Abstract

We propose and analyze novel surface-state-based waveguides in bandgap photonic crystals. We discuss the surface-mode band structure, the field localization, and the effect of imperfections on the waveguiding properties of the surface modes. We demonstrate that surface-state-based waveguides can be used to achieve directional emission out of the waveguide. We also discuss the application of the surface-state waveguides as efficient light couplers for conventional photonic crystal waveguides.

© 2006 Optical Society of America

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  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Molding the Flow of Light (Princeton U. Press, 1995).
  2. K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2001).
  3. S. Fan, S. G. Johnson, J. D. Joannopoulos, C. Manolatou, and H. A. Haus, "Waveguide branches in photonic crystals," J. Opt. Soc. Am. B 18, 162-165 (2001).
    [CrossRef]
  4. T. Asano, B.-S. Song, Y. Tanaka, and S. Noda, "Investigation of a channel-add/drop-filtering device using acceptor-type point defects in a two-dimensional photonic-crystal slab," Appl. Phys. Lett. 83, 407-409 (2003).
    [CrossRef]
  5. S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59, 15882-15892 (1999).
    [CrossRef]
  6. S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608 (2002).
    [CrossRef]
  7. M. F. Yanik, S. Fan, M. Soljarcic, and J. D. Joannopoulos, "All-optical transistor action with bistable switching in a photonic crystal cross-waveguide geometry," Opt. Lett. 28, 2506-2508 (2003).
    [CrossRef] [PubMed]
  8. R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1991).
    [CrossRef]
  9. F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane," Phys. Rev. B 59, 15112-15120 (1999).
    [CrossRef]
  10. X. Zhang, L.-M. Li, Z.-Q. Zhang, and C. T. Chan, "Surface states in two-dimensional metallodielectric photonic crystals studied by a multiple-scattering method," Phys. Rev. B 63, 125114 (2001).
    [CrossRef]
  11. J. M. Elson and K. Halterman, "Local density of states analysis of surface wave modes on truncated photonic crystal surfaces with nonlinear material," Opt. Express 12, 4855-4863 (2004).
    [CrossRef] [PubMed]
  12. A. I. Rahachou and I. V. Zozoulenko, "Light propagation in finite and infinite photonic crystals: the recursive Green's function technique," Phys. Rev. B 72, 155117 (2005).
    [CrossRef]
  13. J.-K. Yang, S.-H. Kim, G.-H. Kim, H.-G. Park, Y.-H. Lee, and S.-B. Kim, "Slab-edge modes in two-dimensional photonic crystals," Appl. Phys. Lett. 84, 3016-3018 (2004).
    [CrossRef]
  14. E. Moreno, F. J. García-Vidal, and L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402(R) (2004).
    [CrossRef]
  15. P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
    [CrossRef] [PubMed]
  16. A. Figotin and I. Vitebskiy, "Slow light in photonic crystals," arXiv:physics/0504112.
  17. A. I. Rahachou and I. V. Zozoulenko, "Effects of boundary roughness on a Q factor of whispering-gallery-mode lasing microdisk cavities," J. Appl. Phys. 94, 7929-7931 (2003).
    [CrossRef]
  18. A. I. Rahachou and I. V. Zozoulenko, "Scattering matrix approach to the resonant states and Q values of microdisk lasing cavities," Appl. Opt. 43, 1761-1772 (2004).
    [CrossRef] [PubMed]
  19. P. Sanches, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, "Analysis of butt coupling in photonic crystals," IEEE J. Quantum Electron. 40, 541-550 (2004).
    [CrossRef]
  20. R. Stoffer, H. Hoekstra, R. M. De Ridder, E. V. Groesen, and F. P. H. Van Beckum, "Numerical studies of 2D photonic crystals: waveguides, coupling between waveguides and filters," Opt. Quantum Electron. 32, 947-961 (2000).
    [CrossRef]
  21. A. Mekis and J. D. Joannopoulos, "Tapered couplers for efficient interfacing between dielectric and photonic crystal waveguides," J. Lightwave Technol. 19, 861-865 (2001).
    [CrossRef]
  22. 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]
  23. L. Martin-Moreno, F. J. Garcia-Vidal, J. 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]

