Abstract
This paper proposes a level set-based topology optimization method for the design of negative permeability dielectric metamaterials. Electromagnetic metamaterials are artificial materials with extraordinary physical properties such as a materials with negative refractive index, that is, negative permittivity and permeability. Because the presence of grayscale areas in the optimal configurations affects the performance of metamaterials, a topology optimization method in which a black-and white optimal configurations are obtained is desirable. In this paper, first, the level set-based topology optimization method for the design of dielectric metamaterials is explained. The optimization problem for minimizing the effective permeability dielectric metamaterials and the optimization problem for finding the optimal layout which shows the prescribed effective permeability are then formulated. Finally, several numerical examples are provided to demonstrate the utility and validity of the proposed method.
