Abstract

In this paper Anomalous Extraordinary Transmission (ET) is reported for s-polarization of low loss doubly periodic subwavelength hole arrays patterned on polypropylene (PP) substrates by conventional contact photolithography at the so-called THz-gap (1–10 THz). The unexpected enhanced transmittance for s-polarization (i.e. without spoof plasmons) was previously numerically demonstrated in subwavelength slits arrays. However, subsequently no experimental work has been devoted to this unexpected Extraordinary Transmission neither in subwavelength slits nor in subwavelength holes. Here, numerical study and experimental results of the Anomalous ET and the symmetric and antisymmetric transmittance modes associated with the already well-known p-polarization ET are shown alongside a systematically analysis of the frequency peaks as a function of hole size for both incident polarizations.

© 2009 Optical Society of America

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  1. J. Rayleigh, "On the dynamical theory of gratings," Proc. R. Soc. London A 79, 399-416 (1907).
    [CrossRef]
  2. E. H. Synge, "A suggested model for extending microscopic resolution into the ultra-microscopic region," Philos. Mag. 3, 356-362 (1928).
  3. A. Lewis, M. Isaacson, A. Harootunian, and A. Muray, "Development of a 500Å resolution microscope," Ultramicroscopy 13, 227-231 (1984).
    [CrossRef]
  4. H. A. Bethe, "Theory of diffraction by small holes," Phys. Rev. 66, 163-182 (1944).
    [CrossRef]
  5. R. Ulrich, "Far-infrared properties of metallic mesh and its complementary structure," Inf. Phys. 7, 37-55, (1967).
    [CrossRef]
  6. C. C. Chen, "Transmission of Microwave Through Perforated Flat Plates of Finite Thickness," IEEE Trans. Microwave Theory Tech. 21, 1-7, (1973).
    [CrossRef]
  7. T. W. Ebbesen, H. J. Lezec, H. Ghaemi, T. Thio, and P. A. Wolf, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature 391, 667-669 (1998).
    [CrossRef]
  8. M.M.J. Treacy, "Dynamical diffraction in metallic optical gratings," Appl. Phys. Lett. 75, 606-608 (1999).
    [CrossRef]
  9. J.A. Porto, F.J. García-Vidal, J.B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2848 (1999).
    [CrossRef]
  10. H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martín-Moreno, F. J. García-Vidal, and T. W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 820-822 (2002).
    [CrossRef] [PubMed]
  11. L. Martín-Moreno, F. J. García-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] [PubMed]
  12. M. Beruete, M. Sorolla, I. Campillo, J. S. Dolado, I. Martín-Moreno, J. Bravo-Abad, and F. J. García-Vidal, "Enhanced millimetre-wave transmission through subwavelength hole arrays," Opt. Lett. 292500-2502 (2004).
    [CrossRef] [PubMed]
  13. M. Sarrazin, J. P. Vigneron and J. M. Vigoureux, "Role of Wood anomalies in optical properties of thin metallic films with a bidimensional array of subwavelength holes," Phys. Rev. B 67, 085415 (2003).
    [CrossRef]
  14. V. Lomakin and E. Michielssen, "Enhanced transmission through metallic plates perforated by arrays of subwavelength holes and sandwiched between dielectric slabs," Phys. Rev. B 71, 235117 (2005).
    [CrossRef]
  15. D. R. Jackson, A. A. Oliner, T. Zhao, and J. T. Williams, "Beaming of light at broadside through a subwavelength hole: Leaky wave model and open stopband effect," Radio Sci. 40, 1-12 (2005).
    [CrossRef]
  16. J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Mimicking Surface Plasmons with Structured Surfaces," Science 305, 847-848 (2004).
    [CrossRef] [PubMed]
  17. M. Beruete, I. Campillo, J. E. Rodríguez-Seco, E. Perea, M. Navarro-Cía, I. J. Núñez-Manrique, and M. Sorolla, "Enhanced Gain by Double-Periodic Stacked Subwavelength Hole Array," IEEE Microwave Wireless Compon. Lett. 17, 831-833 (2007).
    [CrossRef]
  18. J. Gómez Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, "Enhanced transmission of THz radiation through subwavelength holes," Phys. Rev. B 68, 201306 (2003).
    [CrossRef]
  19. E. Hendry, M. J. Lockyear, J. Gómez Rivas, L. Kuipers, and M. Bonn, "Ultrafast optical switching of the THz transmission through metallic subwavelength hole arrays," Phys. Rev. B 75, 235305 (2007).
    [CrossRef]
  20. A. K. Azad, Y. Zhao, W. Zhang, and M. He, "Effect of dielectric properties of metals on terahertz transmission in subwavelength hole arrays," Opt. Lett. 31, 2637-2639 (2006).
    [CrossRef] [PubMed]
  21. E. Moreno, L. Martín-Moreno, and F. J. García-Vidal, "Extraordinary optical transmission without plasmons: the s-polarization case," J. Opt. A: Pure Appl. Opt. 8, S94-S97 (2006).
    [CrossRef]
  22. M. Beruete, M. Sorolla, M. Navarro-Cía, F. Falcone, I. Campillo, and V. Lomakin, "Extraordinary transmission and left-handed propagation in miniaturized stacks of doubly periodic subwavelength hole arrays," Opt. Express 15, 1107-1114 (2007).
    [CrossRef] [PubMed]
  23. M. Aznabet, M. Navarro-Cía, S. A. Kuznetsov, A. V. Gelfand, N. I. Fedorinina, Yu. G. Goncharov, M. Beruete, O. El Mrabet, and M. Sorolla, "Polypropylene-substrate-based SRR- and CSRR- metasurfaces for submillimeter waves," Opt. Express 16, 18312-18319 (2008).
    [CrossRef] [PubMed]
  24. A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
    [CrossRef]
  25. K. L. van der Molen, F. B. Segerink, N. F. van Hulst, and L. Kuipers "Influence of hole size on the extraordinary transmission through subwavelength hole arrays," Appl. Phys. Lett. 85, 4316-4318 (2004).
    [CrossRef]

