Abstract

An equiscattering design is further analyzed which is able to reproduce exactly the scattered field of an externally illuminated object by combining the concept of complementary media and transformation optics. Having designed an invisibility cloak with a negative refractive material shell coated on a core medium, the equiscatterer of the object is realized by embedding the respective transformed object inside the core medium. The validity of the equiscattering effect is confirmed by an analytical approach applied to concentric dielectric cylindrical media.

© 2010 Optical Society of America

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  1. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780-1782 (2006).
    [Crossref] [PubMed]
  2. U. Leonhardt, “Optical conformal mapping,” Science 312, 1777-1780 (2006).
    [Crossref] [PubMed]
  3. U. Leonhardt and T. G. Philbin, “General relativity in electrical engineering,” New J. Phys. 8, 247 (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] [PubMed]
  5. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977-980 (2006).
    [Crossref] [PubMed]
  6. 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 equations,” Photon. Nanostruct.: Fundam. Applic. 6, 87-95 (2008).
    [Crossref]
  7. A. D. Yaghjian and S. Maci, “Alternative derivation of electromagnetic cloaks and concentrators,” New J. Phys. 10, 115022 (2008).
    [Crossref]
  8. Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, “Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations,” Phys. Rev. B 77, 125127 (2008).
    [Crossref]
  9. H. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 90, 241105 (2007).
    [Crossref]
  10. J. A. Silva-Macedo, M. A. Romero, and B.-H. V. Borges, “An extended FDTD method for the analysis of electromagnetic field rotations and cloaking devices,” Prog. Electromagn. Res. PIER 87, 183-196 (2008).
    [Crossref]
  11. M. Tsang and D. Psaltis, “Magnifying perfect lens and superlens design by coordinate transformation,” Phys. Rev. B 77, 035122 (2008).
    [Crossref]
  12. A. V. Kildishev and E. E. Narimanov, “Impedance-matched hyperlens,” Opt. Lett. 32, 3432-3434 (2007).
    [Crossref] [PubMed]
  13. N. Kundtz and D. R. Smith, “Extreme-angle broadband metamaterial lens,” Nature Mater. 9, 129-132 (2010).
    [Crossref]
  14. T. Yang, H. Chen, X. Luo, and H. Ma, “Superscatterer: Enhancement of scattering with complementary media,” Opt. Express 16, 18545-18550 (2008).
    [Crossref] [PubMed]
  15. H. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “Reshaping the perfect electrical conductor cylinder arbitrarily,” New J. Phys. 10, 113016 (2008).
    [Crossref]
  16. H. Chen, X. Luo, H. Ma, and C. T. Chan, “The anti-cloak,” Opt. Express 16, 14603-14608 (2008).
    [Crossref] [PubMed]
  17. G. Castaldi, I. Gallina, V. Galdi, A. Alu, and N. Engheta, “Cloak/anti-cloak interactions,” Opt. Express 17, 3101-3114 (2009).
    [Crossref] [PubMed]
  18. Y. Luo, J. Zhang, H. Chen, B.-I. Wu, and J. A. Kong, “A new strategy to conceal an object from electromagnetic wave,” eprint arXiv:0808.0215 [physical optics] (2008).
  19. Y. Lai, J. Ng, H. Chen, D. 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, 253902 (2009).
    [Crossref] [PubMed]
  20. J. Zhang, Y. Luo, H. Chen, J. Huangfu, B.-I. Wu, L. Ran, and J. A. Kong, “Guiding waves through an invisible tunnel,” Opt. Express 17, 6203-6208 (2009).
    [Crossref] [PubMed]
  21. 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]
  22. 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 17, 19947-19959 (2009).
    [Crossref] [PubMed]
  23. Y. G. Ma, C. K. Ong, T. Tyc, and U. Leonhardt, “An omnidirectional retroreflector based on the transformation of dielectric singularities,” Nature Mater. 8, 639-642 (2009).
    [Crossref]
  24. I. I. Smolyaninov, V. N. Smolyaninova, A. V. Kildishev, and V. M. Shalaev, “Anisotropic metamaterials emulated by tapered waveguides: Application to optical cloaking,” Phys. Rev. Lett. 102, 213901 (2009).
    [Crossref] [PubMed]
  25. S. Tretyakov, P. Alitalo, O. Luukkonen, and C. Simovski, “Broadband electromagnetic cloaking of long cylindrical objects,” Phys. Rev. Lett. 103, 103905 (2009).
    [Crossref] [PubMed]
  26. Y. Lai, H. Chen, Z.-Q. Zhang, and C. T. Chan, “Complementary media invisibility cloak that cloaks objects at a distance outside the cloaking shell,” Phys. Rev. Lett. 102, 093901 (2009).
    [Crossref] [PubMed]

