Abstract

We propose, design, and implement a two-dimensional dc carpet cloak for steady electric field using the transformation optics (TO) method. Based on the circuit theory, we introduce a resistor network to mimic the resulting anisotropic conducting medium. The experimental prototype is fabricated using metal film resistors, and the measured results agree perfectly well with theoretical predictions. This study gives the first experimental verification of a dc carpet cloak, which expands the application of TO theory, and has potential applications in related areas.

© 2012 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. S. Dolin, “On a possibility of comparing three-dimensional electromagnetic systems with inhomogeneous filling,” Izv. Vyssh. Uchebn. Zaved. Radiofiz.4, 964–967(1961).
  2. E. G. Post, Formal Structure of Electromagnetics; General Covariance and Electromagnetics (Interscience, New York, 1962).
  3. J. B. Pendry, D. Shurig, and D. R. Smith, “Controlling electromagnetic fields,” Science312, 1780–1782 (2006).
    [CrossRef] [PubMed]
  4. U. Leonhardt, “Optical conformal mapping,” Science312, 1777–1780 (2006).
    [CrossRef] [PubMed]
  5. 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,” Science314, 977–980 (2006).
    [CrossRef] [PubMed]
  6. G. W. Milton and N.-A. P. Nicorovici, “On cloaking for elasticity and physical equations with a transformation invariant form,” New J. Phys.8, 248 (2006).
    [CrossRef]
  7. U. Leonhardt and T. G. Philbin, “Transformation optics and the geometry of light,” Prog. Opt.53, 69–152 (2009).
    [CrossRef]
  8. Z. L. Mei, J. Bai, and T. J. Cui, “Illusion devices with quasi-conformal mapping,” J. Electromagn. Waves Appl.24, 2561–2563 (2010).
    [CrossRef]
  9. Y. Lai, H. Chen, Z. 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]
  10. W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Illusion media: Generating virtual objects using realizable metamaterials,” Appl. Phys. Lett.96, 121910 (2010).
    [CrossRef]
  11. C. Li, X. Meng, X. Liu, F. Li, G. Fang, H. Chen, and C. T. Chan, “Experimental realization of a circuit-based broadband illusion-optics analogue,” Phys. Rev. Lett.105, 233906 (2010).
    [CrossRef]
  12. W. Zhu, I. Shadrivov, D. Powell, and Y. Kivshar, “Hiding in the corner,” Opt. Express19, 20827–20832 (2011).
    [CrossRef] [PubMed]
  13. B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisible cloak for visible light,” Phys. Rev. Lett.106, 033901 (2011).
    [CrossRef] [PubMed]
  14. X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun.2, 176 (2011).
    [CrossRef] [PubMed]
  15. J. B. Pendry and J. Li, “An acoustic metafluid: realizing a broadband acoustic cloak,” New J. Phys.10, 115032 (2008).
    [CrossRef]
  16. S. Zhang, C. Xia, and N. Fang, “Broadband acoustic cloak for ultrasound waves,” Phys. Rev. Lett.106, 024301 (2011).
    [CrossRef] [PubMed]
  17. W. Zhu, C. Ding, and X. Zhao, “A numerical method for designing acoustic cloak with homogeneous metamaterials,” Appl. Phys. Lett.97, 131902 (2010).
    [CrossRef]
  18. S. Guenneau, C. Amra, and D. Veynante, “Transformation thermodynamics: cloaking and concentrating heat flux,” Opt. Express20, 8207–8218 (2012).
    [CrossRef] [PubMed]
  19. S. Narayana and Y. Sato, “Heat flux manipulation with engineered thermal materials,” Phys. Rev. Lett.108, 214303 (2012).
    [CrossRef] [PubMed]
  20. P. A. Huidobro, M. L. Nesterov, L. Martin-Moreno, and F. J. Garcia-Vidal, “Transformation optics for plasmonics,” Nano Lett.10, 1985–1990 (2010).
    [CrossRef] [PubMed]
  21. W. Zhu, I. D. Rukhlenko, and M. Premaratne, “Linear transformation optics for plasmonics,” J. Opt. Soc. Am. B29, 2659–2664 (2012).
    [CrossRef]
  22. M. W. McCall, A. Favaro, P. Kinsler, and A. Boardman, “A spacetime cloak, or a history editor,” J. Opt.13, 024003 (2011).
    [CrossRef]
  23. M. Fridman, A. Farsi, Y. Okawachi, and A. L. Gaeta, “Demonstration of temporal cloaking,” Nature481, 62–65 (2012).
    [CrossRef] [PubMed]
  24. A. Sanchez, C. Navau, J. Prat-Camps, and D. Chen, “Antimagnets: controlling magnetic fields with superconductor-metamaterial hybrids,” New J. Phys.13, 093034 (2011).
    [CrossRef]
  25. F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science335, 1466–1468 (2012).
    [CrossRef] [PubMed]
  26. S. Narayana and Y. Sato, “DC magnetic cloak,” Adv. Mater.24, 71–74 (2012).
    [CrossRef]
  27. J. Y. Li, Y. Gao, and J. P. Huang, “A bifunctional cloak using transformation media,” J. Appl. Phys.108, 074504 (2010).
    [CrossRef]
  28. F. Yang, Z. L. Mei, T. Y. Jin, and T. J. Cui, “DC electric invisibility cloak,” Phys. Rev. Lett.109, 053902 (2012).
    [CrossRef] [PubMed]
  29. M. Liu, Z. L. Mei, X. Ma, and T. J. Cui, “Dc illusion and its experimental verification,” Appl. Phys. Lett.101, 051905 (2012).
    [CrossRef]
  30. A. Greenleaf, M. Lassas, and G. Uhlmann, “Anisotropic conductivities that cannot be detected by EIT,” Physiol. Meas.24, 413–419 (2003).
    [CrossRef] [PubMed]
  31. R. V. Kohn, H. Shen, M. S. Vogelius, and M. I. Weinstein, “Cloaking via change of variables in electric impedance tomography,” Inverse Probl.24, 015016 (2008).
    [CrossRef]
  32. J. Li and J. B. Pendry, “Hiding under the carpet: A new strategy for cloaking,” Phys. Rev. Lett.101, 203901 (2008).
    [CrossRef] [PubMed]
  33. R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science323, 366–369 (2009).
    [CrossRef] [PubMed]
  34. J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials8, 568–571 (2009).
    [CrossRef]
  35. H. F. Ma and T. J. Cui, “Three-dimensional broadband ground-plane cloak made of metamaterials,” Nat. Commun.1, 21 (2010).
    [CrossRef] [PubMed]
  36. H. F. Ma, W. X. Jiang, X. M. Yang, X. Y. Zhou, and T. J. Cui, “Compact-sized and broadband carpet cloak and free-space cloak,” Opt. Express22, 19947–19961 (2009).
    [CrossRef]
  37. S. Xi, H. Chen, B.-I. Wu, and J. A. Kong, “One-directional perfect cloak created with homogeneous material,” IEEE Microw. Wirel. Compon. Lett.19, 131–133 (2009).
    [CrossRef]
  38. X. Xu, Y. Feng, Z. Yu, T. Jiang, and J. Zhao, “Simplified ground plane invisibility cloak by multilayer dielectrics,” Opt. Express18, 24477–24485 (2010).
    [CrossRef] [PubMed]
  39. Y. Luo, J. Zhang, H. Chen, L. Ran, B. -I. Wu, and J. A. Kong, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag.57, 3926–3933 (2009).
    [CrossRef]
  40. Z. Liang and J. Li, “Bending a periodically layered structure for transformation acoustics,” Appl. Phys. Lett.98, 241914 (2011).
    [CrossRef]
  41. B.-I. Popa, L. Zigoneanu, and S. A. Cummer, “Experimental acoustic ground cloak in air,” Phys. Rev. Lett.106, 253901 (2011).
    [CrossRef] [PubMed]
  42. Z. Chang, J. Hu, G. Hu, R. Tao, and Y. Wang, “Controlling elastic waves with isotropic materials,” Appl. Phys. Lett.98,121904 (2011).
    [CrossRef]
  43. Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, “Transformational plasmon optics,” Nano Lett.10, 1991–1997 (2010).
    [CrossRef] [PubMed]
  44. J. Renger, M. Kadic, G. Dupont, S. S. Aćimović, S. Guenneau, R. Quidant, and S. Enoch, “Hidden progress: broadband plasmonic invisibility,” Opt. Express18, 15757–15768 (2010).
    [CrossRef] [PubMed]
  45. W. X. Jiang, T. J. Cui, H. F. Ma, X. M. Yang, and Q. Cheng, “Shrinking an arbitrarily-shaped object as desired using metamaterials,” Appl. Phys. Lett.98, 204101 (2011).
    [CrossRef]
  46. W. X. Jiang and T. J. Cui, “Moving targets virtually via composite optical transformation,” Opt. Express18, 5161–5172 (2010).
    [CrossRef]
  47. W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Virtual conversion from metal to dielectric objects using metamaterials,” Opt. Express18, 11276–11281 (2010).
    [CrossRef] [PubMed]
  48. W. X. Jiang and T. J. Cui, “Radar illusion via metamaterials,” Phys. Rev. E83, 026601 (2011).
    [CrossRef]