2005 (1)

A. I. Rahachou and I. V. Zozoulenko, "Light propagation in finite and infinite photonic crystals: the recursive Green's function technique," Phys. Rev. B 72, 155117 (2005).
[CrossRef]

2004 (6)

J.-K. Yang, S.-H. Kim, G.-H. Kim, H.-G. Park, Y.-H. Lee, and S.-B. Kim, "Slab-edge modes in two-dimensional photonic crystals," Appl. Phys. Lett. 84, 3016-3018 (2004).
[CrossRef]

E. Moreno, F. J. García-Vidal, and L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402(R) (2004).
[CrossRef]

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

P. Sanches, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, "Analysis of butt coupling in photonic crystals," IEEE J. Quantum Electron. 40, 541-550 (2004).
[CrossRef]

A. I. Rahachou and I. V. Zozoulenko, "Scattering matrix approach to the resonant states and Q values of microdisk lasing cavities," Appl. Opt. 43, 1761-1772 (2004).
[CrossRef] [PubMed]

J. M. Elson and K. Halterman, "Local density of states analysis of surface wave modes on truncated photonic crystal surfaces with nonlinear material," Opt. Express 12, 4855-4863 (2004).
[CrossRef] [PubMed]

2003 (4)

L. Martin-Moreno, F. J. Garcia-Vidal, J. 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]

M. F. Yanik, S. Fan, M. Soljarcic, and J. D. Joannopoulos, "All-optical transistor action with bistable switching in a photonic crystal cross-waveguide geometry," Opt. Lett. 28, 2506-2508 (2003).
[CrossRef] [PubMed]

A. I. Rahachou and I. V. Zozoulenko, "Effects of boundary roughness on a Q factor of whispering-gallery-mode lasing microdisk cavities," J. Appl. Phys. 94, 7929-7931 (2003).
[CrossRef]

T. Asano, B.-S. Song, Y. Tanaka, and S. Noda, "Investigation of a channel-add/drop-filtering device using acceptor-type point defects in a two-dimensional photonic-crystal slab," Appl. Phys. Lett. 83, 407-409 (2003).
[CrossRef]

2002 (2)

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608 (2002).
[CrossRef]

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]

2001 (3)

2000 (1)

R. Stoffer, H. Hoekstra, R. M. De Ridder, E. V. Groesen, and F. P. H. Van Beckum, "Numerical studies of 2D photonic crystals: waveguides, coupling between waveguides and filters," Opt. Quantum Electron. 32, 947-961 (2000).
[CrossRef]

1999 (2)

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane," Phys. Rev. B 59, 15112-15120 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

1991 (1)

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1991).
[CrossRef]

Agio, M.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Asano, T.

T. Asano, B.-S. Song, Y. Tanaka, and S. Noda, "Investigation of a channel-add/drop-filtering device using acceptor-type point defects in a two-dimensional photonic-crystal slab," Appl. Phys. Lett. 83, 407-409 (2003).
[CrossRef]

Baets, R.

P. Sanches, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, "Analysis of butt coupling in photonic crystals," IEEE J. Quantum Electron. 40, 541-550 (2004).
[CrossRef]

Bienstman, P.

P. Sanches, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, "Analysis of butt coupling in photonic crystals," IEEE J. Quantum Electron. 40, 541-550 (2004).
[CrossRef]

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608 (2002).
[CrossRef]

Birner, A.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Brommer, K. D.

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1991).
[CrossRef]

Chan, C. T.

X. Zhang, L.-M. Li, Z.-Q. Zhang, and C. T. Chan, "Surface states in two-dimensional metallodielectric photonic crystals studied by a multiple-scattering method," Phys. Rev. B 63, 125114 (2001).
[CrossRef]

De Ridder, R. M.

