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

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  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,” Science 314, 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).
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  7. U. Leonhardt and T. G. Philbin, “Transformation optics and the geometry of light,” Prog. Opt. 53, 69–152 (2009).
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  8. Z. L. Mei, J. Bai, and T. J. Cui, “Illusion devices with quasi-conformal mapping,” J. Electromagn. Waves Appl. 24, 2561–2563 (2010).
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  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. 10 2, 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).
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  12. W. Zhu, I. Shadrivov, D. Powell, and Y. Kivshar, “Hiding in the corner,” Opt. Express 19, 20827–20832 (2011).
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  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).
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  15. J. B. Pendry and J. Li, “An acoustic metafluid: realizing a broadband acoustic cloak,” New J. Phys. 10, 115032 (2008).
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  16. S. Zhang, C. Xia, and N. Fang, “Broadband acoustic cloak for ultrasound waves,” Phys. Rev. Lett. 106, 024301 (2011).
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    [CrossRef]
  18. S. Guenneau, C. Amra, and D. Veynante, “Transformation thermodynamics: cloaking and concentrating heat flux,” Opt. Express 20, 8207–8218 (2012).
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    [CrossRef]
  22. M. W. McCall, A. Favaro, P. Kinsler, and A. Boardman, “A spacetime cloak, or a history editor,” J. Opt. 13, 024003 (2011).
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  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).
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  25. F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science 335, 1466–1468 (2012).
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  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,” Science 323, 366–369 (2009).
    [CrossRef] [PubMed]
  34. J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials 8, 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. Express 22, 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. Express 18, 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. Express 18, 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. Express 18, 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. Express 18, 11276–11281 (2010).
    [CrossRef] [PubMed]
  48. W. X. Jiang and T. J. Cui, “Radar illusion via metamaterials,” Phys. Rev. E 83, 026601 (2011).
    [CrossRef]

2012 (8)

M. Fridman, A. Farsi, Y. Okawachi, and A. L. Gaeta, “Demonstration of temporal cloaking,” Nature 481, 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,” Science 335, 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. Express 20, 8207–8218 (2012).
[CrossRef] [PubMed]

W. Zhu, I. D. Rukhlenko, and M. Premaratne, “Linear transformation optics for plasmonics,” J. Opt. Soc. Am. B 29, 2659–2664 (2012).
[CrossRef]

2011 (11)

S. Zhang, C. Xia, and N. Fang, “Broadband acoustic cloak for ultrasound waves,” Phys. Rev. Lett. 106, 024301 (2011).
[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. E 83, 026601 (2011).
[CrossRef]

W. Zhu, I. Shadrivov, D. Powell, and Y. Kivshar, “Hiding in the corner,” Opt. Express 19, 20827–20832 (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]

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]

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]

2010 (12)

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]

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]

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]

W. X. Jiang and T. J. Cui, “Moving targets virtually via composite optical transformation,” Opt. Express 18, 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. Express 18, 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. Express 18, 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. Express 18, 24477–24485 (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]

2009 (7)

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. Express 22, 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. 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]

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323, 366–369 (2009).
[CrossRef] [PubMed]

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials 8, 568–571 (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. 10 2, 093901 (2009).
[CrossRef]

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

2008 (3)

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]

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

2006 (4)

J. B. Pendry, D. Shurig, 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]

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]

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 (1)

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

1961 (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).

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. Materials 8, 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. 10 2, 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]

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. 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]

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. 10 2, 093901 (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, “Virtual conversion from metal to dielectric objects using metamaterials,” Opt. Express 18, 11276–11281 (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]

Chin, J. Y.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323, 366–369 (2009).
[CrossRef] [PubMed]

Cui, T. J.

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]

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. E 83, 026601 (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 and T. J. Cui, “Moving targets virtually via composite optical transformation,” Opt. Express 18, 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. Express 18, 11276–11281 (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]

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, W. X. Jiang, X. M. Yang, X. Y. Zhou, and T. J. Cui, “Compact-sized and broadband carpet cloak and free-space cloak,” Opt. Express 22, 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,” Science 323, 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,” Science 314, 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,” Nature 481, 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,” Nature 481, 62–65 (2012).
[CrossRef] [PubMed]

Gaeta, A. L.

M. Fridman, A. Farsi, Y. Okawachi, and A. L. Gaeta, “Demonstration of temporal cloaking,” Nature 481, 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,” Science 335, 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,” Science 323, 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, 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. E 83, 026601 (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 and T. J. Cui, “Moving targets virtually via composite optical transformation,” Opt. Express 18, 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. Express 18, 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. Express 22, 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,” Science 314, 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.

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. 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]

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. 10 2, 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,” Science 312, 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. Materials 8, 568–571 (2009).
[CrossRef]

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]

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,” Science 323, 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.

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]

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisible cloak for visible light,” Phys. Rev. Lett. 106, 033901 (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, “Virtual conversion from metal to dielectric objects using metamaterials,” Opt. Express 18, 11276–11281 (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]

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. Express 22, 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,” Science 323, 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,” Science 314, 977–980 (2006).
[CrossRef] [PubMed]

Narayana, S.

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]

Navau, C.

F. Gömöry, M. Solovyov, J. Šouc, C. Navau, J. Prat-Camps, and A. Sanchez, “Experimental realization of a magnetic cloak,” Science 335, 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,” Nature 481, 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. 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]

J. B. Pendry, D. Shurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 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,” Science 314, 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,” Science 335, 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,” Science 335, 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,” Science 314, 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,” Science 312, 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,” Science 323, 366–369 (2009).
[CrossRef] [PubMed]

J. B. Pendry, D. Shurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 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,” Science 314, 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,” Science 335, 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,” Science 335, 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,” Science 314, 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. Materials 8, 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. Express 22, 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. Materials 8, 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.

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

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. Materials 8, 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. 10 2, 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.

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. (1)

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

Appl. Phys. Lett. (6)

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]

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. 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. (1)

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. (1)

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. (1)

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. (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).

J. Appl. Phys. (1)

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. (1)

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. (1)

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 (1)

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[CrossRef] [PubMed]

Nat. Commun. (2)

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

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, “An optical cloak made of dielectrics,” Nat. Materials 8, 568–571 (2009).
[CrossRef]

Nature (1)

M. Fridman, A. Farsi, Y. Okawachi, and A. L. Gaeta, “Demonstration of temporal cloaking,” Nature 481, 62–65 (2012).
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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]

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

Opt. Express (7)

Phys. Rev. E (1)

W. X. Jiang and T. J. Cui, “Radar illusion via metamaterials,” Phys. Rev. E 83, 026601 (2011).
[CrossRef]

Phys. Rev. Lett. (8)

S. Zhang, C. Xia, and N. Fang, “Broadband acoustic cloak for ultrasound waves,” Phys. Rev. Lett. 106, 024301 (2011).
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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. 10 2, 093901 (2009).
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F. Yang, Z. L. Mei, T. Y. Jin, and T. J. Cui, “DC electric invisibility cloak,” Phys. Rev. Lett. 109, 053902 (2012).
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[CrossRef]

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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)

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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 )

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