Journal
OPTICS EXPRESS
Volume 17, Issue 3, Pages 1308-1320Publisher
OPTICAL SOC AMER
DOI: 10.1364/OE.17.001308
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Funding
- National Natural Science Foundation of China [90605001, 10702006, 10832002]
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In transformation optics, the space transformation is viewed as the deformation of a material. The permittivity and permeability tensors in the transformed space are found to correlate with the deformation field of the material. By solving the Laplace's equation, which describes how the material will deform during a transformation, we can design electromagnetic cloaks with arbitrary shapes if the boundary conditions of the cloak are considered. As examples, the material parameters of the spherical and elliptical cylindrical cloaks are derived based on the analytical solutions of the Laplace's equation. For cloaks with irregular shapes, the material parameters of the transformation medium are determined numerically by solving the Laplace's equation. Full-wave simulations based on the Maxwell's equations validate the designed cloaks. The proposed method can be easily extended to design other transformation materials for electromagnetic and acoustic wave phenomena. (C) 2009 Optical Society of America
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