R. Stoffer, H. Hoekstra, R. M. De Ridder, E. V. Groesen, and F. P. H. Van Beckum, "Numerical studies of 2D photonic crystals: waveguides, coupling between waveguides and filters," Opt. Quantum Electron. 32, 947-961 (2000).
[CrossRef]

Degiron, A.

L. Martin-Moreno, F. J. Garcia-Vidal, J. 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]

Ebbesen, T. W.

L. Martin-Moreno, F. J. Garcia-Vidal, J. 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]

Elson, J. M.

Fan, S.

Figotin, A.

A. Figotin and I. Vitebskiy, "Slow light in photonic crystals," arXiv:physics/0504112.

Garcia-Vidal, F. J.

L. Martin-Moreno, F. J. Garcia-Vidal, J. 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.

E. Moreno, F. J. García-Vidal, and L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402(R) (2004).
[CrossRef]

Gössele, U.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Groesen, E. V.

R. Stoffer, H. Hoekstra, R. M. De Ridder, E. V. Groesen, and F. P. H. Van Beckum, "Numerical studies of 2D photonic crystals: waveguides, coupling between waveguides and filters," Opt. Quantum Electron. 32, 947-961 (2000).
[CrossRef]

Halevi, P.

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane," Phys. Rev. B 59, 15112-15120 (1999).
[CrossRef]

Halterman, K.

Haus, H. A.

Hoekstra, H.

R. Stoffer, H. Hoekstra, R. M. De Ridder, E. V. Groesen, and F. P. H. Van Beckum, "Numerical studies of 2D photonic crystals: waveguides, coupling between waveguides and filters," Opt. Quantum Electron. 32, 947-961 (2000).
[CrossRef]

Ibanescu, M.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608 (2002).
[CrossRef]

Joannopoulos, J. D.

M. F. Yanik, S. Fan, M. Soljarcic, and J. D. Joannopoulos, "All-optical transistor action with bistable switching in a photonic crystal cross-waveguide geometry," Opt. Lett. 28, 2506-2508 (2003).
[CrossRef] [PubMed]

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608 (2002).
[CrossRef]

A. Mekis and J. D. Joannopoulos, "Tapered couplers for efficient interfacing between dielectric and photonic crystal waveguides," J. Lightwave Technol. 19, 861-865 (2001).
[CrossRef]

S. Fan, S. G. Johnson, J. D. Joannopoulos, C. Manolatou, and H. A. Haus, "Waveguide branches in photonic crystals," J. Opt. Soc. Am. B 18, 162-165 (2001).
[CrossRef]

S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1991).
[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Molding the Flow of Light (Princeton U. Press, 1995).

Johnson, S. G.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608 (2002).
[CrossRef]

S. Fan, S. G. Johnson, J. D. Joannopoulos, C. Manolatou, and H. A. Haus, "Waveguide branches in photonic crystals," J. Opt. Soc. Am. B 18, 162-165 (2001).
[CrossRef]

Kim, G.-H.

J.-K. Yang, S.-H. Kim, G.-H. Kim, H.-G. Park, Y.-H. Lee, and S.-B. Kim, "Slab-edge modes in two-dimensional photonic crystals," Appl. Phys. Lett. 84, 3016-3018 (2004).
[CrossRef]

Kim, S.-B.

J.-K. Yang, S.-H. Kim, G.-H. Kim, H.-G. Park, Y.-H. Lee, and S.-B. Kim, "Slab-edge modes in two-dimensional photonic crystals," Appl. Phys. Lett. 84, 3016-3018 (2004).
[CrossRef]

Kim, S.-H.

