Abstract

Using coordinate transformation stated earlier by Pendry et al. [Science 312, 1780 (2006)], we investigate the two-dimensional elliptical electromagnetic superscatterer and superabsorber, based on the concept of complementary media. Such an elliptical electromagnetic superscatterer (or superabsorber) is realized by coating an elliptical negative refractive material shell. The effectiveness of the elliptical electromagnetic superscatterer and superabsorber designs is verified by finite element simulations. The proposed design provides a more practical superscatterer (or superabsorber) geometry when compared to previous designs with axial and radial symmetries. Our results can be extended to an arbitrarily shaped electromagnetic superscatterer and superabsorber.

© 2010 OSA

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  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(5801), 977–980 (2006).
    [CrossRef] [PubMed]
  4. U. Leonhardt, “Optical conformal mapping,” Science 312(5781), 1777–1780 (2006).
    [CrossRef] [PubMed]
  5. D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14(21), 9794–9804 (2006).
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  6. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterial,” Nat. Photonics 1(4), 224–227 (2007).
    [CrossRef]
  7. F. Zolla, S. Guenneau, A. Nicolet, and J. B. Pendry, “Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect,” Opt. Lett. 32(9), 1069–1071 (2007).
    [CrossRef] [PubMed]
  8. H. S. Chen, B.-I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99, 113903 (2007).
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    [CrossRef] [PubMed]
  10. Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, “Ideal cylindrical cloak: perfect but sensitive to tiny perturbations,” Phys. Rev. Lett. 99(11), 113903 (2007).
    [CrossRef] [PubMed]
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    [CrossRef]
  12. X. Zhou and G. K. Hu, “Acoustic wave transparency for a multilayered sphere with acoustic metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 75(4), 046606 (2007).
    [CrossRef] [PubMed]
  13. H. Y. Chen and C. T. Chan, “Acoustic cloaking in three dimensions using acoustic metamaterials,” Appl. Phys. Lett. 91(18), 183518 (2007).
    [CrossRef]
  14. H. Y. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 91, 183518 (2007).
    [CrossRef]
  15. A. Nicolet, F. Zolla, and S. Guenneau, “Electromagnetic analysis of cylindrical cloaks of an arbitrary cross section,” Opt. Lett. 33(14), 1584 (2008).
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  16. D.-H. Kwon and D. H. Werner, “Two-dimensional eccentric elliptic electromagnetic cloak,” Appl. Phys. Lett. 92(1), 013505 (2008).
    [CrossRef]
  17. D.-H. Kwon and D. H. Werner, “Two-dimensional electromagnetic cloak having a uniform thickness for elliptic cylindrical regions,” Appl. Phys. Lett. 92(11), 113502 (2008).
    [CrossRef]
  18. P. Zhang, Y. Jin, and S. He, “Obtaining a nonsingular two-dimensional cloak,” Appl. Phys. Lett. 93(24), 243502 (2008).
    [CrossRef]
  19. H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, “Material parameter equation for elliptical cylindrical cloaks,” Phys. Rev. A 77(1), 013825 (2008).
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  20. S. Zhang, D. A. Genov, C. Sun, and X. Zhang, “Cloaking of matter waves,” Phys. Rev. Lett. 100(12), 123002 (2008).
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  21. P. Yao, Z. Liang, and X. Jiang, “Limitations of the electromagnetic cloak with dispersive material,” Appl. Phys. Lett. 92(3), 031111 (2008).
    [CrossRef]
  22. W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92(26), 264101 (2008).
    [CrossRef]
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    [CrossRef]
  25. Z. Liang, P. Yao, X. Sun, and X. Jiang, “The physical picture and the essential elements of the dynamical process for dispersive cloaking structures,” Appl. Phys. Lett. 92(13), 131113 (2008).
    [CrossRef]
  26. J. Hu, X. M. Zhou, and G. K. Hu, “Nonsingular two dimensional cloak of arbitrary shape,” Appl. Phys. Lett. 95(1), 011107 (2009).
    [CrossRef]
  27. X. F. Xu, Y. Feng, Y. Hao, J. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
    [CrossRef]
  28. C. W. Qiu, L. Hu, B. Zhang, B. I. Wu, S. G. Johnson, and J. D. Joannopoulos, “Spherical cloaking using nonlinear transformations for improved segmentation into concentric isotropic coatings,” Opt. Express 17(16), 13467–13478 (2009).
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  29. T. Yang, H. Y. Chen, X. Luo, and H. Ma, “Superscatterer: enhancement of scattering with complementary media,” Opt. Express 16(22), 18545–18550 (2008).
    [CrossRef] [PubMed]
  30. J. Ng, H. Y. Chen, and C. T. Chan, “Metamaterial frequency-selective superabsorber,” Opt. Lett. 34(5), 644–646 (2009).
    [CrossRef] [PubMed]
  31. Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell,” Phys. Rev. Lett. 102(9), 093901 (2009).
    [CrossRef] [PubMed]
  32. Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).
    [CrossRef] [PubMed]
  33. H. Y. Chen and C. T. Chan, ““Cloaking at a distance” from folded geometries in bipolar coordinates,” Opt. Lett. 34(17), 2649–2651 (2009).
    [CrossRef] [PubMed]
  34. H. Y. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “reshaping the perfect electrical conductor cylinder arbitrarily,” N. J. Phys. 10(11), 113016 (2008).
    [CrossRef]
  35. D.-H. Kwon, “Virtual circular array using material-embedded linear source distributions,” Appl. Phys. Lett. 95(17), 173503 (2009).
    [CrossRef]
  36. Y. Luo, J. Zhang, H. Chen, J. Huangfu, and L. Ran, “High-directivity antenna with small antenna aperture,” Appl. Phys. Lett. 95(19), 193506 (2009).
    [CrossRef]

