Abstract

Discrete systems of infinitely long polarizable line dipoles are considered in the quasistatic limit, interacting with a two-dimensional cloaking system consisting of a hollow plasmonic cylindrical shell. A numerical procedure is described for accurately calculating electromagnetic fields arising in the quasistatic limit, for the case when the relative permittivity of the cloaking shell has a very small imaginary part. Animations are given which illustrate cloaking of discrete systems, both for the case of induced dipoles and induced quadrupoles on the interacting particles. The simulations clarify the physical mechanism for the cloaking.

© 2007 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]
  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. A. Greenleaf, M. Lassas, and G. Uhlmann, "Anisotropic conductivities that cannot be detected by EIT," Physiol. Meas. 24413-419 (2003).
    [CrossRef]
  5. A. Greenleaf, Y. Kurylev,M. Lassas, and G. Uhlmann, "Full-wave invisibility of active devices at all frequencies," http://arxiv.org/abs/math.AP/0611185.
  6. G.W. Milton,M. Briane, and J. R. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New Journal of Physics 8, 248-267 (2006).
    [CrossRef]
  7. W. Cai, U. K. Chettiar, A. V. Kildishev, and V.M. Shalaev, "Optical Cloaking with Non-MagneticMetamaterials," http://arxiv.org/pdf/physics/0611242.
  8. N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, "Optical and dielectric properties of partially resonant composites," Phys. Rev. B 490, 8479-8482 (1994).
  9. T. J. Cui, Q. Cheng,W. B. Lu, Q. Jiang, J. A. Kong, "Localization of electromagnetic energy using a left-handedmedium slab," Phy. Rev. B 71, 045114 (2005).
    [CrossRef]
  10. A. D. Boardman and K. Marinov, "Non-radiating and radiating configurations driven by left-handed metamaterials," J. Opt. Soc. Am. B 23, 543-552 (2006).
    [CrossRef]
  11. V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, "Planar electromagnetic metamaterial with a fish scale structure," Phys. Rev. E 72, 056613 (2005).
    [CrossRef]
  12. G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy, "A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance," Proc. R. Soc. Lond. A 461, 3999-4034 (2005).
  13. G. W. Milton and N.-A. P. Nicorovici, "On the cloaking effects associated with anomalous localized resonance," Proc. Roy. Soc. A 462, 3027-3059 (2006).
  14. G. W. Milton, N.-A. P. Nicorovici, and R. C. McPhedran, "Opaque perfect lenses," Physica B, in press, http://www.arxiv.org/abs/physics/0608225.
  15. M. Kerker, "Invisible bodies," J. Opt. Soc. Am. 65, 376-379 (1975).
  16. A. Alu and N. Engheta, "Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency," IEEE Trans. Antennas Propag. 51, 2558-2571 (2003).
    [CrossRef]
  17. A. Alu and N. Engheta, "Achieving transparency with plasmonic and metamaterial coatings," Phys. Rev. E 72, 016623 (2005).
    [CrossRef]
  18. A. G. Ramm, "Invisible obstacles," Ann. Polon. Math. 90, 145-148 (2007).
  19. D. A. B. Miller, "On perfect cloaking," Opt. Express 14, 12457-12466 (2006).
    [CrossRef]
  20. P. Sheng, "Waves on the horizon," Science 313, 1399-1400 (2006).
    [CrossRef]
  21. P. Weiss, "Out of Sight: Physicists get serious about invisibility shields," Science News 170, 42-44 (2006).
  22. Supporting Online Material, http://www.physics.usyd.edu.au/cudos/research/plasmon.html.
  23. O. P. Bruno and S. Lintner, "Superlens-cloaking of small dielectric bodies in the quasistatic regime," submitted.

2007 (1)

A. G. Ramm, "Invisible obstacles," Ann. Polon. Math. 90, 145-148 (2007).

2006 (9)

P. Sheng, "Waves on the horizon," Science 313, 1399-1400 (2006).
[CrossRef]

P. Weiss, "Out of Sight: Physicists get serious about invisibility shields," Science News 170, 42-44 (2006).

G. W. Milton and N.-A. P. Nicorovici, "On the cloaking effects associated with anomalous localized resonance," Proc. Roy. Soc. A 462, 3027-3059 (2006).

A. D. Boardman and K. Marinov, "Non-radiating and radiating configurations driven by left-handed metamaterials," J. Opt. Soc. Am. B 23, 543-552 (2006).
[CrossRef]

D. A. B. Miller, "On perfect cloaking," Opt. Express 14, 12457-12466 (2006).
[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]

G.W. Milton,M. Briane, and J. R. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New Journal of Physics 8, 248-267 (2006).
[CrossRef]

2005 (4)

T. J. Cui, Q. Cheng,W. B. Lu, Q. Jiang, J. A. Kong, "Localization of electromagnetic energy using a left-handedmedium slab," Phy. Rev. B 71, 045114 (2005).
[CrossRef]

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, "Planar electromagnetic metamaterial with a fish scale structure," Phys. Rev. E 72, 056613 (2005).
[CrossRef]

G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy, "A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance," Proc. R. Soc. Lond. A 461, 3999-4034 (2005).

