title: Approximation approach of designing practical cloaks with arbitrary shapes.
abstract: The approach of designing cloaks with arbitrary shapes was investigated. The coordinate transformation was considered as a homeomorphous topological mapping and the related geometrical description was proposed by introducing position surfaces and tracing lines. Then an approximation approach was presented, which considers a close shape as a polyhedron and performs the spatial compression in a general method. As an example of this approach, we deduced the material parameter equations for two-dimensional polygon cloaks and confirmed the results through numerical simulations. Our approach opens up possibilities of designing practical cloaks with arbitrary shapes through numerical or/and semi-analytical methods.
authors.affiliation: The College of Science, Air Force University of Engineering, Xi'an 710051, People's Republic of China. mahuar@163.com
authors.forename: Hua
authors.initials: H
authors.lastname: Ma
authors.forename: Shaobo
authors.initials: S
authors.lastname: Qu
authors.forename: Zhuo
authors.initials: Z
authors.lastname: Xu
authors.forename: Jiafu
authors.initials: J
authors.lastname: Wang
mesh_terms: D000465:Algorithms; D016880:Anisotropy; D003196:Computer Graphics; D003198:Computer Simulation; D004867:Equipment Design; D015233:Models, Statistical; D008962:Models, Theoretical; D055095:Optics and Photonics; D011827:Radiation