Abstract

We present measurements of transmission of infrared radiation through double-layer metallic grating structures. Each metal layer contains an array of subwavelength slits and supports transmission resonance in the absence of the other layer. The two metal layers are fabricated in close proximity to allow coupling of the evanescent field on individual layers. The transmission of the double layer is found to be surprisingly large at particular wavelengths, even when no direct line of sight exists through the structure as a result of the lateral shifts between the two layers. We perform numerical simulations using rigorous coupled wave analysis to explain the strong dependence of the peak transmission on the lateral shift between the metal layers.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
    [CrossRef] [PubMed]
  2. W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
    [CrossRef] [PubMed]
  3. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
    [CrossRef]
  4. J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, Phys. Rev. Lett. 83, 2845 (1999).
    [CrossRef]
  5. F. J. Garcia-Vidal, J. Sanchez-Dehesa, A. Dechelette, E. Bustarret, T. Lopez-Rios, T. Fournier, and B. Pannetier, J. Lightwave Technol. 17, 2191 (1999).
    [CrossRef]
  6. S. Astilean, P. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
    [CrossRef]
  7. Q. Cao and P. Lalanne, Phys. Rev. Lett. 88, 057403 (2002).
    [CrossRef] [PubMed]
  8. S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
    [CrossRef]
  9. M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, Phys. Rev. B 65, 125415 (2002).
    [CrossRef]
  10. A. Barbara, P. Quemerais, E. Bustarret, and T. Lopez-Rios, Phys. Rev. B 66, 161403 (2002).
    [CrossRef]
  11. I. R. Hooper and J. R. Sambles, Phys. Rev. B 70, 045421 (2004).
    [CrossRef]
  12. F. I. Baida and D. Van Labeke, Opt. Commun. 209, 17 (2002).
    [CrossRef]
  13. H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, Science 297, 820 (2002).
    [CrossRef] [PubMed]
  14. J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. E 69, 026601 (2004).
    [CrossRef]
  15. D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
    [CrossRef]
  16. H. J. Lezec and T. Thio, Opt. Express 12, 3629 (2004).
    [CrossRef] [PubMed]
  17. J. T. Shen and P. M. Platzman, Phys. Rev. B 70, 035101 (2004).
    [CrossRef]
  18. A. P. Hibbins, J. R. Sambles, C. R. Lawrence, and J. R. Brown, Phys. Rev. Lett. 92, 143904 (2004).
    [CrossRef] [PubMed]
  19. R. M. Bakker, V. P. Drachev, H. K. Yuan, and V. M. Shalaev, Opt. Express 12, 3701 (2004).
    [CrossRef] [PubMed]
  20. M. G. Moharam, D. A. Pommet, E. B. Grann, and T. K. Gaylord, J. Opt. Soc. Am. A 12, 1077 (1995).
    [CrossRef]
  21. E. D. Palik, ed., Handbook of Optical Constants of Solids (McGraw-Hill, 1950).

2004

J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. E 69, 026601 (2004).
[CrossRef]

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef] [PubMed]

I. R. Hooper and J. R. Sambles, Phys. Rev. B 70, 045421 (2004).
[CrossRef]

J. T. Shen and P. M. Platzman, Phys. Rev. B 70, 035101 (2004).
[CrossRef]

A. P. Hibbins, J. R. Sambles, C. R. Lawrence, and J. R. Brown, Phys. Rev. Lett. 92, 143904 (2004).
[CrossRef] [PubMed]

H. J. Lezec and T. Thio, Opt. Express 12, 3629 (2004).
[CrossRef] [PubMed]

R. M. Bakker, V. P. Drachev, H. K. Yuan, and V. M. Shalaev, Opt. Express 12, 3701 (2004).
[CrossRef] [PubMed]

2003

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

2002

Q. Cao and P. Lalanne, Phys. Rev. Lett. 88, 057403 (2002).
[CrossRef] [PubMed]

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, Phys. Rev. B 65, 125415 (2002).
[CrossRef]

A. Barbara, P. Quemerais, E. Bustarret, and T. Lopez-Rios, Phys. Rev. B 66, 161403 (2002).
[CrossRef]

F. I. Baida and D. Van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, Science 297, 820 (2002).
[CrossRef] [PubMed]

2000

S. Astilean, P. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
[CrossRef]

1999

1998

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

1995

1950

E. D. Palik, ed., Handbook of Optical Constants of Solids (McGraw-Hill, 1950).

Astilean, S.

