Abstract

We present a general insight into complementary medium-based camouflage devices from Fourier optics. The cloaks are simply spatial filters with different transfer functions and play the role of passively remedying or actively modulating the propagation optical field to make an object invisible or changeable. We further analytically show and numerically demonstrate two filters for realizing another invisibility method: optically camouflaging an object at one place to appear at another place with parallel displacement or orientation changeable displacement, respectively. Our analysis is from a completely different point of view and should clarify understanding of the mechanism of invisibility phenomena.

© 2010 Optical Society of America

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  1. A. J. Ward and J. B. Pendry, J. Mod. Opt. 43, 773 (1996).
    [CrossRef]
  2. U. Leonhardt, Science 312, 1777 (2006).
    [CrossRef] [PubMed]
  3. J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
    [CrossRef] [PubMed]
  4. A. Alu and N. Engheta, Phys. Rev. Lett. 100, 113901 (2008).
    [CrossRef] [PubMed]
  5. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photon. 1, 224 (2007).
    [CrossRef]
  6. Y. Lai, H. Y. Chen, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
    [CrossRef] [PubMed]
  7. Y. Lai, J. Ng, H. Y. Chen, D. Han, J. Xiao, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
    [CrossRef] [PubMed]
  8. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Appl. Phys. Lett. 91, 111105 (2007).
    [CrossRef]
  9. H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, Phys. Rev. Lett. 99, 063903 (2007).
    [CrossRef] [PubMed]
  10. Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, Phys. Rev. B 77, 125127 (2008).
    [CrossRef]
  11. M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
    [CrossRef]
  12. S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, Phys. Rev. E 74, 036621 (2006).
    [CrossRef]
  13. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (McGraw-Hill, 2005).
  14. J. D. Jackson, Classical Electrodynamics, 3rd ed., (Wiley, 2004).
  15. M. Born and E. Wolf, Principles of Optics (Pergamon, 1970).
  16. J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
    [CrossRef] [PubMed]

2009 (2)

Y. Lai, H. Y. Chen, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Han, J. Xiao, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef] [PubMed]

2008 (3)

A. Alu and N. Engheta, Phys. Rev. Lett. 100, 113901 (2008).
[CrossRef] [PubMed]

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, Phys. Rev. B 77, 125127 (2008).
[CrossRef]

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

2007 (3)

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photon. 1, 224 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, Phys. Rev. Lett. 99, 063903 (2007).
[CrossRef] [PubMed]

2006 (3)

U. Leonhardt, Science 312, 1777 (2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, Phys. Rev. E 74, 036621 (2006).
[CrossRef]

2005 (1)

J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (McGraw-Hill, 2005).

2004 (1)

J. D. Jackson, Classical Electrodynamics, 3rd ed., (Wiley, 2004).

2000 (1)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

1996 (1)

A. J. Ward and J. B. Pendry, J. Mod. Opt. 43, 773 (1996).
[CrossRef]

1970 (1)

M. Born and E. Wolf, Principles of Optics (Pergamon, 1970).

Alu, A.

A. Alu and N. Engheta, Phys. Rev. Lett. 100, 113901 (2008).
[CrossRef] [PubMed]

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1970).

Cai, W.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photon. 1, 224 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

Chan, C. T.

Y. Lai, J. Ng, H. Y. Chen, D. Han, J. Xiao, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef] [PubMed]

Y. Lai, H. Y. Chen, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

Chen, H.

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, Phys. Rev. B 77, 125127 (2008).
[CrossRef]

H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, Phys. Rev. Lett. 99, 063903 (2007).
[CrossRef] [PubMed]

Chen, H. Y.

Y. Lai, J. Ng, H. Y. Chen, D. Han, J. Xiao, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef] [PubMed]

Y. Lai, H. Y. Chen, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

Chettiar, U. K.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photon. 1, 224 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

Cummer, S. A.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, Phys. Rev. E 74, 036621 (2006).
[CrossRef]

Engheta, N.

A. Alu and N. Engheta, Phys. Rev. Lett. 100, 113901 (2008).
[CrossRef] [PubMed]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (McGraw-Hill, 2005).

Han, D.

Y. Lai, J. Ng, H. Y. Chen, D. Han, J. Xiao, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef] [PubMed]

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics, 3rd ed., (Wiley, 2004).