2009 (9)

J. Hu, X. M. Zhou, and G. K. Hu, “Nonsingular two dimensional cloak of arbitrary shape,” Appl. Phys. Lett. 95(1), 011107 (2009).
[CrossRef]

X. F. Xu, Y. Feng, Y. Hao, J. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

C. W. Qiu, L. Hu, B. Zhang, B. I. Wu, S. G. Johnson, and J. D. Joannopoulos, “Spherical cloaking using nonlinear transformations for improved segmentation into concentric isotropic coatings,” Opt. Express 17(16), 13467–13478 (2009).
[CrossRef] [PubMed]

J. Ng, H. Y. Chen, and C. T. Chan, “Metamaterial frequency-selective superabsorber,” Opt. Lett. 34(5), 644–646 (2009).
[CrossRef] [PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell,” Phys. Rev. Lett. 102(9), 093901 (2009).
[CrossRef] [PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).
[CrossRef] [PubMed]

H. Y. Chen and C. T. Chan, ““Cloaking at a distance” from folded geometries in bipolar coordinates,” Opt. Lett. 34(17), 2649–2651 (2009).
[CrossRef] [PubMed]

D.-H. Kwon, “Virtual circular array using material-embedded linear source distributions,” Appl. Phys. Lett. 95(17), 173503 (2009).
[CrossRef]

Y. Luo, J. Zhang, H. Chen, J. Huangfu, and L. Ran, “High-directivity antenna with small antenna aperture,” Appl. Phys. Lett. 95(19), 193506 (2009).
[CrossRef]

2008 (14)

H. Y. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “reshaping the perfect electrical conductor cylinder arbitrarily,” N. J. Phys. 10(11), 113016 (2008).
[CrossRef]

T. Yang, H. Y. Chen, X. Luo, and H. Ma, “Superscatterer: enhancement of scattering with complementary media,” Opt. Express 16(22), 18545–18550 (2008).
[CrossRef] [PubMed]

B. L. Zhang, H. Chen, B. I. Wu, and J. A. Kong, “Extraordinary surface voltage effect in the invisibility cloak with an active device inside,” Phys. Rev. Lett. 100(6), 063904 (2008).
[CrossRef] [PubMed]

A. Nicolet, F. Zolla, and S. Guenneau, “Electromagnetic analysis of cylindrical cloaks of an arbitrary cross section,” Opt. Lett. 33(14), 1584 (2008).
[CrossRef] [PubMed]

D.-H. Kwon and D. H. Werner, “Two-dimensional eccentric elliptic electromagnetic cloak,” Appl. Phys. Lett. 92(1), 013505 (2008).
[CrossRef]

D.-H. Kwon and D. H. Werner, “Two-dimensional electromagnetic cloak having a uniform thickness for elliptic cylindrical regions,” Appl. Phys. Lett. 92(11), 113502 (2008).
[CrossRef]

P. Zhang, Y. Jin, and S. He, “Obtaining a nonsingular two-dimensional cloak,” Appl. Phys. Lett. 93(24), 243502 (2008).
[CrossRef]

H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, “Material parameter equation for elliptical cylindrical cloaks,” Phys. Rev. A 77(1), 013825 (2008).
[CrossRef]

S. Zhang, D. A. Genov, C. Sun, and X. Zhang, “Cloaking of matter waves,” Phys. Rev. Lett. 100(12), 123002 (2008).
[CrossRef] [PubMed]

P. Yao, Z. Liang, and X. Jiang, “Limitations of the electromagnetic cloak with dispersive material,” Appl. Phys. Lett. 92(3), 031111 (2008).
[CrossRef]

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92(26), 264101 (2008).
[CrossRef]

C. Li and F. Li, “Two-dimensional electromagnetic cloaks with arbitrary geometries,” Opt. Express 16(17), 13414–13420 (2008).
[CrossRef] [PubMed]

