OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 10 — May. 14, 2007
  • pp: 6314–6323

Quasistatic cloaking of two-dimensional polarizable discrete systems by anomalous resonance

Nicolae-Alexandru P. Nicorovici, Graeme W. Milton, Ross C. McPhedran, and Lindsay C. Botten  »View Author Affiliations

Optics Express, Vol. 15, Issue 10, pp. 6314-6323 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (4059 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

OCIS Codes
(160.4760) Materials : Optical properties
(260.2110) Physical optics : Electromagnetic optics
(260.5740) Physical optics : Resonance
(350.7420) Other areas of optics : Waves

ToC Category:
Physical Optics

Original Manuscript: March 22, 2007
Revised Manuscript: May 3, 2007
Manuscript Accepted: May 4, 2007
Published: May 7, 2007

N. A. Nicorovici, G. W. Milton, R. C. McPhedran, and L. C. Botten, "Quasistatic cloaking of two-dimensional polarizable discrete systems by anomalous resonance," Opt. Express 15, 6314-6323 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  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. 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]
  4. A. Greenleaf, M. Lassas, and G. Uhlmann, "Anisotropic conductivities that cannot be detected by EIT," Physiol. Meas. 24413-419 (2003). [CrossRef] [PubMed]
  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). [CrossRef]
  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). [CrossRef]
  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). [CrossRef]
  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. [CrossRef]
  15. M. Kerker, "Invisible bodies," J. Opt. Soc. Am. 65, 376-379 (1975). [CrossRef]
  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). [CrossRef]
  19. D. A. B. Miller, "On perfect cloaking," Opt. Express 14, 12457-12466 (2006). [CrossRef] [PubMed]
  20. P. Sheng, "Waves on the horizon," Science 313, 1399-1400 (2006). [CrossRef] [PubMed]
  21. P. Weiss, "Out of Sight: Physicists get serious about invisibility shields," Science News 170, 42-44 (2006). [CrossRef]
  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.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Supplementary Material

» 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)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited