Abstract

Based on the generalized transformation for a nonmagnetic cylindrical concentrator, we present nonlinear coordinate transformations to realize excellent concentrating performance with minimized scattering. By matching the impedance at both the inner and outer boundaries and utilizing nonlinear optimization techniques, the best parameters of the nonlinear transformation can be determined. Results show that the concentrating power is sensitive to the impedance at the inner interface. In addition, an alternating layered system consisting of nonmagnetic isotropic materials is applied to experimentally mimic the concentrator, and excellent concentrating performances have been observed.

© 2013 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
    [CrossRef]
  2. U. Leonhardt, “Optical conformal mapping,” Science 312, 1777–1780 (2006).
    [CrossRef]
  3. 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]
  4. D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14, 9794–9804 (2006).
    [CrossRef]
  5. C. W. Qiu, A. Novitsky, H. Ma, and S. Qu, “Electromagnetic interaction of arbitrary radial-dependent anisotropic spheres and improved invisibility for nonlinear-transformation-based cloaks,” Phys. Rev. E 80, 016604 (2009).
    [CrossRef]
  6. C. W. Qiu, L. Hu, X. Xu, and Y. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E 79, 047602 (2009).
    [CrossRef]
  7. H. Ma, S. Qu, Z. Xu, and J. Wang, “The open cloak,” Appl. Phys. Lett. 94, 103501 (2009).
    [CrossRef]
  8. C. W. Qiu, L. Hu, and S. Zouhdi, “Isotropic non-ideal cloaks providing improved invisibility by adaptive segmentation and optimal refractive index profile from ordering isotropic materials,” Opt. Express 18, 14950–14959 (2010).
    [CrossRef]
  9. J. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101, 203901 (2008).
    [CrossRef]
  10. R. Liu, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323, 366–369 (2009).
    [CrossRef]
  11. 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]
  12. B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisibility cloak for visible light,” Phys. Rev. Lett. 106, 033901 (2011).
    [CrossRef]
  13. D. Liang, J. Gu, J. Han, Y. Yang, S. Zhang, and W. Zhang, “Robust large dimension terahertz cloaking,” Adv. Mat. 24, 916–921 (2012).
    [CrossRef]
  14. H. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 90, 241105 (2007).
    [CrossRef]
  15. K. Zhang, Q. Wu, F.-Y. Meng, and L. W. Li, “Arbitrary waveguide connector based on embedded optical transformation,” Opt. Express 18, 17273–17279 (2010).
    [CrossRef]
  16. H. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Appl. Phys. B 78, 054204 (2008).
  17. M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostr. Fundam. Appl. 6, 87–95 (2008).
    [CrossRef]
  18. W. Wang, L. Lin, J. Ma, C. Wang, J. Cui, C. Du, and X. Luo, “Electromagnetic concentrators with reduced material parameters based on coordinate transformation,” Opt. Express 16, 11431–11437 (2008).
    [CrossRef]
  19. W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008).
    [CrossRef]
  20. A. Pandey and N. M. Litchinitser, “Nonlinear light concentrators,” Opt. Lett. 37, 5238–5240 (2012).
    [CrossRef]
  21. Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (2009).
    [CrossRef]
  22. X. Zang and C. Jiang, “Overlapped optics, illusion optics, and an external cloak based on shifting media,” J. Opt. Soc. Am. B 28, 1994–2000 (2011).
    [CrossRef]
  23. K. Zhang, Q. Wu, J. H. Fu, and L. W. Li, “Cylindrical electromagnetic concentrator with only axial constitutive parameter spatially variant,” J. Opt. Soc. Am. B 28, 1573–1577 (2011).
    [CrossRef]
  24. B. Bian, S. Liu, S. Wang, X. Kong, Y. Guo, X. Zhao, B. Ma, and C. Chen, “Cylindrical optimized nonmagnetic concentrator with minimized scattering,” Opt. Express 21, A231–A240 (2013).
    [CrossRef]
  25. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Nonmagnetic cloak with minimized scattering,” Appl. Phys. Lett. 91, 111105 (2007).
    [CrossRef]
  26. W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93, 021909 (2008).
    [CrossRef]
  27. J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010).
    [CrossRef]
  28. L. Peng, L. Ran, and N. A. Mortensen, “The scattering of a cylindrical invisibility cloak: reduced parameters optimization,” J. Phys. D 44, 135101 (2011).
    [CrossRef]
  29. L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Generalized transformation for nonmagnetic invisibility cloak with minimized scattering,” J. Opt. Soc. Am. B 28, 922–928 (2011).
    [CrossRef]
  30. L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Scattering characteristics of nonmagnetic invisibility cloak with minimized scattering,” Opt. Commun. 284, 5523–5530 (2011).
    [CrossRef]
  31. B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal-dielectric system,” Phys. Rev. B 74, 115116 (2006).
    [CrossRef]
  32. Z. Jacob, L. Alekseyev, and E. Narimanov, “Optical hyperlens: far-field imaging beyond the diffraction limit,” Opt. Express 14, 8247–8256 (2006).
    [CrossRef]