C. Li, K. Yao, and F. Li, “Two-dimensional electromagnetic cloaks with non-conformal inner and outer boundaries,” Opt. Express 16(23), 19366–19374 (2008).
[CrossRef]

Z. Liang, P. Yao, X. Sun, and X. Jiang, “The physical picture and the essential elements of the dynamical process for dispersive cloaking structures,” Appl. Phys. Lett. 92(13), 131113 (2008).
[CrossRef]

2007 (8)

Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, “Ideal cylindrical cloak: perfect but sensitive to tiny perturbations,” Phys. Rev. Lett. 99(11), 113903 (2007).
[CrossRef] [PubMed]

M. Yan, Z. C. Ruan, and M. Qiu, “Cylindrical invisibility cloak with simplified material parameters is inherently visible,” Phys. Rev. Lett. 99(23), 233901 (2007).
[CrossRef]

X. Zhou and G. K. Hu, “Acoustic wave transparency for a multilayered sphere with acoustic metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 75(4), 046606 (2007).
[CrossRef] [PubMed]

H. Y. Chen and C. T. Chan, “Acoustic cloaking in three dimensions using acoustic metamaterials,” Appl. Phys. Lett. 91(18), 183518 (2007).
[CrossRef]

H. Y. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 91, 183518 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterial,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

F. Zolla, S. Guenneau, A. Nicolet, and J. B. Pendry, “Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect,” Opt. Lett. 32(9), 1069–1071 (2007).
[CrossRef] [PubMed]

H. S. Chen, B.-I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99, 113903 (2007).

2006 (4)

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 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(5801), 977–980 (2006).
[CrossRef] [PubMed]

U. Leonhardt, “Optical conformal mapping,” Science 312(5781), 1777–1780 (2006).
[CrossRef] [PubMed]

D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14(21), 9794–9804 (2006).
[CrossRef] [PubMed]

2005 (1)

A. Alù and N. Engheta, “Achieving transparency with plasmonic and metamaterial coatings,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72(1), 016623 (2005).
[CrossRef] [PubMed]

Alù, A.

A. Alù and N. Engheta, “Achieving transparency with plasmonic and metamaterial coatings,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72(1), 016623 (2005).
[CrossRef] [PubMed]

Cai, W.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterial,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

Chan, C. T.

J. Ng, H. Y. Chen, and C. T. Chan, “Metamaterial frequency-selective superabsorber,” Opt. Lett. 34(5), 644–646 (2009).
[CrossRef] [PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell,” Phys. Rev. Lett. 102(9), 093901 (2009).
[CrossRef] [PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).
[CrossRef] [PubMed]

H. Y. Chen and C. T. Chan, ““Cloaking at a distance” from folded geometries in bipolar coordinates,” Opt. Lett. 34(17), 2649–2651 (2009).
[CrossRef] [PubMed]

H. Y. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “reshaping the perfect electrical conductor cylinder arbitrarily,” N. J. Phys. 10(11), 113016 (2008).
[CrossRef]

H. Y. Chen and C. T. Chan, “Acoustic cloaking in three dimensions using acoustic metamaterials,” Appl. Phys. Lett. 91(18), 183518 (2007).
[CrossRef]

H. Y. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 91, 183518 (2007).
[CrossRef]

Chen, B.

H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, “Material parameter equation for elliptical cylindrical cloaks,” Phys. Rev. A 77(1), 013825 (2008).
[CrossRef]

Chen, H.

Y. Luo, J. Zhang, H. Chen, J. Huangfu, and L. Ran, “High-directivity antenna with small antenna aperture,” Appl. Phys. Lett. 95(19), 193506 (2009).
[CrossRef]

B. L. Zhang, H. Chen, B. I. Wu, and J. A. Kong, “Extraordinary surface voltage effect in the invisibility cloak with an active device inside,” Phys. Rev. Lett. 100(6), 063904 (2008).
[CrossRef] [PubMed]

Chen, H. S.

H. S. Chen, B.-I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99, 113903 (2007).

Chen, H. Y.

H. Y. Chen and C. T. Chan, ““Cloaking at a distance” from folded geometries in bipolar coordinates,” Opt. Lett. 34(17), 2649–2651 (2009).
[CrossRef] [PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell,” Phys. Rev. Lett. 102(9), 093901 (2009).
[CrossRef] [PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).
[CrossRef] [PubMed]

J. Ng, H. Y. Chen, and C. T. Chan, “Metamaterial frequency-selective superabsorber,” Opt. Lett. 34(5), 644–646 (2009).
[CrossRef] [PubMed]

T. Yang, H. Y. Chen, X. Luo, and H. Ma, “Superscatterer: enhancement of scattering with complementary media,” Opt. Express 16(22), 18545–18550 (2008).
[CrossRef] [PubMed]

H. Y. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “reshaping the perfect electrical conductor cylinder arbitrarily,” N. J. Phys. 10(11), 113016 (2008).
[CrossRef]

H. Y. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 91, 183518 (2007).
[CrossRef]

H. Y. Chen and C. T. Chan, “Acoustic cloaking in three dimensions using acoustic metamaterials,” Appl. Phys. Lett. 91(18), 183518 (2007).
[CrossRef]

Cheng, Q.

