Abstract

This paper proposes a metallic hole array of a rectangular converging-diverging channel (RCDC) shape with extraordinary transmission. We use a three-dimensional (3D) finite element method to analyze the transmission characteristics of two-dimensional metallic hole arrays (2D-MHA) with RCDC. For a straight channel MHA, when the aperture size is reduced, the transmission peaks have a blue-shift. The same result is observed for a smaller gap throat for the RCDC structure. For the rectangular holes with a high length-width ratio, a similar blue-shift in the transmission peaks as well as a narrower full width at half maximum (FWHM) are observed. The asymmetry from the rectangular shape gives this structure high selectivity for light with different polarizations. Furthermore, the RCDC shape gives extra degrees of geometrical variables to 2D-MHA for tuning the location of the transmission peak and the FWHM. The tunable transmission property of this structure shows promise for applications in tunable filters, photonic circuits, and biosensors.

© 2009 Optical Society of America

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  1. 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]
  2. Q. Cao and P. Lalanne, "Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits," Phys. Rev. Lett. 88, 057403 (2002).
    [CrossRef]
  3. P. Lalanne, J. P. Hugonin, and J. C. Rodier, "Theory of surface plasmon generation at nanoslit apertures," Phys. Rev. Lett. 95, 263902 (2005).
    [CrossRef]
  4. H. J. Lezec and T. Thio, "Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays," Opt. Express 12, 3629-3651 (2004).
    [CrossRef]
  5. D. X. Qu, D. Grischkowsky, and W. L. Zhang, "Terahertz transmission properties of thin, subwavelength metallic hole arrays," Opt. Lett. 29, 896-898 (2004).
    [CrossRef]
  6. H. Cao and A. Nahata, "Influence of aperture shape on the transmission properties of a periodic array of subwavelength apertures," Opt. Express 12, 3664-3672 (2004).
    [CrossRef]
  7. 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]
  8. J. F. O'Hara, R. D. Averitt, and A. J. Taylor, "Terahertz surface plasmon polariton coupling on metallic gratings," Opt. Express 12, 6397-6402 (2004).
    [CrossRef]
  9. A. K. Azad, Y. Zhao, and W. Zhang, "Transmission properties of terahertz pulses through an ultrathin subwavelength silicon hole array," Appl. Phys. Lett. 86 (2005).
  10. J. G. Rivas, C. Schotsch, P. H. Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68 (2003).
  11. C. Janke, J. G. Rivas, C. Schotsch, L. Beckmann, P. H. Bolivar, and H. Kurz, "Optimization of enhanced terahertz transmission through arrays of subwavelength apertures," Phys. Rev. B 69 (2004).
  12. M. Tanaka, F. Miyamaru, M. Hangyo, T. Tanaka, M. Akazawa, and E. Sano, "Effect of a thin dielectric layer on terahertz transmission characteristics for metal hole arrays," Opt. Lett. 30, 1210-1212 (2005).
    [CrossRef]
  13. J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, "Mimicking surface plasmons with structured surfaces," Science 305, 847-848 (2004).
    [CrossRef]
  14. A. Degiron, H. J. Lezec, W. L. Barnes, and T. W. Ebbesen, "Effects of hole depth on enhanced light transmission through subwavelength hole arrays," Appl. Phys. Lett. 81, 4327-4329 (2002).
    [CrossRef]
  15. A. K. Azad and W. L. Zhang, "Resonant terahertz transmission in subwavelength metallic hole arrays of sub-skin-depth thickness," Opt. Lett. 30, 2945-2947 (2005).
    [CrossRef]
  16. C. L. Pan, C. F. Hsieh, R. P. Pan, M. Tanaka, F. Miyamaru, M. Tani, and M. Hangyo, "Control of enhanced THz transmission through metallic hole arrays using nematic liquid crystal," Opt. Express 13, 3921-3930 (2005).
    [CrossRef]
  17. J. M. Steele, Z. W. Liu, Y. Wang, and X. Zhang, "Resonant and non-resonant generation and focusing of surface plasmons with circular gratings," Opt. Express 14, 5664-5670 (2006).
    [CrossRef]
  18. K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes," Phys. Rev. Lett. 92 (2004).
    [CrossRef]
  19. A. Battula, Y. L. Lu, R. J. Knize, K. Reinhardt, and S. C. Chen, "Tunable transmission at 100 THz through a metallic hole array with a varying hole channel shape," Opt. Express 15, 14629-14635 (2007).
    [CrossRef]
  20. E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1985).
  21. COMSOL 3.3 Reference Manual, version 3.3 ed. (Comsol AB, 2006).
  22. A. Lavrinenko, P. I. Borel, L. H. Frandsen, M. Thorhauge, A. Harpoth, M. Kristensen, T. Niemi, and H. M. H. Chong, "Comprehensive FDTD modelling of photonic crystal waveguide components," Opt. Express 12, 234-248 (2004).
    [CrossRef]
  23. A. R. Zakharian, M. Mansuripur, and J. V. Moloney, "Transmission of light through small elliptical apertures," Opt. Express 12, 2631-2648 (2004).
    [CrossRef]
  24. J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
    [CrossRef]

