Abstract

We demonstrate a concept for tailoring the group velocity and dispersion properties for light propagating in a planar photonic crystal waveguide. By perturbing the holes adjacent to the waveguide core it is possible to increase the useful bandwidth below the light-line and obtain a photonic crystal waveguide with either vanishing, positive, or negative group velocity dispersion and semi-slow light. We realize experimentally a silicon-on-insulator photonic crystal waveguide having nearly constant group velocity ~c 0/34 in an 11-nm bandwidth below the silica-line.

© 2006 Optical Society of America

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  1. S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Linear waveguides in photonic crystal slabs," Phys. Rev. B 62, 8212-8222 (2000).
    [CrossRef]
  2. M. Soljacic, S. G. Johnson, S. Fan, M. Ibanesku, E. Ippen, and J. D. Joannopoulos, "Photonic-crystal slow-light enhancement of nonlinear phase sensitivity," J. Opt. Soc. Am. B 19, 2052-2059 (2002).
    [CrossRef]
  3. R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
    [CrossRef] [PubMed]
  4. 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] [PubMed]
  5. H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
    [CrossRef] [PubMed]
  6. G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, "Optical delay lines based on Optical Filters," IEEE J. Quantum Electron. 37, 525-532 (2001).
    [CrossRef]
  7. Y. A. Vlasov and S. J. McNab, "Coupling into the slow light mode in slab-type photonic crystal waveguides," Opt. Lett. 31, 50-52 (2006).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  9. S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in Photonic Crystal Waveguides: Role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 033903 (2005).
    [CrossRef] [PubMed]
  10. R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, "The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides," Opt. Express 14, 1658-1672 (2006).
    [CrossRef] [PubMed]
  11. K. Yamada, H. Morita, A. Shinya, and M. Notomi, "Improved line-defect structures for photonic-crystal waveguides with high velocity," Opt. Commun. 198, 395-402 (2001).
    [CrossRef]
  12. A. Jafarpour, A. Adibi, Y. Xu, and R. K. Lee, "Mode dispersion in biperiodic photonic crystal waveguides," Phys. Rev. B 68, 233102 (2003).
    [CrossRef]
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    [CrossRef]
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  15. 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] [PubMed]
  16. R. Jacobsen, A. Lavrinenko, L. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage-Pedersen, and P. Borel, "Direct experimental and numerical determination of extremely high group indices in photonic crystal waveguides," Opt. Express 13, 7861-7871 (2005).
    [CrossRef] [PubMed]
  17. M. Settle, M. Salib, A. Michaeli, and T. F. Krauss, "Low loss silicon on insulator photonic crystal waveguides made by 193nm optical lithography," Opt. Express 14, 2440-2445 (2006).
    [CrossRef] [PubMed]

2006 (5)

2005 (3)

R. Jacobsen, A. Lavrinenko, L. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage-Pedersen, and P. Borel, "Direct experimental and numerical determination of extremely high group indices in photonic crystal waveguides," Opt. Express 13, 7861-7871 (2005).
[CrossRef] [PubMed]

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in Photonic Crystal Waveguides: Role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 033903 (2005).
[CrossRef] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

2004 (1)

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

2003 (1)

A. Jafarpour, A. Adibi, Y. Xu, and R. K. Lee, "Mode dispersion in biperiodic photonic crystal waveguides," Phys. Rev. B 68, 233102 (2003).
[CrossRef]

2002 (1)

2001 (4)

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] [PubMed]

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, "Optical delay lines based on Optical Filters," IEEE J. Quantum Electron. 37, 525-532 (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] [PubMed]

K. Yamada, H. Morita, A. Shinya, and M. Notomi, "Improved line-defect structures for photonic-crystal waveguides with high velocity," Opt. Commun. 198, 395-402 (2001).
[CrossRef]

2000 (1)

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Linear waveguides in photonic crystal slabs," Phys. Rev. B 62, 8212-8222 (2000).
[CrossRef]

Adibi, A.

