Abstract

Discrete plasmonic Talbot effect in the subwavelength metal waveguide arrays (SMWAS) is theoretically analyzed and numerically simulated. Based on the finite-difference time-domain technique, we discuss the influence of the structural parameters on the Talbot distance. By carefully choosing the geometry parameters, the Talbot distance decreases to about one third of the incident wavelength. The numerical simulation results agree with the theory of the discrete Talbot effect in the SMWAS.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer, 1988).
  2. H. F. Talbot, Philos. Mag. 9, 401 (1836).
  3. D. Mehuys, W. Streifer, R. G. Waarts, and D. F. Welch, Opt. Lett. 16, 823 (1991).
    [CrossRef] [PubMed]
  4. J. Azana, Opt. Lett. 30, 227 (2005).
    [CrossRef] [PubMed]
  5. L. Liu, Opt. Lett. 14, 1312 (1989).
    [CrossRef] [PubMed]
  6. L. Liu, Appl. Opt. 28, 4668 (1989).
    [CrossRef] [PubMed]
  7. M. R. Dennis, N. I. Zheludev, and F. J. Garc'ıa de Abajo, Opt. Express 15, 9692 (2007).
    [CrossRef] [PubMed]
  8. A. A. Maradudin and T. A. Leskova, New J. Phys. 11, 033004 (2009).
    [CrossRef]
  9. W. W. Zhang, C. L. Zhao, J. Y. Wang, and J. S. Zhang, Opt. Express 17, 19757 (2009).
    [CrossRef] [PubMed]
  10. X. Fan, G. Wang, J. Lee, and C. T. Chan, Phys. Rev. Lett. 97, 073901 (2006).
    [CrossRef] [PubMed]
  11. Y. M. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
    [CrossRef] [PubMed]
  12. L. Verslegers, P. B. Catrysse, Z. F. Yu, and S. H. Fan, Phys. Rev. Lett. 103, 033902 (2009).
    [CrossRef] [PubMed]
  13. W. H. Lin, X. Zhou, G. P. Wang, and C. T. Chan, Appl. Phys. Lett. 91, 243113 (2007).
    [CrossRef]
  14. R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 95, 053902 (2005).
    [CrossRef] [PubMed]
  15. T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
    [CrossRef] [PubMed]
  16. E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1985).
  17. A. Taflove and S. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, 2000).
  18. M. D. Feit and J. A. Fleck, Appl. Opt. 17, 3990 (1978).
    [CrossRef] [PubMed]

2009

A. A. Maradudin and T. A. Leskova, New J. Phys. 11, 033004 (2009).
[CrossRef]

W. W. Zhang, C. L. Zhao, J. Y. Wang, and J. S. Zhang, Opt. Express 17, 19757 (2009).
[CrossRef] [PubMed]

L. Verslegers, P. B. Catrysse, Z. F. Yu, and S. H. Fan, Phys. Rev. Lett. 103, 033902 (2009).
[CrossRef] [PubMed]

2007

W. H. Lin, X. Zhou, G. P. Wang, and C. T. Chan, Appl. Phys. Lett. 91, 243113 (2007).
[CrossRef]

M. R. Dennis, N. I. Zheludev, and F. J. Garc'ıa de Abajo, Opt. Express 15, 9692 (2007).
[CrossRef] [PubMed]

Y. M. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef] [PubMed]

2006

X. Fan, G. Wang, J. Lee, and C. T. Chan, Phys. Rev. Lett. 97, 073901 (2006).
[CrossRef] [PubMed]

2005

J. Azana, Opt. Lett. 30, 227 (2005).
[CrossRef] [PubMed]

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 95, 053902 (2005).
[CrossRef] [PubMed]

2002

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

1991

1989

1978

1836

H. F. Talbot, Philos. Mag. 9, 401 (1836).

Azana, J.

Bartal, G.

Y. M. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef] [PubMed]

Brauer, A.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Catrysse, P. B.

L. Verslegers, P. B. Catrysse, Z. F. Yu, and S. H. Fan, Phys. Rev. Lett. 103, 033902 (2009).
[CrossRef] [PubMed]

Chan, C. T.

W. H. Lin, X. Zhou, G. P. Wang, and C. T. Chan, Appl. Phys. Lett. 91, 243113 (2007).
[CrossRef]

X. Fan, G. Wang, J. Lee, and C. T. Chan, Phys. Rev. Lett. 97, 073901 (2006).
[CrossRef] [PubMed]

Christodoulides, D. N.

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 95, 053902 (2005).
[CrossRef] [PubMed]

Dennis, M. R.

Fan, S. H.

L. Verslegers, P. B. Catrysse, Z. F. Yu, and S. H. Fan, Phys. Rev. Lett. 103, 033902 (2009).
[CrossRef] [PubMed]

Fan, X.

X. Fan, G. Wang, J. Lee, and C. T. Chan, Phys. Rev. Lett. 97, 073901 (2006).
[CrossRef] [PubMed]

Feit, M. D.

Fleck, J. A.

Garc'ia de Abajo, F. J.

Genov, D. A.

Y. M. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef] [PubMed]

Hagness, S.

A. Taflove and S. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, 2000).

Iwanow, R.

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 95, 053902 (2005).
[CrossRef] [PubMed]

Lederer, F.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Lee, J.