2010 (1)

N. Kundtz and D. R. Smith, “Extreme-angle broadband metamaterial lens,” Nature Mater. 9, 129-132 (2010).
[Crossref]

2009 (9)

G. Castaldi, I. Gallina, V. Galdi, A. Alu, and N. Engheta, “Cloak/anti-cloak interactions,” Opt. Express 17, 3101-3114 (2009).
[Crossref] [PubMed]

Y. Lai, J. Ng, H. Chen, D. 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, 253902 (2009).
[Crossref] [PubMed]

J. Zhang, Y. Luo, H. Chen, J. Huangfu, B.-I. Wu, L. Ran, and J. A. Kong, “Guiding waves through an invisible tunnel,” Opt. Express 17, 6203-6208 (2009).
[Crossref] [PubMed]

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]

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 17, 19947-19959 (2009).
[Crossref] [PubMed]

Y. G. Ma, C. K. Ong, T. Tyc, and U. Leonhardt, “An omnidirectional retroreflector based on the transformation of dielectric singularities,” Nature Mater. 8, 639-642 (2009).
[Crossref]

I. I. Smolyaninov, V. N. Smolyaninova, A. V. Kildishev, and V. M. Shalaev, “Anisotropic metamaterials emulated by tapered waveguides: Application to optical cloaking,” Phys. Rev. Lett. 102, 213901 (2009).
[Crossref] [PubMed]

S. Tretyakov, P. Alitalo, O. Luukkonen, and C. Simovski, “Broadband electromagnetic cloaking of long cylindrical objects,” Phys. Rev. Lett. 103, 103905 (2009).
[Crossref] [PubMed]

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

2008 (8)

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 equations,” Photon. Nanostruct.: Fundam. Applic. 6, 87-95 (2008).
[Crossref]

A. D. Yaghjian and S. Maci, “Alternative derivation of electromagnetic cloaks and concentrators,” New J. Phys. 10, 115022 (2008).
[Crossref]

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, “Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations,” Phys. Rev. B 77, 125127 (2008).
[Crossref]

T. Yang, H. Chen, X. Luo, and H. Ma, “Superscatterer: Enhancement of scattering with complementary media,” Opt. Express 16, 18545-18550 (2008).
[Crossref] [PubMed]

H. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “Reshaping the perfect electrical conductor cylinder arbitrarily,” New J. Phys. 10, 113016 (2008).
[Crossref]

H. Chen, X. Luo, H. Ma, and C. T. Chan, “The anti-cloak,” Opt. Express 16, 14603-14608 (2008).
[Crossref] [PubMed]

J. A. Silva-Macedo, M. A. Romero, and B.-H. V. Borges, “An extended FDTD method for the analysis of electromagnetic field rotations and cloaking devices,” Prog. Electromagn. Res. PIER 87, 183-196 (2008).
[Crossref]

M. Tsang and D. Psaltis, “Magnifying perfect lens and superlens design by coordinate transformation,” Phys. Rev. B 77, 035122 (2008).
[Crossref]

2007 (2)

A. V. Kildishev and E. E. Narimanov, “Impedance-matched hyperlens,” Opt. Lett. 32, 3432-3434 (2007).
[Crossref] [PubMed]

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

2006 (5)

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

U. Leonhardt, “Optical conformal mapping,” Science 312, 1777-1780 (2006).
[Crossref] [PubMed]

U. Leonhardt and T. G. Philbin, “General relativity in electrical engineering,” New J. Phys. 8, 247 (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] [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]

Alitalo, P.

