Abstract

We explore, both experimentally and theoretically, the existence in the millimeter-wave range of the phenomenon of extraordinary light transmission through arrays of subwavelength holes. We have measured the transmission spectra of several samples made on aluminum wafers by use of an AB Millimetre quasi-optical vector network analyzer in the wavelength range 4.2–6.5 mm. Clear signals of the existence of resonant light transmission at wavelengths close to the period of the array appear in the spectra.

© 2004 Optical Society of America

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  1. T. W. Ebbesen, H. J. Lezec, H. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
    [CrossRef]
  2. L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
    [CrossRef]
  3. J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, Science 305, 847 (2004).
    [CrossRef] [PubMed]
  4. D. Maystre, in Electromagnetic Surface Modes, A. D. Boardman, ed. (Wiley, New York, 1982).
  5. J. Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, Phys. Rev. B 68, 201306 (2003).
    [CrossRef]
  6. D. Qu, D. Grischkowsky, and W. Zhang, Opt. Lett. 29, 896 (2004).
    [CrossRef] [PubMed]
  7. Y.-H. Ye and J. Y. Zhang, Appl. Phys. Lett. 84, 2977 (2004).
    [CrossRef]
  8. H. Cao and A. Nahata, Opt. Express 12, 1004 (2004), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  9. R. Ulrich, Infrared Phys. 7, 37 (1967).
    [CrossRef]
  10. C. M. Rhoads, E. K. Damon, and B. A. Munk, Appl. Opt. 21, 2814 (1982).
    [CrossRef] [PubMed]
  11. F. Keilmann, Int. J. Infrared Millimeter Waves 2, 259 (1981).
    [CrossRef]
  12. R. C. McPhedran and D. Maystre, Appl. Phys. 14, 1 (1977).
  13. J. Bravo-Abad, F. J. García-Vidal, and L. Martin-Moreno are preparing a manuscript titled “Resonant transmission of light through finite chains of subwavelength holes.”
  14. As we are working in the subwavelength regime, considering just the two least decaying modes in each hole is enough to obtain accurate numerical results.

2004 (4)

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

D. Qu, D. Grischkowsky, and W. Zhang, Opt. Lett. 29, 896 (2004).
[CrossRef] [PubMed]

Y.-H. Ye and J. Y. Zhang, Appl. Phys. Lett. 84, 2977 (2004).
[CrossRef]

H. Cao and A. Nahata, Opt. Express 12, 1004 (2004), http://www.opticsexpress.org .
[CrossRef] [PubMed]

2003 (1)

J. Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, Phys. Rev. B 68, 201306 (2003).
[CrossRef]

2001 (1)

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

1998 (1)

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

1982 (1)

1981 (1)

F. Keilmann, Int. J. Infrared Millimeter Waves 2, 259 (1981).
[CrossRef]

1977 (1)

R. C. McPhedran and D. Maystre, Appl. Phys. 14, 1 (1977).

1967 (1)

R. Ulrich, Infrared Phys. 7, 37 (1967).
[CrossRef]

Bravo-Abad, J.

J. Bravo-Abad, F. J. García-Vidal, and L. Martin-Moreno are preparing a manuscript titled “Resonant transmission of light through finite chains of subwavelength holes.”

Cao, H.

Damon, E. K.

Ebbesen, T. W.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

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

García-Vidal, F. J.

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

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

J. Bravo-Abad, F. J. García-Vidal, and L. Martin-Moreno are preparing a manuscript titled “Resonant transmission of light through finite chains of subwavelength holes.”

Ghaemi, H.

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

Grischkowsky, D.

Haring Bolivar, P.

J. Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, Phys. Rev. B 68, 201306 (2003).
[CrossRef]

Keilmann, F.

F. Keilmann, Int. J. Infrared Millimeter Waves 2, 259 (1981).
[CrossRef]

Kurz, H.

J. Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, Phys. Rev. B 68, 201306 (2003).
[CrossRef]

Lezec, H. J.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

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

Martin-Moreno, L.

J. Bravo-Abad, F. J. García-Vidal, and L. Martin-Moreno are preparing a manuscript titled “Resonant transmission of light through finite chains of subwavelength holes.”

Martín-Moreno, L.

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

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

Maystre, D.

R. C. McPhedran and D. Maystre, Appl. Phys. 14, 1 (1977).

D. Maystre, in Electromagnetic Surface Modes, A. D. Boardman, ed. (Wiley, New York, 1982).

McPhedran, R. C.

R. C. McPhedran and D. Maystre, Appl. Phys. 14, 1 (1977).

Munk, B. A.

Nahata, A.

Pellerin, K. M.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

Pendry, J. B.

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

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

Qu, D.

Rhoads, C. M.

Rivas, J.

J. Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, Phys. Rev. B 68, 201306 (2003).
[CrossRef]

Schotsch, C.

J. Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, Phys. Rev. B 68, 201306 (2003).
[CrossRef]

Thio, T.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

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

Ulrich, R.

R. Ulrich, Infrared Phys. 7, 37 (1967).
[CrossRef]

Wolff, P. A.

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

Ye, Y.-H.

Y.-H. Ye and J. Y. Zhang, Appl. Phys. Lett. 84, 2977 (2004).
[CrossRef]

Zhang, J. Y.

Y.-H. Ye and J. Y. Zhang, Appl. Phys. Lett. 84, 2977 (2004).
[CrossRef]

Zhang, W.

Appl. Opt. (1)

Appl. Phys. (1)

R. C. McPhedran and D. Maystre, Appl. Phys. 14, 1 (1977).

Appl. Phys. Lett. (1)

Y.-H. Ye and J. Y. Zhang, Appl. Phys. Lett. 84, 2977 (2004).
[CrossRef]

Infrared Phys. (1)

R. Ulrich, Infrared Phys. 7, 37 (1967).
[CrossRef]

Int. J. Infrared Millimeter Waves (1)

F. Keilmann, Int. J. Infrared Millimeter Waves 2, 259 (1981).
[CrossRef]

Nature (1)

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

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. B (1)

J. Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, Phys. Rev. B 68, 201306 (2003).
[CrossRef]

Phys. Rev. Lett. (1)

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

Science (1)

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

Other (3)

D. Maystre, in Electromagnetic Surface Modes, A. D. Boardman, ed. (Wiley, New York, 1982).

J. Bravo-Abad, F. J. García-Vidal, and L. Martin-Moreno are preparing a manuscript titled “Resonant transmission of light through finite chains of subwavelength holes.”

As we are working in the subwavelength regime, considering just the two least decaying modes in each hole is enough to obtain accurate numerical results.

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Figures (3)

Fig. 1
Fig. 1

(a) Photographs of two of the six samples analyzed in the experiment (left, R=1.25 mm, w=0.5 mm; right, R=1 mm, w=0.5 mm). (b) Photograph of the experimental setup: A, corrugated horn antenna acting as source of millimeter waves; B, sample; C, receptor antenna.

Fig. 2
Fig. 2

Theoretical zeroth-order transmittance spectra corresponding to different infinite hole arrays with (a) R=1.25 mm and (b) R=1 mm. The inset in (b) represents the same physical quantity but for a smaller range of wavelengths.

Fig. 3
Fig. 3

Experimental transmittance spectra (solid curves) and theoretical total transmittance curves (dashed curves) for the 31×31 arrays corresponding to the same geometric parameters as in Fig. 2. Different hole arrays with (a) R=1.25 mm and (b) R=1 mm are analyzed.

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