2008

2007

M. Beruete, M. Sorolla, M. Navarro-Cía, F. Falcone, I. Campillo, and V. Lomakin, "Extraordinary transmission and left-handed propagation in miniaturized stacks of doubly periodic subwavelength hole arrays," Opt. Express 15, 1107-1114 (2007).
[CrossRef] [PubMed]

E. Hendry, M. J. Lockyear, J. Gómez Rivas, L. Kuipers, and M. Bonn, "Ultrafast optical switching of the THz transmission through metallic subwavelength hole arrays," Phys. Rev. B 75, 235305 (2007).
[CrossRef]

M. Beruete, I. Campillo, J. E. Rodríguez-Seco, E. Perea, M. Navarro-Cía, I. J. Núñez-Manrique, and M. Sorolla, "Enhanced Gain by Double-Periodic Stacked Subwavelength Hole Array," IEEE Microwave Wireless Compon. Lett. 17, 831-833 (2007).
[CrossRef]

2006

E. Moreno, L. Martín-Moreno, and F. J. García-Vidal, "Extraordinary optical transmission without plasmons: the s-polarization case," J. Opt. A: Pure Appl. Opt. 8, S94-S97 (2006).
[CrossRef]

A. K. Azad, Y. Zhao, W. Zhang, and M. He, "Effect of dielectric properties of metals on terahertz transmission in subwavelength hole arrays," Opt. Lett. 31, 2637-2639 (2006).
[CrossRef] [PubMed]

2005

V. Lomakin and E. Michielssen, "Enhanced transmission through metallic plates perforated by arrays of subwavelength holes and sandwiched between dielectric slabs," Phys. Rev. B 71, 235117 (2005).
[CrossRef]

