| Abstract |
Dr. Chih-Wei Chang et al. published “Optical Mobius Symmetry in Metamaterials” at PRL (Phys. Rev. Lett. 105, 235501 (2010)). In the report putting two SRRs together and incident a light will have symmetry mode (same direction magnetic field) and anti-symmetry mode (opposite direction magnetic field). Comparing with each other’s energy will derive the positive and negative interaction. It will lead that when putting three SRRs together, the eigenvalue will different between positive or negative interaction. Therefore, this article is going to study 2D crystal resonators, which using tight-binding method to calculate the frequency spectrum (frequency and K space) to observe the property of band structure. In this article, we measured the 2D tetragonal lattice, triangular lattice and honeycomb lattice. We measure that when the interactions, the tetragonal and honeycomb lattice’s nearest-neighbor’s, is changing sign. The band with same eigenstate will switch each other. There will be completed forbidden gap when honeycomb lattice with positive interaction at A-site, and positive or negative interaction between nearest-neighbor resonators. Following the above case, we can create an edge state along the interface of two materials with opposite nearest-neighbor coupling. |
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