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92(26), 264101 (2008).
[CrossRef]

Chettiar, U. K.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterial,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

Chin, J. Y.

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92(26), 264101 (2008).
[CrossRef]

Cui, T. J.

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92(26), 264101 (2008).
[CrossRef]

Cummer, S. A.

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Engheta, N.

A. Alù and N. Engheta, “Achieving transparency with plasmonic and metamaterial coatings,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72(1), 016623 (2005).
[CrossRef] [PubMed]

Feng, Y.

X. F. Xu, Y. Feng, Y. Hao, J. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

Genov, D. A.

S. Zhang, D. A. Genov, C. Sun, and X. Zhang, “Cloaking of matter waves,” Phys. Rev. Lett. 100(12), 123002 (2008).
[CrossRef] [PubMed]

Guenneau, S.

Han, D. Z.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).
[CrossRef] [PubMed]

Hao, Y.

X. F. Xu, Y. Feng, Y. Hao, J. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

He, S.

P. Zhang, Y. Jin, and S. He, “Obtaining a nonsingular two-dimensional cloak,” Appl. Phys. Lett. 93(24), 243502 (2008).
[CrossRef]

Hu, G. K.

J. Hu, X. M. Zhou, and G. K. Hu, “Nonsingular two dimensional cloak of arbitrary shape,” Appl. Phys. Lett. 95(1), 011107 (2009).
[CrossRef]

X. Zhou and G. K. Hu, “Acoustic wave transparency for a multilayered sphere with acoustic metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 75(4), 046606 (2007).
[CrossRef] [PubMed]

Hu, J.

J. Hu, X. M. Zhou, and G. K. Hu, “Nonsingular two dimensional cloak of arbitrary shape,” Appl. Phys. Lett. 95(1), 011107 (2009).
[CrossRef]

Hu, L.

Huangfu, J.

Y. Luo, J. Zhang, H. Chen, J. Huangfu, and L. Ran, “High-directivity antenna with small antenna aperture,” Appl. Phys. Lett. 95(19), 193506 (2009).
[CrossRef]

Jiang, T.

X. F. Xu, Y. Feng, Y. Hao, J. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

Jiang, W. X.

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92(26), 264101 (2008).
[CrossRef]

Jiang, X.

P. Yao, Z. Liang, and X. Jiang, “Limitations of the electromagnetic cloak with dispersive material,” Appl. Phys. Lett. 92(3), 031111 (2008).
[CrossRef]

Z. Liang, P. Yao, X. Sun, and X. Jiang, “The physical picture and the essential elements of the dynamical process for dispersive cloaking structures,” Appl. Phys. Lett. 92(13), 131113 (2008).
[CrossRef]

Jin, Y.

P. Zhang, Y. Jin, and S. He, “Obtaining a nonsingular two-dimensional cloak,” Appl. Phys. Lett. 93(24), 243502 (2008).
[CrossRef]

Joannopoulos, J. D.

Johnson, S. G.

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Kildishev, A. V.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterial,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

Kong, J. A.

B. L. Zhang, H. Chen, B. I. Wu, and J. A. Kong, “Extraordinary surface voltage effect in the invisibility cloak with an active device inside,” Phys. Rev. Lett. 100(6), 063904 (2008).
[CrossRef] [PubMed]

H. S. Chen, B.-I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99, 113903 (2007).

Kwon, D.-H.

D.-H. Kwon, “Virtual circular array using material-embedded linear source distributions,” Appl. Phys. Lett. 95(17), 173503 (2009).
[CrossRef]

D.-H. Kwon and D. H. Werner, “Two-dimensional electromagnetic cloak having a uniform thickness for elliptic cylindrical regions,” Appl. Phys. Lett. 92(11), 113502 (2008).
[CrossRef]

D.-H. Kwon and D. H. Werner, “Two-dimensional eccentric elliptic electromagnetic cloak,” Appl. Phys. Lett. 92(1), 013505 (2008).
[CrossRef]

Lai, Y.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).
[CrossRef] [PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell,” Phys. Rev. Lett. 102(9), 093901 (2009).
[CrossRef] [PubMed]

Leonhardt, U.

U. Leonhardt, “Optical conformal mapping,” Science 312(5781), 1777–1780 (2006).
[CrossRef] [PubMed]

Li, C.

