A level-set procedure for the design of electromagnetic metamaterials.
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.
Zhou
Shiwei
S
School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW 2006, Australia.
Li
Wei
W
Sun
Guangyong
G
Li
Qing
Q
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
D008670:Metals