Abstract

Recent demonstrations have shown that the transmission through a subwavelength aperture in metal film placed in a periodic lattice or an aperiodic structure is significantly increased relative to a bare aperture. Using terahertz time-domain spectroscopy, we analyze the enhanced transmission properties of aperiodic and corresponding random 2D aperture arrays perforated in metallic films, which include quasicrystals and quasicrystal approximates. We demonstrate that the transmission enhancement phenomenon occurs for aperture arrays having discrete Fourier components in the 2D geometrical structure factor. We further show that the phenomenon is valid for a larger class of 2D aperture array designs that can be tailored to exhibit desired resonances and hence is more general. The inherent relationship between various features observed in the measured time-domain electric field, calculated transmission spectra, and the real and reciprocal space representation of the aperture array is discussed in detail. The results are interpreted in terms of Fano-type interference mechanism. The importance of antiresonance features observed in the transmission spectra is also discussed.

© 2007 Optical Society of America

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    [CrossRef]
  2. W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
    [CrossRef]
  3. L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, "Theory of extraordinary optical transmission through subwavelength hole arrays," Phys. Rev. Lett. 86, 1114-1117 (2001).
    [CrossRef]
  4. E. Popov, M. Neviere, S. Enoch, and R. Reinisch, "Theory of light transmission through subwavelength periodic hole arrays," Phys. Rev. B 62, 16100-16108 (2000).
    [CrossRef]
  5. H. J. Lezec and T. Thio, "Diffraction evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays," Opt. Express 12, 3629-3651 (2004).
    [CrossRef]
  6. M. M. J. Treacy, "Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings," Phys. Rev. B 66, 195105 (2002).
    [CrossRef]
  7. J. Gomez Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68, 201306 (2003).
    [CrossRef]
  8. H. Cao and A. Nahata, "Resonantly enhanced transmission of terahertz radiation through a periodic array of subwavelength apertures," Opt. Express 12, 1004-1010 (2004).
    [CrossRef]
  9. D. Qu, D. Grischkowsky, and W. Zhang, "Terahertz transmission properties of thin, subwavelength metallic hole arrays," Opt. Lett. 29, 896-898 (2004).
    [CrossRef]
  10. F. Miyamaru and M. Hangyo, "Finite size effect of transmission property for metal hole arrays in subterahertz region," Appl. Phys. Lett. 84, 2742-2744 (2004).
    [CrossRef]
  11. W. L. Barnes, W. A. Murray, J. Dintinger, E. Devaux, and T. W. Ebbesen, "Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of sub-wavelength holes in a metal film," Phys. Rev. Lett. 92, 107401 (2004).
    [CrossRef]
  12. T. Matsui, A. Agrawal, A. Nahata, and Z. V. Vardeny, "Transmission resonances through aperiodic arrays of subwavelength apertures," Nature 446, 517-521 (2007).
    [CrossRef]
  13. M. Sun, J. Tian, Z. Y. Li, B.-Y. Cheng, D.-Z. Zhang, A.-Z. Jin, and H.-F. Yang, "The role of periodicity in enhanced transmission through subwavelength hole arrays," Chin. Phys. Lett. 23, 486-488 (2006).
    [CrossRef]
  14. F. Przybilla, C. Genet, and T. W. Ebbesen, "Enhanced transmission through Penrose subwavelength hole arrays," Appl. Phys. Lett. 89, 121115 (2006).
    [CrossRef]
  15. N. Papasimakis, V. A. Fedotov, F. J. Garcia de Abajo, A. S. Schwanecke, and N. I. Zheludev, "Enhanced microwave transmission through quasicrystal hole arrays," arXiv:0704.2552v1 (2007).
