Abstract
The topology optimisation is considered as one of the most promising design methods because of its high design capability. So far, the topology optimisation has been researched mainly for problems in the field of material mechanics and structural mechanics. Our objective is to enhance further the applicability of the topology optimization to design devices related to wave problems. The topology optimisation for wave problem is difficult to be dealt with a standard FEM-based optimisation method since it cannot deal with an open domain exactly. To resolve this issue, we here use the boundary element method (BEM) as a solver, which has the following advantages; (1) Open domains can be dealt with in a exact manner since the numerical solution with the BEM satisfies automatically the radiation condition. (2) Numerical cost for re-meshing is cheap. In this study, we focus on the two-dimensional electromagnetic problems. We propose a method to design material shape and topology of dielectric materials to maximise the intensity of magnetic fields at preset observation points. Through numerical examples, we have confirmed the efficiency of the proposed method.
