Abstract

Transmission through sub-wavelength apertures in perfect metals is expected to be strongly suppressed. However, by structural engineering of the apertures, we numerically demonstrate that the transmission of transverse electric waves through periodic arrays of subwavelength apertures in a thin metallic film can be significantly enhanced. Based on equivalent circuit theory analysis, periodic arrays of square structured subwavelength apertures are obtained with a 1900-fold transmission enhancement factor when the side length a of the apertures is 10 times smaller than the wavelength (a/λ= 0.1). By examining the induced surface currents and investigating the influence of the lattice constant and the incident angle to the resonant frequency, we show that the enhancement is due to the excitation of the strong localized resonant modes of the structured apertures.

© 2010 Optical Society of America

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    [CrossRef]
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    [CrossRef]

2009 (4)

S. Collin, C. Sauvan, C. Billaudeau, F. Pardo, J. C. Rodier, J. L. Pelouard, and P. Lalanne, "Surface modes on nanostructured metallic surfaces," Phys. Rev. B 79, 165405 (2009).
[CrossRef]

K. Aydin, A. O. Cakmak, L. Sahin, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "split-ring-resonator-coupled enhanced transmission through a single subwavelength aperture," Phys. Rev. Lett. 102, 013904 (2009).
[CrossRef] [PubMed]

A. O. Cakmak, K. Aydin, E. Colak, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "Enhanced transmission through a subwavelength aperture using metamaterials," Appl Phys. Lett. 95, 052103 (2009).
[CrossRef]

Y. Ye and Y. Jin, "Enhanced transmission of transverse electric waves through subwavelength slits in a thin metallic film," Phy. Rev. E 80, 036606 (2009).
[CrossRef]

2008 (2)

S. Xiao, N. A. Mortensen and M. Qiu, "Enhanced transmission through arrays of subwavelength holes in gold films coated by a finite dielectric layer," J. Eur. Opt. Soc. Rapid Publ. 3, 08022 (2008).
[CrossRef]

L. Shen, X. Chen, and T. J. Tang, "Terahertz surface plasmon polaritons on periodically corrugated metal surfaces," Opt. Express 16, 3326-3333 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-5-3326
[CrossRef] [PubMed]

2007 (1)

Z. Ruan, and M. Qiu, "Slow electromagnetic wave guided in subwavelength region along one-dimensional periodically structured metal surface," Appl. Phys. Lett. 90, 201906 (2007).
[CrossRef]

2006 (2)

M. I. Haftel, C. Schlockermann, and G. Blumeberg, "Enhanced transmission with coaxial nanoapertures: Role of cylindrical surface plasmons," Phys. Rev. B 74, 235405-235415 (2006).
[CrossRef]

Z. Ruan and M. Qiu, "Enhanced transmission through periodic arrays of subwavelength holes: The role of localized waveguide resonances," Phys. Rev. Lett. 96, 233901 (2006).
[CrossRef] [PubMed]

2005 (6)

P. Lalanne, J. C. Rodier, and J. P. Hugonin "Surface plasmons of metallic surfaces perforated by nanohole arrays," J. Opt. A: Pure Appl. Opt. 7, 422-426 (2005).
[CrossRef]

S. Xiao and M. Qiu, "Theoretical study of the transmission properties of a metallic film with surface corrugations," J. Opt. A: Pure Appl. Opt. 9, 348-351 (2005).
[CrossRef]

F. J. Garcıa-Vidal, E. Moreno, J. A. Porto, and L. Martın-Moreno, "Transmission of light through a single rectangular hole," Phys. Rev. Lett. 95, 103901 (2005).
[CrossRef] [PubMed]

A. P. Hibbins, B. R. Evans, and J. R. Sambles, "Experimental verification of designer surface plasmons," Science 308, 670-672 (2005).
[CrossRef] [PubMed]

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory," Phys. Rev. B 72, 045421 (2005).
[CrossRef]

B. F. Bai, L. F. Li, and L. J. Zeng, "Experimental verification of enhanced transmission through twodimensionally corrugated metallic films without holes," Opt. Lett. 30, 2360-2362 (2005).
[CrossRef] [PubMed]

2004 (4)

A. Giannattasio, H. Ian, and B. William, "Transmission of light through thin silver films via surface plasmon-polaritons," Opt. Express 12, 5881-5886 (2004), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-24-5881.
[CrossRef] [PubMed]

K. J. Klein 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, 183901 (2004).
[CrossRef]

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, "Trong polarization in the optical transmission through elliptical nanohole arrays," Phys. Rev. Lett. 92, 037401 (2004).
[CrossRef] [PubMed]

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

2003 (2)

F. I. Baida and D. Van Labeke, "Three-dimensional structures for enhanced transmission through a metallic film: Annular aperture arrays," Phys. Rev. B 67, 155314-155320 (2003).
[CrossRef]

N. Bonod, S. Enoch, L. L, E. Popov, and M. Neviere, "Resonant optical transmission through thin metallic films with and without holes," Opt. Express 11, 482-490 (2003), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-5-482
[CrossRef] [PubMed]

2001 (2)

L. Martin-Moreno, F. J. Garca-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," Phy. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

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

2000 (1)

1999 (1)

J. A. Porto, F. J. Garcia-Vidal, and P. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2853 (1999).
[CrossRef]

1998 (2)

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]

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 58, 6779-6782 (1998).
[CrossRef]

1987 (1)

1944 (1)

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

Avrutsky, I.

Aydin, K.

K. Aydin, A. O. Cakmak, L. Sahin, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "split-ring-resonator-coupled enhanced transmission through a single subwavelength aperture," Phys. Rev. Lett. 102, 013904 (2009).
[CrossRef] [PubMed]

A. O. Cakmak, K. Aydin, E. Colak, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "Enhanced transmission through a subwavelength aperture using metamaterials," Appl Phys. Lett. 95, 052103 (2009).
[CrossRef]

Bai, B. F.

Baida, F. I.

F. I. Baida and D. Van Labeke, "Three-dimensional structures for enhanced transmission through a metallic film: Annular aperture arrays," Phys. Rev. B 67, 155314-155320 (2003).
[CrossRef]

Bethe, H. A.

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

Billaudeau, C.

S. Collin, C. Sauvan, C. Billaudeau, F. Pardo, J. C. Rodier, J. L. Pelouard, and P. Lalanne, "Surface modes on nanostructured metallic surfaces," Phys. Rev. B 79, 165405 (2009).
[CrossRef]

Bilotti, F.

K. Aydin, A. O. Cakmak, L. Sahin, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "split-ring-resonator-coupled enhanced transmission through a single subwavelength aperture," Phys. Rev. Lett. 102, 013904 (2009).
[CrossRef] [PubMed]

A. O. Cakmak, K. Aydin, E. Colak, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "Enhanced transmission through a subwavelength aperture using metamaterials," Appl Phys. Lett. 95, 052103 (2009).
[CrossRef]

Blumeberg, G.

M. I. Haftel, C. Schlockermann, and G. Blumeberg, "Enhanced transmission with coaxial nanoapertures: Role of cylindrical surface plasmons," Phys. Rev. B 74, 235405-235415 (2006).
[CrossRef]

Bonod, N.

Brolo, A. G.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, "Trong polarization in the optical transmission through elliptical nanohole arrays," Phys. Rev. Lett. 92, 037401 (2004).
[CrossRef] [PubMed]

Cakmak, A. O.

A. O. Cakmak, K. Aydin, E. Colak, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "Enhanced transmission through a subwavelength aperture using metamaterials," Appl Phys. Lett. 95, 052103 (2009).
[CrossRef]

K. Aydin, A. O. Cakmak, L. Sahin, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "split-ring-resonator-coupled enhanced transmission through a single subwavelength aperture," Phys. Rev. Lett. 102, 013904 (2009).
[CrossRef] [PubMed]

Chen, X.

