Level Set-Based Topology Optimization for Electromagnetic Systems

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 Hamilton-Jacobi 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.