Abstract

Metamaterials are being used to model various exotic “optical spaces” for such applications as novel lenses and cloaking. While most efforts are directed toward the engineering of continuously changing dielectric permittivity and magnetic permeability tensors, an alternative approach may be based on lattices of metamaterial waveguides. Here we demonstrate the power of the latter technique by presenting metamaterial lattice models of various four-dimensional spaces.

© 2011 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
    [CrossRef]
  2. U. Leonhardt, Science 312, 1777 (2006).
    [CrossRef]
  3. U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006).
    [CrossRef]
  4. X. Liu, C. Li, K. Yao, X. Meng, and F. Li, IEEE Antennas Wireless Propagat. Lett. 8, 1154 (2009).
    [CrossRef]
  5. P. Alitalo, F. Bongard, J.-F. Zürcher, J. Mosig, and S. Tretyakov, Appl. Phys. Lett. 94, 014103 (2009).
    [CrossRef]
  6. U. Leonhardt and T. Tyc, Science 323, 110 (2009).
    [CrossRef]
  7. A. Louri, S. Furlonge, and C. Neocleous, Appl. Opt. 35, 6909 (1996).
    [CrossRef]
  8. J. Gray, Ideas of Space: Euclidean, Non-Euclidean, and Relativistic (Clarendon, 1989).
  9. I. I. Smolyaninov, Phys. Rev. D 65, 047503 (2002).
    [CrossRef]
  10. B. Edwards, A. Alu, M. E. Young, M. Silveirinha, and N. Engheta, Phys. Rev. Lett. 100, 033903 (2008).
    [CrossRef]
  11. I. I. Smolyaninov, J. Opt. 13, 024004 (2011).
    [CrossRef]

2011

I. I. Smolyaninov, J. Opt. 13, 024004 (2011).
[CrossRef]

2009

X. Liu, C. Li, K. Yao, X. Meng, and F. Li, IEEE Antennas Wireless Propagat. Lett. 8, 1154 (2009).
[CrossRef]

P. Alitalo, F. Bongard, J.-F. Zürcher, J. Mosig, and S. Tretyakov, Appl. Phys. Lett. 94, 014103 (2009).
[CrossRef]

U. Leonhardt and T. Tyc, Science 323, 110 (2009).
[CrossRef]

2008

B. Edwards, A. Alu, M. E. Young, M. Silveirinha, and N. Engheta, Phys. Rev. Lett. 100, 033903 (2008).
[CrossRef]

2006

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

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

U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006).
[CrossRef]

2002

I. I. Smolyaninov, Phys. Rev. D 65, 047503 (2002).
[CrossRef]

1996

1989

J. Gray, Ideas of Space: Euclidean, Non-Euclidean, and Relativistic (Clarendon, 1989).

Alitalo, P.

P. Alitalo, F. Bongard, J.-F. Zürcher, J. Mosig, and S. Tretyakov, Appl. Phys. Lett. 94, 014103 (2009).
[CrossRef]

Alu, A.

B. Edwards, A. Alu, M. E. Young, M. Silveirinha, and N. Engheta, Phys. Rev. Lett. 100, 033903 (2008).
[CrossRef]

Bongard, F.

P. Alitalo, F. Bongard, J.-F. Zürcher, J. Mosig, and S. Tretyakov, Appl. Phys. Lett. 94, 014103 (2009).
[CrossRef]

Edwards, B.

B. Edwards, A. Alu, M. E. Young, M. Silveirinha, and N. Engheta, Phys. Rev. Lett. 100, 033903 (2008).
[CrossRef]

Engheta, N.

B. Edwards, A. Alu, M. E. Young, M. Silveirinha, and N. Engheta, Phys. Rev. Lett. 100, 033903 (2008).
[CrossRef]

Furlonge, S.

Gray, J.

J. Gray, Ideas of Space: Euclidean, Non-Euclidean, and Relativistic (Clarendon, 1989).

Leonhardt, U.

U. Leonhardt and T. Tyc, Science 323, 110 (2009).
[CrossRef]

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

U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006).
[CrossRef]

Li, C.

X. Liu, C. Li, K. Yao, X. Meng, and F. Li, IEEE Antennas Wireless Propagat. Lett. 8, 1154 (2009).
[CrossRef]

Li, F.

X. Liu, C. Li, K. Yao, X. Meng, and F. Li, IEEE Antennas Wireless Propagat. Lett. 8, 1154 (2009).
[CrossRef]

Liu, X.

X. Liu, C. Li, K. Yao, X. Meng, and F. Li, IEEE Antennas Wireless Propagat. Lett. 8, 1154 (2009).
[CrossRef]

Louri, A.

Meng, X.

X. Liu, C. Li, K. Yao, X. Meng, and F. Li, IEEE Antennas Wireless Propagat. Lett. 8, 1154 (2009).
[CrossRef]

Mosig, J.

P. Alitalo, F. Bongard, J.-F. Zürcher, J. Mosig, and S. Tretyakov, Appl. Phys. Lett. 94, 014103 (2009).
[CrossRef]

Neocleous, C.

Pendry, J. B.

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

Philbin, T. G.

U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006).
[CrossRef]

Schurig, D.

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

Silveirinha, M.

B. Edwards, A. Alu, M. E. Young, M. Silveirinha, and N. Engheta, Phys. Rev. Lett. 100, 033903 (2008).
[CrossRef]

Smith, D. R.

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

Smolyaninov, I. I.

I. I. Smolyaninov, J. Opt. 13, 024004 (2011).
[CrossRef]

I. I. Smolyaninov, Phys. Rev. D 65, 047503 (2002).
[CrossRef]

Tretyakov, S.

P. Alitalo, F. Bongard, J.-F. Zürcher, J. Mosig, and S. Tretyakov, Appl. Phys. Lett. 94, 014103 (2009).
[CrossRef]

Tyc, T.

U. Leonhardt and T. Tyc, Science 323, 110 (2009).
[CrossRef]

Yao, K.

X. Liu, C. Li, K. Yao, X. Meng, and F. Li, IEEE Antennas Wireless Propagat. Lett. 8, 1154 (2009).
[CrossRef]

Young, M. E.

B. Edwards, A. Alu, M. E. Young, M. Silveirinha, and N. Engheta, Phys. Rev. Lett. 100, 033903 (2008).
[CrossRef]

Zürcher, J.-F.

P. Alitalo, F. Bongard, J.-F. Zürcher, J. Mosig, and S. Tretyakov, Appl. Phys. Lett. 94, 014103 (2009).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

P. Alitalo, F. Bongard, J.-F. Zürcher, J. Mosig, and S. Tretyakov, Appl. Phys. Lett. 94, 014103 (2009).
[CrossRef]

IEEE Antennas Wireless Propagat. Lett.

X. Liu, C. Li, K. Yao, X. Meng, and F. Li, IEEE Antennas Wireless Propagat. Lett. 8, 1154 (2009).
[CrossRef]

J. Opt.

I. I. Smolyaninov, J. Opt. 13, 024004 (2011).
[CrossRef]

New J. Phys.

U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006).
[CrossRef]

Phys. Rev. D

I. I. Smolyaninov, Phys. Rev. D 65, 047503 (2002).
[CrossRef]

Phys. Rev. Lett.

B. Edwards, A. Alu, M. E. Young, M. Silveirinha, and N. Engheta, Phys. Rev. Lett. 100, 033903 (2008).
[CrossRef]

Science

U. Leonhardt and T. Tyc, Science 323, 110 (2009).
[CrossRef]

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

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

Other

J. Gray, Ideas of Space: Euclidean, Non-Euclidean, and Relativistic (Clarendon, 1989).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics