Li ◽  
Chi-Hung Lee ◽  
Tsu-Yin Ling ◽  
Ma-Hsuan Ma ◽  
Pai-Chun Wei ◽  
...  

Photonics ◽  
2020 ◽  
Vol 7 (2) ◽  
pp. 27
Author(s):  
Safaa Hassan ◽  
Yan Jiang ◽  
Khadijah Alnasser ◽  
Noah Hurley ◽  
Hualiang Zhang ◽  
...  

For the first time, we are able to generate over 1000 diffraction spots from a graded photonic super-crystal with a unit super-cell size of 12a × 12a where a is the lattice constant and hole radii are gradually changed in dual directions. The diffraction pattern from the graded photonic super-crystal reveals unique diffraction properties. The first order diffractions of (±1,0) or (0,±1) disappear. Fractional diffraction orders are observed in the diffraction pattern inside a square with vertices of (1,1), (1,−1), (−1,−1) and (−1,−1). The fractional diffraction can be understood from lattices with a period of a. However, a dual-lattice model is considered in order to explain higher-order diffractions. E-field intensity simulations show a coupling and re-distribution among fractional orders of Bloch waves. There are a total of 12 × 12 spots in E-field intensity in the unit supercell corresponding to 12 × 12 fractional diffraction orders in the diffraction pattern and 12 × 12 fractional orders of momentum in the first Brillouin zone in k-space.


2019 ◽  
Vol 115 (12) ◽  
pp. 123902
Author(s):  
Xiao Xu ◽  
Lin Xie ◽  
Qing Lou ◽  
Mingkai He ◽  
BinBin Jiang ◽  
...  

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