S. Tretyakov, P. Alitalo, O. Luukkonen, and C. Simovski, “Broadband electromagnetic cloaking of long cylindrical objects,” Phys. Rev. Lett. 103, 103905 (2009).
[Crossref] [PubMed]

Alu, A.

Borges, B. -H. V.

J. A. Silva-Macedo, M. A. Romero, and B.-H. V. Borges, “An extended FDTD method for the analysis of electromagnetic field rotations and cloaking devices,” Prog. Electromagn. Res. PIER 87, 183-196 (2008).
[Crossref]

Castaldi, G.

Chan, C. T.

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

Y. Lai, J. Ng, H. Chen, D. 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, 253902 (2009).
[Crossref] [PubMed]

H. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “Reshaping the perfect electrical conductor cylinder arbitrarily,” New J. Phys. 10, 113016 (2008).
[Crossref]

H. Chen, X. Luo, H. Ma, and C. T. Chan, “The anti-cloak,” Opt. Express 16, 14603-14608 (2008).
[Crossref] [PubMed]

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

Chen, H.

Y. Lai, J. Ng, H. Chen, D. 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, 253902 (2009).
[Crossref] [PubMed]

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

J. Zhang, Y. Luo, H. Chen, J. Huangfu, B.-I. Wu, L. Ran, and J. A. Kong, “Guiding waves through an invisible tunnel,” Opt. Express 17, 6203-6208 (2009).
[Crossref] [PubMed]

T. Yang, H. Chen, X. Luo, and H. Ma, “Superscatterer: Enhancement of scattering with complementary media,” Opt. Express 16, 18545-18550 (2008).
[Crossref] [PubMed]

H. Chen, X. Luo, H. Ma, and C. T. Chan, “The anti-cloak,” Opt. Express 16, 14603-14608 (2008).
[Crossref] [PubMed]

H. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “Reshaping the perfect electrical conductor cylinder arbitrarily,” New J. Phys. 10, 113016 (2008).
[Crossref]

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, “Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations,” Phys. Rev. B 77, 125127 (2008).
[Crossref]

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

Y. Luo, J. Zhang, H. Chen, B.-I. Wu, and J. A. Kong, “A new strategy to conceal an object from electromagnetic wave,” eprint arXiv:0808.0215 [physical optics] (2008).

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.

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 equations,” Photon. Nanostruct.: Fundam. Applic. 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] [PubMed]

Engheta, N.

Galdi, V.

Gallina, I.

Han, D.

Y. Lai, J. Ng, H. Chen, D. 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, 253902 (2009).
[Crossref] [PubMed]

Huangfu, J.

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, W. X.

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]

Kildishev, A. V.

I. I. Smolyaninov, V. N. Smolyaninova, A. V. Kildishev, and V. M. Shalaev, “Anisotropic metamaterials emulated by tapered waveguides: Application to optical cloaking,” Phys. Rev. Lett. 102, 213901 (2009).
[Crossref] [PubMed]

A. V. Kildishev and E. E. Narimanov, “Impedance-matched hyperlens,” Opt. Lett. 32, 3432-3434 (2007).
[Crossref] [PubMed]

Kong, J. A.

J. Zhang, Y. Luo, H. Chen, J. Huangfu, B.-I. Wu, L. Ran, and J. A. Kong, “Guiding waves through an invisible tunnel,” Opt. Express 17, 6203-6208 (2009).
[Crossref] [PubMed]

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, “Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations,” Phys. Rev. B 77, 125127 (2008).
[Crossref]

Y. Luo, J. Zhang, H. Chen, B.-I. Wu, and J. A. Kong, “A new strategy to conceal an object from electromagnetic wave,” eprint arXiv:0808.0215 [physical optics] (2008).