2012

M. Fridman, A. Farsi, Y. Okawachi, and A. L. Gaeta, “Demonstration of temporal cloaking,” Nature481, 62–65 (2012).
[CrossRef] [PubMed]

F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science335, 1466–1468 (2012).
[CrossRef] [PubMed]

S. Narayana and Y. Sato, “DC magnetic cloak,” Adv. Mater.24, 71–74 (2012).
[CrossRef]

F. Yang, Z. L. Mei, T. Y. Jin, and T. J. Cui, “DC electric invisibility cloak,” Phys. Rev. Lett.109, 053902 (2012).
[CrossRef] [PubMed]

M. Liu, Z. L. Mei, X. Ma, and T. J. Cui, “Dc illusion and its experimental verification,” Appl. Phys. Lett.101, 051905 (2012).
[CrossRef]

S. Narayana and Y. Sato, “Heat flux manipulation with engineered thermal materials,” Phys. Rev. Lett.108, 214303 (2012).
[CrossRef] [PubMed]

S. Guenneau, C. Amra, and D. Veynante, “Transformation thermodynamics: cloaking and concentrating heat flux,” Opt. Express20, 8207–8218 (2012).
[CrossRef] [PubMed]

W. Zhu, I. D. Rukhlenko, and M. Premaratne, “Linear transformation optics for plasmonics,” J. Opt. Soc. Am. B29, 2659–2664 (2012).
[CrossRef]

2011

W. X. Jiang, T. J. Cui, H. F. Ma, X. M. Yang, and Q. Cheng, “Shrinking an arbitrarily-shaped object as desired using metamaterials,” Appl. Phys. Lett.98, 204101 (2011).
[CrossRef]

W. X. Jiang and T. J. Cui, “Radar illusion via metamaterials,” Phys. Rev. E83, 026601 (2011).
[CrossRef]

W. Zhu, I. Shadrivov, D. Powell, and Y. Kivshar, “Hiding in the corner,” Opt. Express19, 20827–20832 (2011).
[CrossRef] [PubMed]

A. Sanchez, C. Navau, J. Prat-Camps, and D. Chen, “Antimagnets: controlling magnetic fields with superconductor-metamaterial hybrids,” New J. Phys.13, 093034 (2011).
[CrossRef]

M. W. McCall, A. Favaro, P. Kinsler, and A. Boardman, “A spacetime cloak, or a history editor,” J. Opt.13, 024003 (2011).
[CrossRef]

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisible cloak for visible light,” Phys. Rev. Lett.106, 033901 (2011).
[CrossRef] [PubMed]

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun.2, 176 (2011).
[CrossRef] [PubMed]

S. Zhang, C. Xia, and N. Fang, “Broadband acoustic cloak for ultrasound waves,” Phys. Rev. Lett.106, 024301 (2011).
[CrossRef] [PubMed]

Z. Liang and J. Li, “Bending a periodically layered structure for transformation acoustics,” Appl. Phys. Lett.98, 241914 (2011).
[CrossRef]

B.-I. Popa, L. Zigoneanu, and S. A. Cummer, “Experimental acoustic ground cloak in air,” Phys. Rev. Lett.106, 253901 (2011).
[CrossRef] [PubMed]

Z. Chang, J. Hu, G. Hu, R. Tao, and Y. Wang, “Controlling elastic waves with isotropic materials,” Appl. Phys. Lett.98,121904 (2011).
[CrossRef]

2010

Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, “Transformational plasmon optics,” Nano Lett.10, 1991–1997 (2010).
[CrossRef] [PubMed]

W. Zhu, C. Ding, and X. Zhao, “A numerical method for designing acoustic cloak with homogeneous metamaterials,” Appl. Phys. Lett.97, 131902 (2010).
[CrossRef]

Z. L. Mei, J. Bai, and T. J. Cui, “Illusion devices with quasi-conformal mapping,” J. Electromagn. Waves Appl.24, 2561–2563 (2010).
[CrossRef]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Illusion media: Generating virtual objects using realizable metamaterials,” Appl. Phys. Lett.96, 121910 (2010).
[CrossRef]

C. Li, X. Meng, X. Liu, F. Li, G. Fang, H. Chen, and C. T. Chan, “Experimental realization of a circuit-based broadband illusion-optics analogue,” Phys. Rev. Lett.105, 233906 (2010).
[CrossRef]

