Abstract

We investigate slow light properties of optical surface modes sustaining at the interface of two-dimensional photonic crystals and uniform medium (air). The manipulation of the structural parameters at the surface governs the modal field distribution of the surface state. The spectral and temporal behaviors of the slow mode are numerically explored by utilizing both plane-wave expansion and finite-difference time-domain methods. We show that the group index and bandwidth can be tuned within a wide range. The distortion free optical pulse propagation is supported by the presence of low group velocity dispersion behavior of the slow light surface mode photonic structure.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. Baba, “Slow light in photonic crystals,” Nat. Photon. 2, 465–473 (2008).
    [CrossRef]
  2. T. F. Krauss, “Why do we need slow light,” Nat. Photon. 2, 448–450 (2008).
    [CrossRef]
  3. J. D. Joannopoulas, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of the Light (Princeton University, 1995).
  4. Y. Hamachi, S. Kubo, and T. Baba, “Slow light with low dispersion and nonlinear enhancement in a lattice-shifted photonic crystal waveguide,” Opt. Lett. 34, 1072–1074 (2009).
    [CrossRef]
  5. O. Khayam and H. Benisty, “General recipe for flatbands in photonic crystal waveguides,” Opt. Express 17, 14634–14648 (2009).
    [CrossRef]
  6. L. Dai and C. Jiang, “Ultrawideband low dispersion slow light waveguides,” J. Lightwave Technol. 27, 2862–2868 (2009).
    [CrossRef]
  7. J. Ma and C. Jiang, “Demonstration of ultraslow modes in asymmetric line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 20, 1237–1239 (2008).
    [CrossRef]
  8. J. Hou, H. Wu, D. S. Citrin, W. Mo, D. Gao, and Z. Zhou, “Wideband slow light in chirped slot photonic-crystal coupled waveguides,” Opt. Express 18, 10567–10580 (2010).
    [CrossRef]
  9. A. Y. Petrov and M. Eich, “Zero dispersion at small group velocities in photonic crystal waveguides,” Appl. Phys. Lett. 85, 4866–4868 (2004).
    [CrossRef]
  10. D. Mori and T. Baba, “Dispersion-controlled optical group delay device by chirped photonic crystal waveguides,” Appl. Phys. Lett. 85, 1101–1103 (2004).
    [CrossRef]
  11. M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, “Slow-light band-edge waveguides for tunable time delays,” Opt. Express 13, 7145–7159 (2005).
    [CrossRef]
  12. L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express 14, 9444–9450 (2006).
    [CrossRef]
  13. J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16, 6227–6232 (2008).
    [CrossRef]
  14. S. Rawal, R. K. Sinha, and R. M. De La Rue, “Slow light miniature devices with ultra-flattened dispersion in silicon-on-insulator photonic crystal,” Opt. Express 17, 13315–13325 (2009).
    [CrossRef]
  15. M. Ebnali-Heidari, C. Grillet, C. Monat, and B. J. Eggleton, “Dispersion engineering of slow light photonic crystal waveguides using microfluidic infiltration,” Opt. Express 17, 1628–1635 (2009).
    [CrossRef]
  16. A. Saynatjoki, M. Mulot, J. Ahopelto, and H. Lipsanen, “Dispersion engineering of photonic crystal waveguides with ring-shaped holes,” Opt. Express 15, 8323–8328 (2007).
    [CrossRef]
  17. J. Liang, L-Y. Ren, M-J. Yun, X. Han, and X-J. Wang, “Wideband ultraflat slow light with large group index in a W1 photonic crystal waveguide,” J. Appl. Phys. 110, 063103 (2011).
    [CrossRef]
  18. D. Wang, J. Zhang, L. Yuan, J. Lei, S. Chen, J. Han, and S. Hou, “Slow light engineering in polyatomic photonic crystal waveguides based on square lattice,” Opt. Commun. 284, 5829–5832 (2011).
    [CrossRef]