Kundtz, N.

N. Kundtz and D. R. Smith, “Extreme-angle broadband metamaterial lens,” Nature Mater. 9, 129-132 (2010).
[Crossref]

Lai, Y.

Y. Lai, J. Ng, H. Chen, D. 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, 253902 (2009).
[Crossref] [PubMed]

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

Leonhardt, U.

Y. G. Ma, C. K. Ong, T. Tyc, and U. Leonhardt, “An omnidirectional retroreflector based on the transformation of dielectric singularities,” Nature Mater. 8, 639-642 (2009).
[Crossref]

U. Leonhardt, “Optical conformal mapping,” Science 312, 1777-1780 (2006).
[Crossref] [PubMed]

U. Leonhardt and T. G. Philbin, “General relativity in electrical engineering,” New J. Phys. 8, 247 (2006).
[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]

Luo, X.

Luo, Y.

J. Zhang, Y. Luo, H. Chen, J. Huangfu, B.-I. Wu, L. Ran, and J. A. Kong, “Guiding waves through an invisible tunnel,” Opt. Express 17, 6203-6208 (2009).
[Crossref] [PubMed]

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, “Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations,” Phys. Rev. B 77, 125127 (2008).
[Crossref]

Y. Luo, J. Zhang, H. Chen, B.-I. Wu, and J. A. Kong, “A new strategy to conceal an object from electromagnetic wave,” eprint arXiv:0808.0215 [physical optics] (2008).

Luukkonen, O.

S. Tretyakov, P. Alitalo, O. Luukkonen, and C. Simovski, “Broadband electromagnetic cloaking of long cylindrical objects,” Phys. Rev. Lett. 103, 103905 (2009).
[Crossref] [PubMed]

Ma, H.

Ma, H. F.

Ma, Y. G.

Y. G. Ma, C. K. Ong, T. Tyc, and U. Leonhardt, “An omnidirectional retroreflector based on the transformation of dielectric singularities,” Nature Mater. 8, 639-642 (2009).
[Crossref]

Maci, S.

A. D. Yaghjian and S. Maci, “Alternative derivation of electromagnetic cloaks and concentrators,” New J. Phys. 10, 115022 (2008).
[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]

Narimanov, E. E.

Ng, J.

Y. Lai, J. Ng, H. Chen, D. 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, 253902 (2009).
[Crossref] [PubMed]

Ong, C. K.

Y. G. Ma, C. K. Ong, T. Tyc, and U. Leonhardt, “An omnidirectional retroreflector based on the transformation of dielectric singularities,” Nature Mater. 8, 639-642 (2009).
[Crossref]

Pendry, J. B.

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 equations,” Photon. Nanostruct.: Fundam. Applic. 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] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 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, 9794-9804 (2006).
[Crossref] [PubMed]

Philbin, T. G.

U. Leonhardt and T. G. Philbin, “General relativity in electrical engineering,” New J. Phys. 8, 247 (2006).
[Crossref]

Psaltis, D.

M. Tsang and D. Psaltis, “Magnifying perfect lens and superlens design by coordinate transformation,” Phys. Rev. B 77, 035122 (2008).
[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 equations,” Photon. Nanostruct.: Fundam. Applic. 6, 87-95 (2008).
[Crossref]

Ran, L.

J. Zhang, Y. Luo, H. Chen, J. Huangfu, B.-I. Wu, L. Ran, and J. A. Kong, “Guiding waves through an invisible tunnel,” Opt. Express 17, 6203-6208 (2009).
[Crossref] [PubMed]

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, “Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations,” Phys. Rev. B 77, 125127 (2008).
[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 equations,” Photon. Nanostruct.: Fundam. Applic. 6, 87-95 (2008).
[Crossref]

Romero, M. A.

