2011/10/25 by Oliver Paul, Yaroslav Urzhumov, Paul, Oliver +8 · 1 voice
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Antenna and Metasurface Technologies #Boundary (topology) #Cloak #Computer graphics (images) #Computer science #Cross section (physics) #Electromagnetic Scattering and Analysis #FOS: Physical sciences #Face (sociological concept) #Geometry #Invisibility #Mathematical analysis #Mathematics #Metamaterial #Metamaterials and Metasurfaces Applications #Optics #Optics (physics.optics) #Physics #Planar #Quantum mechanics #Scattering #Transformation optics #physics.optics
paper · pdf · doi:10.48550/arxiv.1110.5604
18 pages, 10 figures
arxiv created 2011/10/25 · openalex publication_date 2011/10/25 · arxiv updated 2011/10/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Transformation optics (TO) is a powerful tool for the design of artiffcial materials with unprecedented optical properties. Here, we propose the approximation of TO structures of arbitrary shape by faceting, in which curved surfaces are approximated by at metamaterial layers that can be implemented by standard fabrication and stacking techniques. We illustrate the approximation approach for the specific example of a cylindrical invisibility cloak. First, we introduce a numerical method for the design of cloaks with arbitrary boundary shapes, and apply it to faceted shapes. Subsequently, we reduce the complexity of the metamaterials needed to implement the perfect faceted cloak by introducing several approximations, whose validity is quantified by an investigation of the scattering cross section.