Abstract

We have investigated light beaming through a single slit in a silver thin film with periodic gratings on the output side in the mid-infrared wavelength range. We show that light beaming in mid-infrared is mainly controlled by spoof surface plasmons. We take account of both the dispersion relation and the phase-matching condition of spoof surface plasmons to obtain good beaming efficiency. Through engineering the geometrical parameters of the grating structures, we can achieve the desired near-field and far-field distribution in mid-infrared.

© 2010 Optical Society of America

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  1. H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev. 66, 163-182 (1944).
    [CrossRef]
  2. H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
    [CrossRef] [PubMed]
  3. L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
    [CrossRef]
  4. B. Wang and G. P. Wang, “Directional beaming of light from a nanoslit surrounded by metallic heterostructures,” Appl. Phys. Lett. 88, 013114 (2006).
    [CrossRef]
  5. J. Zhang and G. P. Wang, “Simultaneous realization of transmission enhancement and directional beaming of dual-wavelength light by a metal nanoslit,” Opt. Express 17, 9543-9548 (2009).
    [CrossRef] [PubMed]
  6. D. Z. Lin, C. K. Chang, Y. C. Chen, D. L. Yang, M. W. Lin, J. T. Yeh, J. M. Liu, C. H. Kuan, C. S. Yeh, and C. K. Lee, “Beaming light from a subwavelength metal slit surrounded by dielectric surface gratings,” Opt. Express 14, 3503-3511 (2006).
    [CrossRef] [PubMed]
  7. X. Zhang and C. F. Li, “Polarization-independent directional beaming of light by a subwavelength metal slit,” Chinese Phys. Lett. 26, 114204 (2009).
    [CrossRef]
  8. S. K. Morrison and Y. S. Kivshar, “Engineering of directional emission from photonic-crystal waveguides,” Appl. Phys. Lett. 86, 081110 (2005).
    [CrossRef]
  9. W. R. Frei, D. A. Tortorelli, and H. T. Johnson, “Topology optimization of a photonic crystal waveguide termination to maximize directional emission,” Appl. Phys. Lett. 86, 111114 (2005).
    [CrossRef]
  10. I. Bulu, H. Caglayan, and E. Ozbay, “Beaming of light and enhanced transmission via surface modes of photonic crystals,” Opt. Lett. 30, 3078-3081 (2005).
    [CrossRef] [PubMed]
  11. N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
    [CrossRef]
  12. N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
    [CrossRef] [PubMed]
  13. N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
    [CrossRef]
  14. P. Lalanne, J. P. Hugonin, and J. C. Rodier, “Theory of surface plasmon generation at nanoslit apertures,” Phys. Rev. Lett. 95, 263902 (2005)
    [CrossRef]
  15. J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, “Mimicking surface plasmons with structured surfaces,” Science 305, 847-848 (2004)
    [CrossRef] [PubMed]
  16. F. J. Garcia-Vidal, L. Martin-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7, 97-101 (2005).
    [CrossRef]
  17. C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2, 175-179 (2008).
    [CrossRef]
  18. Q. Gan, Z. Fu, Y. J. Ding, and F. J. Bartoli, “Ultra-wide band slow light system based on THz plasmonic graded metal grating structures,” Phys. Rev. Lett. 100, 256803 (2008).
    [CrossRef] [PubMed]
  19. L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
    [CrossRef] [PubMed]

2009 (2)

X. Zhang and C. F. Li, “Polarization-independent directional beaming of light by a subwavelength metal slit,” Chinese Phys. Lett. 26, 114204 (2009).
[CrossRef]

J. Zhang and G. P. Wang, “Simultaneous realization of transmission enhancement and directional beaming of dual-wavelength light by a metal nanoslit,” Opt. Express 17, 9543-9548 (2009).
[CrossRef] [PubMed]

2008 (5)

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2, 175-179 (2008).
[CrossRef]

Q. Gan, Z. Fu, Y. J. Ding, and F. J. Bartoli, “Ultra-wide band slow light system based on THz plasmonic graded metal grating structures,” Phys. Rev. Lett. 100, 256803 (2008).
[CrossRef] [PubMed]