Li, F.

Liang, Z.

Z. Liang, P. Yao, X. Sun, and X. Jiang, “The physical picture and the essential elements of the dynamical process for dispersive cloaking structures,” Appl. Phys. Lett. 92(13), 131113 (2008).
[CrossRef]

P. Yao, Z. Liang, and X. Jiang, “Limitations of the electromagnetic cloak with dispersive material,” Appl. Phys. Lett. 92(3), 031111 (2008).
[CrossRef]

Liu, R.

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92(26), 264101 (2008).
[CrossRef]

Luo, X.

T. Yang, H. Y. Chen, X. Luo, and H. Ma, “Superscatterer: enhancement of scattering with complementary media,” Opt. Express 16(22), 18545–18550 (2008).
[CrossRef] [PubMed]

H. Y. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “reshaping the perfect electrical conductor cylinder arbitrarily,” N. J. Phys. 10(11), 113016 (2008).
[CrossRef]

Luo, Y.

Y. Luo, J. Zhang, H. Chen, J. Huangfu, and L. Ran, “High-directivity antenna with small antenna aperture,” Appl. Phys. Lett. 95(19), 193506 (2009).
[CrossRef]

Ma, H.

H. Y. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “reshaping the perfect electrical conductor cylinder arbitrarily,” N. J. Phys. 10(11), 113016 (2008).
[CrossRef]

T. Yang, H. Y. Chen, X. Luo, and H. Ma, “Superscatterer: enhancement of scattering with complementary media,” Opt. Express 16(22), 18545–18550 (2008).
[CrossRef] [PubMed]

H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, “Material parameter equation for elliptical cylindrical cloaks,” Phys. Rev. A 77(1), 013825 (2008).
[CrossRef]

Mock, J. 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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Neff, C. W.

Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, “Ideal cylindrical cloak: perfect but sensitive to tiny perturbations,” Phys. Rev. Lett. 99(11), 113903 (2007).
[CrossRef] [PubMed]

Ng, J.

J. Ng, H. Y. Chen, and C. T. Chan, “Metamaterial frequency-selective superabsorber,” Opt. Lett. 34(5), 644–646 (2009).
[CrossRef] [PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).
[CrossRef] [PubMed]

Nicolet, A.

Pendry, J. B.

F. Zolla, S. Guenneau, A. Nicolet, and J. B. Pendry, “Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect,” Opt. Lett. 32(9), 1069–1071 (2007).
[CrossRef] [PubMed]

D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14(21), 9794–9804 (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(5801), 977–980 (2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

Qiu, C. W.

Qiu, M.

Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, “Ideal cylindrical cloak: perfect but sensitive to tiny perturbations,” Phys. Rev. Lett. 99(11), 113903 (2007).
[CrossRef] [PubMed]

M. Yan, Z. C. Ruan, and M. Qiu, “Cylindrical invisibility cloak with simplified material parameters is inherently visible,” Phys. Rev. Lett. 99(23), 233901 (2007).
[CrossRef]

Qu, S.

H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, “Material parameter equation for elliptical cylindrical cloaks,” Phys. Rev. A 77(1), 013825 (2008).
[CrossRef]

Ran, L.

Y. Luo, J. Zhang, H. Chen, J. Huangfu, and L. Ran, “High-directivity antenna with small antenna aperture,” Appl. Phys. Lett. 95(19), 193506 (2009).
[CrossRef]

Ruan, Z.

Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, “Ideal cylindrical cloak: perfect but sensitive to tiny perturbations,” Phys. Rev. Lett. 99(11), 113903 (2007).
[CrossRef] [PubMed]

Ruan, Z. C.

M. Yan, Z. C. Ruan, and M. Qiu, “Cylindrical invisibility cloak with simplified material parameters is inherently visible,” Phys. Rev. Lett. 99(23), 233901 (2007).
[CrossRef]

Schurig, D.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 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(5801), 977–980 (2006).
[CrossRef] [PubMed]

D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14(21), 9794–9804 (2006).
[CrossRef] [PubMed]

Shalaev, V. M.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterial,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

Smith, D. R.

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express 14(21), 9794–9804 (2006).
[CrossRef] [PubMed]

Smith, R.

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92(26), 264101 (2008).
[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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Sun, C.

S. Zhang, D. A. Genov, C. Sun, and X. Zhang, “Cloaking of matter waves,” Phys. Rev. Lett. 100(12), 123002 (2008).
[CrossRef] [PubMed]

Sun, X.

Z. Liang, P. Yao, X. Sun, and X. Jiang, “The physical picture and the essential elements of the dynamical process for dispersive cloaking structures,” Appl. Phys. Lett. 92(13), 131113 (2008).
[CrossRef]

Wang, J.