Colak, E.

A. O. Cakmak, K. Aydin, E. Colak, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "Enhanced transmission through a subwavelength aperture using metamaterials," Appl Phys. Lett. 95, 052103 (2009).
[CrossRef]

Collin, S.

S. Collin, C. Sauvan, C. Billaudeau, F. Pardo, J. C. Rodier, J. L. Pelouard, and P. Lalanne, "Surface modes on nanostructured metallic surfaces," Phys. Rev. B 79, 165405 (2009).
[CrossRef]

Ebbesen, T. W.

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

L. Martin-Moreno, F. J. Garca-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," Phy. Rev. Lett. 86, 1114-1117 (2001).
[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]

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 58, 6779-6782 (1998).
[CrossRef]

Enoch, S.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory," Phys. Rev. B 72, 045421 (2005).
[CrossRef]

K. J. Klein 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, 183901 (2004).
[CrossRef]

N. Bonod, S. Enoch, L. L, E. Popov, and M. Neviere, "Resonant optical transmission through thin metallic films with and without holes," Opt. Express 11, 482-490 (2003), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-5-482
[CrossRef] [PubMed]

Evans, B. R.

A. P. Hibbins, B. R. Evans, and J. R. Sambles, "Experimental verification of designer surface plasmons," Science 308, 670-672 (2005).
[CrossRef] [PubMed]

Garca-Vidal, F. J.

L. Martin-Moreno, F. J. Garca-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," Phy. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

Garcia-Vidal, F. J.

F. J. Garcıa-Vidal, E. Moreno, J. A. Porto, and L. Martın-Moreno, "Transmission of light through a single rectangular hole," Phys. Rev. Lett. 95, 103901 (2005).
[CrossRef] [PubMed]

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

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

J. A. Porto, F. J. Garcia-Vidal, and P. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2853 (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]

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 58, 6779-6782 (1998).
[CrossRef]

Giannattasio, A.

Gordon, R.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, "Trong polarization in the optical transmission through elliptical nanohole arrays," Phys. Rev. Lett. 92, 037401 (2004).
[CrossRef] [PubMed]

Grupp, D. E.

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 58, 6779-6782 (1998).
[CrossRef]

Haftel, M. I.

M. I. Haftel, C. Schlockermann, and G. Blumeberg, "Enhanced transmission with coaxial nanoapertures: Role of cylindrical surface plasmons," Phys. Rev. B 74, 235405-235415 (2006).
[CrossRef]

Hibbins, A. P.

A. P. Hibbins, B. R. Evans, and J. R. Sambles, "Experimental verification of designer surface plasmons," Science 308, 670-672 (2005).
[CrossRef] [PubMed]

Hugonin, J. P.

P. Lalanne, J. C. Rodier, and J. P. Hugonin "Surface plasmons of metallic surfaces perforated by nanohole arrays," J. Opt. A: Pure Appl. Opt. 7, 422-426 (2005).
[CrossRef]

Ian, H.

Jin, Y.

Y. Ye and Y. Jin, "Enhanced transmission of transverse electric waves through subwavelength slits in a thin metallic film," Phy. Rev. E 80, 036606 (2009).
[CrossRef]

Kavanagh, K. L.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, "Trong polarization in the optical transmission through elliptical nanohole arrays," Phys. Rev. Lett. 92, 037401 (2004).
[CrossRef] [PubMed]

Kim, T. J.

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

Klein Koerkamp, K. J.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory," Phys. Rev. B 72, 045421 (2005).
[CrossRef]

K. J. Klein 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, 183901 (2004).
[CrossRef]

Kochergin, V.

Krishnan, A.

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

Kuipers, L.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory," Phys. Rev. B 72, 045421 (2005).
[CrossRef]

K. J. Klein 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, 183901 (2004).
[CrossRef]

Lalanne, P.