  19. L. Dai, T. Li, and C. Jiang, “Wideband ultralow high-order-dispersion photonic crystal slow-light waveguide,” J. Opt. Soc. Am. B 28, 1622–1626 (2011).
    [CrossRef]
  20. T. Baba, T. Kawasaki, H. Sasaki, J. Adachi, and D. Mori, “Large delay-bandwidth product and tuning of slow light pulse in photonic crystal coupled waveguide,” Opt. Express 16, 9245–9253 (2008).
    [CrossRef]
  21. R. Matzen, J. S. Jensen, and O. Sigmund, “Systematic design of slow-light photonic waveguides,” J. Opt. Soc. Am. B 28, 2374–2382 (2011).
    [CrossRef]
  22. M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 87, 253902 (2001).
    [CrossRef]
  23. J. Scheuer, G. T. Paloczi, J. K. S. Poon, and A. Yariv, “Coupled resonator optical waveguides: toward the slowing and storage of light,” Opt. Photon. News 16, 36–40 (2005).
    [CrossRef]
  24. J. B. Khurgin, “Expanding the bandwidth of slow-light photonic devices based on coupled resonators,” Opt. Lett. 30, 513–515 (2005).
    [CrossRef]
  25. M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, D. K. Gifford, and S. Mookherjea, “Waveguide dispersion effects in silicon-on-insulator coupled-resonator optical waveguides,” Opt. Lett. 35, 3030–3032 (2010).
    [CrossRef]
  26. D. O’Brien, M. D. Settle, T. Karle, A. Michaeli, M. Salib, and T. F. Krauss, “Coupled photonic crystal heterostructure nanocavities,” Opt. Express 15, 1228–1233 (2007).
    [CrossRef]
  27. K. Üstün and H. Kurt, “Ultra slow light achievement in photonic crystals by merging coupled cavities with waveguides,” Opt. Express 18, 21155–21161 (2010).
    [CrossRef]
  28. 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]
  29. 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]
  30. S. Enoch, E. Popov, and N. Bonod, “Analysis of the physical origin of surface modes on finite-size photonic crystals,” Phys. Rev. B 72, 155101 (2005).
    [CrossRef]
  31. A. I. Rahachou and I. V. Zozoulenko, “Waveguiding properties of surface states in photonic crystals,” J. Opt. Soc. Am. B 23, 1679–1683 (2006).
    [CrossRef]
  32. H. Chen, K. K. Tsia, and A. W. Poon, “Surface modes in two-dimensional photonic crystal slabs with a flat dielectric margin,” Opt. Express 14, 7368–7377 (2006).
    [CrossRef]
  33. M. Che and Z-Y. Li, “Analysis of surface modes in photonic crystals by a plane-wave transfer-matrix method,” J. Opt. Soc. Am. A 25, 2177–2184 (2008).
    [CrossRef]
  34. T-W. Lu, S-P. Lu, L-H. Chiu, and P-T. Lee, “Square lattice photonic crystal surface mode lasers,” Opt. Express 18, 26461–26468 (2010).
    [CrossRef]
  35. S. Xiao, and M. Qiu, “Optical microcavities based on surface modes in two-dimensional photonic crystals and silicon-on-insulator photonic crystals,” J. Opt. Soc. Am. B 24, 1225–1229 (2007).
    [CrossRef]
  36. T. Lu, Y. Hsiao, W. Ho, and P-T. Lee, “High-index sensitivity of surface mode in photonic crystal hetero-slab-edge microcavity,” Opt. Lett. 35, 1452–1454 (2010).
    [CrossRef]
  37. S. Johnson and J. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8, 173–190 (2001).
    [CrossRef]
  38. H. Kurt, K. Üstün, and L. Ayas, “Study of different spectral regions and delay bandwidth relation in slow light photonic crystal waveguides,” Opt. Express 18, 26965–26977 (2010).
    [CrossRef]
  39. A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181, 687–702(2010).
    [CrossRef]
  40. C. Monat, M. de Sterke, and B. J. Eggleton, “Slow light enhanced nonlinear optics in periodic structures,” J. Opt. 12, 104003 (2010).
    [CrossRef]
  41. C. Monat, M. Ebnali-Heidari, C. Grillet, B. Corcoran, B. J. Eggleton, T. P. White, L. O’Faolain, J. Li, and T. F. Krauss, “Four-wave mixing in slow light engineered silicon photonic crystal waveguides,” Opt. Express 18, 22915–22927 (2010).
    [CrossRef]

