Sieber P E, Werner D H
Opt Express. 2014 Dec 29;22(26):32371-83. doi: 10.1364/OE.22.032371.
In this work a new technique for synthesizing metamaterials using Bézier surfaces is introduced. First, the computational efficiency for the optimization of a reconfigurable Bézier quarter-wave plate metasurface is compared to the popular technique of optimizing pixelized surfaces via a binary Genetic Algorithm (GA). For the presented design methodology, a real valued optimization technique is employed which is based on the Covariance Matrix Adaptation Evolutionary Strategy (CMA-ES). When compared to the GA, the optimizations of Bézier surfaces using CMA-ES are shown to consistently arrive at better solutions with an order of magnitude reduction in the required number of function evaluations. Additionally, more examples of Bézier metasurfaces are presented in the form of broadband quarter-wave and half-wave plate designs operating at optical wavelengths, subsequently exhibiting bandwidths which outperform metasurface designs found in the current literature.
在这项工作中，介绍了一种使用贝塞尔曲面合成超材料的新技术。首先，将用于优化可重构贝塞尔四分之一波片超表面的计算效率与通过二进制遗传算法（GA）优化像素化表面的流行技术进行了比较。对于所提出的设计方法，采用了一种基于协方差矩阵自适应进化策略（CMA-ES）的实值优化技术。与GA相比，使用CMA-ES对贝塞尔曲面进行优化时，结果表明能够始终获得更好的解决方案，所需的函数评估次数减少了一个数量级。此外，还以工作在光波长的宽带四分之一波片和半波片设计的形式给出了更多贝塞尔超表面的示例，随后展示出其带宽优于当前文献中发现的超表面设计。