J. Y. Li, Y. Gao, and J. P. Huang, “A bifunctional cloak using transformation media,” J. Appl. Phys.108, 074504 (2010).
[CrossRef]

H. F. Ma and T. J. Cui, “Three-dimensional broadband ground-plane cloak made of metamaterials,” Nat. Commun.1, 21 (2010).
[CrossRef] [PubMed]

W. X. Jiang and T. J. Cui, “Moving targets virtually via composite optical transformation,” Opt. Express18, 5161–5172 (2010).
[CrossRef]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Virtual conversion from metal to dielectric objects using metamaterials,” Opt. Express18, 11276–11281 (2010).
[CrossRef] [PubMed]

J. Renger, M. Kadic, G. Dupont, S. S. Aćimović, S. Guenneau, R. Quidant, and S. Enoch, “Hidden progress: broadband plasmonic invisibility,” Opt. Express18, 15757–15768 (2010).
[CrossRef] [PubMed]

X. Xu, Y. Feng, Z. Yu, T. Jiang, and J. Zhao, “Simplified ground plane invisibility cloak by multilayer dielectrics,” Opt. Express18, 24477–24485 (2010).
[CrossRef] [PubMed]

P. A. Huidobro, M. L. Nesterov, L. Martin-Moreno, and F. J. Garcia-Vidal, “Transformation optics for plasmonics,” Nano Lett.10, 1985–1990 (2010).
[CrossRef] [PubMed]

2009

H. F. Ma, W. X. Jiang, X. M. Yang, X. Y. Zhou, and T. J. Cui, “Compact-sized and broadband carpet cloak and free-space cloak,” Opt. Express22, 19947–19961 (2009).
[CrossRef]

S. Xi, H. Chen, B.-I. Wu, and J. A. Kong, “One-directional perfect cloak created with homogeneous material,” IEEE Microw. Wirel. Compon. Lett.19, 131–133 (2009).
[CrossRef]

Y. Lai, H. Chen, Z. 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]

U. Leonhardt and T. G. Philbin, “Transformation optics and the geometry of light,” Prog. Opt.53, 69–152 (2009).
[CrossRef]

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science323, 366–369 (2009).
[CrossRef] [PubMed]

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials8, 568–571 (2009).
[CrossRef]

Y. Luo, J. Zhang, H. Chen, L. Ran, B. -I. Wu, and J. A. Kong, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag.57, 3926–3933 (2009).
[CrossRef]

2008

J. B. Pendry and J. Li, “An acoustic metafluid: realizing a broadband acoustic cloak,” New J. Phys.10, 115032 (2008).
[CrossRef]

R. V. Kohn, H. Shen, M. S. Vogelius, and M. I. Weinstein, “Cloaking via change of variables in electric impedance tomography,” Inverse Probl.24, 015016 (2008).
[CrossRef]

J. Li and J. B. Pendry, “Hiding under the carpet: A new strategy for cloaking,” Phys. Rev. Lett.101, 203901 (2008).
[CrossRef] [PubMed]

2006

J. B. Pendry, D. Shurig, and D. R. Smith, “Controlling electromagnetic fields,” Science312, 1780–1782 (2006).
[CrossRef] [PubMed]

U. Leonhardt, “Optical conformal mapping,” Science312, 1777–1780 (2006).
[CrossRef] [PubMed]

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,” Science314, 977–980 (2006).
[CrossRef] [PubMed]

G. W. Milton and N.-A. P. Nicorovici, “On cloaking for elasticity and physical equations with a transformation invariant form,” New J. Phys.8, 248 (2006).
[CrossRef]

2003

A. Greenleaf, M. Lassas, and G. Uhlmann, “Anisotropic conductivities that cannot be detected by EIT,” Physiol. Meas.24, 413–419 (2003).
[CrossRef] [PubMed]

1961

L. S. Dolin, “On a possibility of comparing three-dimensional electromagnetic systems with inhomogeneous filling,” Izv. Vyssh. Uchebn. Zaved. Radiofiz.4, 964–967(1961).

Acimovic, S. S.

Amra, C.

Bai, J.

Z. L. Mei, J. Bai, and T. J. Cui, “Illusion devices with quasi-conformal mapping,” J. Electromagn. Waves Appl.24, 2561–2563 (2010).
[CrossRef]

Barbastathis, G.

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisible cloak for visible light,” Phys. Rev. Lett.106, 033901 (2011).
[CrossRef] [PubMed]

Bartal, G.

Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, “Transformational plasmon optics,” Nano Lett.10, 1991–1997 (2010).
[CrossRef] [PubMed]

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials8, 568–571 (2009).
[CrossRef]

Boardman, A.

M. W. McCall, A. Favaro, P. Kinsler, and A. Boardman, “A spacetime cloak, or a history editor,” J. Opt.13, 024003 (2011).
[CrossRef]

Chan, C. T.

C. Li, X. Meng, X. Liu, F. Li, G. Fang, H. Chen, and C. T. Chan, “Experimental realization of a circuit-based broadband illusion-optics analogue,” Phys. Rev. Lett.105, 233906 (2010).
[CrossRef]

Y. Lai, H. Chen, Z. 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]

Chang, Z.

Z. Chang, J. Hu, G. Hu, R. Tao, and Y. Wang, “Controlling elastic waves with isotropic materials,” Appl. Phys. Lett.98,121904 (2011).
[CrossRef]

Chen, D.

A. Sanchez, C. Navau, J. Prat-Camps, and D. Chen, “Antimagnets: controlling magnetic fields with superconductor-metamaterial hybrids,” New J. Phys.13, 093034 (2011).
[CrossRef]

Chen, H.

C. Li, X. Meng, X. Liu, F. Li, G. Fang, H. Chen, and C. T. Chan, “Experimental realization of a circuit-based broadband illusion-optics analogue,” Phys. Rev. Lett.105, 233906 (2010).
[CrossRef]

Y. Lai, H. Chen, Z. 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]

Y. Luo, J. Zhang, H. Chen, L. Ran, B. -I. Wu, and J. A. Kong, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag.57, 3926–3933 (2009).
[CrossRef]

S. Xi, H. Chen, B.-I. Wu, and J. A. Kong, “One-directional perfect cloak created with homogeneous material,” IEEE Microw. Wirel. Compon. Lett.19, 131–133 (2009).
[CrossRef]

Chen, X.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun.2, 176 (2011).
[CrossRef] [PubMed]

Cheng, Q.

W. X. Jiang, T. J. Cui, H. F. Ma, X. M. Yang, and Q. Cheng, “Shrinking an arbitrarily-shaped object as desired using metamaterials,” Appl. Phys. Lett.98, 204101 (2011).
[CrossRef]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Illusion media: Generating virtual objects using realizable metamaterials,” Appl. Phys. Lett.96, 121910 (2010).
[CrossRef]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Virtual conversion from metal to dielectric objects using metamaterials,” Opt. Express18, 11276–11281 (2010).
[CrossRef] [PubMed]

Chin, J. Y.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science323, 366–369 (2009).
[CrossRef] [PubMed]

Cui, T. J.