D. R. Jackson, A. A. Oliner, T. Zhao, and J. T. Williams, "Beaming of light at broadside through a subwavelength hole: Leaky wave model and open stopband effect," Radio Sci. 40, 1-12 (2005).
[CrossRef]

2004

J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Mimicking Surface Plasmons with Structured Surfaces," Science 305, 847-848 (2004).
[CrossRef] [PubMed]

K. L. van der Molen, F. B. Segerink, N. F. van Hulst, and L. Kuipers "Influence of hole size on the extraordinary transmission through subwavelength hole arrays," Appl. Phys. Lett. 85, 4316-4318 (2004).
[CrossRef]

M. Beruete, M. Sorolla, I. Campillo, J. S. Dolado, I. Martín-Moreno, J. Bravo-Abad, and F. J. García-Vidal, "Enhanced millimetre-wave transmission through subwavelength hole arrays," Opt. Lett. 292500-2502 (2004).
[CrossRef] [PubMed]

2003

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

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

2002

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martín-Moreno, F. J. García-Vidal, and T. W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 820-822 (2002).
[CrossRef] [PubMed]

2001

L. Martín-Moreno, F. J. García-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] [PubMed]

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

1999

M.M.J. Treacy, "Dynamical diffraction in metallic optical gratings," Appl. Phys. Lett. 75, 606-608 (1999).
[CrossRef]

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

1998

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

1984

A. Lewis, M. Isaacson, A. Harootunian, and A. Muray, "Development of a 500Å resolution microscope," Ultramicroscopy 13, 227-231 (1984).
[CrossRef]

1973

C. C. Chen, "Transmission of Microwave Through Perforated Flat Plates of Finite Thickness," IEEE Trans. Microwave Theory Tech. 21, 1-7, (1973).
[CrossRef]

1967

R. Ulrich, "Far-infrared properties of metallic mesh and its complementary structure," Inf. Phys. 7, 37-55, (1967).
[CrossRef]

1944

H. A. Bethe, "Theory of diffraction by small holes," Phys. Rev. 66, 163-182 (1944).
[CrossRef]

1928

E. H. Synge, "A suggested model for extending microscopic resolution into the ultra-microscopic region," Philos. Mag. 3, 356-362 (1928).

1907

J. Rayleigh, "On the dynamical theory of gratings," Proc. R. Soc. London A 79, 399-416 (1907).
[CrossRef]

Azad, A. K.

Aznabet, M.

Beruete, M.

Bethe, H. A.

H. A. Bethe, "Theory of diffraction by small holes," Phys. Rev. 66, 163-182 (1944).
[CrossRef]

Bonn, M.

E. Hendry, M. J. Lockyear, J. Gómez Rivas, L. Kuipers, and M. Bonn, "Ultrafast optical switching of the THz transmission through metallic subwavelength hole arrays," Phys. Rev. B 75, 235305 (2007).
[CrossRef]

Bravo-Abad, J.

Campillo, I.

Chen, C. C.

C. C. Chen, "Transmission of Microwave Through Perforated Flat Plates of Finite Thickness," IEEE Trans. Microwave Theory Tech. 21, 1-7, (1973).
[CrossRef]

Degiron, A.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martín-Moreno, F. J. García-Vidal, and T. W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 820-822 (2002).
[CrossRef] [PubMed]

Devaux, E.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martín-Moreno, F. J. García-Vidal, and T. W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 820-822 (2002).
[CrossRef] [PubMed]

Dolado, J. S.

Ebbesen, T. W.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martín-Moreno, F. J. García-Vidal, and T. W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 820-822 (2002).
[CrossRef] [PubMed]

L. Martín-Moreno, F. J. García-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] [PubMed]

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

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

El Mrabet, O.

Falcone, F.

Fedorinina, N. I.

García-Vidal, F. J.

