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)

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, 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]

2006 (2)

2005 (6)

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]

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]

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]

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

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]

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, 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]

Bulu, I.

Caglayan, H.

Capasso, F.

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]

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]

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, 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]

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]

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, 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]

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, 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]

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, 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]

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, 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]

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, 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]

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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