Accelerating adjoint variable method based photonic optimization with Schur complement domain decomposition

Journal Article · 10 July 2019 · Optics Express

DOI: https://doi.org/10.1364/oe.27.020711 · OSTI ID:1532811

Zhao, Nathan Z. ^[1]; Boutami, Salim ^[2]; Fan, Shanhui ^[1]

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1. Stanford Univ., CA (United States)
2. Stanford Univ., CA (United States); Université Grenoble Alpes, CEA, LETI, Grenoble (France)

Adjoint variable method in combination with gradient descent optimization has been widely used for the inverse design of nanophotonic devices. In many of such optimizations, the design region is only a small fraction of the total computational domain. Here we show that the adjoint variable method can be combined with the Schur complement domain decomposition method. With this combination, in each optimization step, the simulation only involves the degrees of freedom that are inside the design region. Our approach should significantly improve the computational efficiency of adjoint variable method based optimization of photonic structures.

• Research Organization: Energy Frontier Research Centers (EFRC) (United States). Photonics at Thermodynamic Limits (PTL); Stanford Univ., CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC); US Air Force Office of Scientific Research (AFOSR)
• Grant/Contract Number: SC0019140; FA9550-17-1-0002
• OSTI ID: 1532811
• Alternate ID(s): OSTI ID: 1613131
• Journal Information: Optics Express, Vol. 27, Issue 15; ISSN 1094-4087
• Publisher: Optical Society of America (OSA)Copyright Statement
• Country of Publication: United States
• Language: English