X. Fan, G. Wang, J. Lee, and C. T. Chan, Phys. Rev. Lett. 97, 073901 (2006).
[CrossRef] [PubMed]

Leskova, T. A.

A. A. Maradudin and T. A. Leskova, New J. Phys. 11, 033004 (2009).
[CrossRef]

Lin, W. H.

W. H. Lin, X. Zhou, G. P. Wang, and C. T. Chan, Appl. Phys. Lett. 91, 243113 (2007).
[CrossRef]

Liu, L.

Liu, Y. M.

Y. M. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef] [PubMed]

Maradudin, A. A.

A. A. Maradudin and T. A. Leskova, New J. Phys. 11, 033004 (2009).
[CrossRef]

May-Arrioja, D. A.

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 95, 053902 (2005).
[CrossRef] [PubMed]

Mehuys, D.

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1985).

Pertsch, T.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Peschel, U.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Raether, H.

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer, 1988).

Stegeman, G. I.

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 95, 053902 (2005).
[CrossRef] [PubMed]

Streifer, W.

Taflove, A.

A. Taflove and S. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, 2000).

Talbot, H. F.

H. F. Talbot, Philos. Mag. 9, 401 (1836).

Verslegers, L.

L. Verslegers, P. B. Catrysse, Z. F. Yu, and S. H. Fan, Phys. Rev. Lett. 103, 033902 (2009).
[CrossRef] [PubMed]

Waarts, R. G.

Wang, G.

X. Fan, G. Wang, J. Lee, and C. T. Chan, Phys. Rev. Lett. 97, 073901 (2006).
[CrossRef] [PubMed]

Wang, G. P.

W. H. Lin, X. Zhou, G. P. Wang, and C. T. Chan, Appl. Phys. Lett. 91, 243113 (2007).
[CrossRef]

Wang, J. Y.

Welch, D. F.

Yu, Z. F.

L. Verslegers, P. B. Catrysse, Z. F. Yu, and S. H. Fan, Phys. Rev. Lett. 103, 033902 (2009).
[CrossRef] [PubMed]

Zentgraf, T.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Zhang, J. S.

Zhang, W. W.

Zhang, X.

Y. M. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef] [PubMed]

Zhao, C. L.

Zheludev, N. I.

Zhou, X.

W. H. Lin, X. Zhou, G. P. Wang, and C. T. Chan, Appl. Phys. Lett. 91, 243113 (2007).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

W. H. Lin, X. Zhou, G. P. Wang, and C. T. Chan, Appl. Phys. Lett. 91, 243113 (2007).
[CrossRef]

New J. Phys.

A. A. Maradudin and T. A. Leskova, New J. Phys. 11, 033004 (2009).
[CrossRef]

Opt. Express

Opt. Lett.

Philos. Mag.

H. F. Talbot, Philos. Mag. 9, 401 (1836).

Phys. Rev. Lett.

X. Fan, G. Wang, J. Lee, and C. T. Chan, Phys. Rev. Lett. 97, 073901 (2006).
[CrossRef] [PubMed]

Y. M. Liu, G. Bartal, D. A. Genov, and X. Zhang, Phys. Rev. Lett. 99, 153901 (2007).
[CrossRef] [PubMed]

L. Verslegers, P. B. Catrysse, Z. F. Yu, and S. H. Fan, Phys. Rev. Lett. 103, 033902 (2009).
[CrossRef] [PubMed]

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 95, 053902 (2005).
[CrossRef] [PubMed]

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Other

E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1985).

A. Taflove and S. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, 2000).

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer, 1988).

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.


Figures (3)

Fig. 1
Fig. 1

(a) Schematic diagram of the subwavelength metal waveguide arrays, the incident angle is ϕ and the incident wavelength is 632.8 nm; (b) dependence of the propagation constant β a on the d 1 and d 2 ; (c) dependence of the propagation constant β s on the d 1 and d 2 ; (d) dependence of Talbot distance on the d 1 and d 2 .

Fig. 2
Fig. 2

Steady magnetic field ( | H y | 2 ) distributions for d 2 = 20   nm and λ 0 = 632.8   nm : (a) d 1 = 20   nm , (b) d 1 = 30   nm , (c) d 1 = 40   nm , and (d) d 1 = 50   nm .

Fig. 3
Fig. 3

(a) Dependence of the propagation constants β s , β a and the Talbot distance of SPPs on the incident λ 0 for d 1 = 10   nm and d 2 = 50   nm . Steady magnetic field ( | H y | 2 ) distributions for (b) λ 0 = 500   nm , (c) λ 0 = 600   nm , (d) λ 0 = 700   nm , and (e) λ 0 = 800   nm .

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

i d t n ( x ) d x + ξ [ t n 1 ( x ) + t n + 1 ( x ) ] = 0 ,
d t a l b o t = π / 2 ξ   cos ( ϕ ) ,
( 1 f ) ( 1 + f ) = ± e d 1 p ,
f = [ ( ε m k + ε d p ) ( ε m k ε d p ) e 2 k d 2 ] ε m k [ ( ε m k + ε d p ) + ( ε m k ε d p ) e 2 k d 2 ] ε d p ,
ε ( ω ) = ε ω p 2 / [ ω ( ω i γ ) ] .

Metrics