A. Jafarpour, A. Adibi, Y. Xu, and R. K. Lee, "Mode dispersion in biperiodic photonic crystal waveguides," Phys. Rev. B 68, 233102 (2003).
[CrossRef]

Andersen, K.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

Asakawa, K.

Bjarklev, A.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

Bogaerts, W.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Borel, P.

Borel, P. I.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

Eggleton, B. J.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, "Optical delay lines based on Optical Filters," IEEE J. Quantum Electron. 37, 525-532 (2001).
[CrossRef]

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]

Engelen, R. J. P.

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, "The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides," Opt. Express 14, 1658-1672 (2006).
[CrossRef] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Fage-Pedersen, J.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

R. Jacobsen, A. Lavrinenko, L. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage-Pedersen, and P. Borel, "Direct experimental and numerical determination of extremely high group indices in photonic crystal waveguides," Opt. Express 13, 7861-7871 (2005).
[CrossRef] [PubMed]

Fan, S.

M. Soljacic, S. G. Johnson, S. Fan, M. Ibanesku, E. Ippen, and J. D. Joannopoulos, "Photonic-crystal slow-light enhancement of nonlinear phase sensitivity," J. Opt. Soc. Am. B 19, 2052-2059 (2002).
[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Linear waveguides in photonic crystal slabs," Phys. Rev. B 62, 8212-8222 (2000).
[CrossRef]

Frandsen, L.

Frandsen, L. H.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

García, J.

Gersen, H.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Hansen, O.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

Hughes, S.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in Photonic Crystal Waveguides: Role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 033903 (2005).
[CrossRef] [PubMed]

Ibanesku, M.

Ikeda, N.

Ippen, E.

Jacobsen, R.

Jacobsen, R. S.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

Jafarpour, A.

A. Jafarpour, A. Adibi, Y. Xu, and R. K. Lee, "Mode dispersion in biperiodic photonic crystal waveguides," Phys. Rev. B 68, 233102 (2003).
[CrossRef]

Joannopoulos, J.

Joannopoulos, J. D.

M. Soljacic, S. G. Johnson, S. Fan, M. Ibanesku, E. Ippen, and J. D. Joannopoulos, "Photonic-crystal slow-light enhancement of nonlinear phase sensitivity," J. Opt. Soc. Am. B 19, 2052-2059 (2002).
[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Linear waveguides in photonic crystal slabs," Phys. Rev. B 62, 8212-8222 (2000).
[CrossRef]

Johnson, S.

Johnson, S. G.

M. Soljacic, S. G. Johnson, S. Fan, M. Ibanesku, E. Ippen, and J. D. Joannopoulos, "Photonic-crystal slow-light enhancement of nonlinear phase sensitivity," J. Opt. Soc. Am. B 19, 2052-2059 (2002).
[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Linear waveguides in photonic crystal slabs," Phys. Rev. B 62, 8212-8222 (2000).
[CrossRef]

Karle, T. J.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Korterik, J. P.

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, "The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides," Opt. Express 14, 1658-1672 (2006).
[CrossRef] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Krauss, T. F.

M. Settle, M. Salib, A. Michaeli, and T. F. Krauss, "Low loss silicon on insulator photonic crystal waveguides made by 193nm optical lithography," Opt. Express 14, 2440-2445 (2006).
[CrossRef] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Kristensen, M.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

Kuipers, L.

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, "The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides," Opt. Express 14, 1658-1672 (2006).
[CrossRef] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Lavrinenko, A.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

R. Jacobsen, A. Lavrinenko, L. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage-Pedersen, and P. Borel, "Direct experimental and numerical determination of extremely high group indices in photonic crystal waveguides," Opt. Express 13, 7861-7871 (2005).
[CrossRef] [PubMed]

Lee, R. K.