2011 (4)

J. Liang, L-Y. Ren, M-J. Yun, X. Han, and X-J. Wang, “Wideband ultraflat slow light with large group index in a W1 photonic crystal waveguide,” J. Appl. Phys. 110, 063103 (2011).
[CrossRef]

D. Wang, J. Zhang, L. Yuan, J. Lei, S. Chen, J. Han, and S. Hou, “Slow light engineering in polyatomic photonic crystal waveguides based on square lattice,” Opt. Commun. 284, 5829–5832 (2011).
[CrossRef]

L. Dai, T. Li, and C. Jiang, “Wideband ultralow high-order-dispersion photonic crystal slow-light waveguide,” J. Opt. Soc. Am. B 28, 1622–1626 (2011).
[CrossRef]

R. Matzen, J. S. Jensen, and O. Sigmund, “Systematic design of slow-light photonic waveguides,” J. Opt. Soc. Am. B 28, 2374–2382 (2011).
[CrossRef]

2010 (9)

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, D. K. Gifford, and S. Mookherjea, “Waveguide dispersion effects in silicon-on-insulator coupled-resonator optical waveguides,” Opt. Lett. 35, 3030–3032 (2010).
[CrossRef]

K. Üstün and H. Kurt, “Ultra slow light achievement in photonic crystals by merging coupled cavities with waveguides,” Opt. Express 18, 21155–21161 (2010).
[CrossRef]

T-W. Lu, S-P. Lu, L-H. Chiu, and P-T. Lee, “Square lattice photonic crystal surface mode lasers,” Opt. Express 18, 26461–26468 (2010).
[CrossRef]

J. Hou, H. Wu, D. S. Citrin, W. Mo, D. Gao, and Z. Zhou, “Wideband slow light in chirped slot photonic-crystal coupled waveguides,” Opt. Express 18, 10567–10580 (2010).
[CrossRef]

H. Kurt, K. Üstün, and L. Ayas, “Study of different spectral regions and delay bandwidth relation in slow light photonic crystal waveguides,” Opt. Express 18, 26965–26977 (2010).
[CrossRef]

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181, 687–702(2010).
[CrossRef]

C. Monat, M. de Sterke, and B. J. Eggleton, “Slow light enhanced nonlinear optics in periodic structures,” J. Opt. 12, 104003 (2010).
[CrossRef]

C. Monat, M. Ebnali-Heidari, C. Grillet, B. Corcoran, B. J. Eggleton, T. P. White, L. O’Faolain, J. Li, and T. F. Krauss, “Four-wave mixing in slow light engineered silicon photonic crystal waveguides,” Opt. Express 18, 22915–22927 (2010).
[CrossRef]

T. Lu, Y. Hsiao, W. Ho, and P-T. Lee, “High-index sensitivity of surface mode in photonic crystal hetero-slab-edge microcavity,” Opt. Lett. 35, 1452–1454 (2010).
[CrossRef]

2009 (5)

2008 (6)

2007 (3)

2006 (3)

2005 (4)

S. Enoch, E. Popov, and N. Bonod, “Analysis of the physical origin of surface modes on finite-size photonic crystals,” Phys. Rev. B 72, 155101 (2005).
[CrossRef]

J. Scheuer, G. T. Paloczi, J. K. S. Poon, and A. Yariv, “Coupled resonator optical waveguides: toward the slowing and storage of light,” Opt. Photon. News 16, 36–40 (2005).
[CrossRef]

J. B. Khurgin, “Expanding the bandwidth of slow-light photonic devices based on coupled resonators,” Opt. Lett. 30, 513–515 (2005).
[CrossRef]

M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, “Slow-light band-edge waveguides for tunable time delays,” Opt. Express 13, 7145–7159 (2005).
[CrossRef]

2004 (2)

A. Y. Petrov and M. Eich, “Zero dispersion at small group velocities in photonic crystal waveguides,” Appl. Phys. Lett. 85, 4866–4868 (2004).
[CrossRef]

D. Mori and T. Baba, “Dispersion-controlled optical group delay device by chirped photonic crystal waveguides,” Appl. Phys. Lett. 85, 1101–1103 (2004).
[CrossRef]

2001 (2)

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef]

S. Johnson and J. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8, 173–190 (2001).
[CrossRef]

1999 (1)

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]

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]

Adachi, J.

Ahopelto, J.

Assefa, S.

Ayas, L.

Baba, T.

Benisty, H.

Bermel, P.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181, 687–702(2010).
[CrossRef]

Bonod, N.

S. Enoch, E. Popov, and N. Bonod, “Analysis of the physical origin of surface modes on finite-size photonic crystals,” Phys. Rev. B 72, 155101 (2005).
[CrossRef]

Borel, P. I.

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]

Che, M.

Chen, H.

Chen, S.

D. Wang, J. Zhang, L. Yuan, J. Lei, S. Chen, J. Han, and S. Hou, “Slow light engineering in polyatomic photonic crystal waveguides based on square lattice,” Opt. Commun. 284, 5829–5832 (2011).
[CrossRef]

Chiu, L-H.

Citrin, D. S.

Cooper, M. L.

Corcoran, B.

Dai, L.

De La Rue, R. M.

de Sterke, M.

C. Monat, M. de Sterke, and B. J. Eggleton, “Slow light enhanced nonlinear optics in periodic structures,” J. Opt. 12, 104003 (2010).
[CrossRef]

Ebnali-Heidari, M.

Eggleton, B. J.

Eich, M.

A. Y. Petrov and M. Eich, “Zero dispersion at small group velocities in photonic crystal waveguides,” Appl. Phys. Lett. 85, 4866–4868 (2004).
[CrossRef]

Enoch, S.

S. Enoch, E. Popov, and N. Bonod, “Analysis of the physical origin of surface modes on finite-size photonic crystals,” Phys. Rev. B 72, 155101 (2005).
[CrossRef]

Fage-Pedersen, J.

Frandsen, L. H.

Gao, D.

Gifford, D. K.

Gomez-Iglesias, A.

Green, W. M. J.

Grillet, C.

Gupta, G.

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]

Hamachi, Y.

Han, J.

D. Wang, J. Zhang, L. Yuan, J. Lei, S. Chen, J. Han, and S. Hou, “Slow light engineering in polyatomic photonic crystal waveguides based on square lattice,” Opt. Commun. 284, 5829–5832 (2011).
[CrossRef]

Han, X.

J. Liang, L-Y. Ren, M-J. Yun, X. Han, and X-J. Wang, “Wideband ultraflat slow light with large group index in a W1 photonic crystal waveguide,” J. Appl. Phys. 110, 063103 (2011).
[CrossRef]

Ho, W.

Hou, J.

Hou, S.

D. Wang, J. Zhang, L. Yuan, J. Lei, S. Chen, J. Han, and S. Hou, “Slow light engineering in polyatomic photonic crystal waveguides based on square lattice,” Opt. Commun. 284, 5829–5832 (2011).
[CrossRef]

Hsiao, Y.

Ibanescu, M.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181, 687–702(2010).
[CrossRef]

Jensen, J. S.

Jiang, C.

Joannopoulas, J. D.

J. D. Joannopoulas, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of the Light (Princeton University, 1995).

Joannopoulos, J.

Joannopoulos, J. D.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181, 687–702(2010).
[CrossRef]

M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, “Slow-light band-edge waveguides for tunable time delays,” Opt. Express 13, 7145–7159 (2005).
[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]

Johnson, S.

Johnson, S. G.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181, 687–702(2010).
[CrossRef]

M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, “Slow-light band-edge waveguides for tunable time delays,” Opt. Express 13, 7145–7159 (2005).
[CrossRef]

Karle, T.

Kawasaki, T.

Khayam, O.

Khurgin, J. B.

Krauss, T. F.

Kubo, S.

Kurt, H.

Lavrinenko, A. V.

Lee, P-T.

Lei, J.

D. Wang, J. Zhang, L. Yuan, J. Lei, S. Chen, J. Han, and S. Hou, “Slow light engineering in polyatomic photonic crystal waveguides based on square lattice,” Opt. Commun. 284, 5829–5832 (2011).
[CrossRef]

Li, J.

Li, T.

Li, Z-Y.

Liang, J.

J. Liang, L-Y. Ren, M-J. Yun, X. Han, and X-J. Wang, “Wideband ultraflat slow light with large group index in a W1 photonic crystal waveguide,” J. Appl. Phys. 110, 063103 (2011).
[CrossRef]

Lipsanen, H.

Lu, S-P.

Lu, T.

Lu, T-W.

Ma, J.

J. Ma and C. Jiang, “Demonstration of ultraslow modes in asymmetric line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 20, 1237–1239 (2008).
[CrossRef]

Matzen, R.

