Rechtsman Mikael C, Jeong Hyeong-Chai, Chaikin Paul M, Torquato Salvatore, Steinhardt Paul J
Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
Phys Rev Lett. 2008 Aug 15;101(7):073902. doi: 10.1103/PhysRevLett.101.073902. Epub 2008 Aug 13.
A photonic quasicrystal consists of two or more dielectric materials arranged in a quasiperiodic pattern with noncrystallographic symmetry that has a photonic band gap. We use a novel method to find the pattern with the widest TM-polarized gap for two-component materials. Patterns are obtained by computing a finite sum of density waves, assigning regions where the sum exceeds a threshold to a material with one dielectric constant, epsilon1, and all other regions to another, epsilon0. Compared to optimized crystals, optimized quasicrystals have larger gaps at low constrasts epsilon1/epsilon0 and have gaps that are much more isotropic for all contrasts. For high contrasts, optimized hexagonal crystals have the largest gaps.
光子准晶体由两种或更多种介电材料组成，这些材料以具有非晶体学对称性的准周期图案排列，且具有光子带隙。我们使用一种新颖的方法来寻找双组分材料中具有最宽TM偏振带隙的图案。通过计算密度波的有限和来获得图案，将总和超过阈值的区域分配给具有一个介电常数ε1的材料，而将所有其他区域分配给另一种介电常数ε0的材料。与优化后的晶体相比，优化后的准晶体在低对比度ε1/ε0时具有更大的带隙，并且对于所有对比度，其带隙更加各向同性。对于高对比度，优化后的六角形晶体具有最大的带隙。