J.-K. Yang, S.-H. Kim, G.-H. Kim, H.-G. Park, Y.-H. Lee, and S.-B. Kim, "Slab-edge modes in two-dimensional photonic crystals," Appl. Phys. Lett. 84, 3016-3018 (2004).
[CrossRef]

Kramper, P.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Lee, Y.-H.

J.-K. Yang, S.-H. Kim, G.-H. Kim, H.-G. Park, Y.-H. Lee, and S.-B. Kim, "Slab-edge modes in two-dimensional photonic crystals," Appl. Phys. Lett. 84, 3016-3018 (2004).
[CrossRef]

Lezec, H. J.

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]

Lezec, J. J.

L. Martin-Moreno, F. J. Garcia-Vidal, J. 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]

Li, L.-M.

X. Zhang, L.-M. Li, Z.-Q. Zhang, and C. T. Chan, "Surface states in two-dimensional metallodielectric photonic crystals studied by a multiple-scattering method," Phys. Rev. B 63, 125114 (2001).
[CrossRef]

Lidorikis, E.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608 (2002).
[CrossRef]

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]

Luyssaert, B.

P. Sanches, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, "Analysis of butt coupling in photonic crystals," IEEE J. Quantum Electron. 40, 541-550 (2004).
[CrossRef]

Manolatou, C.

Marti, J.

P. Sanches, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, "Analysis of butt coupling in photonic crystals," IEEE J. Quantum Electron. 40, 541-550 (2004).
[CrossRef]

Martin-Moreno, L.

L. Martin-Moreno, F. J. Garcia-Vidal, J. 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.

E. Moreno, F. J. García-Vidal, and L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402(R) (2004).
[CrossRef]

Meade, R. D.

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1991).
[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Molding the Flow of Light (Princeton U. Press, 1995).

Mekis, A.

Moreno, E.

E. Moreno, F. J. García-Vidal, and L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402(R) (2004).
[CrossRef]

Müller, F.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Noda, S.

T. Asano, B.-S. Song, Y. Tanaka, and S. Noda, "Investigation of a channel-add/drop-filtering device using acceptor-type point defects in a two-dimensional photonic-crystal slab," Appl. Phys. Lett. 83, 407-409 (2003).
[CrossRef]

Park, H.-G.

J.-K. Yang, S.-H. Kim, G.-H. Kim, H.-G. Park, Y.-H. Lee, and S.-B. Kim, "Slab-edge modes in two-dimensional photonic crystals," Appl. Phys. Lett. 84, 3016-3018 (2004).
[CrossRef]

Rahachou, A. I.

A. I. Rahachou and I. V. Zozoulenko, "Light propagation in finite and infinite photonic crystals: the recursive Green's function technique," Phys. Rev. B 72, 155117 (2005).
[CrossRef]

A. I. Rahachou and I. V. Zozoulenko, "Scattering matrix approach to the resonant states and Q values of microdisk lasing cavities," Appl. Opt. 43, 1761-1772 (2004).
[CrossRef] [PubMed]

A. I. Rahachou and I. V. Zozoulenko, "Effects of boundary roughness on a Q factor of whispering-gallery-mode lasing microdisk cavities," J. Appl. Phys. 94, 7929-7931 (2003).
[CrossRef]

Ramos-Mendieta, F.

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane," Phys. Rev. B 59, 15112-15120 (1999).
[CrossRef]

Rappe, A. M.

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1991).
[CrossRef]

Sakoda, K.

K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2001).

Sanches, P.

P. Sanches, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, "Analysis of butt coupling in photonic crystals," IEEE J. Quantum Electron. 40, 541-550 (2004).
[CrossRef]

Sandoghdar, V.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Skorobogatiy, M. A.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608 (2002).
[CrossRef]

Soljarcic, M.

Song, B.-S.

T. Asano, B.-S. Song, Y. Tanaka, and S. Noda, "Investigation of a channel-add/drop-filtering device using acceptor-type point defects in a two-dimensional photonic-crystal slab," Appl. Phys. Lett. 83, 407-409 (2003).
[CrossRef]

Soukoulis, C. M.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Stoffer, R.