S. Collin, C. Sauvan, C. Billaudeau, F. Pardo, J. C. Rodier, J. L. Pelouard, and P. Lalanne, "Surface modes on nanostructured metallic surfaces," Phys. Rev. B 79, 165405 (2009).
[CrossRef]

P. Lalanne, J. C. Rodier, and J. P. Hugonin "Surface plasmons of metallic surfaces perforated by nanohole arrays," J. Opt. A: Pure Appl. Opt. 7, 422-426 (2005).
[CrossRef]

Leathem, B.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, "Trong polarization in the optical transmission through elliptical nanohole arrays," Phys. Rev. Lett. 92, 037401 (2004).
[CrossRef] [PubMed]

Lezec, H. J.

L. Martin-Moreno, F. J. Garca-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," Phy. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

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

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 58, 6779-6782 (1998).
[CrossRef]

Li, L. F.

Li, Z.

A. O. Cakmak, K. Aydin, E. Colak, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "Enhanced transmission through a subwavelength aperture using metamaterials," Appl Phys. Lett. 95, 052103 (2009).
[CrossRef]

K. Aydin, A. O. Cakmak, L. Sahin, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "split-ring-resonator-coupled enhanced transmission through a single subwavelength aperture," Phys. Rev. Lett. 102, 013904 (2009).
[CrossRef] [PubMed]

Martin-Moreno, L.

F. J. Garcıa-Vidal, E. Moreno, J. A. Porto, and L. Martın-Moreno, "Transmission of light through a single rectangular hole," Phys. Rev. Lett. 95, 103901 (2005).
[CrossRef] [PubMed]

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

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

L. Martin-Moreno, F. J. Garca-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," Phy. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

McKinnon, A.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, "Trong polarization in the optical transmission through elliptical nanohole arrays," Phys. Rev. Lett. 92, 037401 (2004).
[CrossRef] [PubMed]

Moreno, E.

F. J. Garcıa-Vidal, E. Moreno, J. A. Porto, and L. Martın-Moreno, "Transmission of light through a single rectangular hole," Phys. Rev. Lett. 95, 103901 (2005).
[CrossRef] [PubMed]

Mortensen, N. A.

S. Xiao, N. A. Mortensen and M. Qiu, "Enhanced transmission through arrays of subwavelength holes in gold films coated by a finite dielectric layer," J. Eur. Opt. Soc. Rapid Publ. 3, 08022 (2008).
[CrossRef]

Ozbay, E.

K. Aydin, A. O. Cakmak, L. Sahin, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "split-ring-resonator-coupled enhanced transmission through a single subwavelength aperture," Phys. Rev. Lett. 102, 013904 (2009).
[CrossRef] [PubMed]

A. O. Cakmak, K. Aydin, E. Colak, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "Enhanced transmission through a subwavelength aperture using metamaterials," Appl Phys. Lett. 95, 052103 (2009).
[CrossRef]

Pardo, F.

S. Collin, C. Sauvan, C. Billaudeau, F. Pardo, J. C. Rodier, J. L. Pelouard, and P. Lalanne, "Surface modes on nanostructured metallic surfaces," Phys. Rev. B 79, 165405 (2009).
[CrossRef]

Pellerin, K. M.

L. Martin-Moreno, F. J. Garca-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," Phy. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

Pelouard, J. L.

S. Collin, C. Sauvan, C. Billaudeau, F. Pardo, J. C. Rodier, J. L. Pelouard, and P. Lalanne, "Surface modes on nanostructured metallic surfaces," Phys. Rev. B 79, 165405 (2009).
[CrossRef]

Pendry, J. B.

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

L. Martin-Moreno, F. J. Garca-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," Phy. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

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

Pendry, P. B.

J. A. Porto, F. J. Garcia-Vidal, and P. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2853 (1999).
[CrossRef]

Porto, J. A.

F. J. Garcıa-Vidal, E. Moreno, J. A. Porto, and L. Martın-Moreno, "Transmission of light through a single rectangular hole," Phys. Rev. Lett. 95, 103901 (2005).
[CrossRef] [PubMed]

J. A. Porto, F. J. Garcia-Vidal, and P. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2853 (1999).
[CrossRef]

Qiu, M.