M. Liu, Z. L. Mei, X. Ma, and T. J. Cui, “Dc illusion and its experimental verification,” Appl. Phys. Lett.101, 051905 (2012).
[CrossRef]

F. Yang, Z. L. Mei, T. Y. Jin, and T. J. Cui, “DC electric invisibility cloak,” Phys. Rev. Lett.109, 053902 (2012).
[CrossRef] [PubMed]

W. X. Jiang, T. J. Cui, H. F. Ma, X. M. Yang, and Q. Cheng, “Shrinking an arbitrarily-shaped object as desired using metamaterials,” Appl. Phys. Lett.98, 204101 (2011).
[CrossRef]

W. X. Jiang and T. J. Cui, “Radar illusion via metamaterials,” Phys. Rev. E83, 026601 (2011).
[CrossRef]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Virtual conversion from metal to dielectric objects using metamaterials,” Opt. Express18, 11276–11281 (2010).
[CrossRef] [PubMed]

Z. L. Mei, J. Bai, and T. J. Cui, “Illusion devices with quasi-conformal mapping,” J. Electromagn. Waves Appl.24, 2561–2563 (2010).
[CrossRef]

H. F. Ma and T. J. Cui, “Three-dimensional broadband ground-plane cloak made of metamaterials,” Nat. Commun.1, 21 (2010).
[CrossRef] [PubMed]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Illusion media: Generating virtual objects using realizable metamaterials,” Appl. Phys. Lett.96, 121910 (2010).
[CrossRef]

W. X. Jiang and T. J. Cui, “Moving targets virtually via composite optical transformation,” Opt. Express18, 5161–5172 (2010).
[CrossRef]

H. F. Ma, W. X. Jiang, X. M. Yang, X. Y. Zhou, and T. J. Cui, “Compact-sized and broadband carpet cloak and free-space cloak,” Opt. Express22, 19947–19961 (2009).
[CrossRef]

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science323, 366–369 (2009).
[CrossRef] [PubMed]

Cummer, S. A.

B.-I. Popa, L. Zigoneanu, and S. A. Cummer, “Experimental acoustic ground cloak in air,” Phys. Rev. Lett.106, 253901 (2011).
[CrossRef] [PubMed]

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,” Science314, 977–980 (2006).
[CrossRef] [PubMed]

Ding, C.

W. Zhu, C. Ding, and X. Zhao, “A numerical method for designing acoustic cloak with homogeneous metamaterials,” Appl. Phys. Lett.97, 131902 (2010).
[CrossRef]

Dolin, L. S.

L. S. Dolin, “On a possibility of comparing three-dimensional electromagnetic systems with inhomogeneous filling,” Izv. Vyssh. Uchebn. Zaved. Radiofiz.4, 964–967(1961).

Dupont, G.

Enoch, S.

Fang, G.

C. Li, X. Meng, X. Liu, F. Li, G. Fang, H. Chen, and C. T. Chan, “Experimental realization of a circuit-based broadband illusion-optics analogue,” Phys. Rev. Lett.105, 233906 (2010).
[CrossRef]

Fang, N.

S. Zhang, C. Xia, and N. Fang, “Broadband acoustic cloak for ultrasound waves,” Phys. Rev. Lett.106, 024301 (2011).
[CrossRef] [PubMed]

Farsi, A.

M. Fridman, A. Farsi, Y. Okawachi, and A. L. Gaeta, “Demonstration of temporal cloaking,” Nature481, 62–65 (2012).
[CrossRef] [PubMed]

Favaro, A.

M. W. McCall, A. Favaro, P. Kinsler, and A. Boardman, “A spacetime cloak, or a history editor,” J. Opt.13, 024003 (2011).
[CrossRef]

Feng, Y.

Fridman, M.

M. Fridman, A. Farsi, Y. Okawachi, and A. L. Gaeta, “Demonstration of temporal cloaking,” Nature481, 62–65 (2012).
[CrossRef] [PubMed]

Gaeta, A. L.

M. Fridman, A. Farsi, Y. Okawachi, and A. L. Gaeta, “Demonstration of temporal cloaking,” Nature481, 62–65 (2012).
[CrossRef] [PubMed]

Gao, Y.

J. Y. Li, Y. Gao, and J. P. Huang, “A bifunctional cloak using transformation media,” J. Appl. Phys.108, 074504 (2010).
[CrossRef]

Garcia-Vidal, F. J.

P. A. Huidobro, M. L. Nesterov, L. Martin-Moreno, and F. J. Garcia-Vidal, “Transformation optics for plasmonics,” Nano Lett.10, 1985–1990 (2010).
[CrossRef] [PubMed]

Gömöry, F.

F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science335, 1466–1468 (2012).
[CrossRef] [PubMed]

Greenleaf, A.

A. Greenleaf, M. Lassas, and G. Uhlmann, “Anisotropic conductivities that cannot be detected by EIT,” Physiol. Meas.24, 413–419 (2003).
[CrossRef] [PubMed]

Guenneau, S.

Hu, G.

Z. Chang, J. Hu, G. Hu, R. Tao, and Y. Wang, “Controlling elastic waves with isotropic materials,” Appl. Phys. Lett.98,121904 (2011).
[CrossRef]

Hu, J.

Z. Chang, J. Hu, G. Hu, R. Tao, and Y. Wang, “Controlling elastic waves with isotropic materials,” Appl. Phys. Lett.98,121904 (2011).
[CrossRef]

Huang, J. P.

J. Y. Li, Y. Gao, and J. P. Huang, “A bifunctional cloak using transformation media,” J. Appl. Phys.108, 074504 (2010).
[CrossRef]

Huidobro, P. A.

P. A. Huidobro, M. L. Nesterov, L. Martin-Moreno, and F. J. Garcia-Vidal, “Transformation optics for plasmonics,” Nano Lett.10, 1985–1990 (2010).
[CrossRef] [PubMed]

Ji, C.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science323, 366–369 (2009).
[CrossRef] [PubMed]

Jiang, K.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun.2, 176 (2011).
[CrossRef] [PubMed]

Jiang, T.

Jiang, W. X.

W. X. Jiang and T. J. Cui, “Radar illusion via metamaterials,” Phys. Rev. E83, 026601 (2011).
[CrossRef]

W. X. Jiang, T. J. Cui, H. F. Ma, X. M. Yang, and Q. Cheng, “Shrinking an arbitrarily-shaped object as desired using metamaterials,” Appl. Phys. Lett.98, 204101 (2011).
[CrossRef]

W. X. Jiang and T. J. Cui, “Moving targets virtually via composite optical transformation,” Opt. Express18, 5161–5172 (2010).
[CrossRef]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Illusion media: Generating virtual objects using realizable metamaterials,” Appl. Phys. Lett.96, 121910 (2010).
[CrossRef]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Virtual conversion from metal to dielectric objects using metamaterials,” Opt. Express18, 11276–11281 (2010).
[CrossRef] [PubMed]

H. F. Ma, W. X. Jiang, X. M. Yang, X. Y. Zhou, and T. J. Cui, “Compact-sized and broadband carpet cloak and free-space cloak,” Opt. Express22, 19947–19961 (2009).
[CrossRef]

Jin, T. Y.

F. Yang, Z. L. Mei, T. Y. Jin, and T. J. Cui, “DC electric invisibility cloak,” Phys. Rev. Lett.109, 053902 (2012).
[CrossRef] [PubMed]

Justice, B. J.

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,” Science314, 977–980 (2006).
[CrossRef] [PubMed]

Kadic, M.

Kinsler, P.

M. W. McCall, A. Favaro, P. Kinsler, and A. Boardman, “A spacetime cloak, or a history editor,” J. Opt.13, 024003 (2011).
[CrossRef]

Kivshar, Y.

Kohn, R. V.

R. V. Kohn, H. Shen, M. S. Vogelius, and M. I. Weinstein, “Cloaking via change of variables in electric impedance tomography,” Inverse Probl.24, 015016 (2008).
[CrossRef]

Kong, J. A.

Y. Luo, J. Zhang, H. Chen, L. Ran, B. -I. Wu, and J. A. Kong, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag.57, 3926–3933 (2009).
[CrossRef]

S. Xi, H. Chen, B.-I. Wu, and J. A. Kong, “One-directional perfect cloak created with homogeneous material,” IEEE Microw. Wirel. Compon. Lett.19, 131–133 (2009).
[CrossRef]

Lai, Y.

Y. Lai, H. Chen, Z. 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]

Lassas, M.

A. Greenleaf, M. Lassas, and G. Uhlmann, “Anisotropic conductivities that cannot be detected by EIT,” Physiol. Meas.24, 413–419 (2003).
[CrossRef] [PubMed]

Leonhardt, U.

U. Leonhardt and T. G. Philbin, “Transformation optics and the geometry of light,” Prog. Opt.53, 69–152 (2009).
[CrossRef]

U. Leonhardt, “Optical conformal mapping,” Science312, 1777–1780 (2006).
[CrossRef] [PubMed]

Li, C.

C. Li, X. Meng, X. Liu, F. Li, G. Fang, H. Chen, and C. T. Chan, “Experimental realization of a circuit-based broadband illusion-optics analogue,” Phys. Rev. Lett.105, 233906 (2010).
[CrossRef]

Li, F.

C. Li, X. Meng, X. Liu, F. Li, G. Fang, H. Chen, and C. T. Chan, “Experimental realization of a circuit-based broadband illusion-optics analogue,” Phys. Rev. Lett.105, 233906 (2010).
[CrossRef]

Li, J.

Z. Liang and J. Li, “Bending a periodically layered structure for transformation acoustics,” Appl. Phys. Lett.98, 241914 (2011).
[CrossRef]

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials8, 568–571 (2009).
[CrossRef]

J. B. Pendry and J. Li, “An acoustic metafluid: realizing a broadband acoustic cloak,” New J. Phys.10, 115032 (2008).
[CrossRef]

J. Li and J. B. Pendry, “Hiding under the carpet: A new strategy for cloaking,” Phys. Rev. Lett.101, 203901 (2008).
[CrossRef] [PubMed]

Li, J. Y.

J. Y. Li, Y. Gao, and J. P. Huang, “A bifunctional cloak using transformation media,” J. Appl. Phys.108, 074504 (2010).
[CrossRef]

Liang, Z.

Z. Liang and J. Li, “Bending a periodically layered structure for transformation acoustics,” Appl. Phys. Lett.98, 241914 (2011).
[CrossRef]

Liu, M.

M. Liu, Z. L. Mei, X. Ma, and T. J. Cui, “Dc illusion and its experimental verification,” Appl. Phys. Lett.101, 051905 (2012).
[CrossRef]

Liu, R.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science323, 366–369 (2009).
[CrossRef] [PubMed]

Liu, X.

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisible cloak for visible light,” Phys. Rev. Lett.106, 033901 (2011).
[CrossRef] [PubMed]

C. Li, X. Meng, X. Liu, F. Li, G. Fang, H. Chen, and C. T. Chan, “Experimental realization of a circuit-based broadband illusion-optics analogue,” Phys. Rev. Lett.105, 233906 (2010).
[CrossRef]

Liu, Y.

Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, “Transformational plasmon optics,” Nano Lett.10, 1991–1997 (2010).
[CrossRef] [PubMed]

Luo, Y.

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisible cloak for visible light,” Phys. Rev. Lett.106, 033901 (2011).
[CrossRef] [PubMed]

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun.2, 176 (2011).
[CrossRef] [PubMed]

Y. Luo, J. Zhang, H. Chen, L. Ran, B. -I. Wu, and J. A. Kong, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag.57, 3926–3933 (2009).
[CrossRef]

Ma, H. F.

W. X. Jiang, T. J. Cui, H. F. Ma, X. M. Yang, and Q. Cheng, “Shrinking an arbitrarily-shaped object as desired using metamaterials,” Appl. Phys. Lett.98, 204101 (2011).
[CrossRef]

H. F. Ma and T. J. Cui, “Three-dimensional broadband ground-plane cloak made of metamaterials,” Nat. Commun.1, 21 (2010).
[CrossRef] [PubMed]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Illusion media: Generating virtual objects using realizable metamaterials,” Appl. Phys. Lett.96, 121910 (2010).
[CrossRef]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Virtual conversion from metal to dielectric objects using metamaterials,” Opt. Express18, 11276–11281 (2010).
[CrossRef] [PubMed]

H. F. Ma, W. X. Jiang, X. M. Yang, X. Y. Zhou, and T. J. Cui, “Compact-sized and broadband carpet cloak and free-space cloak,” Opt. Express22, 19947–19961 (2009).
[CrossRef]

Ma, X.

M. Liu, Z. L. Mei, X. Ma, and T. J. Cui, “Dc illusion and its experimental verification,” Appl. Phys. Lett.101, 051905 (2012).
[CrossRef]

Martin-Moreno, L.

P. A. Huidobro, M. L. Nesterov, L. Martin-Moreno, and F. J. Garcia-Vidal, “Transformation optics for plasmonics,” Nano Lett.10, 1985–1990 (2010).
[CrossRef] [PubMed]

McCall, M. W.

M. W. McCall, A. Favaro, P. Kinsler, and A. Boardman, “A spacetime cloak, or a history editor,” J. Opt.13, 024003 (2011).
[CrossRef]

Mei, Z. L.