A. Alu and N. Engheta, "Achieving transparency with plasmonic and metamaterial coatings," Phys. Rev. E 72, 016623 (2005).
[CrossRef]

2003 (2)

A. Greenleaf, M. Lassas, and G. Uhlmann, "Anisotropic conductivities that cannot be detected by EIT," Physiol. Meas. 24413-419 (2003).
[CrossRef]

A. Alu and N. Engheta, "Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency," IEEE Trans. Antennas Propag. 51, 2558-2571 (2003).
[CrossRef]

1994 (1)

N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, "Optical and dielectric properties of partially resonant composites," Phys. Rev. B 490, 8479-8482 (1994).

1975 (1)

Alu, A.

A. Alu and N. Engheta, "Achieving transparency with plasmonic and metamaterial coatings," Phys. Rev. E 72, 016623 (2005).
[CrossRef]

A. Alu and N. Engheta, "Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency," IEEE Trans. Antennas Propag. 51, 2558-2571 (2003).
[CrossRef]

Boardman, A. D.

Briane, M.

G.W. Milton,M. Briane, and J. R. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New Journal of Physics 8, 248-267 (2006).
[CrossRef]

Cheng, Q.

T. J. Cui, Q. Cheng,W. B. Lu, Q. Jiang, J. A. Kong, "Localization of electromagnetic energy using a left-handedmedium slab," Phy. Rev. B 71, 045114 (2005).
[CrossRef]

Cui, T. J.

T. J. Cui, Q. Cheng,W. B. Lu, Q. Jiang, J. A. Kong, "Localization of electromagnetic energy using a left-handedmedium slab," Phy. Rev. B 71, 045114 (2005).
[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, 977-980 (2006).
[CrossRef]

Engheta, N.

A. Alu and N. Engheta, "Achieving transparency with plasmonic and metamaterial coatings," Phys. Rev. E 72, 016623 (2005).
[CrossRef]

A. Alu and N. Engheta, "Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency," IEEE Trans. Antennas Propag. 51, 2558-2571 (2003).
[CrossRef]

Fedotov, V. A.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, "Planar electromagnetic metamaterial with a fish scale structure," Phys. Rev. E 72, 056613 (2005).
[CrossRef]

Greenleaf, A.

A. Greenleaf, M. Lassas, and G. Uhlmann, "Anisotropic conductivities that cannot be detected by EIT," Physiol. Meas. 24413-419 (2003).
[CrossRef]

Jiang, Q.

T. J. Cui, Q. Cheng,W. B. Lu, Q. Jiang, J. A. Kong, "Localization of electromagnetic energy using a left-handedmedium slab," Phy. Rev. B 71, 045114 (2005).
[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]

Kerker, M.

Kong, J. A.

T. J. Cui, Q. Cheng,W. B. Lu, Q. Jiang, J. A. Kong, "Localization of electromagnetic energy using a left-handedmedium slab," Phy. Rev. B 71, 045114 (2005).
[CrossRef]

Lassas, M.

A. Greenleaf, M. Lassas, and G. Uhlmann, "Anisotropic conductivities that cannot be detected by EIT," Physiol. Meas. 24413-419 (2003).
[CrossRef]

Leonhardt, U.

U. Leonhardt, "Optical conformal mapping," Science 312, 1777-1780 (2006).
[CrossRef]

Lu, W. B.

T. J. Cui, Q. Cheng,W. B. Lu, Q. Jiang, J. A. Kong, "Localization of electromagnetic energy using a left-handedmedium slab," Phy. Rev. B 71, 045114 (2005).
[CrossRef]

Marinov, K.

McPhedran, R. C.

G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy, "A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance," Proc. R. Soc. Lond. A 461, 3999-4034 (2005).

N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, "Optical and dielectric properties of partially resonant composites," Phys. Rev. B 490, 8479-8482 (1994).

G. W. Milton, N.-A. P. Nicorovici, and R. C. McPhedran, "Opaque perfect lenses," Physica B, in press, http://www.arxiv.org/abs/physics/0608225.

Miller, D. A. B.

Milton, G. W.

G. W. Milton and N.-A. P. Nicorovici, "On the cloaking effects associated with anomalous localized resonance," Proc. Roy. Soc. A 462, 3027-3059 (2006).

G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy, "A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance," Proc. R. Soc. Lond. A 461, 3999-4034 (2005).

N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, "Optical and dielectric properties of partially resonant composites," Phys. Rev. B 490, 8479-8482 (1994).

G. W. Milton, N.-A. P. Nicorovici, and R. C. McPhedran, "Opaque perfect lenses," Physica B, in press, http://www.arxiv.org/abs/physics/0608225.

Milton, G.W.

G.W. Milton,M. Briane, and J. R. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New Journal of Physics 8, 248-267 (2006).
[CrossRef]

Mladyonov, P. L.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, "Planar electromagnetic metamaterial with a fish scale structure," Phys. Rev. E 72, 056613 (2005).
[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, 977-980 (2006).
[CrossRef]

Nicorovici, N. A.