S. Xiao, N. A. Mortensen and M. Qiu, "Enhanced transmission through arrays of subwavelength holes in gold films coated by a finite dielectric layer," J. Eur. Opt. Soc. Rapid Publ. 3, 08022 (2008).
[CrossRef]

Z. Ruan, and M. Qiu, "Slow electromagnetic wave guided in subwavelength region along one-dimensional periodically structured metal surface," Appl. Phys. Lett. 90, 201906 (2007).
[CrossRef]

Z. Ruan and M. Qiu, "Enhanced transmission through periodic arrays of subwavelength holes: The role of localized waveguide resonances," Phys. Rev. Lett. 96, 233901 (2006).
[CrossRef] [PubMed]

S. Xiao and M. Qiu, "Theoretical study of the transmission properties of a metallic film with surface corrugations," J. Opt. A: Pure Appl. Opt. 9, 348-351 (2005).
[CrossRef]

Rajora, A.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, "Trong polarization in the optical transmission through elliptical nanohole arrays," Phys. Rev. Lett. 92, 037401 (2004).
[CrossRef] [PubMed]

Roberts, A.

Rodier, J. C.

S. Collin, C. Sauvan, C. Billaudeau, F. Pardo, J. C. Rodier, J. L. Pelouard, and P. Lalanne, "Surface modes on nanostructured metallic surfaces," Phys. Rev. B 79, 165405 (2009).
[CrossRef]

P. Lalanne, J. C. Rodier, and J. P. Hugonin "Surface plasmons of metallic surfaces perforated by nanohole arrays," J. Opt. A: Pure Appl. Opt. 7, 422-426 (2005).
[CrossRef]

Ruan, Z.

Z. Ruan, and M. Qiu, "Slow electromagnetic wave guided in subwavelength region along one-dimensional periodically structured metal surface," Appl. Phys. Lett. 90, 201906 (2007).
[CrossRef]

Z. Ruan and M. Qiu, "Enhanced transmission through periodic arrays of subwavelength holes: The role of localized waveguide resonances," Phys. Rev. Lett. 96, 233901 (2006).
[CrossRef] [PubMed]

Sahin, L.

K. Aydin, A. O. Cakmak, L. Sahin, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "split-ring-resonator-coupled enhanced transmission through a single subwavelength aperture," Phys. Rev. Lett. 102, 013904 (2009).
[CrossRef] [PubMed]

Sambles, J. R.

A. P. Hibbins, B. R. Evans, and J. R. Sambles, "Experimental verification of designer surface plasmons," Science 308, 670-672 (2005).
[CrossRef] [PubMed]

Sauvan, C.

S. Collin, C. Sauvan, C. Billaudeau, F. Pardo, J. C. Rodier, J. L. Pelouard, and P. Lalanne, "Surface modes on nanostructured metallic surfaces," Phys. Rev. B 79, 165405 (2009).
[CrossRef]

Schlockermann, C.

M. I. Haftel, C. Schlockermann, and G. Blumeberg, "Enhanced transmission with coaxial nanoapertures: Role of cylindrical surface plasmons," Phys. Rev. B 74, 235405-235415 (2006).
[CrossRef]

Segerink, F. B.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory," Phys. Rev. B 72, 045421 (2005).
[CrossRef]

K. J. Klein 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, 183901 (2004).
[CrossRef]

Shen, L.

Tang, T. J.

Thio, T.

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

L. Martin-Moreno, F. J. Garca-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," Phy. Rev. Lett. 86, 1114-1117 (2001).
[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]

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 58, 6779-6782 (1998).
[CrossRef]

van der Molen, K. L.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory," Phys. Rev. B 72, 045421 (2005).
[CrossRef]

van Hulst, N. F.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory," Phys. Rev. B 72, 045421 (2005).
[CrossRef]

K. J. Klein 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, 183901 (2004).
[CrossRef]

Van Labeke, D.