  16. A. Agrawal, H. Cao, and A. Nahata, "Time-domain analysis of enhanced transmission through a single subwavelength aperture," Opt. Express 13, 3535-3542 (2005).
    [CrossRef]
  17. C. Janot, Quasicrystals: A Primer, 2nd ed. (Oxford U. Press, 1994).
  18. D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, "Metallic phase with long-range orientational order and no translational symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984).
    [CrossRef]
  19. D. Levine and P. J. Steinhardt, "Quasicrystals: a new class of ordered structures," Phys. Rev. Lett. 53, 2477-2480 (1984).
    [CrossRef]
  20. M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, "Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals," J. Phys.: Condens. Matter 13, 10459-10470 (2001).
    [CrossRef]
  21. L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light transport through the band-edge states of Fibonacci quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
    [CrossRef]
  22. B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006).
    [CrossRef]
  23. D. Grischkowsky, in Frontiers in Nonlinear Optics, H.Walther, N.Koroteev, and M.O.Scully, eds. (Institute of Physics Publishing, 1992), and references therein.
  24. F. J. Garcia de Abajo, J. J. Saenz, I. Campillo, and J. S. Dolado, "Site and lattice resonances in metallic hole arrays," Opt. Express 14, 7-18 (2006).
    [CrossRef]
  25. R. Penrose, "The role of aesthetics in pure and applied mathematical research," Bull. Inst. Math. Appl. 10, 266-271 (1974).
  26. M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740-743 (2000).
    [CrossRef]
  27. P. A. Stampfli, "Dodecagonal quasiperiodic lattice in two dimensions," Helv. Phys. Acta 59, 1260-1263 (1986).
  28. M. Oxborrow and L. C. Henley, "Random square-triangle tilings: a model for twelve-fold symmetric quasicrystals," Phys. Rev. B 48, 6966-6998 (1993).
    [CrossRef]
  29. H. F. Ghaemi, T. Thio, D. E. Grupp, T. W. Ebbesen, and H. J. Lezec, "Surface plasmons enhance optical transmission through subwavelength holes," Phys. Rev. B 83, 6779-6782 (1998).
    [CrossRef]
  30. H. Cao and A. Nahata, "Influence of aperture shape on transmission properties of a periodic array of subwavelength apertures," Opt. Express 12, 3664-3672 (2004).
    [CrossRef]
  31. J. E. S. Socolar, "Simple octagonal and dodecagonal quasicrystals," Phys. Rev. B 39, 10519 (1989).
    [CrossRef]
  32. T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, "Surface plasmon enhanced transmission through hole arrays in Cr films," J. Opt. Soc. Am. B 16, 1743-1748 (1999).
  33. M. Sarrazin, J. P. Vigneron, and J. M. Vigoureux, "Role of Wood anomalies in optical properties of thin metallic films with bidimensional array of subwavelength holes," Phys. Rev. B 67, 085415 (2003).
    [CrossRef]
  34. U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 124, 1866-1873 (1961).
    [CrossRef]
  35. C. Genet, M. P. van Exter, and J. P. Woerdman, "Fano-type interpretation of red shifts and red tails in hole array transmission spectra," Opt. Commun. 225, 331-336 (2003).
    [CrossRef]
  36. R. Österbacka, X. M. Jiang, C. P. An, B. Horovitz, and Z. V. Vardeny, "Photoinduced quantum interference antiresonances in π-conjugated polymers," Phys. Rev. Lett. 88, 226401 (2002).
    [CrossRef]
  37. T. D. M. Lee, G. J. Parker, M. E. Zoorob, S. J. Cox, and M. D. B. Charlton, "Design and simulation of highly symmetric photonic quasi-crystals," Nanotechnology 16, 2703-2706 (2005).
    [CrossRef]

