Invisibility cloak with a twin cavity
Optics Express, Vol. 17, Issue 10, pp. 8614-8620 (2009)
http://dx.doi.org/10.1364/OE.17.008614
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Abstract
We study an invisibility cloak with a twin cavity, simulated by a plane algebraic curve- hippopede. The cloaked region, which looks like eight for some sets of geometric parameters, is expanded from one single point. Using a geometric transformation approach, we demonstrate that the material parameters of cloaking layer can be exactly determined. Numerical simulations show that the incoming rays pass in and out the cloaking region twice, and return to their original trajectory outside the curved cloak. A notable feature is that the cloaking region has two hollow regions in which two objects can be hidden at one time and that they could not perceive each other.
© 2009 Optical Society of America
OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(260.2110) Physical optics : Electromagnetic optics
(160.2710) Materials : Inhomogeneous optical media
(230.3205) Optical devices : Invisibility cloaks
ToC Category:
Physical Optics
History
Original Manuscript: March 27, 2009
Revised Manuscript: April 26, 2009
Manuscript Accepted: May 1, 2009
Published: May 6, 2009
Citation
Tungyang Chen and Chung-Ning Weng, "Invisibility cloak with a twin cavity," Opt. Express 17, 8614-8620 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-10-8614
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References
- J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science 312, 1780-1782 (2006). [CrossRef] [PubMed]
- U. Leonhardt, "Optical conformal mapping," Science 312, 1777-1780 (2006). [CrossRef] [PubMed]
- E. J. Post, Formal Structure of Electromagnetics: General Covariance and Electromagnetics (North-Holland, Amsterdam, 1962).
- G. W. Milton, M. Briane, and J. R. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New J. Phys. 8, 248 (2006). [CrossRef]
- G. W. Milton and J. R. Willis, "On modifications of Newton’s second law and linear continuum elastodynamics," Proc. R. Soc. London, Ser. A 463, 855-880 (2007). [CrossRef]
- D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science 314, 977-980 (2006). [CrossRef] [PubMed]
- A. Greenleaf, Y. Kurylev, M. Lassas and G. Uhlmann, "Electromagnetic wormholes and virtual magnetic monopoles from metamaterials," Phys. Rev. Lett. 99, 183901 (2007). [CrossRef] [PubMed]
- A. Greenleaf, M. Lassas and G. Uhlmann, "Anisotropic conductivities that cannot be detected by EIT," Physiol. Meas. 24, 413-419 (2003). [CrossRef] [PubMed]
- S. A. Cummer and D. Schurig, "One path to acoustic cloaking," New J. Phys. 9, 45 (2007). [CrossRef]
- H. Chen and C. T. Chan, "Acoustic cloaking in three dimensions using acoustic metamaterials," Appl. Phys. Lett. 91, 183518 (2007). [CrossRef]
- A. N. Norris, "Acoustic cloaking theory," Proc. R. Soc. London, Ser. A 464, 2411-2434 (2008). [CrossRef]
- J. Zhang, and J. Huangfu, Y. Luo, H. Chen, J. A. Kong, and B. I. Wu, "Cloak for multilayered and gradually changing media," Phys. Rev. B 77, 035116 (2008). [CrossRef]
- T. Chen, C. N. Weng and J. S. Chen, "Cloak for curvilinearly anisotropic media in conduction," Appl. Phys. Lett. 93, 114103 (2008). [CrossRef]
- H. Chen and C. T. Chan, "Transformation media that rotate electromagnetic fields," Appl. Phys. Lett. 90, 241105 (2007). [CrossRef]
- R. V. Kohn and M. Vogelius, "Identification of an unknown conductivity by means of measurements at the boundary," in Inverse problems, D.W. McLaughlin, ed., (American Mathematical Society, Providence, RI, 1984), pp. 113-123.
- N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, "Optical and dielectric properties of partially resonant composites," Phys. Rev. B 49, 8479-8482 (1994). [CrossRef]
- A. Nicolet, J. F. Remacle, B. Meys, A. Genon, and W. Legros, "Transformation methods in computational electromagnetics," J. Appl. Phys. 75, 6036-6038 (1994). [CrossRef]
- J. F. Remacle, A. Nicolet, A. Genon, and W. Legros, "Comparison of boundary elements and transformed finite elements for open magnetic problems," in Boundary Element Method XVI, C. A. Brebbia, ed., (Computational Mechanics Publications, Southhampton, 1994), pp. 109-116.