H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, “Material parameter equation for elliptical cylindrical cloaks,” Phys. Rev. A 77(1), 013825 (2008).
[CrossRef]

Werner, D. H.

D.-H. Kwon and D. H. Werner, “Two-dimensional eccentric elliptic electromagnetic cloak,” Appl. Phys. Lett. 92(1), 013505 (2008).
[CrossRef]

D.-H. Kwon and D. H. Werner, “Two-dimensional electromagnetic cloak having a uniform thickness for elliptic cylindrical regions,” Appl. Phys. Lett. 92(11), 113502 (2008).
[CrossRef]

Wu, B. I.

C. W. Qiu, L. Hu, B. Zhang, B. I. Wu, S. G. Johnson, and J. D. Joannopoulos, “Spherical cloaking using nonlinear transformations for improved segmentation into concentric isotropic coatings,” Opt. Express 17(16), 13467–13478 (2009).
[CrossRef] [PubMed]

B. L. Zhang, H. Chen, B. I. Wu, and J. A. Kong, “Extraordinary surface voltage effect in the invisibility cloak with an active device inside,” Phys. Rev. Lett. 100(6), 063904 (2008).
[CrossRef] [PubMed]

Wu, B.-I.

H. S. Chen, B.-I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99, 113903 (2007).

Xiao, J.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).
[CrossRef] [PubMed]

Xu, X. F.

X. F. Xu, Y. Feng, Y. Hao, J. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

Xu, Z.

H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, “Material parameter equation for elliptical cylindrical cloaks,” Phys. Rev. A 77(1), 013825 (2008).
[CrossRef]

Yan, M.

Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, “Ideal cylindrical cloak: perfect but sensitive to tiny perturbations,” Phys. Rev. Lett. 99(11), 113903 (2007).
[CrossRef] [PubMed]

M. Yan, Z. C. Ruan, and M. Qiu, “Cylindrical invisibility cloak with simplified material parameters is inherently visible,” Phys. Rev. Lett. 99(23), 233901 (2007).
[CrossRef]

Yang, T.

Yang, X. M.

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92(26), 264101 (2008).
[CrossRef]

Yao, K.

Yao, P.

P. Yao, Z. Liang, and X. Jiang, “Limitations of the electromagnetic cloak with dispersive material,” Appl. Phys. Lett. 92(3), 031111 (2008).
[CrossRef]

Z. Liang, P. Yao, X. Sun, and X. Jiang, “The physical picture and the essential elements of the dynamical process for dispersive cloaking structures,” Appl. Phys. Lett. 92(13), 131113 (2008).
[CrossRef]

Zhang, B.

Zhang, B. L.

B. L. Zhang, H. Chen, B. I. Wu, and J. A. Kong, “Extraordinary surface voltage effect in the invisibility cloak with an active device inside,” Phys. Rev. Lett. 100(6), 063904 (2008).
[CrossRef] [PubMed]

H. S. Chen, B.-I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99, 113903 (2007).

Zhang, J.

Y. Luo, J. Zhang, H. Chen, J. Huangfu, and L. Ran, “High-directivity antenna with small antenna aperture,” Appl. Phys. Lett. 95(19), 193506 (2009).
[CrossRef]

H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, “Material parameter equation for elliptical cylindrical cloaks,” Phys. Rev. A 77(1), 013825 (2008).
[CrossRef]

Zhang, P.

P. Zhang, Y. Jin, and S. He, “Obtaining a nonsingular two-dimensional cloak,” Appl. Phys. Lett. 93(24), 243502 (2008).
[CrossRef]

Zhang, S.

S. Zhang, D. A. Genov, C. Sun, and X. Zhang, “Cloaking of matter waves,” Phys. Rev. Lett. 100(12), 123002 (2008).
[CrossRef] [PubMed]

Zhang, X.

S. Zhang, D. A. Genov, C. Sun, and X. Zhang, “Cloaking of matter waves,” Phys. Rev. Lett. 100(12), 123002 (2008).
[CrossRef] [PubMed]

H. Y. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “reshaping the perfect electrical conductor cylinder arbitrarily,” N. J. Phys. 10(11), 113016 (2008).
[CrossRef]

Zhang, Z. Q.

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).
[CrossRef] [PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell,” Phys. Rev. Lett. 102(9), 093901 (2009).
[CrossRef] [PubMed]

Zhao, J.

X. F. Xu, Y. Feng, Y. Hao, J. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

Zhou, X.

X. Zhou and G. K. Hu, “Acoustic wave transparency for a multilayered sphere with acoustic metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 75(4), 046606 (2007).
[CrossRef] [PubMed]

Zhou, X. M.

J. Hu, X. M. Zhou, and G. K. Hu, “Nonsingular two dimensional cloak of arbitrary shape,” Appl. Phys. Lett. 95(1), 011107 (2009).
[CrossRef]

Zolla, F.