F. I. Baida and D. Van Labeke, "Three-dimensional structures for enhanced transmission through a metallic film: Annular aperture arrays," Phys. Rev. B 67, 155314-155320 (2003).
[CrossRef]

Vegni, L.

A. O. Cakmak, K. Aydin, E. Colak, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "Enhanced transmission through a subwavelength aperture using metamaterials," Appl Phys. Lett. 95, 052103 (2009).
[CrossRef]

K. Aydin, A. O. Cakmak, L. Sahin, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "split-ring-resonator-coupled enhanced transmission through a single subwavelength aperture," Phys. Rev. Lett. 102, 013904 (2009).
[CrossRef] [PubMed]

William, B.

Wolff, P. A.

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

Xiao, S.

S. Xiao, N. A. Mortensen and M. Qiu, "Enhanced transmission through arrays of subwavelength holes in gold films coated by a finite dielectric layer," J. Eur. Opt. Soc. Rapid Publ. 3, 08022 (2008).
[CrossRef]

S. Xiao and M. Qiu, "Theoretical study of the transmission properties of a metallic film with surface corrugations," J. Opt. A: Pure Appl. Opt. 9, 348-351 (2005).
[CrossRef]

Ye, Y.

Y. Ye and Y. Jin, "Enhanced transmission of transverse electric waves through subwavelength slits in a thin metallic film," Phy. Rev. E 80, 036606 (2009).
[CrossRef]

Zeng, L. J.

Zhao, Y.

Appl Phys. Lett. (1)

A. O. Cakmak, K. Aydin, E. Colak, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "Enhanced transmission through a subwavelength aperture using metamaterials," Appl Phys. Lett. 95, 052103 (2009).
[CrossRef]

Appl. Phys. Lett. (1)

Z. Ruan, and M. Qiu, "Slow electromagnetic wave guided in subwavelength region along one-dimensional periodically structured metal surface," Appl. Phys. Lett. 90, 201906 (2007).
[CrossRef]

J. Eur. Opt. Soc. Rapid Publ. (1)

S. Xiao, N. A. Mortensen and M. Qiu, "Enhanced transmission through arrays of subwavelength holes in gold films coated by a finite dielectric layer," J. Eur. Opt. Soc. Rapid Publ. 3, 08022 (2008).
[CrossRef]

J. Opt. A: Pure Appl. Opt. (2)

S. Xiao and M. Qiu, "Theoretical study of the transmission properties of a metallic film with surface corrugations," J. Opt. A: Pure Appl. Opt. 9, 348-351 (2005).
[CrossRef]

P. Lalanne, J. C. Rodier, and J. P. Hugonin "Surface plasmons of metallic surfaces perforated by nanohole arrays," J. Opt. A: Pure Appl. Opt. 7, 422-426 (2005).
[CrossRef]

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

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. Commun. (1)

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

Opt. Express (3)

Opt. Lett. (2)

Phy. Rev. E (1)

Y. Ye and Y. Jin, "Enhanced transmission of transverse electric waves through subwavelength slits in a thin metallic film," Phy. Rev. E 80, 036606 (2009).
[CrossRef]

Phy. Rev. Lett. (1)

L. Martin-Moreno, F. J. Garca-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," Phy. Rev. Lett. 86, 1114-1117 (2001).
[CrossRef]

Phys. Rev. (1)

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

Phys. Rev. B (5)

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory," Phys. Rev. B 72, 045421 (2005).
[CrossRef]

S. Collin, C. Sauvan, C. Billaudeau, F. Pardo, J. C. Rodier, J. L. Pelouard, and P. Lalanne, "Surface modes on nanostructured metallic surfaces," Phys. Rev. B 79, 165405 (2009).
[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 58, 6779-6782 (1998).
[CrossRef]

F. I. Baida and D. Van Labeke, "Three-dimensional structures for enhanced transmission through a metallic film: Annular aperture arrays," Phys. Rev. B 67, 155314-155320 (2003).
[CrossRef]

