David S, Chelnokov A, Lourtioz J M
Opt Lett. 2000 Jul 15;25(14):1001-3. doi: 10.1364/ol.25.001001.
We present a theoretical study of new two-dimensional photonic crystals based on Archimedean-like tilings. Three structures are considered: a square lattice with a 4-atom unit cell and triangular lattices with 7- and 13-atom unit cells. A 12-fold local rotational symmetry is obtained for the triangular lattices and is approached for the square lattice. Wide photonic bandgaps can then be achieved, with very weak bandwidth dependence (~1%) on the wave-propagation direction. The complete bandgap frequency is shown to depend on the atomic bond length and not on the crystal period. This new class of periodic photonic crystals is a simple and attractive alternative to photonic quasi crystals.
我们对基于类阿基米德镶嵌的新型二维光子晶体进行了理论研究。考虑了三种结构：具有4个原子晶胞的正方形晶格以及具有7个和13个原子晶胞的三角形晶格。对于三角形晶格可获得12重局部旋转对称性，而正方形晶格则接近这种对称性。这样就能实现宽光子带隙，且带隙带宽对波传播方向的依赖性非常弱（约1%）。结果表明，完全带隙频率取决于原子键长而非晶体周期。这类新型周期性光子晶体是光子准晶体的一种简单且有吸引力的替代物。
