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Bandgap optimization of 2D photonic crystals

机译：2D光子晶体的带隙优化

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In this paper, a procedure for optimizing two-dimensional (2D) photonic crystals (PhC) is presented. In this procedure, the unit cell of a PhC structure is discretized into small grids and converted into a binary sequence. A direct binary search (DBS) method is then used to search through a terrain of possible solutions in order to find a more optimal one. This process is designed for improving the absolute band gap, opening a new one, for a predefined PBG structure. By applying this procedure on a honeycomb array of dielectric rods in air background, the maximum absolute gap-to-midgap ratio (MAGTMR) is increased to more than twice that of the initial structure. To further prove the validity of this procedure, this procedure is also applied to two best-found hexagonal and square lattice structures. The band gap improvements in these two cases indicate that besides structure type, structure symmetry, fill factor, index contrast, and size, shape and orientation of the constituent objects, there are other unknown factors, which affect the absolute band gap of a photonic crystal as well. The convergence property of this procedure is also discussed in this paper. The idea of this procedure can be applied to find the global optimal solution by using a global optimization algorithm, such as simulated annealing (SA), genetic algorithm (GA).
机译：在本文中，提出了一种用于优化二维（2D）光子晶体（PHC）的过程。在该过程中，PHC结构的单位单元被离散到小网格中并转换成二进制序列。然后使用直接二进制搜索（DBS）方法来搜索可能的解决方案的地形，以便找到更优化的解决方案。该过程设计用于改善预定的PBG结构的绝对带隙，打开新的带隙。通过将该程序应用于空气背景中的介电棒的蜂窝阵列上，最大绝对间隙到中间涂层比（MagTMR）增加到初始结构的两倍多。为了进一步证明该程序的有效性，该程序也适用于两个最有用的六边形和方形格子结构。这两种情况下的带隙改进表明，除了结构类型，结构对称，填充因子，索引对比度和构成物体的尺寸，形状和方向之外，还有其他未知因素，这影响了光子晶体的绝对带隙也是。本文还讨论了该程序的收敛性。可以应用该过程的思想来通过使用全局优化算法，例如模拟退火（SA），遗传算法（GA）来查找全局最优解。

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