Yang Yi, Wang Guo Ping
Key Laboratory of Acoustic and Photonic Materials and Devices, Ministry of Education and Department of Physics, Wuhan University, Wuhan 430072, China.
Opt Express. 2007 May 14;15(10):5991-6. doi: 10.1364/oe.15.005991.
Photonic quasicrystals (PQs) can produce interesting photonic properties but the lack of periodicity in structures makes exact prediction on their photonic band structures (PBSs) a fundamental challenge currently. Here, we propose a kind of complex two-dimensional photonic crystal (PC) structures constructed with a small portion of different PQs for the purposes of overcoming the difficulty of numerical calculations on the PBSs but maintaining photonic properties of the original PQs owned. Theoretically calculated results on PBSs of the complex PC with a local feature consistent with 12-fold rotational symmetry show that, in the cases of dielectric cylinders in air, air-holes in a dielectric, and metal cylinders in air, respectively, the complex PC can indeed produce similar photonic properties of the original 12-fold PQ such as uniform or isotropic PBGs under much lower dielectric contrast etc. The complex PCs can be constructed with the local parts of n-fold symmetric PQs and should provide a way for creating novel photonic functional materials.
光子准晶体（PQs）能产生有趣的光子特性，但结构中缺乏周期性使得准确预测其光子带结构（PBSs）成为当前一项根本性挑战。在此，我们提出一种由一小部分不同的PQs构建而成的复杂二维光子晶体（PC）结构，目的是克服PBSs数值计算的困难，同时保持原始PQs所具有的光子特性。对具有与十二重旋转对称性一致的局部特征的复杂PC的PBSs进行理论计算的结果表明，分别在空气介质圆柱、介质中的空气孔以及空气中的金属圆柱的情况下，复杂PC确实能在低得多的介电对比度等条件下产生与原始十二重PQ类似的光子特性，如均匀或各向同性的光子带隙等。复杂PC可以用n重对称PQs的局部部分构建，并且应该为创造新型光子功能材料提供一条途径。