E. Moreno, L. Martín-Moreno, and F. J. García-Vidal, "Extraordinary optical transmission without plasmons: the s-polarization case," J. Opt. A: Pure Appl. Opt. 8, S94-S97 (2006).
[CrossRef]

J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Mimicking Surface Plasmons with Structured Surfaces," Science 305, 847-848 (2004).
[CrossRef] [PubMed]

M. Beruete, M. Sorolla, I. Campillo, J. S. Dolado, I. Martín-Moreno, J. Bravo-Abad, and F. J. García-Vidal, "Enhanced millimetre-wave transmission through subwavelength hole arrays," Opt. Lett. 292500-2502 (2004).
[CrossRef] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martín-Moreno, F. J. García-Vidal, and T. W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 820-822 (2002).
[CrossRef] [PubMed]

L. Martín-Moreno, F. J. García-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] [PubMed]

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

García-Vidal, F.J.

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

Gelfand, A. V.

Ghaemi, H.

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

Gómez Rivas, J.

E. Hendry, M. J. Lockyear, J. Gómez Rivas, L. Kuipers, and M. Bonn, "Ultrafast optical switching of the THz transmission through metallic subwavelength hole arrays," Phys. Rev. B 75, 235305 (2007).
[CrossRef]

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

Goncharov, Yu. G.

Haring Bolivar, P.

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

Harootunian, A.

A. Lewis, M. Isaacson, A. Harootunian, and A. Muray, "Development of a 500Å resolution microscope," Ultramicroscopy 13, 227-231 (1984).
[CrossRef]

He, M.

Hendry, E.

E. Hendry, M. J. Lockyear, J. Gómez Rivas, L. Kuipers, and M. Bonn, "Ultrafast optical switching of the THz transmission through metallic subwavelength hole arrays," Phys. Rev. B 75, 235305 (2007).
[CrossRef]

Isaacson, M.

A. Lewis, M. Isaacson, A. Harootunian, and A. Muray, "Development of a 500Å resolution microscope," Ultramicroscopy 13, 227-231 (1984).
[CrossRef]

Jackson, D. R.

D. R. Jackson, A. A. Oliner, T. Zhao, and J. T. Williams, "Beaming of light at broadside through a subwavelength hole: Leaky wave model and open stopband effect," Radio Sci. 40, 1-12 (2005).
[CrossRef]

Kim, T. J.

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

Krishnan, A.

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

Kuipers, L.

E. Hendry, M. J. Lockyear, J. Gómez Rivas, L. Kuipers, and M. Bonn, "Ultrafast optical switching of the THz transmission through metallic subwavelength hole arrays," Phys. Rev. B 75, 235305 (2007).
[CrossRef]

K. L. van der Molen, F. B. Segerink, N. F. van Hulst, and L. Kuipers "Influence of hole size on the extraordinary transmission through subwavelength hole arrays," Appl. Phys. Lett. 85, 4316-4318 (2004).
[CrossRef]

Kurz, H.

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

Kuznetsov, S. A.

Lewis, A.

A. Lewis, M. Isaacson, A. Harootunian, and A. Muray, "Development of a 500Å resolution microscope," Ultramicroscopy 13, 227-231 (1984).
[CrossRef]

Lezec, H. J.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martín-Moreno, F. J. García-Vidal, and T. W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 820-822 (2002).
[CrossRef] [PubMed]

L. Martín-Moreno, F. J. García-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] [PubMed]

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

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

Linke, R. A.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martín-Moreno, F. J. García-Vidal, and T. W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 820-822 (2002).
[CrossRef] [PubMed]

Lockyear, M. J.

E. Hendry, M. J. Lockyear, J. Gómez Rivas, L. Kuipers, and M. Bonn, "Ultrafast optical switching of the THz transmission through metallic subwavelength hole arrays," Phys. Rev. B 75, 235305 (2007).
[CrossRef]

Lomakin, V.