N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, "Optical and dielectric properties of partially resonant composites," Phys. Rev. B 490, 8479-8482 (1994).

Nicorovici, N.-A. P.

G. W. Milton and N.-A. P. Nicorovici, "On the cloaking effects associated with anomalous localized resonance," Proc. Roy. Soc. A 462, 3027-3059 (2006).

G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy, "A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance," Proc. R. Soc. Lond. A 461, 3999-4034 (2005).

G. W. Milton, N.-A. P. Nicorovici, and R. C. McPhedran, "Opaque perfect lenses," Physica B, in press, http://www.arxiv.org/abs/physics/0608225.

Pendry, J. B.

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]

Podolskiy, V. A.

G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy, "A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance," Proc. R. Soc. Lond. A 461, 3999-4034 (2005).

Prosvirnin, S. L.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, "Planar electromagnetic metamaterial with a fish scale structure," Phys. Rev. E 72, 056613 (2005).
[CrossRef]

Ramm, A. G.

A. G. Ramm, "Invisible obstacles," Ann. Polon. Math. 90, 145-148 (2007).

Schurig, D.

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]

Sheng, P.

P. Sheng, "Waves on the horizon," Science 313, 1399-1400 (2006).
[CrossRef]

Smith, D. R.

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]

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]

Uhlmann, G.

A. Greenleaf, M. Lassas, and G. Uhlmann, "Anisotropic conductivities that cannot be detected by EIT," Physiol. Meas. 24413-419 (2003).
[CrossRef]

Weiss, P.

P. Weiss, "Out of Sight: Physicists get serious about invisibility shields," Science News 170, 42-44 (2006).

Willis, J. R.

G.W. Milton,M. Briane, and J. R. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New Journal of Physics 8, 248-267 (2006).
[CrossRef]

Zheludev, N. I.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, "Planar electromagnetic metamaterial with a fish scale structure," Phys. Rev. E 72, 056613 (2005).
[CrossRef]

Ann. Polon. Math. (1)

A. G. Ramm, "Invisible obstacles," Ann. Polon. Math. 90, 145-148 (2007).

IEEE Trans. Antennas Propag. (1)

A. Alu and N. Engheta, "Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency," IEEE Trans. Antennas Propag. 51, 2558-2571 (2003).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (1)

New Journal of Physics (1)

G.W. Milton,M. Briane, and J. R. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New Journal of Physics 8, 248-267 (2006).
[CrossRef]

Opt. Express (1)

Phy. Rev. B (1)

T. J. Cui, Q. Cheng,W. B. Lu, Q. Jiang, J. A. Kong, "Localization of electromagnetic energy using a left-handedmedium slab," Phy. Rev. B 71, 045114 (2005).
[CrossRef]

Phys. Rev. B (1)

N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, "Optical and dielectric properties of partially resonant composites," Phys. Rev. B 490, 8479-8482 (1994).

Phys. Rev. E (2)

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, "Planar electromagnetic metamaterial with a fish scale structure," Phys. Rev. E 72, 056613 (2005).
[CrossRef]

A. Alu and N. Engheta, "Achieving transparency with plasmonic and metamaterial coatings," Phys. Rev. E 72, 016623 (2005).
[CrossRef]

Physica B (1)

G. W. Milton, N.-A. P. Nicorovici, and R. C. McPhedran, "Opaque perfect lenses," Physica B, in press, http://www.arxiv.org/abs/physics/0608225.

Physiol. Meas. (1)

A. Greenleaf, M. Lassas, and G. Uhlmann, "Anisotropic conductivities that cannot be detected by EIT," Physiol. Meas. 24413-419 (2003).
[CrossRef]

Proc. R. Soc. Lond. A (1)

G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy, "A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance," Proc. R. Soc. Lond. A 461, 3999-4034 (2005).

Proc. Roy. Soc. A (1)

G. W. Milton and N.-A. P. Nicorovici, "On the cloaking effects associated with anomalous localized resonance," Proc. Roy. Soc. A 462, 3027-3059 (2006).

Science (4)

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]

P. Sheng, "Waves on the horizon," Science 313, 1399-1400 (2006).
[CrossRef]

Science News (1)

P. Weiss, "Out of Sight: Physicists get serious about invisibility shields," Science News 170, 42-44 (2006).

Other (4)

Supporting Online Material, http://www.physics.usyd.edu.au/cudos/research/plasmon.html.

O. P. Bruno and S. Lintner, "Superlens-cloaking of small dielectric bodies in the quasistatic regime," submitted.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V.M. Shalaev, "Optical Cloaking with Non-MagneticMetamaterials," http://arxiv.org/pdf/physics/0611242.

A. Greenleaf, Y. Kurylev,M. Lassas, and G. Uhlmann, "Full-wave invisibility of active devices at all frequencies," http://arxiv.org/abs/math.AP/0611185.

Supplementary Material (5)

» Media 1: MOV (4569 KB)     
» Media 2: MOV (3159 KB)     
» Media 3: MOV (3607 KB)     
» Media 4: MOV (3597 KB)     
» Media 5: MOV (5050 KB)     

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