Kildishev, A. V.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photon. 1, 224 (2007).
[CrossRef]

Kong, J. A.

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, Phys. Rev. B 77, 125127 (2008).
[CrossRef]

H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, Phys. Rev. Lett. 99, 063903 (2007).
[CrossRef] [PubMed]

Lai, Y.

Y. Lai, H. Y. Chen, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Han, J. Xiao, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef] [PubMed]

Leonhardt, U.

U. Leonhardt, Science 312, 1777 (2006).
[CrossRef] [PubMed]

Luo, Y.

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, Phys. Rev. B 77, 125127 (2008).
[CrossRef]

Ng, J.

Y. Lai, J. Ng, H. Y. Chen, D. Han, J. Xiao, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef] [PubMed]

Pendry, J. B.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, Phys. Rev. E 74, 036621 (2006).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

A. J. Ward and J. B. Pendry, J. Mod. Opt. 43, 773 (1996).
[CrossRef]

Popa, B.-I.

S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, Phys. Rev. E 74, 036621 (2006).
[CrossRef]

Rahm, M.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

Ran, L.

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, 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, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

Schurig, D.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, Phys. Rev. E 74, 036621 (2006).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

Shalaev, V. M.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photon. 1, 224 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

Smith, D. R.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, Phys. Rev. E 74, 036621 (2006).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

Ward, A. J.

A. J. Ward and J. B. Pendry, J. Mod. Opt. 43, 773 (1996).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1970).

Wu, B.-I.

H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, Phys. Rev. Lett. 99, 063903 (2007).
[CrossRef] [PubMed]

Xiao, J.

Y. Lai, J. Ng, H. Y. Chen, D. Han, J. Xiao, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef] [PubMed]

Zhang, B.

H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, Phys. Rev. Lett. 99, 063903 (2007).
[CrossRef] [PubMed]

Zhang, J.

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, Phys. Rev. B 77, 125127 (2008).
[CrossRef]

Zhang, Z.-Q.

Y. Lai, J. Ng, H. Y. Chen, D. Han, J. Xiao, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef] [PubMed]

Y. Lai, H. Y. Chen, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Appl. Phys. Lett. 91, 111105 (2007).
[CrossRef]

J. Mod. Opt. (1)

A. J. Ward and J. B. Pendry, J. Mod. Opt. 43, 773 (1996).
[CrossRef]

Nat. Photon. (1)

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photon. 1, 224 (2007).
[CrossRef]

Photon. Nanostruct. Fundam. Appl. (1)

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

Phys. Rev. B (1)

Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong, Phys. Rev. B 77, 125127 (2008).
[CrossRef]

Phys. Rev. E (1)

S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, Phys. Rev. E 74, 036621 (2006).
[CrossRef]

Phys. Rev. Lett. (5)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

A. Alu and N. Engheta, Phys. Rev. Lett. 100, 113901 (2008).
[CrossRef] [PubMed]

H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, Phys. Rev. Lett. 99, 063903 (2007).
[CrossRef] [PubMed]

Y. Lai, H. Y. Chen, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

Y. Lai, J. Ng, H. Y. Chen, D. Han, J. Xiao, Z.-Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[CrossRef] [PubMed]

Science (2)

U. Leonhardt, Science 312, 1777 (2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

Other (3)

J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (McGraw-Hill, 2005).

J. D. Jackson, Classical Electrodynamics, 3rd ed., (Wiley, 2004).

M. Born and E. Wolf, Principles of Optics (Pergamon, 1970).

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Figures (3)

Fig. 1
Fig. 1

Schematics of the perfect lens in (a) one-dimensional infinite space and (b) two-dimensional cylindrical coordinate system. Schematics of a filter (dashed-line enclosed area) camouflaging an object at one place (yellow smiley face logo, left) to another place (orange smiley face) with parallel displacement (c) or orientation changed displacement (d).

Fig. 2
Fig. 2

Calculated optical field distributions as a TE-polarized plane light passes through (a) an object and filter system and (b) only the object in free space with a parallel displacement compared to (a), respectively. The black solid lines mark the geometry of the object and filter in the simulations.

Fig. 3
Fig. 3

Calculated optical field distributions as a TE-polarized plane light passes through (a) an object and filter system and (b) only the object in free space with 90° rotated displacement compared to (a), respectively. The black solid lines mark the geometry of the object and filter in the simulations.

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