OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 26 — Dec. 25, 2006
  • pp: 12950–12957

Finite checkerboards of dissipative negative refractive index

Sangeeta Chakrabarti, S. Anantha Ramakrishna, and S. Guenneau  »View Author Affiliations


Optics Express, Vol. 14, Issue 26, pp. 12950-12957 (2006)
http://dx.doi.org/10.1364/OE.14.012950


View Full Text Article

Enhanced HTML    Acrobat PDF (278 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The electromagnetic properties of finite checkerboards consisting of alternating rectangular cells of positive refractive index (ε=+1, μ=+1) and negative refractive index (ε=-1, μ=-1) have been investigated numerically. We show that the numerical calculations have to be carried out with very fine discretization to accurately model the highly singular behaviour of these checkerboards. Our solutions show that, within the accuracy of the numerical calculations, the focussing properties of these checkerboards are reasonably robust in the presence of moderate levels of dissipation. We also show that even small systems of checkerboards can display focussing effects to some extent.

© 2006 Optical Society of America

OCIS Codes
(240.6680) Optics at surfaces : Surface plasmons
(260.2110) Physical optics : Electromagnetic optics
(260.3910) Physical optics : Metal optics

ToC Category:
Metamaterials

History
Original Manuscript: August 7, 2006
Revised Manuscript: October 10, 2006
Manuscript Accepted: October 10, 2006
Published: December 22, 2006

Citation
Sangeeta Chakrabarti, S. Anantha Ramakrishna, and S. Guenneau, "Finite checkerboards of dissipative negative refractive index," Opt. Express 14, 12950-12957 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-26-12950


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. S.A. Ramakrishna, "Physics of negative refractive index materials," Rep. Prog. Phys. 68, 449-521 (2005) [CrossRef]
  2. J.B. Pendry, "Negative refraction," Contemp. Phys. 45, 191-202 (2004) [CrossRef]
  3. T. Itoh and C. Caloz, Electromagnetic Metamaterials, (Wiley-Interscience, New Jersey, 2006)
  4. J.B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85,3966-3969 (2000) "Negative refraction makes a perfect lens", Phys. Rev. Lett. 85, 3966-3969 (2000) [CrossRef] [PubMed]
  5. V.G. Veselago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Uspekhi 10, 509-514 (1968)
  6. S.A. Ramakrishna, J.B. Pendry, D. Schurig, D.R. Smith and S. Schultz, "The asymmetric lossy near-perfect lens," J. Mod. Opt. 491747-1762 (2002) [CrossRef]
  7. D.R. Smith, D. Schurig, M. Rosenbluth, S. Schultz, S.A. Ramakrishna and J.B. Pendry, "Limitations on Sub-Diffraction Imaging with a Negative Refractive Index Slab," Appl. Phys. Lett. 82, 1506-1508 (2003) [CrossRef]
  8. J.B. Pendry, S.A. Ramakrishna, "Focussing light using negative refraction," J. Phys. Cond.Matter 15, 6345-6364 (2003) [CrossRef]
  9. S. Guenneau, B. Gralak and J.B. Pendry, "Perfect corner reflector" Opt. Lett. 30, 1204-1206 (2005) [CrossRef] [PubMed]
  10. S. Guenneau, A.C. Vutha and S.A. Ramakrishna, "Negative refraction in 2D checkerboards related by mirror anti-symmetry and 3D corner lenses," New J. Phys. 7, 164 (2005) [CrossRef]
  11. A.A. Sukhorukov, I.V. Shadrivov, Y.S. Kivshar, "Waves scattering by metamaterial wedges and interfaces," Int. J. Numer. Model. 19, 105-117 (2006) [CrossRef]
  12. X. S. Rao and C.K. Ong,"Subwavelength imaging by a left-handed material superlens," Phys. Rev. E 68, 067601 (2003) [CrossRef]
  13. R. Ziolkowski, "Pulsed and CW Gaussian beam interactions with double negative metamaterial slabs," Opt. Express 11, 662-681 (2003) [CrossRef] [PubMed]
  14. J. J. Chen, T. M. Grzegorczyk, B. -I. Wu, and J. A. Kong, "Limitation of FDTD in simulation of a perfect lens imaging system," Opt. Express 13, 10840-10845 (2005) [CrossRef] [PubMed]
  15. J.B. Pendry and A. Mackinnon, "Calculation of photon dispersion-relations," Phys. Rev. Lett. 69, 2772-2775 (1992) [CrossRef] [PubMed]
  16. P.M. Bell, J.B. Pendry, L.M. Moreno, A.J. Ward, "A program for calculating photonic band structures and transmission coefficients of complex structures," Comput. Phys. Commun. 85, 206-233 (1995) [CrossRef]
  17. J.B. Pendry,"Photonic band structures," Jour. Mod. Opt. 41, No. 2, 209-229 (1994) [CrossRef]
  18. S. Cummer, "Simulated causal subwavelength focussing by an negative refractive index slab" Appl. Phys. Lett. 82, 1503-1505 (2003) [CrossRef]
  19. N. Fang, H. Lee, C. Sun, X. Zhang, "Sub-diffraction-limited optical imaging with a sliver superlens," Science 308, 534-537 (2005) [CrossRef] [PubMed]
  20. A. Bossavit, "Solving Maxwell equations in a closed cavity, and the question of spurious modes," IEEE Trans. Mag. 26, 702-705 (1990) [CrossRef]
  21. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comp. Phy. 114, 185-200 (1994) [CrossRef]
  22. D. Maystre and S. Enoch, "Perfect lenses made with left-handed materials: Alice’s mirror," J. Opt. Soc. Am. A 21, 122-131 (2004) [CrossRef]
  23. G.W. Milton and N.A. Nicorovici "On the cloaking effects associated with anomalous localised resonance," Proc. Roy. Lond. A 462, 3027-3059 (2006) [CrossRef]
  24. T.J. Cui, Q. Cheng, W.B. Lu, Q. Jiang and J.A. Kong, "Localization fo electromagnetic energy using a lefthanded-medium slab," Phys. Rev. B 71, 045114 (2005) [CrossRef]
  25. A.D. Boardman and K. Marinov, "Non-radiating and radiating configurations driven by left-handed materials," J. Opt. Soc. Am. B 23, 543 (2006) [CrossRef]

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.

Figures

Fig. 1. Fig. 2. Fig. 3.
 
Fig. 4.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited