Design Method for Electromagnetic Cloak with Arbitrary Shapes Based on Laplace's Equation
arXiv:0807.3837 · doi:10.1364/OE.17.001308
Abstract
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.
13 pages, 10 figures
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- Constraint condition on transformed relation for generalized acoustics
- Moulding the flow of surface plasmons using conformal and quasiconformal mapping
- Determining the full transformation relations in the transformation method
- Exposing and extending the interior waves field by transformation materials
- Theory and experiment of isotropic electromagnetic beam bender made of dielectric materials