F. Yang, Z. L. Mei, T. Y. Jin, and T. J. Cui, “DC electric invisibility cloak,” Phys. Rev. Lett.109, 053902 (2012).
[CrossRef] [PubMed]

M. Liu, Z. L. Mei, X. Ma, and T. J. Cui, “Dc illusion and its experimental verification,” Appl. Phys. Lett.101, 051905 (2012).
[CrossRef]

Z. L. Mei, J. Bai, and T. J. Cui, “Illusion devices with quasi-conformal mapping,” J. Electromagn. Waves Appl.24, 2561–2563 (2010).
[CrossRef]

Meng, X.

C. Li, X. Meng, X. Liu, F. Li, G. Fang, H. Chen, and C. T. Chan, “Experimental realization of a circuit-based broadband illusion-optics analogue,” Phys. Rev. Lett.105, 233906 (2010).
[CrossRef]

Milton, G. W.

G. W. Milton and N.-A. P. Nicorovici, “On cloaking for elasticity and physical equations with a transformation invariant form,” New J. Phys.8, 248 (2006).
[CrossRef]

Mock, J. J.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science323, 366–369 (2009).
[CrossRef] [PubMed]

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,” Science314, 977–980 (2006).
[CrossRef] [PubMed]

Narayana, S.

S. Narayana and Y. Sato, “Heat flux manipulation with engineered thermal materials,” Phys. Rev. Lett.108, 214303 (2012).
[CrossRef] [PubMed]

S. Narayana and Y. Sato, “DC magnetic cloak,” Adv. Mater.24, 71–74 (2012).
[CrossRef]

Navau, C.

F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science335, 1466–1468 (2012).
[CrossRef] [PubMed]

A. Sanchez, C. Navau, J. Prat-Camps, and D. Chen, “Antimagnets: controlling magnetic fields with superconductor-metamaterial hybrids,” New J. Phys.13, 093034 (2011).
[CrossRef]

Nesterov, M. L.

P. A. Huidobro, M. L. Nesterov, L. Martin-Moreno, and F. J. Garcia-Vidal, “Transformation optics for plasmonics,” Nano Lett.10, 1985–1990 (2010).
[CrossRef] [PubMed]

Nicorovici, N.-A. P.

G. W. Milton and N.-A. P. Nicorovici, “On cloaking for elasticity and physical equations with a transformation invariant form,” New J. Phys.8, 248 (2006).
[CrossRef]

Okawachi, Y.

M. Fridman, A. Farsi, Y. Okawachi, and A. L. Gaeta, “Demonstration of temporal cloaking,” Nature481, 62–65 (2012).
[CrossRef] [PubMed]

Pendry, J. B.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun.2, 176 (2011).
[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]

J. B. Pendry and J. Li, “An acoustic metafluid: realizing a broadband acoustic cloak,” New J. Phys.10, 115032 (2008).
[CrossRef]

J. B. Pendry, D. Shurig, and D. R. Smith, “Controlling electromagnetic fields,” Science312, 1780–1782 (2006).
[CrossRef] [PubMed]

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,” Science314, 977–980 (2006).
[CrossRef] [PubMed]

Philbin, T. G.

U. Leonhardt and T. G. Philbin, “Transformation optics and the geometry of light,” Prog. Opt.53, 69–152 (2009).
[CrossRef]

Popa, B.-I.

B.-I. Popa, L. Zigoneanu, and S. A. Cummer, “Experimental acoustic ground cloak in air,” Phys. Rev. Lett.106, 253901 (2011).
[CrossRef] [PubMed]

Post, E. G.

E. G. Post, Formal Structure of Electromagnetics; General Covariance and Electromagnetics (Interscience, New York, 1962).

Powell, D.

Prat-Camps, J.

F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science335, 1466–1468 (2012).
[CrossRef] [PubMed]

A. Sanchez, C. Navau, J. Prat-Camps, and D. Chen, “Antimagnets: controlling magnetic fields with superconductor-metamaterial hybrids,” New J. Phys.13, 093034 (2011).
[CrossRef]

Premaratne, M.

Quidant, R.

Ran, L.

Y. Luo, J. Zhang, H. Chen, L. Ran, B. -I. Wu, and J. A. Kong, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag.57, 3926–3933 (2009).
[CrossRef]

Renger, J.

Rukhlenko, I. D.

Sanchez, A.

F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science335, 1466–1468 (2012).
[CrossRef] [PubMed]

A. Sanchez, C. Navau, J. Prat-Camps, and D. Chen, “Antimagnets: controlling magnetic fields with superconductor-metamaterial hybrids,” New J. Phys.13, 093034 (2011).
[CrossRef]

Sato, Y.

S. Narayana and Y. Sato, “DC magnetic cloak,” Adv. Mater.24, 71–74 (2012).
[CrossRef]

S. Narayana and Y. Sato, “Heat flux manipulation with engineered thermal materials,” Phys. Rev. Lett.108, 214303 (2012).
[CrossRef] [PubMed]

Schurig, D.

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,” Science314, 977–980 (2006).
[CrossRef] [PubMed]

Shadrivov, I.

Shen, H.

R. V. Kohn, H. Shen, M. S. Vogelius, and M. I. Weinstein, “Cloaking via change of variables in electric impedance tomography,” Inverse Probl.24, 015016 (2008).
[CrossRef]

Shurig, D.

J. B. Pendry, D. Shurig, and D. R. Smith, “Controlling electromagnetic fields,” Science312, 1780–1782 (2006).
[CrossRef] [PubMed]

Smith, D. R.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science323, 366–369 (2009).
[CrossRef] [PubMed]

J. B. Pendry, D. Shurig, and D. R. Smith, “Controlling electromagnetic fields,” Science312, 1780–1782 (2006).
[CrossRef] [PubMed]

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,” Science314, 977–980 (2006).
[CrossRef] [PubMed]

Solovyov, M.

F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science335, 1466–1468 (2012).
[CrossRef] [PubMed]

Šouc, J.

F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science335, 1466–1468 (2012).
[CrossRef] [PubMed]

Starr, A. F.

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,” Science314, 977–980 (2006).
[CrossRef] [PubMed]

Tao, R.

Z. Chang, J. Hu, G. Hu, R. Tao, and Y. Wang, “Controlling elastic waves with isotropic materials,” Appl. Phys. Lett.98,121904 (2011).
[CrossRef]

Uhlmann, G.

A. Greenleaf, M. Lassas, and G. Uhlmann, “Anisotropic conductivities that cannot be detected by EIT,” Physiol. Meas.24, 413–419 (2003).
[CrossRef] [PubMed]

Valentine, J.

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials8, 568–571 (2009).
[CrossRef]

Veynante, D.

Vogelius, M. S.

R. V. Kohn, H. Shen, M. S. Vogelius, and M. I. Weinstein, “Cloaking via change of variables in electric impedance tomography,” Inverse Probl.24, 015016 (2008).
[CrossRef]

Wang, Y.