2007 (1)

2006 (1)

2005 (5)

2004 (10)

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes," Phys. Rev. Lett. 92 (2004).
[CrossRef]

A. Lavrinenko, P. I. Borel, L. H. Frandsen, M. Thorhauge, A. Harpoth, M. Kristensen, T. Niemi, and H. M. H. Chong, "Comprehensive FDTD modelling of photonic crystal waveguide components," Opt. Express 12, 234-248 (2004).
[CrossRef]

D. X. Qu, D. Grischkowsky, and W. L. Zhang, "Terahertz transmission properties of thin, subwavelength metallic hole arrays," Opt. Lett. 29, 896-898 (2004).
[CrossRef]

A. R. Zakharian, M. Mansuripur, and J. V. Moloney, "Transmission of light through small elliptical apertures," Opt. Express 12, 2631-2648 (2004).
[CrossRef]

H. J. Lezec and T. Thio, "Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays," Opt. Express 12, 3629-3651 (2004).
[CrossRef]

H. Cao and A. Nahata, "Influence of aperture shape on the transmission properties of a periodic array of subwavelength apertures," Opt. Express 12, 3664-3672 (2004).
[CrossRef]

J. F. O'Hara, R. D. Averitt, and A. J. Taylor, "Terahertz surface plasmon polariton coupling on metallic gratings," Opt. Express 12, 6397-6402 (2004).
[CrossRef]

C. Janke, J. G. Rivas, C. Schotsch, L. Beckmann, P. H. Bolivar, and H. Kurz, "Optimization of enhanced terahertz transmission through arrays of subwavelength apertures," Phys. Rev. B 69 (2004).

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, "Mimicking surface plasmons with structured surfaces," Science 305, 847-848 (2004).
[CrossRef]

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]

2003 (1)

J. G. Rivas, C. Schotsch, P. H. Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68 (2003).

2002 (2)

A. Degiron, H. J. Lezec, W. L. Barnes, and T. W. Ebbesen, "Effects of hole depth on enhanced light transmission through subwavelength hole arrays," Appl. Phys. Lett. 81, 4327-4329 (2002).
[CrossRef]

Q. Cao and P. Lalanne, "Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits," Phys. Rev. Lett. 88, 057403 (2002).
[CrossRef]

1999 (1)

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

1998 (1)

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]

Akazawa, M.

Averitt, R. D.

Azad, A. K.

A. K. Azad and W. L. Zhang, "Resonant terahertz transmission in subwavelength metallic hole arrays of sub-skin-depth thickness," Opt. Lett. 30, 2945-2947 (2005).
[CrossRef]

A. K. Azad, Y. Zhao, and W. Zhang, "Transmission properties of terahertz pulses through an ultrathin subwavelength silicon hole array," Appl. Phys. Lett. 86 (2005).

Barnes, W. L.

A. Degiron, H. J. Lezec, W. L. Barnes, and T. W. Ebbesen, "Effects of hole depth on enhanced light transmission through subwavelength hole arrays," Appl. Phys. Lett. 81, 4327-4329 (2002).
[CrossRef]

Battula, A.

Beckmann, L.

C. Janke, J. G. Rivas, C. Schotsch, L. Beckmann, P. H. Bolivar, and H. Kurz, "Optimization of enhanced terahertz transmission through arrays of subwavelength apertures," Phys. Rev. B 69 (2004).

Bolivar, P. H.

C. Janke, J. G. Rivas, C. Schotsch, L. Beckmann, P. H. Bolivar, and H. Kurz, "Optimization of enhanced terahertz transmission through arrays of subwavelength apertures," Phys. Rev. B 69 (2004).

J. G. Rivas, C. Schotsch, P. H. Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68 (2003).

Borel, P. I.

Cao, H.

Cao, Q.

