Initial structures of function-expansion-based topology optimization for three dimensional optical waveguide devices

関数展開法に基づくトポロジー最適化を用いた3次元光導波路の自動最適設計における初期構造の検討を行っている.トポロジー最適化された2次元光導波路を3次元光導波路に対するトポロジー最適化の初期構造に用いている.本手法を3分岐光導波路の最適設計に適用することで,従来の手法と比べて簡単な最適構造が得られることを確認している.初期構造に与えるグレイ領域の広さと解の収束性についても検討を行っている.To achieve optical waveguides with desired transmission characteristics, we study on initial structures of the function-expansion-based topology optimization for three-dimensional optical waveguide devices. A topology optimized two-dimensional optical waveguide is used as an initial structure of topology optimization for a three-dimensional optical waveguide. The proposed method is applied to optical waveguide branchings, and a simpler optimized structure is obtained. Dependency of optimized structures on width of the gray area in the initial structure is also studied