Z. Chang, J. Hu, G. Hu, R. Tao, and Y. Wang, “Controlling elastic waves with isotropic materials,” Appl. Phys. Lett.98,121904 (2011).
[CrossRef]

Weinstein, M. I.

R. V. Kohn, H. Shen, M. S. Vogelius, and M. I. Weinstein, “Cloaking via change of variables in electric impedance tomography,” Inverse Probl.24, 015016 (2008).
[CrossRef]

Wu, B. -I.

Y. Luo, J. Zhang, H. Chen, L. Ran, B. -I. Wu, and J. A. Kong, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag.57, 3926–3933 (2009).
[CrossRef]

Wu, B.-I.

S. Xi, H. Chen, B.-I. Wu, and J. A. Kong, “One-directional perfect cloak created with homogeneous material,” IEEE Microw. Wirel. Compon. Lett.19, 131–133 (2009).
[CrossRef]

Xi, S.

S. Xi, H. Chen, B.-I. Wu, and J. A. Kong, “One-directional perfect cloak created with homogeneous material,” IEEE Microw. Wirel. Compon. Lett.19, 131–133 (2009).
[CrossRef]

Xia, C.

S. Zhang, C. Xia, and N. Fang, “Broadband acoustic cloak for ultrasound waves,” Phys. Rev. Lett.106, 024301 (2011).
[CrossRef] [PubMed]

Xu, X.

Yang, F.

F. Yang, Z. L. Mei, T. Y. Jin, and T. J. Cui, “DC electric invisibility cloak,” Phys. Rev. Lett.109, 053902 (2012).
[CrossRef] [PubMed]

Yang, X. M.

W. X. Jiang, T. J. Cui, H. F. Ma, X. M. Yang, and Q. Cheng, “Shrinking an arbitrarily-shaped object as desired using metamaterials,” Appl. Phys. Lett.98, 204101 (2011).
[CrossRef]

H. F. Ma, W. X. Jiang, X. M. Yang, X. Y. Zhou, and T. J. Cui, “Compact-sized and broadband carpet cloak and free-space cloak,” Opt. Express22, 19947–19961 (2009).
[CrossRef]

Yu, Z.

Zentgraf, T.

Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, “Transformational plasmon optics,” Nano Lett.10, 1991–1997 (2010).
[CrossRef] [PubMed]

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials8, 568–571 (2009).
[CrossRef]

Zhang, B.

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisible cloak for visible light,” Phys. Rev. Lett.106, 033901 (2011).
[CrossRef] [PubMed]

Zhang, J.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun.2, 176 (2011).
[CrossRef] [PubMed]

Y. Luo, J. Zhang, H. Chen, L. Ran, B. -I. Wu, and J. A. Kong, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag.57, 3926–3933 (2009).
[CrossRef]

Zhang, S.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun.2, 176 (2011).
[CrossRef] [PubMed]

S. Zhang, C. Xia, and N. Fang, “Broadband acoustic cloak for ultrasound waves,” Phys. Rev. Lett.106, 024301 (2011).
[CrossRef] [PubMed]

Zhang, X.

Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, “Transformational plasmon optics,” Nano Lett.10, 1991–1997 (2010).
[CrossRef] [PubMed]

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials8, 568–571 (2009).
[CrossRef]

Zhang, Z.

Y. Lai, H. Chen, Z. 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]

Zhao, J.

Zhao, X.

W. Zhu, C. Ding, and X. Zhao, “A numerical method for designing acoustic cloak with homogeneous metamaterials,” Appl. Phys. Lett.97, 131902 (2010).
[CrossRef]

Zhou, X. Y.

H. F. Ma, W. X. Jiang, X. M. Yang, X. Y. Zhou, and T. J. Cui, “Compact-sized and broadband carpet cloak and free-space cloak,” Opt. Express22, 19947–19961 (2009).
[CrossRef]

Zhu, W.

Zigoneanu, L.

B.-I. Popa, L. Zigoneanu, and S. A. Cummer, “Experimental acoustic ground cloak in air,” Phys. Rev. Lett.106, 253901 (2011).
[CrossRef] [PubMed]

Adv. Mater.

S. Narayana and Y. Sato, “DC magnetic cloak,” Adv. Mater.24, 71–74 (2012).
[CrossRef]

Appl. Phys. Lett.

M. Liu, Z. L. Mei, X. Ma, and T. J. Cui, “Dc illusion and its experimental verification,” Appl. Phys. Lett.101, 051905 (2012).
[CrossRef]

W. X. Jiang, H. F. Ma, Q. Cheng, and T. J. Cui, “Illusion media: Generating virtual objects using realizable metamaterials,” Appl. Phys. Lett.96, 121910 (2010).
[CrossRef]

W. Zhu, C. Ding, and X. Zhao, “A numerical method for designing acoustic cloak with homogeneous metamaterials,” Appl. Phys. Lett.97, 131902 (2010).
[CrossRef]

Z. Liang and J. Li, “Bending a periodically layered structure for transformation acoustics,” Appl. Phys. Lett.98, 241914 (2011).
[CrossRef]

Z. Chang, J. Hu, G. Hu, R. Tao, and Y. Wang, “Controlling elastic waves with isotropic materials,” Appl. Phys. Lett.98,121904 (2011).
[CrossRef]

W. X. Jiang, T. J. Cui, H. F. Ma, X. M. Yang, and Q. Cheng, “Shrinking an arbitrarily-shaped object as desired using metamaterials,” Appl. Phys. Lett.98, 204101 (2011).
[CrossRef]

IEEE Microw. Wirel. Compon. Lett.

S. Xi, H. Chen, B.-I. Wu, and J. A. Kong, “One-directional perfect cloak created with homogeneous material,” IEEE Microw. Wirel. Compon. Lett.19, 131–133 (2009).
[CrossRef]

IEEE Trans. Antennas Propag.

Y. Luo, J. Zhang, H. Chen, L. Ran, B. -I. Wu, and J. A. Kong, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag.57, 3926–3933 (2009).
[CrossRef]

Inverse Probl.

R. V. Kohn, H. Shen, M. S. Vogelius, and M. I. Weinstein, “Cloaking via change of variables in electric impedance tomography,” Inverse Probl.24, 015016 (2008).
[CrossRef]

Izv. Vyssh. Uchebn. Zaved. Radiofiz.

L. S. Dolin, “On a possibility of comparing three-dimensional electromagnetic systems with inhomogeneous filling,” Izv. Vyssh. Uchebn. Zaved. Radiofiz.4, 964–967(1961).