Q. Cao and P. Lalanne, "Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits," Phys. Rev. Lett. 88, 057403 (2002).
[CrossRef]

Chen, S. C.

Chong, H. M. H.

Degiron, A.

A. Degiron, H. J. Lezec, W. L. Barnes, and T. W. Ebbesen, "Effects of hole depth on enhanced light transmission through subwavelength hole arrays," Appl. Phys. Lett. 81, 4327-4329 (2002).
[CrossRef]

Ebbesen, T. W.

A. Degiron, H. J. Lezec, W. L. Barnes, and T. W. Ebbesen, "Effects of hole depth on enhanced light transmission through subwavelength hole arrays," Appl. Phys. Lett. 81, 4327-4329 (2002).
[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]

Enoch, S.

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes," Phys. Rev. Lett. 92 (2004).
[CrossRef]

Frandsen, L. H.

Garcia-Vidal, F. J.

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, "Mimicking surface plasmons with structured surfaces," Science 305, 847-848 (2004).
[CrossRef]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Ghaemi, H. F.

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]

Grischkowsky, D.

Hangyo, M.

Harpoth, A.

Hsieh, C. F.

Hugonin, J. P.

P. Lalanne, J. P. Hugonin, and J. C. Rodier, "Theory of surface plasmon generation at nanoslit apertures," Phys. Rev. Lett. 95, 263902 (2005).
[CrossRef]

Janke, C.

C. Janke, J. G. Rivas, C. Schotsch, L. Beckmann, P. H. Bolivar, and H. Kurz, "Optimization of enhanced terahertz transmission through arrays of subwavelength apertures," Phys. Rev. B 69 (2004).

Knize, R. J.

Koerkamp, K. J. K.

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes," Phys. Rev. Lett. 92 (2004).
[CrossRef]

Kristensen, M.

Kuipers, L.

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes," Phys. Rev. Lett. 92 (2004).
[CrossRef]

Kurz, H.

C. Janke, J. G. Rivas, C. Schotsch, L. Beckmann, P. H. Bolivar, and H. Kurz, "Optimization of enhanced terahertz transmission through arrays of subwavelength apertures," Phys. Rev. B 69 (2004).

J. G. Rivas, C. Schotsch, P. H. Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68 (2003).

Lalanne, P.

P. Lalanne, J. P. Hugonin, and J. C. Rodier, "Theory of surface plasmon generation at nanoslit apertures," Phys. Rev. Lett. 95, 263902 (2005).
[CrossRef]

Q. Cao and P. Lalanne, "Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits," Phys. Rev. Lett. 88, 057403 (2002).
[CrossRef]

Lavrinenko, A.

Lezec, H. J.

H. J. Lezec and T. Thio, "Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays," Opt. Express 12, 3629-3651 (2004).
[CrossRef]

A. Degiron, H. J. Lezec, W. L. Barnes, and T. W. Ebbesen, "Effects of hole depth on enhanced light transmission through subwavelength hole arrays," Appl. Phys. Lett. 81, 4327-4329 (2002).
[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]

Liu, Z. W.

Lu, Y. L.

Mansuripur, M.

Martin-Moreno, L.

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, "Mimicking surface plasmons with structured surfaces," Science 305, 847-848 (2004).
[CrossRef]

Miyamaru, F.

Moloney, J. V.

Nahata, A.

Niemi, T.

O'Hara, J. F.

Pan, C. L.

Pan, R. P.

Pendry, J. B.

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, "Mimicking surface plasmons with structured surfaces," Science 305, 847-848 (2004).
[CrossRef]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Porto, J. A.

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Qu, D. X.

Reinhardt, K.

Rivas, J. G.

C. Janke, J. G. Rivas, C. Schotsch, L. Beckmann, P. H. Bolivar, and H. Kurz, "Optimization of enhanced terahertz transmission through arrays of subwavelength apertures," Phys. Rev. B 69 (2004).

J. G. Rivas, C. Schotsch, P. H. Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68 (2003).

Rodier, J. C.

P. Lalanne, J. P. Hugonin, and J. C. Rodier, "Theory of surface plasmon generation at nanoslit apertures," Phys. Rev. Lett. 95, 263902 (2005).
[CrossRef]

Sano, E.

Schotsch, C.

C. Janke, J. G. Rivas, C. Schotsch, L. Beckmann, P. H. Bolivar, and H. Kurz, "Optimization of enhanced terahertz transmission through arrays of subwavelength apertures," Phys. Rev. B 69 (2004).