- A. J. Ward and J. B. Pendry, "Refraction and geometry in Maxwell's equations," J. Mod. Opt. 43, 773-793. (1996). [CrossRef]
- H. Chen, X. Luo, and H. Ma, "The anti-cloak," Opt. Express 16, 14603-14608 (2008). [CrossRef] [PubMed]
- J. Li and J. B. Pendry, "Hiding under the carpet: A new strategy for cloaking," Phys. Rev. Lett. 101, 203901 (2008). [CrossRef] [PubMed]
- Y. Lai, H. Chen, Z. Q. Zhang, and C. T. Chan, "Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell," Phys. Rev. Lett. 102, 093901 (2009). [CrossRef] [PubMed]
- U. Leonhardt and T.G. Philbin, "Transformation optics and the geometry of Light," arXiv: 0805.4778; Prog. Optics (to appear).
- G. X. Yu, W. X. Jiang, and T. J. Cui, "Invisible slab cloaks via embedded optical transformation," Appl. Phys. Lett. 94, 041904 (2009). [CrossRef]
- W. X. Jiang, T. J. Cui, G. X. Yu, X. Q. Lin, Q. Cheng and J. Y. Chin, "Arbitrarily elliptical-cylindrical invisible cloaking," J. Phys. D: Appl. Phys. 41, 085504 (2008). [CrossRef]
- D. H. Kwon and D. H. Werner, "Two-dimensional eccentric elliptic electromagnetic cloaks," Appl. Phys. Lett. 92, 013505 (2008). [CrossRef]
- M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, "Design of electromagnetic cloaks and concentrators using form-invariant coordinate transfromations of Maxwell’s equations," Photon. Nanostruct. Fundam. Appl. 6, 87-95 (2008). [CrossRef]
- Y. You, G. W. Kattawar, and P. Yang, "Invisibility cloaks for toroids," Opt. Express 17, 6591-6599 (2009). [CrossRef] [PubMed]
- Y. You, G. W. Kattawar, P. W. Zhai, and P. Yang, "Invisibility cloaks for irregular particles using coordinate transformations," Opt. Express 16, 6134-6145 (2008). [CrossRef] [PubMed]
- X. Chen, Y. Fu, and N. Yuan, "Invisible cloak design with controlled constitutive parameters and arbitrary shaped boundaries through Helmholtz’s equation," Opt. Express 17, 3581-3586 (2009). [CrossRef] [PubMed]
- J. Hu., X. Zhou and G. Hu, "Design method for electromagnetic cloak with arbitrary shapes based on Laplace’s equation," Opt. Express 17, 1308-1320 (2009). [CrossRef] [PubMed]
- Q. Wu, K. Zhang, F. Y. Meng and L. W. Li, "Material parameters characterization for arbitrary N-sided regular polygonal invisible cloak," J. Phys. D: Appl. Phys. 42, 035408 (2009). [CrossRef]
- J. Zhang, Y. Luo, H. Chen, and B. I. Wu, "Cloak of arbitrary shape," J. Opt. Soc. Am. B 25, 1776-1779 (2008). [CrossRef]
- A. Nicolet, F. Zolla, and S. Guenneau, "Electromagnetic analysis of cylindrical cloaks of an arbitrary cross section," Opt. Lett. 33, 1584-1586 (2008). [CrossRef] [PubMed]
- W. X. Jiang, J. Y. Chin, Z. Li, Q. Cheng, R. Liu, and T. J. Cui, "Analytical design of conformally invisible cloaks for arbitrarily shaped objects," Phys. Rev. E 77, 066607 (2008). [CrossRef]
- C. Li and F. Li, "Two-dimensional electromagnetic cloaks with arbitrary geometries," Opt. Express 16, 13414-13420 (2008). [CrossRef] [PubMed]
- H. Ma, S. Qu, Z. Xu, and J. Wang, "Approximation approach of designing practical cloaks with arbitrary shapes," Opt. Express 16, 15449-15454 (2008). [CrossRef] [PubMed]
- J. D. Lawrence, A Catalog of Special Plane Curves (New York: Dover, 1972).
- G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (New York: McGraw-Hill, 1961).
- A. Nicolet, S. Guenneau and F. Zolla, "Modelling of twisted optical waveguides with edge elements," Eur. Phys. J. Appl. Phys. 28153-157 (2004). [CrossRef]
- U. Leonhardt and T. Tyc, "Broadband invisibility by non-Euclidean cloaking," Science 323, 110 (2009). [CrossRef]
- W. X. Jiang, T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, "Invisibility cloak without singularity," Appl. Phys. Lett. 93, 194102 (2008). [CrossRef]
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