论文标题
通过拓扑优化的光子学中的逆设计：教程
Inverse design in photonics by topology optimization: tutorial
论文作者
论文摘要
纳米光系统逆设计的拓扑优化方法最近变得非常流行，并以各种形式和各种名称呈现。方法包括基于梯度和非级别的算法，结合了或多或少的系统方法来改善收敛性，解决方案的离散性和制造约束的满意度。我们在这里提供了通过拓扑优化（TOPOPT）进行系统有效设计的纳米光子结构设计的教程。该实现基于在过去三十年中在Topopt中开发的高级和系统的方法进行结构优化。该教程提供了一个逐步指南，用于通过圆柱金属设计问题作为示例，以导出构成拓扑优化方法基础的连续约束优化问题。它证明了在设计过程中应用许多辅助工具的效果和必要性，以确保良好的数值建模实践并实现可实现的设计。申请示例还包括光学解弹器。
Topology optimization methods for inverse design of nano-photonic systems have recently become extremely popular and are presented in various forms and under various names. Approaches comprise gradient and non-gradient based algorithms combined with more or less systematic ways to improve convergence, discreteness of solutions and satisfaction of manufacturing constraints. We here provide a tutorial for the systematic and efficient design of nano-photonic structures by Topology Optimization (TopOpt). The implementation is based on the advanced and systematic approaches developed in TopOpt for structural optimization during the last three decades. The tutorial presents a step-by-step guide for deriving the continuous constrained optimization problem forming the foundation of the Topology Optimization method, using a cylindrical metalens design problem as an example. It demonstrates the effect and necessity of applying a number of auxiliary tools in the design process in order to ensure good numerical modelling practice and to achieve physically realisable designs. Application examples also include an optical demultiplexer.