J. G. Rivas, C. Schotsch, P. H. Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68 (2003).

Segerink, F. B.

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes," Phys. Rev. Lett. 92 (2004).
[CrossRef]

Steele, J. M.

Tanaka, M.

Tanaka, T.

Tani, M.

Taylor, A. J.

Thio, T.

H. J. Lezec and T. Thio, "Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays," Opt. Express 12, 3629-3651 (2004).
[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]

Thorhauge, M.

van Hulst, N. F.

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes," Phys. Rev. Lett. 92 (2004).
[CrossRef]

Wang, Y.

Wolff, P. A.

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]

Zakharian, A. R.

Zhang, W.

A. K. Azad, Y. Zhao, and W. Zhang, "Transmission properties of terahertz pulses through an ultrathin subwavelength silicon hole array," Appl. Phys. Lett. 86 (2005).

Zhang, W. L.

Zhang, X.

Zhao, Y.

A. K. Azad, Y. Zhao, and W. Zhang, "Transmission properties of terahertz pulses through an ultrathin subwavelength silicon hole array," Appl. Phys. Lett. 86 (2005).

Appl. Phys. Lett. (3)

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]

A. K. Azad, Y. Zhao, and W. Zhang, "Transmission properties of terahertz pulses through an ultrathin subwavelength silicon hole array," Appl. Phys. Lett. 86 (2005).

A. Degiron, H. J. Lezec, W. L. Barnes, and T. W. Ebbesen, "Effects of hole depth on enhanced light transmission through subwavelength hole arrays," Appl. Phys. Lett. 81, 4327-4329 (2002).
[CrossRef]

Nature (1)

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]

Opt. Express (8)

A. Lavrinenko, P. I. Borel, L. H. Frandsen, M. Thorhauge, A. Harpoth, M. Kristensen, T. Niemi, and H. M. H. Chong, "Comprehensive FDTD modelling of photonic crystal waveguide components," Opt. Express 12, 234-248 (2004).
[CrossRef]

A. R. Zakharian, M. Mansuripur, and J. V. Moloney, "Transmission of light through small elliptical apertures," Opt. Express 12, 2631-2648 (2004).
[CrossRef]

H. J. Lezec and T. Thio, "Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays," Opt. Express 12, 3629-3651 (2004).
[CrossRef]

H. Cao and A. Nahata, "Influence of aperture shape on the transmission properties of a periodic array of subwavelength apertures," Opt. Express 12, 3664-3672 (2004).
[CrossRef]

J. F. O'Hara, R. D. Averitt, and A. J. Taylor, "Terahertz surface plasmon polariton coupling on metallic gratings," Opt. Express 12, 6397-6402 (2004).
[CrossRef]

C. L. Pan, C. F. Hsieh, R. P. Pan, M. Tanaka, F. Miyamaru, M. Tani, and M. Hangyo, "Control of enhanced THz transmission through metallic hole arrays using nematic liquid crystal," Opt. Express 13, 3921-3930 (2005).
[CrossRef]

J. M. Steele, Z. W. Liu, Y. Wang, and X. Zhang, "Resonant and non-resonant generation and focusing of surface plasmons with circular gratings," Opt. Express 14, 5664-5670 (2006).
[CrossRef]

A. Battula, Y. L. Lu, R. J. Knize, K. Reinhardt, and S. C. Chen, "Tunable transmission at 100 THz through a metallic hole array with a varying hole channel shape," Opt. Express 15, 14629-14635 (2007).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. B (2)

J. G. Rivas, C. Schotsch, P. H. Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68 (2003).

C. Janke, J. G. Rivas, C. Schotsch, L. Beckmann, P. H. Bolivar, and H. Kurz, "Optimization of enhanced terahertz transmission through arrays of subwavelength apertures," Phys. Rev. B 69 (2004).

Phys. Rev. Lett. (4)

Q. Cao and P. Lalanne, "Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits," Phys. Rev. Lett. 88, 057403 (2002).
[CrossRef]

P. Lalanne, J. P. Hugonin, and J. C. Rodier, "Theory of surface plasmon generation at nanoslit apertures," Phys. Rev. Lett. 95, 263902 (2005).
[CrossRef]

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes," Phys. Rev. Lett. 92 (2004).
[CrossRef]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Science (1)

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, "Mimicking surface plasmons with structured surfaces," Science 305, 847-848 (2004).
[CrossRef]

Other (2)

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

COMSOL 3.3 Reference Manual, version 3.3 ed. (Comsol AB, 2006).

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