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. Joannopoulas, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of the Light (Princeton University, 1995).

Michaeli, A.

Mo, W.

Monat, C.

Mookherjea, S.

Mori, D.

T. Baba, T. Kawasaki, H. Sasaki, J. Adachi, and D. Mori, “Large delay-bandwidth product and tuning of slow light pulse in photonic crystal coupled waveguide,” Opt. Express 16, 9245–9253 (2008).
[CrossRef]

D. Mori and T. Baba, “Dispersion-controlled optical group delay device by chirped photonic crystal waveguides,” Appl. Phys. Lett. 85, 1101–1103 (2004).
[CrossRef]

Mulot, M.

Notomi, M.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef]

O’Brien, D.

O’Faolain, L.

Oskooi, A. F.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181, 687–702(2010).
[CrossRef]

Paloczi, G. T.

J. Scheuer, G. T. Paloczi, J. K. S. Poon, and A. Yariv, “Coupled resonator optical waveguides: toward the slowing and storage of light,” Opt. Photon. News 16, 36–40 (2005).
[CrossRef]

Petrov, A. Y.

A. Y. Petrov and M. Eich, “Zero dispersion at small group velocities in photonic crystal waveguides,” Appl. Phys. Lett. 85, 4866–4868 (2004).
[CrossRef]

Poon, A. W.

Poon, J. K. S.

J. Scheuer, G. T. Paloczi, J. K. S. Poon, and A. Yariv, “Coupled resonator optical waveguides: toward the slowing and storage of light,” Opt. Photon. News 16, 36–40 (2005).
[CrossRef]

Popov, E.

S. Enoch, E. Popov, and N. Bonod, “Analysis of the physical origin of surface modes on finite-size photonic crystals,” Phys. Rev. B 72, 155101 (2005).
[CrossRef]

Povinelli, M. L.

Qiu, M.

Rahachou, A. I.

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]

Rawal, S.

Ren, L-Y.

J. Liang, L-Y. Ren, M-J. Yun, X. Han, and X-J. Wang, “Wideband ultraflat slow light with large group index in a W1 photonic crystal waveguide,” J. Appl. Phys. 110, 063103 (2011).
[CrossRef]

Roundy, D.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181, 687–702(2010).
[CrossRef]

Salib, M.

Sasaki, H.

Saynatjoki, A.

Scheuer, J.

J. Scheuer, G. T. Paloczi, J. K. S. Poon, and A. Yariv, “Coupled resonator optical waveguides: toward the slowing and storage of light,” Opt. Photon. News 16, 36–40 (2005).
[CrossRef]

Schneider, M. A.

Settle, M. D.

Shinya, A.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef]

Sigmund, O.

Sinha, R. K.

Takahashi, C.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef]

Takahashi, J.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef]

Tsia, K. K.

Üstün, K.

Wang, D.

D. Wang, J. Zhang, L. Yuan, J. Lei, S. Chen, J. Han, and S. Hou, “Slow light engineering in polyatomic photonic crystal waveguides based on square lattice,” Opt. Commun. 284, 5829–5832 (2011).
[CrossRef]

Wang, X-J.

J. Liang, L-Y. Ren, M-J. Yun, X. Han, and X-J. Wang, “Wideband ultraflat slow light with large group index in a W1 photonic crystal waveguide,” J. Appl. Phys. 110, 063103 (2011).
[CrossRef]

White, T. P.

Winn, J. N.

J. D. Joannopoulas, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of the Light (Princeton University, 1995).

Wu, H.

Xia, F.

Xiao, S.

Yamada, K.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef]

Yariv, A.

J. Scheuer, G. T. Paloczi, J. K. S. Poon, and A. Yariv, “Coupled resonator optical waveguides: toward the slowing and storage of light,” Opt. Photon. News 16, 36–40 (2005).
[CrossRef]

Yokohama, I.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef]

Yuan, L.

D. Wang, J. Zhang, L. Yuan, J. Lei, S. Chen, J. Han, and S. Hou, “Slow light engineering in polyatomic photonic crystal waveguides based on square lattice,” Opt. Commun. 284, 5829–5832 (2011).
[CrossRef]

Yun, M-J.