J. Appl. Phys.

J. Y. Li, Y. Gao, and J. P. Huang, “A bifunctional cloak using transformation media,” J. Appl. Phys.108, 074504 (2010).
[CrossRef]

J. Electromagn. Waves Appl.

Z. L. Mei, J. Bai, and T. J. Cui, “Illusion devices with quasi-conformal mapping,” J. Electromagn. Waves Appl.24, 2561–2563 (2010).
[CrossRef]

J. Opt.

M. W. McCall, A. Favaro, P. Kinsler, and A. Boardman, “A spacetime cloak, or a history editor,” J. Opt.13, 024003 (2011).
[CrossRef]

J. Opt. Soc. Am. B

Nano Lett.

Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, “Transformational plasmon optics,” Nano Lett.10, 1991–1997 (2010).
[CrossRef] [PubMed]

P. A. Huidobro, M. L. Nesterov, L. Martin-Moreno, and F. J. Garcia-Vidal, “Transformation optics for plasmonics,” Nano Lett.10, 1985–1990 (2010).
[CrossRef] [PubMed]

Nat. Commun.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun.2, 176 (2011).
[CrossRef] [PubMed]

H. F. Ma and T. J. Cui, “Three-dimensional broadband ground-plane cloak made of metamaterials,” Nat. Commun.1, 21 (2010).
[CrossRef] [PubMed]

Nat. Materials

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials8, 568–571 (2009).
[CrossRef]

Nature

M. Fridman, A. Farsi, Y. Okawachi, and A. L. Gaeta, “Demonstration of temporal cloaking,” Nature481, 62–65 (2012).
[CrossRef] [PubMed]

New J. Phys.

A. Sanchez, C. Navau, J. Prat-Camps, and D. Chen, “Antimagnets: controlling magnetic fields with superconductor-metamaterial hybrids,” New J. Phys.13, 093034 (2011).
[CrossRef]

J. B. Pendry and J. Li, “An acoustic metafluid: realizing a broadband acoustic cloak,” New J. Phys.10, 115032 (2008).
[CrossRef]

G. W. Milton and N.-A. P. Nicorovici, “On cloaking for elasticity and physical equations with a transformation invariant form,” New J. Phys.8, 248 (2006).
[CrossRef]

Opt. Express

Phys. Rev. E

W. X. Jiang and T. J. Cui, “Radar illusion via metamaterials,” Phys. Rev. E83, 026601 (2011).
[CrossRef]

Phys. Rev. Lett.

J. Li and J. B. Pendry, “Hiding under the carpet: A new strategy for cloaking,” Phys. Rev. Lett.101, 203901 (2008).
[CrossRef] [PubMed]

F. Yang, Z. L. Mei, T. Y. Jin, and T. J. Cui, “DC electric invisibility cloak,” Phys. Rev. Lett.109, 053902 (2012).
[CrossRef] [PubMed]

Y. Lai, H. Chen, Z. 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]

S. Zhang, C. Xia, and N. Fang, “Broadband acoustic cloak for ultrasound waves,” Phys. Rev. Lett.106, 024301 (2011).
[CrossRef] [PubMed]

C. Li, X. Meng, X. Liu, F. Li, G. Fang, H. Chen, and C. T. Chan, “Experimental realization of a circuit-based broadband illusion-optics analogue,” Phys. Rev. Lett.105, 233906 (2010).
[CrossRef]

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisible cloak for visible light,” Phys. Rev. Lett.106, 033901 (2011).
[CrossRef] [PubMed]

S. Narayana and Y. Sato, “Heat flux manipulation with engineered thermal materials,” Phys. Rev. Lett.108, 214303 (2012).
[CrossRef] [PubMed]

B.-I. Popa, L. Zigoneanu, and S. A. Cummer, “Experimental acoustic ground cloak in air,” Phys. Rev. Lett.106, 253901 (2011).
[CrossRef] [PubMed]

Physiol. Meas.

A. Greenleaf, M. Lassas, and G. Uhlmann, “Anisotropic conductivities that cannot be detected by EIT,” Physiol. Meas.24, 413–419 (2003).
[CrossRef] [PubMed]

Prog. Opt.

U. Leonhardt and T. G. Philbin, “Transformation optics and the geometry of light,” Prog. Opt.53, 69–152 (2009).
[CrossRef]

Science

F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science335, 1466–1468 (2012).
[CrossRef] [PubMed]

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science323, 366–369 (2009).
[CrossRef] [PubMed]

J. B. Pendry, D. Shurig, and D. R. Smith, “Controlling electromagnetic fields,” Science312, 1780–1782 (2006).
[CrossRef] [PubMed]

U. Leonhardt, “Optical conformal mapping,” Science312, 1777–1780 (2006).
[CrossRef] [PubMed]

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,” Science314, 977–980 (2006).
[CrossRef] [PubMed]

Other

E. G. Post, Formal Structure of Electromagnetics; General Covariance and Electromagnetics (Interscience, New York, 1962).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Schematics of the proposed dc carpet cloak. (a) The virtual space: a half-infinite conducting material on a perfectly conducting plane. (b) A triangular perfectly conducting bump (used to hide the object) covered by the carpet cloak in the physical space, which is equivalent to the virtual space. (c) Transformation used in the design, where AOB is stretched to AC’B and ACB is kept unchanged.

Fig. 2
Fig. 2

(a) Unit cell of the periodic resistor network to mimic an anisotropic conducting medium. (b) Actual grids used for the carpet cloak fabrication. (c) Rear view of the fabricated carpet cloak.

Fig. 3
Fig. 3

Simulated and measured voltage distributions. (a) The simulation result when four sides of the resistor network are matched to the background, emulating the case of an infinite conducting medium. (b) The simulation result when the top, left and right sides of the resistor network are matched to the background, while the bottom side is grounded, emulating the case of a half-infinite conducting medium. (c) The simulation result when a triangular perfectly conducting bump sticks out from the ground. (d) The simulation result when the triangular bump is covered by the proposed carpet cloak. (e) Similar to (d) but with commercially-available resistors. (f) The measured voltage distribution. Note that the dashed/solid black lines refer to position of the carpet cloak for the sake of comparison. In all figures, the contour plots are given.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

σ ¯ ¯ = A σ ¯ ¯ A T det ( A ) ,
x = x , y = k y + τ ( a x ) , z = z
σ ¯ ¯ = ( 1 / k τ / k 0 τ / k ( τ 2 + k 2 ) / k 0 0 0 1 / k ) σ ,
{ σ x x = ( k 2 + τ 2 + 1 ) ( k 2 + τ 2 + 1 ) 4 k 2 2 k σ y y = ( k 2 + τ 2 + 1 ) + ( k 2 + τ 2 + 1 ) 4 k 2 2 k
θ = 1 2 arctan 2 τ k 2 + τ 2 + 1 .
R x = Δ x σ x x Δ y h , R y = Δ y σ y y Δ x h .
{ Δ x = Δ x 2 + Δ y 2 sin ( θ π / 4 ) Δ y = Δ x 2 + Δ y 2 cos ( θ π / 4 )

Metrics