Appl. Phys. Lett. (12)

H. Y. Chen and C. T. Chan, “Acoustic cloaking in three dimensions using acoustic metamaterials,” Appl. Phys. Lett. 91(18), 183518 (2007).
[CrossRef]

H. Y. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 91, 183518 (2007).
[CrossRef]

D.-H. Kwon and D. H. Werner, “Two-dimensional eccentric elliptic electromagnetic cloak,” Appl. Phys. Lett. 92(1), 013505 (2008).
[CrossRef]

D.-H. Kwon and D. H. Werner, “Two-dimensional electromagnetic cloak having a uniform thickness for elliptic cylindrical regions,” Appl. Phys. Lett. 92(11), 113502 (2008).
[CrossRef]

P. Zhang, Y. Jin, and S. He, “Obtaining a nonsingular two-dimensional cloak,” Appl. Phys. Lett. 93(24), 243502 (2008).
[CrossRef]

Z. Liang, P. Yao, X. Sun, and X. Jiang, “The physical picture and the essential elements of the dynamical process for dispersive cloaking structures,” Appl. Phys. Lett. 92(13), 131113 (2008).
[CrossRef]

J. Hu, X. M. Zhou, and G. K. Hu, “Nonsingular two dimensional cloak of arbitrary shape,” Appl. Phys. Lett. 95(1), 011107 (2009).
[CrossRef]

X. F. Xu, Y. Feng, Y. Hao, J. Zhao, and T. Jiang, “Infrared carpet cloak designed with uniform silicon grating structure,” Appl. Phys. Lett. 95(18), 184102 (2009).
[CrossRef]

P. Yao, Z. Liang, and X. Jiang, “Limitations of the electromagnetic cloak with dispersive material,” Appl. Phys. Lett. 92(3), 031111 (2008).
[CrossRef]

W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92(26), 264101 (2008).
[CrossRef]

D.-H. Kwon, “Virtual circular array using material-embedded linear source distributions,” Appl. Phys. Lett. 95(17), 173503 (2009).
[CrossRef]

Y. Luo, J. Zhang, H. Chen, J. Huangfu, and L. Ran, “High-directivity antenna with small antenna aperture,” Appl. Phys. Lett. 95(19), 193506 (2009).
[CrossRef]

N. J. Phys. (1)

H. Y. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “reshaping the perfect electrical conductor cylinder arbitrarily,” N. J. Phys. 10(11), 113016 (2008).
[CrossRef]

Nat. Photonics (1)

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterial,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

Opt. Express (5)

Opt. Lett. (4)

Phys. Rev. A (1)

H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and J. Wang, “Material parameter equation for elliptical cylindrical cloaks,” Phys. Rev. A 77(1), 013825 (2008).
[CrossRef]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (2)

X. Zhou and G. K. Hu, “Acoustic wave transparency for a multilayered sphere with acoustic metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 75(4), 046606 (2007).
[CrossRef] [PubMed]

A. Alù and N. Engheta, “Achieving transparency with plasmonic and metamaterial coatings,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72(1), 016623 (2005).
[CrossRef] [PubMed]

Phys. Rev. Lett. (7)

H. S. Chen, B.-I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99, 113903 (2007).

B. L. Zhang, H. Chen, B. I. Wu, and J. A. Kong, “Extraordinary surface voltage effect in the invisibility cloak with an active device inside,” Phys. Rev. Lett. 100(6), 063904 (2008).
[CrossRef] [PubMed]

Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, “Ideal cylindrical cloak: perfect but sensitive to tiny perturbations,” Phys. Rev. Lett. 99(11), 113903 (2007).
[CrossRef] [PubMed]

M. Yan, Z. C. Ruan, and M. Qiu, “Cylindrical invisibility cloak with simplified material parameters is inherently visible,” Phys. Rev. Lett. 99(23), 233901 (2007).
[CrossRef]

S. Zhang, D. A. Genov, C. Sun, and X. Zhang, “Cloaking of matter waves,” Phys. Rev. Lett. 100(12), 123002 (2008).
[CrossRef] [PubMed]

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, “Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell,” Phys. Rev. Lett. 102(9), 093901 (2009).
[CrossRef] [PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. Xiao, Z. Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102(25), 253902 (2009).
[CrossRef] [PubMed]

Science (3)

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 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(5801), 977–980 (2006).
[CrossRef] [PubMed]

U. Leonhardt, “Optical conformal mapping,” Science 312(5781), 1777–1780 (2006).
[CrossRef] [PubMed]

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Figures (6)

Fig. 1
Fig. 1

(Color online). Computational domain of the elliptical superscatterer and superabsorber. The inner ellipse is a PEC (or an absorber core) with boundary of R1(θ) and minor semi-axis of a. The middle shell is an elliptical negative refractive material shell with outer boundary of R2(θ) and minor semi-axis of b. If the inner ellipsoid coating with the elliptical negative refractive shell, its cross section is the same as a large ellipsoid with boundary of R3(θ) and minor semi-axis of c.