M. Beruete, M. Sorolla, M. Navarro-Cía, F. Falcone, I. Campillo, and V. Lomakin, "Extraordinary transmission and left-handed propagation in miniaturized stacks of doubly periodic subwavelength hole arrays," Opt. Express 15, 1107-1114 (2007).
[CrossRef] [PubMed]

V. Lomakin and E. Michielssen, "Enhanced transmission through metallic plates perforated by arrays of subwavelength holes and sandwiched between dielectric slabs," Phys. Rev. B 71, 235117 (2005).
[CrossRef]

Martín-Moreno, I.

Martín-Moreno, L.

E. Moreno, L. Martín-Moreno, and F. J. García-Vidal, "Extraordinary optical transmission without plasmons: the s-polarization case," J. Opt. A: Pure Appl. Opt. 8, S94-S97 (2006).
[CrossRef]

J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Mimicking Surface Plasmons with Structured Surfaces," Science 305, 847-848 (2004).
[CrossRef] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martín-Moreno, F. J. García-Vidal, and T. W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 820-822 (2002).
[CrossRef] [PubMed]

L. Martín-Moreno, F. J. García-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] [PubMed]

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

Michielssen, E.

V. Lomakin and E. Michielssen, "Enhanced transmission through metallic plates perforated by arrays of subwavelength holes and sandwiched between dielectric slabs," Phys. Rev. B 71, 235117 (2005).
[CrossRef]

Moreno, E.

E. Moreno, L. Martín-Moreno, and F. J. García-Vidal, "Extraordinary optical transmission without plasmons: the s-polarization case," J. Opt. A: Pure Appl. Opt. 8, S94-S97 (2006).
[CrossRef]

Muray, A.

A. Lewis, M. Isaacson, A. Harootunian, and A. Muray, "Development of a 500Å resolution microscope," Ultramicroscopy 13, 227-231 (1984).
[CrossRef]

Navarro-Cía, M.

Núñez-Manrique, I. J.

M. Beruete, I. Campillo, J. E. Rodríguez-Seco, E. Perea, M. Navarro-Cía, I. J. Núñez-Manrique, and M. Sorolla, "Enhanced Gain by Double-Periodic Stacked Subwavelength Hole Array," IEEE Microwave Wireless Compon. Lett. 17, 831-833 (2007).
[CrossRef]

Oliner, A. A.

D. R. Jackson, A. A. Oliner, T. Zhao, and J. T. Williams, "Beaming of light at broadside through a subwavelength hole: Leaky wave model and open stopband effect," Radio Sci. 40, 1-12 (2005).
[CrossRef]

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, "Theory of Extraordinary Optical Transmission through Subwavelength Hole Arrays," Phys. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef] [PubMed]

Pendry, J.

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

Pendry, J. B.

J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Mimicking Surface Plasmons with Structured Surfaces," Science 305, 847-848 (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, "Theory of Extraordinary Optical Transmission through Subwavelength Hole Arrays," Phys. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef] [PubMed]

Pendry, J.B.

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

Perea, E.

M. Beruete, I. Campillo, J. E. Rodríguez-Seco, E. Perea, M. Navarro-Cía, I. J. Núñez-Manrique, and M. Sorolla, "Enhanced Gain by Double-Periodic Stacked Subwavelength Hole Array," IEEE Microwave Wireless Compon. Lett. 17, 831-833 (2007).
[CrossRef]

Porto, J.A.

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

Rayleigh, J.

J. Rayleigh, "On the dynamical theory of gratings," Proc. R. Soc. London A 79, 399-416 (1907).
[CrossRef]

Rodríguez-Seco, J. E.

M. Beruete, I. Campillo, J. E. Rodríguez-Seco, E. Perea, M. Navarro-Cía, I. J. Núñez-Manrique, and M. Sorolla, "Enhanced Gain by Double-Periodic Stacked Subwavelength Hole Array," IEEE Microwave Wireless Compon. Lett. 17, 831-833 (2007).
[CrossRef]

Sarrazin, M.