J. Liang, L-Y. Ren, M-J. Yun, X. Han, and X-J. Wang, “Wideband ultraflat slow light with large group index in a W1 photonic crystal waveguide,” J. Appl. Phys. 110, 063103 (2011).
[CrossRef]

Zhang, J.

D. Wang, J. Zhang, L. Yuan, J. Lei, S. Chen, J. Han, and S. Hou, “Slow light engineering in polyatomic photonic crystal waveguides based on square lattice,” Opt. Commun. 284, 5829–5832 (2011).
[CrossRef]

Zhou, Z.

Zozoulenko, I. V.

Appl. Phys. Lett. (2)

A. Y. Petrov and M. Eich, “Zero dispersion at small group velocities in photonic crystal waveguides,” Appl. Phys. Lett. 85, 4866–4868 (2004).
[CrossRef]

D. Mori and T. Baba, “Dispersion-controlled optical group delay device by chirped photonic crystal waveguides,” Appl. Phys. Lett. 85, 1101–1103 (2004).
[CrossRef]

Comput. Phys. Commun. (1)

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181, 687–702(2010).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

J. Ma and C. Jiang, “Demonstration of ultraslow modes in asymmetric line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 20, 1237–1239 (2008).
[CrossRef]

J. Appl. Phys. (1)

J. Liang, L-Y. Ren, M-J. Yun, X. Han, and X-J. Wang, “Wideband ultraflat slow light with large group index in a W1 photonic crystal waveguide,” J. Appl. Phys. 110, 063103 (2011).
[CrossRef]

J. Lightwave Technol. (1)

J. Opt. (1)

C. Monat, M. de Sterke, and B. J. Eggleton, “Slow light enhanced nonlinear optics in periodic structures,” J. Opt. 12, 104003 (2010).
[CrossRef]

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

J. Opt. Soc. Am. B (4)

Nat. Photon. (2)

T. Baba, “Slow light in photonic crystals,” Nat. Photon. 2, 465–473 (2008).
[CrossRef]

T. F. Krauss, “Why do we need slow light,” Nat. Photon. 2, 448–450 (2008).
[CrossRef]

Opt. Commun. (1)

D. Wang, J. Zhang, L. Yuan, J. Lei, S. Chen, J. Han, and S. Hou, “Slow light engineering in polyatomic photonic crystal waveguides based on square lattice,” Opt. Commun. 284, 5829–5832 (2011).
[CrossRef]

Opt. Express (16)

J. Hou, H. Wu, D. S. Citrin, W. Mo, D. Gao, and Z. Zhou, “Wideband slow light in chirped slot photonic-crystal coupled waveguides,” Opt. Express 18, 10567–10580 (2010).
[CrossRef]

O. Khayam and H. Benisty, “General recipe for flatbands in photonic crystal waveguides,” Opt. Express 17, 14634–14648 (2009).
[CrossRef]

M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, “Slow-light band-edge waveguides for tunable time delays,” Opt. Express 13, 7145–7159 (2005).
[CrossRef]

L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express 14, 9444–9450 (2006).
[CrossRef]

J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16, 6227–6232 (2008).
[CrossRef]

S. Rawal, R. K. Sinha, and R. M. De La Rue, “Slow light miniature devices with ultra-flattened dispersion in silicon-on-insulator photonic crystal,” Opt. Express 17, 13315–13325 (2009).
[CrossRef]

M. Ebnali-Heidari, C. Grillet, C. Monat, and B. J. Eggleton, “Dispersion engineering of slow light photonic crystal waveguides using microfluidic infiltration,” Opt. Express 17, 1628–1635 (2009).
[CrossRef]

A. Saynatjoki, M. Mulot, J. Ahopelto, and H. Lipsanen, “Dispersion engineering of photonic crystal waveguides with ring-shaped holes,” Opt. Express 15, 8323–8328 (2007).
[CrossRef]

T. Baba, T. Kawasaki, H. Sasaki, J. Adachi, and D. Mori, “Large delay-bandwidth product and tuning of slow light pulse in photonic crystal coupled waveguide,” Opt. Express 16, 9245–9253 (2008).
[CrossRef]

H. Chen, K. K. Tsia, and A. W. Poon, “Surface modes in two-dimensional photonic crystal slabs with a flat dielectric margin,” Opt. Express 14, 7368–7377 (2006).
[CrossRef]