2007 (1)

T. Matsui, A. Agrawal, A. Nahata, and Z. V. Vardeny, "Transmission resonances through aperiodic arrays of subwavelength apertures," Nature 446, 517-521 (2007).
[CrossRef]

2006 (4)

M. Sun, J. Tian, Z. Y. Li, B.-Y. Cheng, D.-Z. Zhang, A.-Z. Jin, and H.-F. Yang, "The role of periodicity in enhanced transmission through subwavelength hole arrays," Chin. Phys. Lett. 23, 486-488 (2006).
[CrossRef]

F. Przybilla, C. Genet, and T. W. Ebbesen, "Enhanced transmission through Penrose subwavelength hole arrays," Appl. Phys. Lett. 89, 121115 (2006).
[CrossRef]

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006).
[CrossRef]

F. J. Garcia de Abajo, J. J. Saenz, I. Campillo, and J. S. Dolado, "Site and lattice resonances in metallic hole arrays," Opt. Express 14, 7-18 (2006).
[CrossRef]

2005 (2)

A. Agrawal, H. Cao, and A. Nahata, "Time-domain analysis of enhanced transmission through a single subwavelength aperture," Opt. Express 13, 3535-3542 (2005).
[CrossRef]

T. D. M. Lee, G. J. Parker, M. E. Zoorob, S. J. Cox, and M. D. B. Charlton, "Design and simulation of highly symmetric photonic quasi-crystals," Nanotechnology 16, 2703-2706 (2005).
[CrossRef]

2004 (6)

2003 (5)

J. Gomez Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68, 201306 (2003).
[CrossRef]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef]

C. Genet, M. P. van Exter, and J. P. Woerdman, "Fano-type interpretation of red shifts and red tails in hole array transmission spectra," Opt. Commun. 225, 331-336 (2003).
[CrossRef]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light transport through the band-edge states of Fibonacci quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

M. Sarrazin, J. P. Vigneron, and J. M. Vigoureux, "Role of Wood anomalies in optical properties of thin metallic films with bidimensional array of subwavelength holes," Phys. Rev. B 67, 085415 (2003).
[CrossRef]

2002 (2)

R. Österbacka, X. M. Jiang, C. P. An, B. Horovitz, and Z. V. Vardeny, "Photoinduced quantum interference antiresonances in π-conjugated polymers," Phys. Rev. Lett. 88, 226401 (2002).
[CrossRef]

M. M. J. Treacy, "Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings," Phys. Rev. B 66, 195105 (2002).
[CrossRef]

2001 (2)

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, "Theory of extraordinary optical transmission through subwavelength hole arrays," Phys. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, "Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals," J. Phys.: Condens. Matter 13, 10459-10470 (2001).
[CrossRef]

2000 (2)

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740-743 (2000).
[CrossRef]

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, "Theory of light transmission through subwavelength periodic hole arrays," Phys. Rev. B 62, 16100-16108 (2000).
[CrossRef]

1999 (1)

1998 (2)

H. F. Ghaemi, T. Thio, D. E. Grupp, T. W. Ebbesen, and H. J. Lezec, "Surface plasmons enhance optical transmission through subwavelength holes," Phys. Rev. B 83, 6779-6782 (1998).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature 391, 667-669 (1998).
[CrossRef]

1993 (1)

M. Oxborrow and L. C. Henley, "Random square-triangle tilings: a model for twelve-fold symmetric quasicrystals," Phys. Rev. B 48, 6966-6998 (1993).
[CrossRef]

1989 (1)

J. E. S. Socolar, "Simple octagonal and dodecagonal quasicrystals," Phys. Rev. B 39, 10519 (1989).
[CrossRef]

1986 (1)

P. A. Stampfli, "Dodecagonal quasiperiodic lattice in two dimensions," Helv. Phys. Acta 59, 1260-1263 (1986).

1984 (2)

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, "Metallic phase with long-range orientational order and no translational symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984).
[CrossRef]

D. Levine and P. J. Steinhardt, "Quasicrystals: a new class of ordered structures," Phys. Rev. Lett. 53, 2477-2480 (1984).
[CrossRef]

1974 (1)

R. Penrose, "The role of aesthetics in pure and applied mathematical research," Bull. Inst. Math. Appl. 10, 266-271 (1974).

1961 (1)

U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 124, 1866-1873 (1961).
[CrossRef]

Appl. Phys. Lett. (2)

F. Miyamaru and M. Hangyo, "Finite size effect of transmission property for metal hole arrays in subterahertz region," Appl. Phys. Lett. 84, 2742-2744 (2004).
[CrossRef]

F. Przybilla, C. Genet, and T. W. Ebbesen, "Enhanced transmission through Penrose subwavelength hole arrays," Appl. Phys. Lett. 89, 121115 (2006).
[CrossRef]

Bull. Inst. Math. Appl. (1)

R. Penrose, "The role of aesthetics in pure and applied mathematical research," Bull. Inst. Math. Appl. 10, 266-271 (1974).