S. Astilean, P. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
[CrossRef]

Baida, F. I.

F. I. Baida and D. Van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

Bakker, R. M.

Barbara, A.

A. Barbara, P. Quemerais, E. Bustarret, and T. Lopez-Rios, Phys. Rev. B 66, 161403 (2002).
[CrossRef]

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Bravo-Abad, J.

J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. E 69, 026601 (2004).
[CrossRef]

Brown, J. R.

A. P. Hibbins, J. R. Sambles, C. R. Lawrence, and J. R. Brown, Phys. Rev. Lett. 92, 143904 (2004).
[CrossRef] [PubMed]

Bustarret, E.

Cao, Q.

Q. Cao and P. Lalanne, Phys. Rev. Lett. 88, 057403 (2002).
[CrossRef] [PubMed]

Collin, S.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

de Fornel, F.

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

Dechelette, A.

Degiron, A.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, Science 297, 820 (2002).
[CrossRef] [PubMed]

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Devaux, E.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, Science 297, 820 (2002).
[CrossRef] [PubMed]

Drachev, V. P.

Ebbesen, T. W.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, Science 297, 820 (2002).
[CrossRef] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Fournier, T.

Garcia-Vidal, F. J.

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef] [PubMed]

J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. E 69, 026601 (2004).
[CrossRef]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, Science 297, 820 (2002).
[CrossRef] [PubMed]

F. J. Garcia-Vidal, J. Sanchez-Dehesa, A. Dechelette, E. Bustarret, T. Lopez-Rios, T. Fournier, and B. Pannetier, J. Lightwave Technol. 17, 2191 (1999).
[CrossRef]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, Phys. Rev. Lett. 83, 2845 (1999).
[CrossRef]

Gaylord, T. K.

Gerard, D.

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

Ghaemi, H. F.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Grann, E. B.

Hibbins, A. P.

A. P. Hibbins, J. R. Sambles, C. R. Lawrence, and J. R. Brown, Phys. Rev. Lett. 92, 143904 (2004).
[CrossRef] [PubMed]

Hooper, I. R.

I. R. Hooper and J. R. Sambles, Phys. Rev. B 70, 045421 (2004).
[CrossRef]

Knoll, W.

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, Phys. Rev. B 65, 125415 (2002).
[CrossRef]

Kreiter, M.

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, Phys. Rev. B 65, 125415 (2002).
[CrossRef]

Lalanne, P.

Q. Cao and P. Lalanne, Phys. Rev. Lett. 88, 057403 (2002).
[CrossRef] [PubMed]

S. Astilean, P. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
[CrossRef]

Lawrence, C. R.

A. P. Hibbins, J. R. Sambles, C. R. Lawrence, and J. R. Brown, Phys. Rev. Lett. 92, 143904 (2004).
[CrossRef] [PubMed]

Lezec, H. J.

H. J. Lezec and T. Thio, Opt. Express 12, 3629 (2004).
[CrossRef] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, Science 297, 820 (2002).
[CrossRef] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Linke, R. A.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, Science 297, 820 (2002).
[CrossRef] [PubMed]

Lopez-Rios, T.

Martin-Moreno, L.

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef] [PubMed]

J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. E 69, 026601 (2004).
[CrossRef]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, Science 297, 820 (2002).
[CrossRef] [PubMed]

Mittler, S.

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, Phys. Rev. B 65, 125415 (2002).
[CrossRef]

Moharam, M. G.

Palamaru, M.

S. Astilean, P. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
[CrossRef]

Palik, E. D.

E. D. Palik, ed., Handbook of Optical Constants of Solids (McGraw-Hill, 1950).

Pannetier, B.

Pardo, F.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

Pelouard, J. L.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

Pendry, J. B.