2013 (1)

2012 (2)

A. Pandey and N. M. Litchinitser, “Nonlinear light concentrators,” Opt. Lett. 37, 5238–5240 (2012).
[CrossRef]

D. Liang, J. Gu, J. Han, Y. Yang, S. Zhang, and W. Zhang, “Robust large dimension terahertz cloaking,” Adv. Mat. 24, 916–921 (2012).
[CrossRef]

2011 (7)

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]

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

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Generalized transformation for nonmagnetic invisibility cloak with minimized scattering,” J. Opt. Soc. Am. B 28, 922–928 (2011).
[CrossRef]

K. Zhang, Q. Wu, J. H. Fu, and L. W. Li, “Cylindrical electromagnetic concentrator with only axial constitutive parameter spatially variant,” J. Opt. Soc. Am. B 28, 1573–1577 (2011).
[CrossRef]

X. Zang and C. Jiang, “Overlapped optics, illusion optics, and an external cloak based on shifting media,” J. Opt. Soc. Am. B 28, 1994–2000 (2011).
[CrossRef]

L. Peng, L. Ran, and N. A. Mortensen, “The scattering of a cylindrical invisibility cloak: reduced parameters optimization,” J. Phys. D 44, 135101 (2011).
[CrossRef]

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Scattering characteristics of nonmagnetic invisibility cloak with minimized scattering,” Opt. Commun. 284, 5523–5530 (2011).
[CrossRef]

2010 (3)

2009 (5)

C. W. Qiu, A. Novitsky, H. Ma, and S. Qu, “Electromagnetic interaction of arbitrary radial-dependent anisotropic spheres and improved invisibility for nonlinear-transformation-based cloaks,” Phys. Rev. E 80, 016604 (2009).
[CrossRef]

C. W. Qiu, L. Hu, X. Xu, and Y. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E 79, 047602 (2009).
[CrossRef]

H. Ma, S. Qu, Z. Xu, and J. Wang, “The open cloak,” Appl. Phys. Lett. 94, 103501 (2009).
[CrossRef]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef]

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

2008 (6)

W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93, 021909 (2008).
[CrossRef]

H. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Appl. Phys. B 78, 054204 (2008).

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostr. Fundam. Appl. 6, 87–95 (2008).
[CrossRef]

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008).
[CrossRef]

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

W. Wang, L. Lin, J. Ma, C. Wang, J. Cui, C. Du, and X. Luo, “Electromagnetic concentrators with reduced material parameters based on coordinate transformation,” Opt. Express 16, 11431–11437 (2008).
[CrossRef]

2007 (2)

H. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 90, 241105 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Nonmagnetic cloak with minimized scattering,” Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

2006 (6)

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
[CrossRef]

U. Leonhardt, “Optical conformal mapping,” Science 312, 1777–1780 (2006).
[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).
[CrossRef]

B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal-dielectric system,” Phys. Rev. B 74, 115116 (2006).
[CrossRef]

Z. Jacob, L. Alekseyev, and E. Narimanov, “Optical hyperlens: far-field imaging beyond the diffraction limit,” Opt. Express 14, 8247–8256 (2006).
[CrossRef]

D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14, 9794–9804 (2006).
[CrossRef]

Alekseyev, L.

Barbastathis, G.

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

Bian, B.

Cai, W.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Nonmagnetic cloak with minimized scattering,” Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

Chan, C. T.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef]

H. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Appl. Phys. B 78, 054204 (2008).

H. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 90, 241105 (2007).
[CrossRef]

Chen, C.

Chen, H.

H. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Appl. Phys. B 78, 054204 (2008).

H. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 90, 241105 (2007).
[CrossRef]

Chen, H. Y.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (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]

Chen, X. S.

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Generalized transformation for nonmagnetic invisibility cloak with minimized scattering,” J. Opt. Soc. Am. B 28, 922–928 (2011).
[CrossRef]

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Scattering characteristics of nonmagnetic invisibility cloak with minimized scattering,” Opt. Commun. 284, 5523–5530 (2011).
[CrossRef]

Cheng, Q.

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008).
[CrossRef]

Chettiar, U. K.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Nonmagnetic cloak with minimized scattering,” Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

Chin, J. Y.

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

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008).
[CrossRef]

Cui, J.

Cui, T. J.

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

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008).
[CrossRef]

Cummer, S. A.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostr. Fundam. Appl. 6, 87–95 (2008).
[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).
[CrossRef]

Du, C.

Feng, Y.

C. W. Qiu, L. Hu, X. Xu, and Y. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E 79, 047602 (2009).
[CrossRef]

Fu, J. H.

Gu, J.

D. Liang, J. Gu, J. Han, Y. Yang, S. Zhang, and W. Zhang, “Robust large dimension terahertz cloaking,” Adv. Mat. 24, 916–921 (2012).
[CrossRef]

Guo, Y.

Han, D. Z.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef]

Han, J.

D. Liang, J. Gu, J. Han, Y. Yang, S. Zhang, and W. Zhang, “Robust large dimension terahertz cloaking,” Adv. Mat. 24, 916–921 (2012).
[CrossRef]

Hu, L.

Huang, L. J.

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Scattering characteristics of nonmagnetic invisibility cloak with minimized scattering,” Opt. Commun. 284, 5523–5530 (2011).
[CrossRef]

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Generalized transformation for nonmagnetic invisibility cloak with minimized scattering,” J. Opt. Soc. Am. B 28, 922–928 (2011).
[CrossRef]

Jacob, Z.

Jiang, C.

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]

Jiang, W. X.

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008).
[CrossRef]

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]

Kildishev, A. V.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Nonmagnetic cloak with minimized scattering,” Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

Kong, X.

Lai, Y.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef]

Leonhardt, U.

U. Leonhardt, “Optical conformal mapping,” Science 312, 1777–1780 (2006).
[CrossRef]

Li, J.

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

Li, L. W.

Li, Z. F.

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Generalized transformation for nonmagnetic invisibility cloak with minimized scattering,” J. Opt. Soc. Am. B 28, 922–928 (2011).
[CrossRef]

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Scattering characteristics of nonmagnetic invisibility cloak with minimized scattering,” Opt. Commun. 284, 5523–5530 (2011).
[CrossRef]

Liang, D.

D. Liang, J. Gu, J. Han, Y. Yang, S. Zhang, and W. Zhang, “Robust large dimension terahertz cloaking,” Adv. Mat. 24, 916–921 (2012).
[CrossRef]

Lin, L.

Litchinitser, N. M.

Liu, R.

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

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008).
[CrossRef]

Liu, S.

Liu, X.

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

Lu, W.

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Generalized transformation for nonmagnetic invisibility cloak with minimized scattering,” J. Opt. Soc. Am. B 28, 922–928 (2011).
[CrossRef]

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Scattering characteristics of nonmagnetic invisibility cloak with minimized scattering,” Opt. Commun. 284, 5523–5530 (2011).
[CrossRef]

Luo, X.

Luo, Y.

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

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]

J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010).
[CrossRef]

Ma, B.

Ma, H.

H. Ma, S. Qu, Z. Xu, and J. Wang, “The open cloak,” Appl. Phys. Lett. 94, 103501 (2009).
[CrossRef]

C. W. Qiu, A. Novitsky, H. Ma, and S. Qu, “Electromagnetic interaction of arbitrary radial-dependent anisotropic spheres and improved invisibility for nonlinear-transformation-based cloaks,” Phys. Rev. E 80, 016604 (2009).
[CrossRef]

Ma, J.

Meng, F.-Y.

Mock, J. J.

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

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).
[CrossRef]

Mortensen, N. A.

L. Peng, L. Ran, and N. A. Mortensen, “The scattering of a cylindrical invisibility cloak: reduced parameters optimization,” J. Phys. D 44, 135101 (2011).
[CrossRef]

J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010).
[CrossRef]

Narimanov, E.

Ng, J.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef]

Novitsky, A.

C. W. Qiu, A. Novitsky, H. Ma, and S. Qu, “Electromagnetic interaction of arbitrary radial-dependent anisotropic spheres and improved invisibility for nonlinear-transformation-based cloaks,” Phys. Rev. E 80, 016604 (2009).
[CrossRef]

Pandey, A.

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]

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

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostr. Fundam. Appl. 6, 87–95 (2008).
[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
[CrossRef]

B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal-dielectric system,” Phys. Rev. B 74, 115116 (2006).
[CrossRef]

D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14, 9794–9804 (2006).
[CrossRef]

Peng, L.

L. Peng, L. Ran, and N. A. Mortensen, “The scattering of a cylindrical invisibility cloak: reduced parameters optimization,” J. Phys. D 44, 135101 (2011).
[CrossRef]

Qiu, C. W.

C. W. Qiu, L. Hu, and S. Zouhdi, “Isotropic non-ideal cloaks providing improved invisibility by adaptive segmentation and optimal refractive index profile from ordering isotropic materials,” Opt. Express 18, 14950–14959 (2010).
[CrossRef]

C. W. Qiu, L. Hu, X. Xu, and Y. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E 79, 047602 (2009).
[CrossRef]

C. W. Qiu, A. Novitsky, H. Ma, and S. Qu, “Electromagnetic interaction of arbitrary radial-dependent anisotropic spheres and improved invisibility for nonlinear-transformation-based cloaks,” Phys. Rev. E 80, 016604 (2009).
[CrossRef]

Qiu, M.

W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93, 021909 (2008).
[CrossRef]

Qu, S.

C. W. Qiu, A. Novitsky, H. Ma, and S. Qu, “Electromagnetic interaction of arbitrary radial-dependent anisotropic spheres and improved invisibility for nonlinear-transformation-based cloaks,” Phys. Rev. E 80, 016604 (2009).
[CrossRef]

H. Ma, S. Qu, Z. Xu, and J. Wang, “The open cloak,” Appl. Phys. Lett. 94, 103501 (2009).
[CrossRef]

Rahm, M.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostr. Fundam. Appl. 6, 87–95 (2008).
[CrossRef]

Ran, L.