Chin. Phys. Lett. (1)

M. Sun, J. Tian, Z. Y. Li, B.-Y. Cheng, D.-Z. Zhang, A.-Z. Jin, and H.-F. Yang, "The role of periodicity in enhanced transmission through subwavelength hole arrays," Chin. Phys. Lett. 23, 486-488 (2006).
[CrossRef]

Helv. Phys. Acta (1)

P. A. Stampfli, "Dodecagonal quasiperiodic lattice in two dimensions," Helv. Phys. Acta 59, 1260-1263 (1986).

J. Opt. Soc. Am. B (1)

J. Phys.: Condens. Matter (1)

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, "Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals," J. Phys.: Condens. Matter 13, 10459-10470 (2001).
[CrossRef]

Nanotechnology (1)

T. D. M. Lee, G. J. Parker, M. E. Zoorob, S. J. Cox, and M. D. B. Charlton, "Design and simulation of highly symmetric photonic quasi-crystals," Nanotechnology 16, 2703-2706 (2005).
[CrossRef]

Nature (5)

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006).
[CrossRef]

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740-743 (2000).
[CrossRef]

T. Matsui, A. Agrawal, A. Nahata, and Z. V. Vardeny, "Transmission resonances through aperiodic arrays of subwavelength apertures," Nature 446, 517-521 (2007).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature 391, 667-669 (1998).
[CrossRef]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef]

Opt. Commun. (1)

C. Genet, M. P. van Exter, and J. P. Woerdman, "Fano-type interpretation of red shifts and red tails in hole array transmission spectra," Opt. Commun. 225, 331-336 (2003).
[CrossRef]

Opt. Express (5)

Opt. Lett. (1)

Phys. Rev. (1)

U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 124, 1866-1873 (1961).
[CrossRef]

Phys. Rev. B (7)

M. M. J. Treacy, "Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings," Phys. Rev. B 66, 195105 (2002).
[CrossRef]

J. Gomez Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68, 201306 (2003).
[CrossRef]

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, "Theory of light transmission through subwavelength periodic hole arrays," Phys. Rev. B 62, 16100-16108 (2000).
[CrossRef]

J. E. S. Socolar, "Simple octagonal and dodecagonal quasicrystals," Phys. Rev. B 39, 10519 (1989).
[CrossRef]

M. Oxborrow and L. C. Henley, "Random square-triangle tilings: a model for twelve-fold symmetric quasicrystals," Phys. Rev. B 48, 6966-6998 (1993).
[CrossRef]

H. F. Ghaemi, T. Thio, D. E. Grupp, T. W. Ebbesen, and H. J. Lezec, "Surface plasmons enhance optical transmission through subwavelength holes," Phys. Rev. B 83, 6779-6782 (1998).
[CrossRef]

M. Sarrazin, J. P. Vigneron, and J. M. Vigoureux, "Role of Wood anomalies in optical properties of thin metallic films with bidimensional array of subwavelength holes," Phys. Rev. B 67, 085415 (2003).
[CrossRef]

Phys. Rev. Lett. (6)

R. Österbacka, X. M. Jiang, C. P. An, B. Horovitz, and Z. V. Vardeny, "Photoinduced quantum interference antiresonances in π-conjugated polymers," Phys. Rev. Lett. 88, 226401 (2002).
[CrossRef]

L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light transport through the band-edge states of Fibonacci quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, "Metallic phase with long-range orientational order and no translational symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984).
[CrossRef]

D. Levine and P. J. Steinhardt, "Quasicrystals: a new class of ordered structures," Phys. Rev. Lett. 53, 2477-2480 (1984).
[CrossRef]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, "Theory of extraordinary optical transmission through subwavelength hole arrays," Phys. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

W. L. Barnes, W. A. Murray, J. Dintinger, E. Devaux, and T. W. Ebbesen, "Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of sub-wavelength holes in a metal film," Phys. Rev. Lett. 92, 107401 (2004).
[CrossRef]

Other (3)

C. Janot, Quasicrystals: A Primer, 2nd ed. (Oxford U. Press, 1994).

N. Papasimakis, V. A. Fedotov, F. J. Garcia de Abajo, A. S. Schwanecke, and N. I. Zheludev, "Enhanced microwave transmission through quasicrystal hole arrays," arXiv:0704.2552v1 (2007).

D. Grischkowsky, in Frontiers in Nonlinear Optics, H.Walther, N.Koroteev, and M.O.Scully, eds. (Institute of Physics Publishing, 1992), and references therein.

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