scholarly journals Band structures of three-dimensional photonic crystals consisting of dielectric spheres: a plane-wave approach

2005 ◽  
Vol 54 (7) ◽  
pp. 3194
Author(s):  
Dong Hui-Yuan ◽  
Liu Mei ◽  
Wu Zong-Han ◽  
Wang Jing ◽  
Wang Zhen-Lin
2002 ◽  
Vol 66 (7) ◽  
Author(s):  
S. Yano ◽  
Y. Segawa ◽  
J. S. Bae ◽  
K. Mizuno ◽  
S. Yamaguchi ◽  
...  

2020 ◽  
Vol 83 (2) ◽  
Author(s):  
Tsung-Ming Huang ◽  
Tiexiang Li ◽  
Jia-Wei Lin ◽  
Wen-Wei Lin ◽  
Heng Tian

2021 ◽  
Vol 9 ◽  
Author(s):  
Boyang Xie ◽  
Hui Liu ◽  
Haonan Wang ◽  
Hua Cheng ◽  
Jianguo Tian ◽  
...  

In the past few years, the concept of topological matter has inspired considerable research in broad areas of physics. In particular, photonic artificial microstructures like photonic crystals and metamaterials provide a unique platform to investigate topologically non-trivial physics in spin-1 electromagnetic fields. Three-dimensional (3D) topological semimetal band structures, which carry non-trivial topological charges, are fundamental to 3D topological physics. Here, we review recent progress in understanding 3D photonic topological semimetal phases and various approaches for realizing them, especially with photonic crystals or metamaterials. We review topological gapless band structures and topological surface states aroused from the non-trivial bulk topology. Weyl points, 3D Dirac points, nodal lines, and nodal surfaces of different types are discussed. We also demonstrate their application in coupling spin-polarized electromagnetic waves, anomalous reflection, vortex beams generation, bulk transport, and non-Hermitian effects.


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