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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 3 — Feb. 2, 2009
  • pp: 1308–1320

Design method for electromagnetic cloak with arbitrary shapes based on Laplace’s equation

Jin Hu, Xiaoming Zhou, and Gengkai Hu  »View Author Affiliations


Optics Express, Vol. 17, Issue 3, pp. 1308-1320 (2009)
http://dx.doi.org/10.1364/OE.17.001308


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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.

© 2009 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(220.2740) Optical design and fabrication : Geometric optical design
(260.1180) Physical optics : Crystal optics
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

History
Original Manuscript: November 20, 2008
Revised Manuscript: January 16, 2009
Manuscript Accepted: January 16, 2009
Published: January 22, 2009

Citation
Jin Hu, Xiaoming Zhou, and Gengkai Hu, "Design method for electromagnetic cloak with arbitrary shapes based on Laplace’s equation," Opt. Express 17, 1308-1320 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-3-1308


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