Study on topology optimization of optical waveguide devices based on function expansion method

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K06009
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Electron device/Electronic equipment
• Research Institution: Muroran Institute of Technology
• Principal Investigator: Tsuji Yasuhide 室蘭工業大学, 工学研究科, 教授 (70285518)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 光導波路デバイス / 自動最適設計 / トポロジー最適化 / 有限要素法 / 関数展開法 / 随伴変数法

Outline of Final Research Achievements

In order to develop high-performance photonic devices, the function-expansion based topology optimization method for three-dimensional photonic devices has been investigated. In order to improve design efficiency, the usefulness of the approximated two-dimensional design is improved by proposing the improved effective index method. By using these structures as initial structures of three-dimensional optimization, the design efficiency is able to be improved. Furthermore, to improve the computational efficiency of slowly varying waveguides, slowly varying envelope approximated finite element method is newly proposed and its usefulness is demonstrated. Topology optimization using semi-vectorial finite difference beam propagation method based on alternative direction implicit method is also proposed and its usefulness is demonstrated through some design examples have been shown. The stability of the full-vectorial finite element beam propagation method is also discussed.

Free Research Field

電子工学