title: A level-set procedure for the design of electromagnetic metamaterials.
abstract: Achieving negative permittivity and negative permeability signifies a key topic of research in the design of metamaterials. This paper introduces a level-set based topology optimization method, in which the interface between the vacuum and metal phases is implicitly expressed by the zero-level contour of a higher dimensional level-set function. Following a sensitivity analysis, the optimization maximizes the objective based on the normal direction of the level-set function and induced current flow, thereby generating the desirable patterns of current flow on metal surface. As a benchmark example, the U-shaped structure and its variations are obtained from the level-set topology optimization. Numerical examples demonstrate that both negative permittivity and negative permeability can be attained.
authors.affiliation: School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW 2006, Australia.
authors.forename: Shiwei
authors.initials: S
authors.lastname: Zhou
authors.forename: Wei
authors.initials: W
authors.lastname: Li
authors.forename: Guangyong
authors.initials: G
authors.lastname: Sun
authors.forename: Qing
authors.initials: Q
authors.lastname: Li
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004574:Electromagnetic Fields; D055590:Electromagnetic Phenomena; D004867:Equipment Design; D008422:Materials Testing; D008670:Metals / Q000737:chemistry; D015233:Models, Statistical; D008962:Models, Theoretical; D055095:Optics and Photonics; D010539:Permeability
chemical_list: D008670:Metals