R. Stoffer, H. Hoekstra, R. M. De Ridder, E. V. Groesen, and F. P. H. Van Beckum, "Numerical studies of 2D photonic crystals: waveguides, coupling between waveguides and filters," Opt. Quantum Electron. 32, 947-961 (2000).
[CrossRef]

Tanaka, Y.

T. Asano, B.-S. Song, Y. Tanaka, and S. Noda, "Investigation of a channel-add/drop-filtering device using acceptor-type point defects in a two-dimensional photonic-crystal slab," Appl. Phys. Lett. 83, 407-409 (2003).
[CrossRef]

Van Beckum, F. P. H.

R. Stoffer, H. Hoekstra, R. M. De Ridder, E. V. Groesen, and F. P. H. Van Beckum, "Numerical studies of 2D photonic crystals: waveguides, coupling between waveguides and filters," Opt. Quantum Electron. 32, 947-961 (2000).
[CrossRef]

Villeneuve, P. R.

S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

Vitebskiy, I.

A. Figotin and I. Vitebskiy, "Slow light in photonic crystals," arXiv:physics/0504112.

Wehrspohn, R. B.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Winn, J. N.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Molding the Flow of Light (Princeton U. Press, 1995).

Yang, J.-K.

J.-K. Yang, S.-H. Kim, G.-H. Kim, H.-G. Park, Y.-H. Lee, and S.-B. Kim, "Slab-edge modes in two-dimensional photonic crystals," Appl. Phys. Lett. 84, 3016-3018 (2004).
[CrossRef]

Yanik, M. F.

Zhang, X.

X. Zhang, L.-M. Li, Z.-Q. Zhang, and C. T. Chan, "Surface states in two-dimensional metallodielectric photonic crystals studied by a multiple-scattering method," Phys. Rev. B 63, 125114 (2001).
[CrossRef]

Zhang, Z.-Q.

X. Zhang, L.-M. Li, Z.-Q. Zhang, and C. T. Chan, "Surface states in two-dimensional metallodielectric photonic crystals studied by a multiple-scattering method," Phys. Rev. B 63, 125114 (2001).
[CrossRef]

Zozoulenko, I. V.

A. I. Rahachou and I. V. Zozoulenko, "Light propagation in finite and infinite photonic crystals: the recursive Green's function technique," Phys. Rev. B 72, 155117 (2005).
[CrossRef]

A. I. Rahachou and I. V. Zozoulenko, "Scattering matrix approach to the resonant states and Q values of microdisk lasing cavities," Appl. Opt. 43, 1761-1772 (2004).
[CrossRef] [PubMed]

A. I. Rahachou and I. V. Zozoulenko, "Effects of boundary roughness on a Q factor of whispering-gallery-mode lasing microdisk cavities," J. Appl. Phys. 94, 7929-7931 (2003).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

J.-K. Yang, S.-H. Kim, G.-H. Kim, H.-G. Park, Y.-H. Lee, and S.-B. Kim, "Slab-edge modes in two-dimensional photonic crystals," Appl. Phys. Lett. 84, 3016-3018 (2004).
[CrossRef]

T. Asano, B.-S. Song, Y. Tanaka, and S. Noda, "Investigation of a channel-add/drop-filtering device using acceptor-type point defects in a two-dimensional photonic-crystal slab," Appl. Phys. Lett. 83, 407-409 (2003).
[CrossRef]

IEEE J. Quantum Electron. (1)

P. Sanches, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, "Analysis of butt coupling in photonic crystals," IEEE J. Quantum Electron. 40, 541-550 (2004).
[CrossRef]

J. Appl. Phys. (1)

A. I. Rahachou and I. V. Zozoulenko, "Effects of boundary roughness on a Q factor of whispering-gallery-mode lasing microdisk cavities," J. Appl. Phys. 94, 7929-7931 (2003).
[CrossRef]