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

Schotsch, C.

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

Segerink, F. B.

K. L. van der Molen, F. B. Segerink, N. F. van Hulst, and L. Kuipers "Influence of hole size on the extraordinary transmission through subwavelength hole arrays," Appl. Phys. Lett. 85, 4316-4318 (2004).
[CrossRef]

Sorolla, M.

Synge, E. H.

E. H. Synge, "A suggested model for extending microscopic resolution into the ultra-microscopic region," Philos. Mag. 3, 356-362 (1928).

Thio, T.

L. Martín-Moreno, F. J. García-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] [PubMed]

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

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

Treacy, M.M.J.

M.M.J. Treacy, "Dynamical diffraction in metallic optical gratings," Appl. Phys. Lett. 75, 606-608 (1999).
[CrossRef]

Ulrich, R.

R. Ulrich, "Far-infrared properties of metallic mesh and its complementary structure," Inf. Phys. 7, 37-55, (1967).
[CrossRef]

van der Molen, K. L.

K. L. van der Molen, F. B. Segerink, N. F. van Hulst, and L. Kuipers "Influence of hole size on the extraordinary transmission through subwavelength hole arrays," Appl. Phys. Lett. 85, 4316-4318 (2004).
[CrossRef]

van Hulst, N. F.

K. L. van der Molen, F. B. Segerink, N. F. van Hulst, and L. Kuipers "Influence of hole size on the extraordinary transmission through subwavelength hole arrays," Appl. Phys. Lett. 85, 4316-4318 (2004).
[CrossRef]

Vigneron, J. P.

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

Vigoureux, J. M.

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

Williams, J. T.

D. R. Jackson, A. A. Oliner, T. Zhao, and J. T. Williams, "Beaming of light at broadside through a subwavelength hole: Leaky wave model and open stopband effect," Radio Sci. 40, 1-12 (2005).
[CrossRef]

Wolf, P. A.

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

Wolff, P. A.

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

Zhang, W.

Zhao, T.

D. R. Jackson, A. A. Oliner, T. Zhao, and J. T. Williams, "Beaming of light at broadside through a subwavelength hole: Leaky wave model and open stopband effect," Radio Sci. 40, 1-12 (2005).
[CrossRef]

Zhao, Y.

Appl. Phys. Lett.

M.M.J. Treacy, "Dynamical diffraction in metallic optical gratings," Appl. Phys. Lett. 75, 606-608 (1999).
[CrossRef]

K. L. van der Molen, F. B. Segerink, N. F. van Hulst, and L. Kuipers "Influence of hole size on the extraordinary transmission through subwavelength hole arrays," Appl. Phys. Lett. 85, 4316-4318 (2004).
[CrossRef]

IEEE Microwave Wireless Compon. Lett.

M. Beruete, I. Campillo, J. E. Rodríguez-Seco, E. Perea, M. Navarro-Cía, I. J. Núñez-Manrique, and M. Sorolla, "Enhanced Gain by Double-Periodic Stacked Subwavelength Hole Array," IEEE Microwave Wireless Compon. Lett. 17, 831-833 (2007).
[CrossRef]

IEEE Trans. Microwave Theory Tech.

C. C. Chen, "Transmission of Microwave Through Perforated Flat Plates of Finite Thickness," IEEE Trans. Microwave Theory Tech. 21, 1-7, (1973).
[CrossRef]

Inf. Phys.

R. Ulrich, "Far-infrared properties of metallic mesh and its complementary structure," Inf. Phys. 7, 37-55, (1967).
[CrossRef]

J. Opt. A: Pure Appl. Opt.

E. Moreno, L. Martín-Moreno, and F. J. García-Vidal, "Extraordinary optical transmission without plasmons: the s-polarization case," J. Opt. A: Pure Appl. Opt. 8, S94-S97 (2006).
[CrossRef]

Nature

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

Opt. Commun.