T-W. Lu, S-P. Lu, L-H. Chiu, and P-T. Lee, “Square lattice photonic crystal surface mode lasers,” Opt. Express 18, 26461–26468 (2010).
[CrossRef]

D. O’Brien, M. D. Settle, T. Karle, A. Michaeli, M. Salib, and T. F. Krauss, “Coupled photonic crystal heterostructure nanocavities,” Opt. Express 15, 1228–1233 (2007).
[CrossRef]

K. Üstün and H. Kurt, “Ultra slow light achievement in photonic crystals by merging coupled cavities with waveguides,” Opt. Express 18, 21155–21161 (2010).
[CrossRef]

S. Johnson and J. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8, 173–190 (2001).
[CrossRef]

H. Kurt, K. Üstün, and L. Ayas, “Study of different spectral regions and delay bandwidth relation in slow light photonic crystal waveguides,” Opt. Express 18, 26965–26977 (2010).
[CrossRef]

C. Monat, M. Ebnali-Heidari, C. Grillet, B. Corcoran, B. J. Eggleton, T. P. White, L. O’Faolain, J. Li, and T. F. Krauss, “Four-wave mixing in slow light engineered silicon photonic crystal waveguides,” Opt. Express 18, 22915–22927 (2010).
[CrossRef]

Opt. Lett. (4)

Opt. Photon. News (1)

J. Scheuer, G. T. Paloczi, J. K. S. Poon, and A. Yariv, “Coupled resonator optical waveguides: toward the slowing and storage of light,” Opt. Photon. News 16, 36–40 (2005).
[CrossRef]

Phys. Rev. B (3)

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]

S. Enoch, E. Popov, and N. Bonod, “Analysis of the physical origin of surface modes on finite-size photonic crystals,” Phys. Rev. B 72, 155101 (2005).
[CrossRef]

Phys. Rev. Lett. (1)

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef]

Other (1)

J. D. Joannopoulas, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of the Light (Princeton University, 1995).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (10)

Fig. 1.
Fig. 1.

Schematic representation of the proposed slow light structure based on a surface defect PC that consists of air holes in dielectric background. The diameter of the holes is d1=0.60a, and the lattice constant is fixed at a=380nm. The diameter of the holes placed near the air-PC interface is d2=0.56a.

Fig. 2.
Fig. 2.

(a) The dispersion curves of the surface modes are collected in the band structure diagram when the values of diameters of the holes on the surface are varied between 0.54a and 0.72a with steps of 0.02a. The lines shown in the figure represent surface modes. When the diameter of the hole is increased, the surface mode shifts towards higher frequencies. (b) The enlarged view of the dispersion curves of the optical surface modes. The supercell used inPWE method is shown in between (a) and (b).

Fig. 3.
Fig. 3.

Group index distributions of the optical surface modes. When the values of the diameters of the holes on the surface are increased, ng values also increase. The green arrow at the top of the figure shows the direction that the d2 parameter increases.

Fig. 4.
Fig. 4.

(a) Constant group index variation versus d2. (b) Bandwidth dependency on d2 values.

Fig. 5.
Fig. 5.

Group index and bandwidth product (FOM) versus diameters of the holes on the surface.

Fig. 6.
Fig. 6.

The GVD graphs for the two selected cases. (a) d2=0.56a and (b) d2=0.66a.

Fig. 7.
Fig. 7.

The TOD graphs for the two selected cases. (a) d2=0.56a and (b) d2=0.66a.

Fig. 8.
Fig. 8.

Time delay information versus propagation distance for two different ng values is presented. The group index turns out to be 20.03 for the case of d2=0.66a. In the case of d2=0.56a, group index becomes 9.93.

Fig. 9.
Fig. 9.

(a) and (b) correspond to the temporal presentations of the optical pulses at two different detection points for d2=0.56a. Similarly, (c) and (d) are the time-domain presentations for d2=0.66a.

Fig. 10.
Fig. 10.

(a) H-field distribution of the structure is shown for the value of the defect diameter of the holes d2=0.56a. This plot is created using the PWE method. (b) The time snapshot of the light propagation through the surface of PC after the slow surface mode is injected. The presentations of the h-field evolutions for d2=0.66a obtained by frequency and time-domain calculations in (c) and (d), respectively. The red and blue colors show positive and negative magnetic fields, respectively.

Metrics