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

2006 (2)

2005 (6)

F. J. Garcia-Vidal, L. Martin-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7, 97-101 (2005).
[CrossRef]

I. Bulu, H. Caglayan, and E. Ozbay, “Beaming of light and enhanced transmission via surface modes of photonic crystals,” Opt. Lett. 30, 3078-3081 (2005).
[CrossRef] [PubMed]

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[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]

S. K. Morrison and Y. S. Kivshar, “Engineering of directional emission from photonic-crystal waveguides,” Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

W. R. Frei, D. A. Tortorelli, and H. T. Johnson, “Topology optimization of a photonic crystal waveguide termination to maximize directional emission,” Appl. Phys. Lett. 86, 111114 (2005).
[CrossRef]

2004 (1)

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

2003 (1)

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

2002 (1)

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

1944 (1)

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

Andrews, S. R.

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2, 175-179 (2008).
[CrossRef]

Bartoli, F. J.

Q. Gan, Z. Fu, Y. J. Ding, and F. J. Bartoli, “Ultra-wide band slow light system based on THz plasmonic graded metal grating structures,” Phys. Rev. Lett. 100, 256803 (2008).
[CrossRef] [PubMed]

Bethe, H. A.

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

Blanchard, R.

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

Bulu, I.

Caglayan, H.

Capasso, F.

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

Chang, C. K.

Chang, Y. C.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Chen, Y. C.

D. Z. Lin, C. K. Chang, Y. C. Chen, D. L. Yang, M. W. Lin, J. T. Yeh, J. M. Liu, C. H. Kuan, C. S. Yeh, and C. K. Lee, “Beaming light from a subwavelength metal slit surrounded by dielectric surface gratings,” Opt. Express 14, 3503-3511 (2006).
[CrossRef] [PubMed]

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Degiron, A.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

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

Diehl, L.

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

Ding, Y. J.

Q. Gan, Z. Fu, Y. J. Ding, and F. J. Bartoli, “Ultra-wide band slow light system based on THz plasmonic graded metal grating structures,” Phys. Rev. Lett. 100, 256803 (2008).
[CrossRef] [PubMed]

Ebbesen, T. W.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

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

Edamura, T.

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

Fan, J.

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

Fernández-Domínguez, A. I.

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2, 175-179 (2008).
[CrossRef]

Frei, W. R.

W. R. Frei, D. A. Tortorelli, and H. T. Johnson, “Topology optimization of a photonic crystal waveguide termination to maximize directional emission,” Appl. Phys. Lett. 86, 111114 (2005).
[CrossRef]

Fu, Z.

Q. Gan, Z. Fu, Y. J. Ding, and F. J. Bartoli, “Ultra-wide band slow light system based on THz plasmonic graded metal grating structures,” Phys. Rev. Lett. 100, 256803 (2008).
[CrossRef] [PubMed]

Gan, Q.

Q. Gan, Z. Fu, Y. J. Ding, and F. J. Bartoli, “Ultra-wide band slow light system based on THz plasmonic graded metal grating structures,” Phys. Rev. Lett. 100, 256803 (2008).
[CrossRef] [PubMed]

Garcia-Vidal, F. J.

F. J. Garcia-Vidal, L. Martin-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7, 97-101 (2005).
[CrossRef]

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

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

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

García-Vidal, F. J.

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2, 175-179 (2008).
[CrossRef]

Huang, K. T.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

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]

Johnson, H. T.

W. R. Frei, D. A. Tortorelli, and H. T. Johnson, “Topology optimization of a photonic crystal waveguide termination to maximize directional emission,” Appl. Phys. Lett. 86, 111114 (2005).
[CrossRef]

Kan, H.

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

Kivshar, Y. S.

S. K. Morrison and Y. S. Kivshar, “Engineering of directional emission from photonic-crystal waveguides,” Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

Kuan, C. H.

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]

Lee, C. K.

