标题： 拓扑优化的双极化狄拉克锥 显示英文标题

标题： Topology-optimized Dual-Polarization Dirac Cones

摘要： 我们应用一种大规模计算技术，称为拓扑优化，用于光子狄拉克锥的逆向设计。 特别是，我们报告了多种可实现在简单各向同性电介质材料中的光子晶体几何结构，这些结构表现出双极化和双波长的狄拉克锥。 通过设计不同对称类型的光子晶体，例如具有四重和六重旋转对称性的光子晶体，它们在布里渊区的不同点具有狄拉克锥，从而展示了该技术的灵活性。 所展示及相关优化技术可能为带结构工程以及在周期性介质中操控光的传播开辟新途径，可能应用于奇特的光学现象，如有效零折射率介质和拓扑光子学。 显示英文摘要

摘要： We apply a large-scale computational technique, known as topology optimization, to the inverse design of photonic Dirac cones. In particular, we report on a variety of photonic crystal geometries, realizable in simple isotropic dielectric materials, which exhibit dual-polarization and dual-wavelength Dirac cones. We demonstrate the flexibility of this technique by designing photonic crystals of different symmetry types, such as ones with four-fold and six-fold rotational symmetry, which possess Dirac cones at different points within the Brillouin zone. The demonstrated and related optimization techniques could open new avenues to band-structure engineering and manipulating the propagation of light in periodic media, with possible applications in exotic optical phenomena such as effective zero-index media and topological photonics.