Level set-based topology optimization for electromagnetic systems

Hokyung Shim, Vinh Thuy Tran Ho, Semyung Wang, Daniel A. Tortorelli

Research output: Contribution to journalArticlepeer-review


This research presents a level set-based topology optimization for electromagnetic problems dealing with geometrical shape derivatives and topological design. The shape derivative is computed by an adjoint variable method to avoid numerous sensitivity evaluations. A level set function interpolated into a fixed initial domain is evolved by using the HamiltonJacobi equation. The moving free boundaries (dynamic interfaces) represented in the level set model determine the optimal shape via the topological changes. In order to improve efficiency of level set evolution, a radial basis function (RBF) is introduced. The optimization technique is illustrated with 2-D example captured from 3-D level set configuration and the resulting optimum shape is compared to conventional topology optimization.

Original languageEnglish (US)
Article number4787454
Pages (from-to)1582-1585
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number3
StatePublished - Mar 2009


  • Gradient-based optimization
  • Level set (LS) method
  • Radial basis function
  • Shape derivative
  • Topology optimization

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


Dive into the research topics of 'Level set-based topology optimization for electromagnetic systems'. Together they form a unique fingerprint.

Cite this