J. A. Silva-Macedo, M. A. Romero, and B.-H. V. Borges, “An extended FDTD method for the analysis of electromagnetic field rotations and cloaking devices,” Prog. Electromagn. Res. PIER 87, 183-196 (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 equations,” Photon. Nanostruct.: Fundam. Applic. 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] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 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, 9794-9804 (2006).
[Crossref] [PubMed]

Shalaev, V. M.

I. I. Smolyaninov, V. N. Smolyaninova, A. V. Kildishev, and V. M. Shalaev, “Anisotropic metamaterials emulated by tapered waveguides: Application to optical cloaking,” Phys. Rev. Lett. 102, 213901 (2009).
[Crossref] [PubMed]

Silva-Macedo, J. A.

J. A. Silva-Macedo, M. A. Romero, and B.-H. V. Borges, “An extended FDTD method for the analysis of electromagnetic field rotations and cloaking devices,” Prog. Electromagn. Res. PIER 87, 183-196 (2008).
[Crossref]

Simovski, C.

S. Tretyakov, P. Alitalo, O. Luukkonen, and C. Simovski, “Broadband electromagnetic cloaking of long cylindrical objects,” Phys. Rev. Lett. 103, 103905 (2009).
[Crossref] [PubMed]

Smith, D. R.

N. Kundtz and D. R. Smith, “Extreme-angle broadband metamaterial lens,” Nature Mater. 9, 129-132 (2010).
[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]

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 equations,” Photon. Nanostruct.: Fundam. Applic. 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] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 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, 9794-9804 (2006).
[Crossref] [PubMed]

Smolyaninov, I. I.

I. I. Smolyaninov, V. N. Smolyaninova, A. V. Kildishev, and V. M. Shalaev, “Anisotropic metamaterials emulated by tapered waveguides: Application to optical cloaking,” Phys. Rev. Lett. 102, 213901 (2009).
[Crossref] [PubMed]

Smolyaninova, V. N.

I. I. Smolyaninov, V. N. Smolyaninova, A. V. Kildishev, and V. M. Shalaev, “Anisotropic metamaterials emulated by tapered waveguides: Application to optical cloaking,” Phys. Rev. Lett. 102, 213901 (2009).
[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]

Tretyakov, S.

S. Tretyakov, P. Alitalo, O. Luukkonen, and C. Simovski, “Broadband electromagnetic cloaking of long cylindrical objects,” Phys. Rev. Lett. 103, 103905 (2009).
[Crossref] [PubMed]

Tsang, M.

M. Tsang and D. Psaltis, “Magnifying perfect lens and superlens design by coordinate transformation,” Phys. Rev. B 77, 035122 (2008).
[Crossref]

Tyc, T.

Y. G. Ma, C. K. Ong, T. Tyc, and U. Leonhardt, “An omnidirectional retroreflector based on the transformation of dielectric singularities,” Nature Mater. 8, 639-642 (2009).
[Crossref]

Wu, B. -I.

J. Zhang, Y. Luo, H. Chen, J. Huangfu, B.-I. Wu, L. Ran, and J. A. Kong, “Guiding waves through an invisible tunnel,” Opt. Express 17, 6203-6208 (2009).
[Crossref] [PubMed]

Y. Luo, J. Zhang, H. Chen, B.-I. Wu, and J. A. Kong, “A new strategy to conceal an object from electromagnetic wave,” eprint arXiv:0808.0215 [physical optics] (2008).

Xiao, J.

Y. Lai, J. Ng, H. Chen, D. 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, 253902 (2009).
[Crossref] [PubMed]

Yaghjian, A. D.

A. D. Yaghjian and S. Maci, “Alternative derivation of electromagnetic cloaks and concentrators,” New J. Phys. 10, 115022 (2008).
[Crossref]

Yang, T.

Yang, X. M.

Zhang, J.