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Evanescently coupled resonance in surface plasmon enhanced transmission," Opt. Commun. 200, 1-7 (2001).
[CrossRef]

Opt. Express

Opt. Lett.

Philos. Mag.

E. H. Synge, "A suggested model for extending microscopic resolution into the ultra-microscopic region," Philos. Mag. 3, 356-362 (1928).

Phys. Rev.

H. A. Bethe, "Theory of diffraction by small holes," Phys. Rev. 66, 163-182 (1944).
[CrossRef]

Phys. Rev. B

J. Gómez 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. Hendry, M. J. Lockyear, J. Gómez Rivas, L. Kuipers, and M. Bonn, "Ultrafast optical switching of the THz transmission through metallic subwavelength hole arrays," Phys. Rev. B 75, 235305 (2007).
[CrossRef]

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

V. Lomakin and E. Michielssen, "Enhanced transmission through metallic plates perforated by arrays of subwavelength holes and sandwiched between dielectric slabs," Phys. Rev. B 71, 235117 (2005).
[CrossRef]

Phys. Rev. Lett.

L. Martín-Moreno, F. J. García-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] [PubMed]

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

Proc. R. Soc. London A

J. Rayleigh, "On the dynamical theory of gratings," Proc. R. Soc. London A 79, 399-416 (1907).
[CrossRef]

Radio Sci.

D. R. Jackson, A. A. Oliner, T. Zhao, and J. T. Williams, "Beaming of light at broadside through a subwavelength hole: Leaky wave model and open stopband effect," Radio Sci. 40, 1-12 (2005).
[CrossRef]

Science

J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, "Mimicking Surface Plasmons with Structured Surfaces," Science 305, 847-848 (2004).
[CrossRef] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martín-Moreno, F. J. García-Vidal, and T. W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 820-822 (2002).
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Ultramicroscopy

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Figures (5)

Fig. 1.
Fig. 1.

Optical properties of PP-films at terahertz frequencies. THz-transmittance of 4µm-thick PI-film (a) is shown for comparison. Dashed lines with numbers (b, c) indicate positions of most intensive PP absorption lines. Note that we use the abscissas in both wavenumber (bottom in cm-1) and frequency (top in THz) units.

Fig. 2.
Fig. 2.

(a): Geometry of hole array unit cell. Note that the PP is not perforated (b, c): Microscope images of 20µm-PP-film-backed hole arrays (prototype #3) illustrating inherent granularity (surface roughness) of low-cost commercial PP-films. The case (b) corresponds to focusing on the nearest PP surface, the case (c) - focusing on the top of microhillocks.

Fig. 3.
Fig. 3.

Transmittance for p-polarzation (red curves) and s-polarization (blue curves) measurements. Dotted lines in the insets correspond to numerical results. Prototypes without Ti-layer: (a) hole diameter a=39.75 µm, (b) a=40.95 µm; Prototypes with Ti-layer: (c) a=41.35 µm, (d) a=43.10 µm. To guide the eye, black arrow indicate Wood’s anomaly linked with the large periodicity in the interface air-metal.

Fig. 4.
Fig. 4.

(a) Cross-sectional views of the unit cell just in the middle of the hole of the electric field (arrows) - only in the left hand side panel - and x-component of the electric field Ex (color map), in the vicinity of the structure with geometrical parameters as prototype 1 under s-polarization. (b, c) Cross-sectional view of the electric field (arrows) and z-component of the electric field Ez (color map), in the vicinity of the structure under p-polarization: (b) lower frequency peak - antisymmetric coupling, (c) higher frequency peak - symmetric coupling.

Fig. 5.
Fig. 5.

Peak frequency as a function of the hole diameter; (black) lower frequency resonance, (red) higher frequency resonance, (gray) and (pink) for numerical results in that order. The dotted lines are guides to the eyes.

Tables (1)

Tables Icon

Table 1. Key information of fabricated prototypes

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