L. Peng, L. Ran, and N. A. Mortensen, “The scattering of a cylindrical invisibility cloak: reduced parameters optimization,” J. Phys. D 44, 135101 (2011).
[CrossRef]

Roberts, D. A.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostr. Fundam. Appl. 6, 87–95 (2008).
[CrossRef]

Schurig, D.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostr. Fundam. Appl. 6, 87–95 (2008).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).
[CrossRef]

D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14, 9794–9804 (2006).
[CrossRef]

Shalaev, V. M.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Nonmagnetic cloak with minimized scattering,” Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

Smith, D. R.

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

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008).
[CrossRef]

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostr. Fundam. Appl. 6, 87–95 (2008).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).
[CrossRef]

D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14, 9794–9804 (2006).
[CrossRef]

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]

Tsai, D. P.

B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal-dielectric system,” Phys. Rev. B 74, 115116 (2006).
[CrossRef]

Wang, C.

Wang, J.

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Scattering characteristics of nonmagnetic invisibility cloak with minimized scattering,” Opt. Commun. 284, 5523–5530 (2011).
[CrossRef]

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Generalized transformation for nonmagnetic invisibility cloak with minimized scattering,” J. Opt. Soc. Am. B 28, 922–928 (2011).
[CrossRef]

H. Ma, S. Qu, Z. Xu, and J. Wang, “The open cloak,” Appl. Phys. Lett. 94, 103501 (2009).
[CrossRef]

Wang, S.

Wang, W.

Wood, B.

B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal-dielectric system,” Phys. Rev. B 74, 115116 (2006).
[CrossRef]

Wu, Q.

Xiao, J. J.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef]

Xu, X.

C. W. Qiu, L. Hu, X. Xu, and Y. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E 79, 047602 (2009).
[CrossRef]

Xu, Z.

H. Ma, S. Qu, Z. Xu, and J. Wang, “The open cloak,” Appl. Phys. Lett. 94, 103501 (2009).
[CrossRef]

Yan, M.

W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93, 021909 (2008).
[CrossRef]

Yan, W.

W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93, 021909 (2008).
[CrossRef]

Yang, X. M.

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008).
[CrossRef]

Yang, Y.

D. Liang, J. Gu, J. Han, Y. Yang, S. Zhang, and W. Zhang, “Robust large dimension terahertz cloaking,” Adv. Mat. 24, 916–921 (2012).
[CrossRef]

Zang, X.

Zhang, B.

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

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]

J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010).
[CrossRef]

Zhang, K.

Zhang, S.

D. Liang, J. Gu, J. Han, Y. Yang, S. Zhang, and W. Zhang, “Robust large dimension terahertz cloaking,” Adv. Mat. 24, 916–921 (2012).
[CrossRef]

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]

Zhang, W.

D. Liang, J. Gu, J. Han, Y. Yang, S. Zhang, and W. Zhang, “Robust large dimension terahertz cloaking,” Adv. Mat. 24, 916–921 (2012).
[CrossRef]

Zhang, Z.-Q.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef]

Zhao, X.

Zhou, D. M.

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Generalized transformation for nonmagnetic invisibility cloak with minimized scattering,” J. Opt. Soc. Am. B 28, 922–928 (2011).
[CrossRef]

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Scattering characteristics of nonmagnetic invisibility cloak with minimized scattering,” Opt. Commun. 284, 5523–5530 (2011).
[CrossRef]

Zouhdi, S.

Adv. Mat. (1)

D. Liang, J. Gu, J. Han, Y. Yang, S. Zhang, and W. Zhang, “Robust large dimension terahertz cloaking,” Adv. Mat. 24, 916–921 (2012).
[CrossRef]

Appl. Phys. B (1)

H. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Appl. Phys. B 78, 054204 (2008).

Appl. Phys. Lett. (6)

H. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 90, 241105 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Nonmagnetic cloak with minimized scattering,” Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93, 021909 (2008).
[CrossRef]

J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010).
[CrossRef]

H. Ma, S. Qu, Z. Xu, and J. Wang, “The open cloak,” Appl. Phys. Lett. 94, 103501 (2009).
[CrossRef]

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008).
[CrossRef]

J. Opt. Soc. Am. B (3)

J. Phys. D (1)

L. Peng, L. Ran, and N. A. Mortensen, “The scattering of a cylindrical invisibility cloak: reduced parameters optimization,” J. Phys. D 44, 135101 (2011).
[CrossRef]

Nat. Commun. (1)

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]

Opt. Commun. (1)

L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Scattering characteristics of nonmagnetic invisibility cloak with minimized scattering,” Opt. Commun. 284, 5523–5530 (2011).
[CrossRef]

Opt. Express (6)

Opt. Lett. (1)

Photon. Nanostr. Fundam. Appl. (1)

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostr. Fundam. Appl. 6, 87–95 (2008).
[CrossRef]

Phys. Rev. B (1)

B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal-dielectric system,” Phys. Rev. B 74, 115116 (2006).
[CrossRef]

Phys. Rev. E (2)

C. W. Qiu, A. Novitsky, H. Ma, and S. Qu, “Electromagnetic interaction of arbitrary radial-dependent anisotropic spheres and improved invisibility for nonlinear-transformation-based cloaks,” Phys. Rev. E 80, 016604 (2009).
[CrossRef]

C. W. Qiu, L. Hu, X. Xu, and Y. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E 79, 047602 (2009).
[CrossRef]

Phys. Rev. Lett. (3)

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

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

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef]

Science (4)

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

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
[CrossRef]

U. Leonhardt, “Optical conformal mapping,” Science 312, 1777–1780 (2006).
[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).
[CrossRef]

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 (8)

Fig. 1.
Fig. 1.

Schematic of the cylindrical concentrator.

Fig. 2.
Fig. 2.

Coordinate transformations, (a) linear transformation, (b) nonlinear transformation with h=2/3, and (c) nonlinear transformation with h=1.

Fig. 3.
Fig. 3.

Magnetic field distributions for (a) an ideal linear concentrator, (b) a linear nonmagnetic concentrator, (c) a nonlinear concentrator with h=2/3, and (d) a nonlinear concentrator with h=1.

Fig. 4.
Fig. 4.

Scattered magnetic field patterns for (a) the ideal linear concentrator, (b) linear nonmagnetic concentrator, (c) nonlinear concentrator with h=2/3, and (d) nonlinear concentrator with h=1.

Fig. 5.
Fig. 5.

Coordinate transformations with different impedance at the inner boundary.

Fig. 6.
Fig. 6.

Dependence of concentrating power in the core region on the impedance at the inner boundary.

Fig. 7.
Fig. 7.

Constitutive parameters of the two nonmagnetic concentrators with (a) h=2/3 and (b) h=1.

Fig. 8.
Fig. 8.

Magnetic field distributions for (a) layered nonmagnetic concentrator with h=2/3 and (b) layered nonmagnetic concentrator with h=1.

Equations (14)

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

εr=(r/r)g(r)/r,
εθ=1/εr,
μz=(r/r)[g(r)/r]1.
εr=(r/r)2,
εθ=[g(r)/r]2,
μz=1.
r=gcore(r)=(c/a)r0<r<c,
r=gshell(r)=[(bc)/(ba)](ra)+cc<r<b.
gshell(b)=bgshell(a)=cgshell(r)/r|r=b=1gcore(0)=0gcore(a)=cgshell(r)/r|r=a=gcore(r)/r|r=a=h,
r=gcore(r)=[(c/a)+q(ra)]r0<r<cr=gshell(r)=[(bc)/(ba)+p(rb)+k(rb)2](ra)+cc<r<b.
p=(ca)/(ba)2k=[h(ca)+2cba]/(ba)3q=(hac)/a2.
r=gcore1(r)=qac/a+(c/aqa)2+4qr/2q.
r=gshell1(r)=i=1Naiebir.
Pcore=12core[Re(HzEx*)]2+[Re(HzEy*)]2dS.

Metrics