Open AccessApproximation approach of designing practical cloaks with arbitrary shapes
Author(s) -
Hua Ma,
Shaobo Qu,
Zhuo Xu,
Jiafu Wang
Publication year - 2008
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.16.015449
Subject(s) - polygon (computer graphics) , polyhedron , position (finance) , ray tracing (physics) , transformation (genetics) , coordinate system , computer science , transformation optics , optics , physics , geometry , algorithm , topology (electrical circuits) , mathematics , metamaterial , computer vision , telecommunications , biochemistry , chemistry , finance , frame (networking) , economics , gene , combinatorics
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.