Inverse design in photonics by topology optimization: tutorial
Abstract
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.
- Publication:
-
Journal of the Optical Society of America B Optical Physics
- Pub Date:
- February 2021
- DOI:
- 10.1364/JOSAB.406048
- arXiv:
- arXiv:2008.11816
- Bibcode:
- 2021JOSAB..38..496C
- Keywords:
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- Physics - Optics;
- Physics - Computational Physics
- E-Print:
- 8 figures, 19 pages