Multiscale optimization for electromagenetic metamaterial based on high contrast homogenization method

Abstract

In this paper, we present a basic study on multiscale optimization for electromagnetic metamaterials using high contrast homogenization method. High contrast homogenization method can evaluate the behavior of waves at resonance, but high contrast homogenization method is not effective for structures that have unconnected matrix materials. In this study, we introduce a geometric constraint such that the matrix materials are connected in order to obtain an optimal structure within the range where the high contrast homogenization method is effective. In numerical examples, we demonstrate the effectiveness of the geometric constraint.