D. Z. Lin, C. K. Chang, Y. C. Chen, D. L. Yang, M. W. Lin, J. T. Yeh, J. M. Liu, C. H. Kuan, C. S. Yeh, and C. K. Lee, “Beaming light from a subwavelength metal slit surrounded by dielectric surface gratings,” Opt. Express 14, 3503-3511 (2006).
[CrossRef] [PubMed]

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Lezec, H. J.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

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

Li, C. F.

X. Zhang and C. F. Li, “Polarization-independent directional beaming of light by a subwavelength metal slit,” Chinese Phys. Lett. 26, 114204 (2009).
[CrossRef]

Liaw, J. W.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Lin, D. Z.

D. Z. Lin, C. K. Chang, Y. C. Chen, D. L. Yang, M. W. Lin, J. T. Yeh, J. M. Liu, C. H. Kuan, C. S. Yeh, and C. K. Lee, “Beaming light from a subwavelength metal slit surrounded by dielectric surface gratings,” Opt. Express 14, 3503-3511 (2006).
[CrossRef] [PubMed]

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Lin, M. W.

Linke, R. A.

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

Liu, J. M.

D. Z. Lin, C. K. Chang, Y. C. Chen, D. L. Yang, M. W. Lin, J. T. Yeh, J. M. Liu, C. H. Kuan, C. S. Yeh, and C. K. Lee, “Beaming light from a subwavelength metal slit surrounded by dielectric surface gratings,” Opt. Express 14, 3503-3511 (2006).
[CrossRef] [PubMed]

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Maier, S. A.

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2, 175-179 (2008).
[CrossRef]

Martin-Moreno, L.

F. J. Garcia-Vidal, L. Martin-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7, 97-101 (2005).
[CrossRef]

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

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

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

Martín-Moreno, L.

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2, 175-179 (2008).
[CrossRef]

Morrison, S. K.

S. K. Morrison and Y. S. Kivshar, “Engineering of directional emission from photonic-crystal waveguides,” Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

Ozbay, E.

Pendry, J. B.

F. J. Garcia-Vidal, L. Martin-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7, 97-101 (2005).
[CrossRef]

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

Pflugl, C.

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

Pflügl, C.

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

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]

Tortorelli, D. A.

W. R. Frei, D. A. Tortorelli, and H. T. Johnson, “Topology optimization of a photonic crystal waveguide termination to maximize directional emission,” Appl. Phys. Lett. 86, 111114 (2005).
[CrossRef]

Wang, B.

B. Wang and G. P. Wang, “Directional beaming of light from a nanoslit surrounded by metallic heterostructures,” Appl. Phys. Lett. 88, 013114 (2006).
[CrossRef]

Wang, G. P.

J. Zhang and G. P. Wang, “Simultaneous realization of transmission enhancement and directional beaming of dual-wavelength light by a metal nanoslit,” Opt. Express 17, 9543-9548 (2009).
[CrossRef] [PubMed]

B. Wang and G. P. Wang, “Directional beaming of light from a nanoslit surrounded by metallic heterostructures,” Appl. Phys. Lett. 88, 013114 (2006).
[CrossRef]

Wang, Q.

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

Williams, C. R.

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2, 175-179 (2008).
[CrossRef]

Yamanishi, M.

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

Yamanishi, M. i.

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

Yang, D. L.

Yeh, C. S.

D. Z. Lin, C. K. Chang, Y. C. Chen, D. L. Yang, M. W. Lin, J. T. Yeh, J. M. Liu, C. H. Kuan, C. S. Yeh, and C. K. Lee, “Beaming light from a subwavelength metal slit surrounded by dielectric surface gratings,” Opt. Express 14, 3503-3511 (2006).
[CrossRef] [PubMed]

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Yeh, J. T.

D. Z. Lin, C. K. Chang, Y. C. Chen, D. L. Yang, M. W. Lin, J. T. Yeh, J. M. Liu, C. H. Kuan, C. S. Yeh, and C. K. Lee, “Beaming light from a subwavelength metal slit surrounded by dielectric surface gratings,” Opt. Express 14, 3503-3511 (2006).
[CrossRef] [PubMed]

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Yu, L. B.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Yu, N.