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef] [PubMed]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, Phys. Rev. Lett. 83, 2845 (1999).
[CrossRef]

Platzman, P. M.

J. T. Shen and P. M. Platzman, Phys. Rev. B 70, 035101 (2004).
[CrossRef]

Pommet, D. A.

Porto, J. A.

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, Phys. Rev. Lett. 83, 2845 (1999).
[CrossRef]

Quemerais, P.

A. Barbara, P. Quemerais, E. Bustarret, and T. Lopez-Rios, Phys. Rev. B 66, 161403 (2002).
[CrossRef]

Salomon, L.

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

Sambles, J. R.

A. P. Hibbins, J. R. Sambles, C. R. Lawrence, and J. R. Brown, Phys. Rev. Lett. 92, 143904 (2004).
[CrossRef] [PubMed]

I. R. Hooper and J. R. Sambles, Phys. Rev. B 70, 045421 (2004).
[CrossRef]

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, Phys. Rev. B 65, 125415 (2002).
[CrossRef]

Sanchez-Dehesa, J.

Shalaev, V. M.

Shen, J. T.

J. T. Shen and P. M. Platzman, Phys. Rev. B 70, 035101 (2004).
[CrossRef]

Teissier, R.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

Thio, T.

H. J. Lezec and T. Thio, Opt. Express 12, 3629 (2004).
[CrossRef] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Van Labeke, D.

F. I. Baida and D. Van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

Wolff, P. A.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Yuan, H. K.

Zayats, A. V.

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

J. Lightwave Technol.

J. Opt. A Pure Appl. Opt.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

J. Opt. Soc. Am. A

Nature

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Opt. Commun.

S. Astilean, P. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
[CrossRef]

F. I. Baida and D. Van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

Opt. Express

Phys. Rev. B

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, Phys. Rev. B 65, 125415 (2002).
[CrossRef]

A. Barbara, P. Quemerais, E. Bustarret, and T. Lopez-Rios, Phys. Rev. B 66, 161403 (2002).
[CrossRef]

I. R. Hooper and J. R. Sambles, Phys. Rev. B 70, 045421 (2004).
[CrossRef]

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

J. T. Shen and P. M. Platzman, Phys. Rev. B 70, 035101 (2004).
[CrossRef]

Phys. Rev. E

J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. E 69, 026601 (2004).
[CrossRef]

Phys. Rev. Lett.

A. P. Hibbins, J. R. Sambles, C. R. Lawrence, and J. R. Brown, Phys. Rev. Lett. 92, 143904 (2004).
[CrossRef] [PubMed]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, Phys. Rev. Lett. 83, 2845 (1999).
[CrossRef]

Q. Cao and P. Lalanne, Phys. Rev. Lett. 88, 057403 (2002).
[CrossRef] [PubMed]

Science

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, Science 297, 820 (2002).
[CrossRef] [PubMed]

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef] [PubMed]

Other

E. D. Palik, ed., Handbook of Optical Constants of Solids (McGraw-Hill, 1950).

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

(Color online) a, Insets, scanning electron micrograph of (left) the cross section of single-layer sample A and (right) double-layer sample B1. Measured transmission of TM polarized light through (dotted curve) sample A and (solid curve) sample B1. b, Transmission calculated by RCWA. Inset, cross-section schematic of the double-layer structure used in the calculations.

Fig. 2
Fig. 2

(Color online) Measured transmission for samples B1, B2 and B3 with lateral shifts of (dashed–dotted), 0.9, (dashed) 0.5, and (solid) 0 μ m respectively, between the two aluminum layers. Inset (filled circles) measured and (dotted curve) calculated peak transmission as a function of lateral shift. The solid curve is the calculated transmission scaled by a factor of 0.75.

Fig. 3
Fig. 3

Electromagnetic field distribution at resonance for, a, a single metal layer and, b–d, double layers with lateral shifts of 0, 0.5, and 1 μ m , respectively. Light is incident from the bottom with unit amplitude. The magnetic fields are directed out of the page, and the magnitude is represented by the color scale, whereas the arrows represent the electric fields. For simplicity, the silicon oxide layers are assumed to extend through all space above and below the metal layer.

Metrics