M. I. Haftel, C. Schlockermann, and G. Blumeberg, "Enhanced transmission with coaxial nanoapertures: Role of cylindrical surface plasmons," Phys. Rev. B 74, 235405-235415 (2006).
[CrossRef]

Phys. Rev. Lett. (6)

K. Aydin, A. O. Cakmak, L. Sahin, Z. Li, F. Bilotti, L. Vegni, and E. Ozbay, "split-ring-resonator-coupled enhanced transmission through a single subwavelength aperture," Phys. Rev. Lett. 102, 013904 (2009).
[CrossRef] [PubMed]

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, "Trong polarization in the optical transmission through elliptical nanohole arrays," Phys. Rev. Lett. 92, 037401 (2004).
[CrossRef] [PubMed]

J. A. Porto, F. J. Garcia-Vidal, and P. B. Pendry, "Transmission resonances on metallic gratings with very narrow slits," Phys. Rev. Lett. 83, 2845-2853 (1999).
[CrossRef]

Z. Ruan and M. Qiu, "Enhanced transmission through periodic arrays of subwavelength holes: The role of localized waveguide resonances," Phys. Rev. Lett. 96, 233901 (2006).
[CrossRef] [PubMed]

F. J. Garcıa-Vidal, E. Moreno, J. A. Porto, and L. Martın-Moreno, "Transmission of light through a single rectangular hole," Phys. Rev. Lett. 95, 103901 (2005).
[CrossRef] [PubMed]

K. J. Klein 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, 183901 (2004).
[CrossRef]

Science (2)

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

A. P. Hibbins, B. R. Evans, and J. R. Sambles, "Experimental verification of designer surface plasmons," Science 308, 670-672 (2005).
[CrossRef] [PubMed]

Other (1)

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Figures (5)

Fig. 1.
Fig. 1.

Unit cell for a periodic array of subwavelength (a) regular rectangular apertures; (b) rectangular apertures incorporated with metallic bars; (c) square apertures incorporated with T-shape metallic bars. Axis shows the propagation direction and polarization of the incident plane wave.

Fig. 2.
Fig. 2.

(a) Transmittance spectra for periodic arrays of subwavelength apertures with (the green solid line) and without (the blue dashed line) the metallic bars. The inset shows the top-view of the central part of the structure with the metallic bars as shown in Fig. 1(b). Note that the lower trace has been magnified by a factor of 20. (b) Transmittance as a function of the width of the metallic bars w. (c) Transmittance versus the distance g between the bars and the short axis of the subwavelength apertures, where g = (b-l)/2 (b and l is the length of the apertures and of the metallic bars in the y direction, respectively).

Fig. 3.
Fig. 3.

The induced surface currents for the subwavelength apertures without (a) or with (b) the metallic bars at the central plane of the film structure in the z direction. (c) Equivalent LC circuit for the result shown in (b). (d) Modified equivalent LC circuit.

Fig. 4.
Fig. 4.

(a) Normalized transmission for aperture structures with (the green solid line) and without (the blue dashed line) the T-shape metallic bars. The inset shows the top-view of the central part of the structure with the T-shape bars as shown in Fig. 1(c). Note that the lower trace has been magnified by a factor of 50. (b) Normalized transmission as a function of wx when lx=2.5 mm, g=0.1 mm and wy=0.03 mm. (c) Normalized transmission versus lx when wx=0.5 mm, g=0.1 mm and wy=0.03 mm. The bar in the y direction are described by wx and ly and the bar in the x direction are denoted by lx and wy. g is defined as g = (a- ly -wy), where a is the side length of the square aperture.

Fig. 5.
Fig. 5.

Normalized transmission as a function of (a) the lattice constant p (b) the incident elevation angle ϕ.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

ω = 1 ( L 1 + L 2 / 2 ) C / 2 ,
T norm = T S aperture / S cell = P out P in S cell S aperture ,

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