Affiliations: [a] School of Electronic and Electrical Engineering, Sungkyunkwan University, Suwon 16419, Korea | [b] Department of Electrical Engineering, Kyungpook National University, Daegu 41566, Korea
Correspondence:
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Corresponding author: Il Han Park, (16419) 85753, Laboratory of Applied Electromagnetics, 2066, Seobu-ro, Jangan-gu, Suwon-si, Gyeonggi-do, Korea. Tel.: +82 31 290 7146; Fax: +82 31 290 7942; E-mail: ihpark@skku.ac.kr.
Abstract: This paper proposes a multiple level set method for multi-material shape optimization in an electromagnetic system. This method enables the handling of multi-material interfaces simultaneously. The sign combination of the level set functions is used for identifying the different material regions and their interfaces. The continuum sensitivity formula for the multi-material interfaces is adopted for the velocity field in the multiple level set equations. Numerical examples are tested to show the usefulness of the proposed method.
Keywords: Multiple level set method, continuum shape sensitivity, electromagnetic system, finite element method, shape optimization