Fig. 2
Fig. 2

(Color online) Electric field distribution of PEC (left column) and our designed device (right column) with system parameters (a) c = 0.3m, k = 1, (a’)a = 0.1m, b = 0.2m, k = 1, (b)c = 0.15m, k = 2, (b’)a = 0.05m, b = 0.1m, k = 2, (c) c = 0.15m, k = 2, (c’)a = 0.05m, b = 0.1m, k = 2.The unit is meter.

Fig. 3
Fig. 3

(Color online) Permittivity and permeability tensor parameters for the superscatterer (a) μxx. (b) μxy = μyx. (c) μyy. (d) εzz = (μzz). The unit is meter.

Fig. 4
Fig. 4

(Color online) Electric field distribution of normal absorber(left column) and superabsorber(right column) with system parameters (a) c = 0.4m, k = 1, (a’)c = 0.1m, b = 0.2m, k = 1, (b)c = 0.2m, k = 2, (b’)a = 0.05m, b = 0.1m, k = 2, (c) c = 0.2m, k = 2, (c’)a = 0.05m, b = 0.1m, k = 2. The unit is meter

Fig. 5
Fig. 5

(Color online) Permittivity and permeability tensor parameters for the superabsorber (a) μxx. (b) μxy = μyx. (c) μyy. (d) εzz = (μzz). The unit is meter.

Fig. 6
Fig. 6

(Color online) Superabsorber parameters of μrr, μθθ and μ on the outer boundary (R2(θ)) of the shell versus θ'.

Equations (14)

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

f ( ρ ) = R 3 ( θ ) R 2 ( θ ) R 2 ( θ ) R 1 ( θ ) ( R ( θ ) 2 ρ ) + R 2 ( θ ) ,
R 1 ( θ ) < ρ < R 2 ( θ )
θ ' = θ ,
z ' = z ,
R 1 ( θ ) = a sin 2 θ + cos 2 θ / k 2 R 2 ( θ ) = b sin 2 θ + cos 2 θ / k 2 , R 3 ( θ ) = c sin 2 θ + cos 2 θ / k 2
ε ¯ ¯ ε = μ ¯ ¯ μ = [ f [ 1 + ( 1 f f θ ) 2 ] ρ f ρ 1 f f θ 0 1 f f θ ρ f f ρ 0 0 0 f ρ f ρ ] ,
ε ¯ ¯ ε = μ ¯ ¯ μ = μ r r μ r θ 0 μ θ r μ θ θ 0 0 0 μ z z = [ f 0 [ 1 + 1 f 0 2 ( f 2 ) 2 ] ρ f 1 1 f 0 f 2 0 1 f 0 f 2 ρ f 0 f 1 0 0 0 f 0 ρ f 1 ] ,
[ μ x x μ x y μ y x μ y y ] = [ cos θ ' sin θ ' sin θ ' cos θ ' ] [ μ r r μ r θ μ θ r μ θ θ ] [ cos θ ' sin θ ' sin θ ' cos θ ' ]
μ x x = ( f 0 ρ f 1 + f 2 2 ρ f 0 f 1 ) cos 2 θ + ρ f 1 f 0 sin 2 θ + 2 f 2 f 0 sin θ cos θ , μ x y = μ y x = ( f 0 ρ f 1 + f 2 2 ρ f 0 f 1 ρ f 1 f 0 ) sin θ cos θ f 2 f 0 ( cos 2 θ sin 2 θ ) , μ y y = ρ f 1 f 0 cos 2 θ + ( f 0 ρ f 1 + f 2 2 ρ f 0 f 1 ) sin 2 θ 2 f 2 f 0 sin θ cos θ , μ z z = ε z z = f 0 f 1 ρ .
f ( ρ ) = R 2 ( θ ) 2 ρ ,
R 1 ( θ ) < ρ < R 2 ( θ )
θ ' = θ ,
z ' = z ,
μ x x = ( f 0 ρ f 1 + f 2 2 ρ f 0 f 1 ) cos 2 θ + ρ f 1 f 0 sin 2 θ + 2 f 2 f 0 sin θ cos θ , μ x y = μ y x = ( f 0 ρ f 1 + f 2 2 ρ f 0 f 1 ρ f 1 f 0 ) sin θ cos θ f 2 f 0 ( cos 2 θ sin 2 θ ) , μ y y = ρ f 1 f 0 cos 2 θ + ( f 0 ρ f 1 + f 2 2 ρ f 0 f 1 ) sin 2 θ 2 f 2 f 0 sin θ cos θ , μ z z = ε z z = f 0 f 1 ρ ,

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