Inverse design in photonics by topology optimization: tutorial
Inverse design in photonics by topology optimization: tutorial
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DOI：
10.1364/josab.406048
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发表时间：
2021-02-01
影响因子：
1.9
通讯作者：
Sigmund, Ole
中科院分区：
文献类型：
--
作者：
Christiansen, Rasmus E.;Sigmund, Ole
近年来，用于纳米光子系统逆设计的拓扑优化(TopOpt)方法变得非常流行，并以各种形式和名称出现。方法包括基于梯度和基于非梯度的算法，以及或多或少系统地改进收敛、解的离散性和满足制造约束的方法。在此，我们将为TopOpt系统、高效地设计纳米光子结构提供指导。这一实施是基于TopOpt在过去30年中为结构优化开发的先进和系统的方法。本教程以圆柱形金属透镜设计问题为例，介绍了如何逐步推导构成TopOpt方法基础的连续约束优化问题。论证了在设计过程中应用一些辅助工具，以确保良好的数值模拟实践和实现物理可实现的设计的效果和必要性。应用实例还包括光解复用器。(C)2021年美国光学学会
Topology optimization (TopOpt) 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 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 TopOpt 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 to ensure good numerical modeling practice and to achieve physically realizable designs. Application examples also include an optical demultiplexer. (C) 2021 Optical Society of America