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Inverse design in photonics by topology optimization: tutorial
Journal of the Optical Society of America B ( IF 1.9 ) Pub Date : 2021-01-22 , DOI: 10.1364/josab.406048
Rasmus E. Christiansen , Ole Sigmund

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.

中文翻译:

通过拓扑优化在光子学中进行逆向设计:教程

用于纳米光子系统逆设计的拓扑优化(TopOpt)方法最近变得非常流行,并以各种形式和名称出现。这些方法包括基于梯度和非梯度的算法,结合了或多或少的系统方法来提高收敛性,解决方案的离散性和制造约束条件的满意度。我们在这里为TopOpt提供系统而有效的纳米光子结构设计教程。该实施基于最近30年来TopOpt开发的用于结构优化的高级系统方法。本教程提供了一个逐步指南,以圆柱金属设计问题为例,得出了构成TopOpt方法基础的连续约束优化问题。它演示了在设计过程中应用大量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物理实现的设计。应用示例还包括光解复用器。
更新日期:2021-02-02
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