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, “Quantum cascade lasers with integrated plasmonic antenna-array collimators,” Opt. Express 16, 19447-19461 (2008)
[CrossRef] [PubMed]

Zhang, J.

Zhang, X.

X. Zhang and C. F. Li, “Polarization-independent directional beaming of light by a subwavelength metal slit,” Chinese Phys. Lett. 26, 114204 (2009).
[CrossRef]

Appl. Phys. Lett. (4)

B. Wang and G. P. Wang, “Directional beaming of light from a nanoslit surrounded by metallic heterostructures,” Appl. Phys. Lett. 88, 013114 (2006).
[CrossRef]

S. K. Morrison and Y. S. Kivshar, “Engineering of directional emission from photonic-crystal waveguides,” Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

W. R. Frei, D. A. Tortorelli, and H. T. Johnson, “Topology optimization of a photonic crystal waveguide termination to maximize directional emission,” Appl. Phys. Lett. 86, 111114 (2005).
[CrossRef]

N. Yu, R. Blanchard, J. Fan, F. Capasso, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, and H. Kan, “Small divergence edge-emitting semiconductor lasers with two-dimensional plasmonic collimators”, Appl. Phys. Lett. 93, 181101 (2008).
[CrossRef]

Chinese Phys. Lett. (1)

X. Zhang and C. F. Li, “Polarization-independent directional beaming of light by a subwavelength metal slit,” Chinese Phys. Lett. 26, 114204 (2009).
[CrossRef]

J. Opt. A, Pure Appl. Opt. (1)

F. J. Garcia-Vidal, L. Martin-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7, 97-101 (2005).
[CrossRef]

Nat. Photonics (2)

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2, 175-179 (2008).
[CrossRef]

N. Yu, J. Fan, Q. Wang, C. Pflugl, L. Diehl, T. Edamura, M. i. Yamanishi, H. Kan, and F. Capasso, “Small-divergence semiconductor lasers by plasmonic collimation,” Nat. Photonics 2, 564-570 (2008).
[CrossRef]

Opt. Express (3)

Opt. Lett. (1)

Phys. Rev. (1)

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

Phys. Rev. B (1)

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Phys. Rev. Lett. (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]

Q. Gan, Z. Fu, Y. J. Ding, and F. J. Bartoli, “Ultra-wide band slow light system based on THz plasmonic graded metal grating structures,” Phys. Rev. Lett. 100, 256803 (2008).
[CrossRef] [PubMed]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

Science (2)

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-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. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
[CrossRef] [PubMed]

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Figures (6)

Fig. 1
Fig. 1

(a) Symmetric metal gratings on a silver thin film. w, slit width; p, grating period (center to center); h, grating depth; d, grating width; s, separation distance between the first groove and the center of the slit. (b) Dashed arrows are reradiated light; solid arrows are directly passed light; shadow arrows are surface plasmon waves.

Fig. 2
Fig. 2

Surface plasmons conversion efficiency versus the wavelength of the incident light.

Fig. 3
Fig. 3

(a) The z component of the magnetic field and the intensity of the far field at 580 nm with an 82 nm grating depth. (b) The z component of the magnetic field and the intensity of the far field at 580 nm with a 50 nm grating depth.

Fig. 4
Fig. 4

(a) The z component of the magnetic field and the intensity of the far field at 9.9 μ m with a 1.4 μ m grating depth. (b) The z component of the magnetic field and the intensity of the far field at 9.9 μ m with a 0.85 μ m grating depth.

Fig. 5
Fig. 5

The FWHM angle versus the grating depth at 9.9 μ m (dots) and at 580 nm (squares).

Fig. 6
Fig. 6

The grating period that provides the optimal beaming efficiency versus the grating depth at 9.9 μ m .

Equations (2)

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

k ssp = k 0 d 2 p 2 tan 2 ( k h ) + 1 ,
2 π p = k 0 d 2 p 2 tan 2 ( k h ) + 1 .

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