J. Lightwave Technol. (1)

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

Opt. Express (1)

Opt. Lett. (1)

Opt. Quantum Electron. (1)

R. Stoffer, H. Hoekstra, R. M. De Ridder, E. V. Groesen, and F. P. H. Van Beckum, "Numerical studies of 2D photonic crystals: waveguides, coupling between waveguides and filters," Opt. Quantum Electron. 32, 947-961 (2000).
[CrossRef]

Phys. Rev. B (6)

S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

E. Moreno, F. J. García-Vidal, and L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402(R) (2004).
[CrossRef]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1991).
[CrossRef]

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane," Phys. Rev. B 59, 15112-15120 (1999).
[CrossRef]

X. Zhang, L.-M. Li, Z.-Q. Zhang, and C. T. Chan, "Surface states in two-dimensional metallodielectric photonic crystals studied by a multiple-scattering method," Phys. Rev. B 63, 125114 (2001).
[CrossRef]

A. I. Rahachou and I. V. Zozoulenko, "Light propagation in finite and infinite photonic crystals: the recursive Green's function technique," Phys. Rev. B 72, 155117 (2005).
[CrossRef]

Phys. Rev. E (1)

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608 (2002).
[CrossRef]

Phys. Rev. Lett. (2)

L. Martin-Moreno, F. J. Garcia-Vidal, J. 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]

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gössele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Science (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]

Other (3)

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Molding the Flow of Light (Princeton U. Press, 1995).

K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2001).

A. Figotin and I. Vitebskiy, "Slow light in photonic crystals," arXiv:physics/0504112.

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Figures (6)

Fig. 1
Fig. 1

Band structures for TM modes in the Γ X direction of square-lattice PCs composed of rod diameters D = 0.4 a and permittivity ε = 8.9 along with the projected surface modes. The diameters of the surface rods are (a) d = 0.2 a and (b) d = 0.68 a . The thick black line denotes the light line. The lower panels show the normalized intensity of the E z component in different points of surface-mode dispersion curves.

Fig. 2
Fig. 2

Fragments of the band structures for TM modes in the Γ X direction of infinite square-lattice test PCs composed of rods with ε = 8.9 and diameters (a) d = 0.2 a , (b) d = 0.68 a along with the projected surface modes of the semi-infinite PC of Fig. 1. Field distributions ( E z components) for the corresponding bands are given in the insets.

Fig. 3
Fig. 3

Discretization details of the (a) semi-infinite periodic waveguides and (b) the central region. The upper panel shows the structure under study, where the shaded regions denote ideal semi-infinite waveguides, and the central region of the width of 5 a represents an imperfect PC where scattering of the Bloch surface states takes place.

Fig. 4
Fig. 4

(a) Velocity of different surface modes from Fig. 1. (b) Transmission coefficient for surface modes propagating in a nonideal surface-mode waveguide.

Fig. 5
Fig. 5

A lead-in coupler structure composed of a surface-state waveguide on the left and a conventional tapered PC waveguide on the right. The size of the surface rods gradually decreases to zero in the central region where the surface-state waveguide transforms into a conventional PC waveguide. The intensity distribution is shown for the E z component of the electromagnetic field at ω a 2 π c 0.365 . Arrows depict the flow of the Poynting vector. The transmission coefficient subject to the energy of incoming light is given in the inset. Parameters of the PC correspond to the structure in Fig. 1a.

Fig. 6
Fig. 6

(a) Intensity distribution for the E z component of the electromagnetic field in the surface-mode waveguide terminated to air for ω a 2 π c = 0.34 . (b) Far-field radial component of the Poynting vector S r ( θ ) radiated out of a surface-mode waveguide as a function of azimuthal angle θ for different ω a 2 π . The inset shows the transmission coefficient for the surface state as a function of the frequency. Parameters of the waveguide correspond to the structure in Fig. 1a.

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