J. Zhang, Y. Luo, H. Chen, J. Huangfu, B.-I. Wu, L. Ran, and J. A. Kong, “Guiding waves through an invisible tunnel,” Opt. Express 17, 6203-6208 (2009).
[Crossref] [PubMed]

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, “Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations,” Phys. Rev. B 77, 125127 (2008).
[Crossref]

Y. Luo, J. Zhang, H. Chen, B.-I. Wu, and J. A. Kong, “A new strategy to conceal an object from electromagnetic wave,” eprint arXiv:0808.0215 [physical optics] (2008).

Zhang, X.

H. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “Reshaping the perfect electrical conductor cylinder arbitrarily,” New J. Phys. 10, 113016 (2008).
[Crossref]

Zhang, Z. -Q.

Y. Lai, J. Ng, H. Chen, D. 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, 253902 (2009).
[Crossref] [PubMed]

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

Zhou, X. Y.

Appl. Phys. Lett. (1)

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

Nature Mater. (2)

N. Kundtz and D. R. Smith, “Extreme-angle broadband metamaterial lens,” Nature Mater. 9, 129-132 (2010).
[Crossref]

Y. G. Ma, C. K. Ong, T. Tyc, and U. Leonhardt, “An omnidirectional retroreflector based on the transformation of dielectric singularities,” Nature Mater. 8, 639-642 (2009).
[Crossref]

New J. Phys. (3)

H. Chen, X. Zhang, X. Luo, H. Ma, and C. T. Chan, “Reshaping the perfect electrical conductor cylinder arbitrarily,” New J. Phys. 10, 113016 (2008).
[Crossref]

A. D. Yaghjian and S. Maci, “Alternative derivation of electromagnetic cloaks and concentrators,” New J. Phys. 10, 115022 (2008).
[Crossref]

U. Leonhardt and T. G. Philbin, “General relativity in electrical engineering,” New J. Phys. 8, 247 (2006).
[Crossref]

Opt. Express (6)

Opt. Lett. (1)

Photon. Nanostruct.: Fundam. Applic. (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 equations,” Photon. Nanostruct.: Fundam. Applic. 6, 87-95 (2008).
[Crossref]

Phys. Rev. B (2)

M. Tsang and D. Psaltis, “Magnifying perfect lens and superlens design by coordinate transformation,” Phys. Rev. B 77, 035122 (2008).
[Crossref]

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, “Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations,” Phys. Rev. B 77, 125127 (2008).
[Crossref]

Phys. Rev. Lett. (4)

Y. Lai, J. Ng, H. Chen, D. 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, 253902 (2009).
[Crossref] [PubMed]

I. I. Smolyaninov, V. N. Smolyaninova, A. V. Kildishev, and V. M. Shalaev, “Anisotropic metamaterials emulated by tapered waveguides: Application to optical cloaking,” Phys. Rev. Lett. 102, 213901 (2009).
[Crossref] [PubMed]

S. Tretyakov, P. Alitalo, O. Luukkonen, and C. Simovski, “Broadband electromagnetic cloaking of long cylindrical objects,” Phys. Rev. Lett. 103, 103905 (2009).
[Crossref] [PubMed]

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

Prog. Electromagn. Res. PIER (1)

J. A. Silva-Macedo, M. A. Romero, and B.-H. V. Borges, “An extended FDTD method for the analysis of electromagnetic field rotations and cloaking devices,” Prog. Electromagn. Res. PIER 87, 183-196 (2008).
[Crossref]

Science (4)

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]

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

U. Leonhardt, “Optical conformal mapping,” Science 312, 1777-1780 (2006).
[Crossref] [PubMed]

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]

Other (1)

Y. Luo, J. Zhang, H. Chen, B.-I. Wu, and J. A. Kong, “A new strategy to conceal an object from electromagnetic wave,” eprint arXiv:0808.0215 [physical optics] (2008).

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Figures (3)

Fig. 1
Fig. 1

(a) A system composed of a circular layer of air at b < r < c ; the circular layer of complementary medium of parameters ( ϵ , μ ) at a < r < b ; and the core medium of parameters ( ϵ a , μ a ) at 0 < r < a . For simplicity, the subscript m of coefficients α and β was skipped. (b) The real part of the total electric field E z for a TE plane wave incident from the left on the system described in (a) when a / λ = 0.5 , b / λ = 1 , and c / λ = 2 , where λ is the wavelength of the incident wave in vacuum.

