Department of Physics, Princeton University, Princeton, NJ 08544, USA.
Proc Natl Acad Sci U S A. 2009 Dec 8;106(49):20658-63. doi: 10.1073/pnas.0907744106. Epub 2009 Nov 16.
We present designs of 2D, isotropic, disordered, photonic materials of arbitrary size with complete band gaps blocking all directions and polarizations. The designs with the largest band gaps are obtained by a constrained optimization method that starts from a hyperuniform disordered point pattern, an array of points whose number variance within a spherical sampling window grows more slowly than the volume. We argue that hyperuniformity, combined with uniform local topology and short-range geometric order, can explain how complete photonic band gaps are possible without long-range translational order. We note the ramifications for electronic and phononic band gaps in disordered materials.
我们提出了二维各向同性无序光子材料的设计方案，这些材料具有任意尺寸的完全带隙，可以阻挡所有方向和极化的光。通过一种约束优化方法，从超均匀无序点模式开始，得到了具有最大带隙的设计方案，该方法是在球形采样窗口内点的数量方差随体积增长得更慢的点阵列。我们认为，超均匀性结合均匀的局部拓扑和短程几何有序，可以解释为什么在没有长程平移有序的情况下，完全的光子带隙是可能的。我们注意到这对无序材料中的电子和声子带隙的影响。