Fig. 2
Fig. 2

(a) A circular dielectric layer of parameters ( ϵ 1 , μ 1 ) placed in air at c 1 < r < c . (b) A system composed of the invisibility cloak of Fig. 1 with the transformed circular layer of parameters ( ϵ 1 ϵ a , μ 1 μ a ) embedded inside the core medium at a 1 < r < a , where a 1 is determined by c 1 = f a ( a 1 ) . (c) The real part of the total electric field E z at r > c for a TE plane wave incident from the left on the system described in (a). (d) The same, when the wave is incident on the system described schematically in (b). In (c) and (d), the virtual limit at r = c is shown by a dashed line and the positions of inner layers at r < c are indicated by plain circular lines. The values of parameters are as follows: ϵ 1 = 8 , μ 1 = 1 , c 1 / λ = 1.5 , a 1 / λ = 0.375 ; the other parameters a, b, and c being like in Fig. 1.

Fig. 3
Fig. 3

(a) Two circular dielectric layers of parameters ( ϵ 1 , μ 1 ) and ( ϵ 2 , μ 2 ) placed in air at c 1 < r < c and c 2 < r < c 1 , respectively. (b) A system composed of the invisibility cloak of Fig. 1 with the two transformed circular layers embedded inside the core medium; one of parameters ( ϵ 1 ϵ a , μ 1 μ a ) at a 1 < r < a ; and the other of parameters ( ϵ 2 ϵ a , μ 2 μ a ) at a 2 < r < a 1 , where a i are determined by c i = f a ( a i ) , with i = 1 , 2 . (c) The real part of the total electric field E z at r > c for a TE plane wave incident from the left on the system described in (a). (d) The same, when the wave is incident on the system described schematically in (b). The values of parameters are as follows: ϵ 1 = 5 , ϵ 2 = 7 , μ 1 = μ 2 = 1 , c 1 / λ = 1.7 , c 2 / λ = 1.2 , a 1 / λ = 0.425 , a 2 / λ = 0.3 ; the other parameters a, b, and c being like in Fig. 1.

Equations (17)

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ϵ r = μ r = f ( r ) r f ( r ) ,     ϵ θ = μ θ = r f ( r ) f ( r ) ,
ϵ z = μ z = f ( r ) f ( r ) r .
f ( r ) = ( r b ) ( c b ) a b + b ,
ϵ r = μ r [ c ( a b ) a ( c b ) , a b c b ] ,
ϵ θ = μ θ [ c b a b , a ( c b ) c ( a b ) ] ,
ϵ z = μ z [ c ( c b ) a ( a b ) , c b a b ] .
f a ( r ) = c a r ,
ϵ a r = μ a r = 1 ,     ϵ a θ = μ a θ = 1 ,
ϵ a z = μ a z = c 2 a 2 .
f ( r ) = b 2 r     for   a < r < b ,
f a ( r ) = ( b a ) 2 r     for   0 < r < a ,
ϵ r = μ r = 1 ,     ϵ θ = μ θ = 1 ,
ϵ z = μ z = ( b r ) 4 ,
1 ϵ z 1 r r ( r μ θ E z r ) + 1 ϵ z 1 r 2 θ ( 1 μ r E z θ ) + k 0 2 E z = 0 ,
r > b ,     E z = m [ α m ( in ) J m ( k 0 r ) + β m ( sc ) H m ( 1 ) ( k 0 r ) ] exp ( i m θ ) ,
a < r < b ,     E z = m [ α m ( 1 ) J m ( k 0 f ( r ) ) + β m ( 1 ) H m ( 1 ) ( k 0 f ( r ) ) ] exp ( i m θ ) ,
r < a ,     E z = m α m ( 2 ) J m ( k 0 f a ( r ) ) exp ( i m θ ) ,

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