A. Jafarpour, A. Adibi, Y. Xu, and R. K. Lee, "Mode dispersion in biperiodic photonic crystal waveguides," Phys. Rev. B 68, 233102 (2003).
[CrossRef]

Lenz, G.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, "Optical delay lines based on Optical Filters," IEEE J. Quantum Electron. 37, 525-532 (2001).
[CrossRef]

Madsen, C. K.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, "Optical delay lines based on Optical Filters," IEEE J. Quantum Electron. 37, 525-532 (2001).
[CrossRef]

Martí, J.

McNab, S. J.

Michaeli, A.

Morita, H.

K. Yamada, H. Morita, A. Shinya, and M. Notomi, "Improved line-defect structures for photonic-crystal waveguides with high velocity," Opt. Commun. 198, 395-402 (2001).
[CrossRef]

Moulin, G.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

R. Jacobsen, A. Lavrinenko, L. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage-Pedersen, and P. Borel, "Direct experimental and numerical determination of extremely high group indices in photonic crystal waveguides," Opt. Express 13, 7861-7871 (2005).
[CrossRef] [PubMed]

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] [PubMed]

K. Yamada, H. Morita, A. Shinya, and M. Notomi, "Improved line-defect structures for photonic-crystal waveguides with high velocity," Opt. Commun. 198, 395-402 (2001).
[CrossRef]

Ou, H.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

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]

Peucheret, C.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

R. Jacobsen, A. Lavrinenko, L. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage-Pedersen, and P. Borel, "Direct experimental and numerical determination of extremely high group indices in photonic crystal waveguides," Opt. Express 13, 7861-7871 (2005).
[CrossRef] [PubMed]

Ramunno, L.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in Photonic Crystal Waveguides: Role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 033903 (2005).
[CrossRef] [PubMed]

Salib, M.

Sanchis, P.

Settle, M.

Shinya, A.

K. Yamada, H. Morita, A. Shinya, and M. Notomi, "Improved line-defect structures for photonic-crystal waveguides with high velocity," Opt. Commun. 198, 395-402 (2001).
[CrossRef]

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] [PubMed]

Sipe, J. E.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in Photonic Crystal Waveguides: Role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 033903 (2005).
[CrossRef] [PubMed]

Slusher, R. E.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, "Optical delay lines based on Optical Filters," IEEE J. Quantum Electron. 37, 525-532 (2001).
[CrossRef]

Soljacic, M.

Sugimoto, Y.

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] [PubMed]

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] [PubMed]

van Hulst, N. F.

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, "The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides," Opt. Express 14, 1658-1672 (2006).
[CrossRef] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Villeneuve, P. R.

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Linear waveguides in photonic crystal slabs," Phys. Rev. B 62, 8212-8222 (2000).
[CrossRef]

Vlasov, Y. A.

Watanabe, Y.

Xu, Y.

A. Jafarpour, A. Adibi, Y. Xu, and R. K. Lee, "Mode dispersion in biperiodic photonic crystal waveguides," Phys. Rev. B 68, 233102 (2003).
[CrossRef]

Yamada, K.

K. Yamada, H. Morita, A. Shinya, and M. Notomi, "Improved line-defect structures for photonic-crystal waveguides with high velocity," Opt. Commun. 198, 395-402 (2001).
[CrossRef]

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] [PubMed]

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] [PubMed]

Young, J. F.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in Photonic Crystal Waveguides: Role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 033903 (2005).
[CrossRef] [PubMed]

Zsigri, B.

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

R. Jacobsen, A. Lavrinenko, L. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage-Pedersen, and P. Borel, "Direct experimental and numerical determination of extremely high group indices in photonic crystal waveguides," Opt. Express 13, 7861-7871 (2005).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

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

IEEE J. Quantum Electron. (1)

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, "Optical delay lines based on Optical Filters," IEEE J. Quantum Electron. 37, 525-532 (2001).
[CrossRef]

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

Nature (1)

R. S. Jacobsen, K. Andersen, P. I. Borel, J. Fage-Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri and A. Bjarklev, "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006).
[CrossRef] [PubMed]

Opt. Commun. (1)

K. Yamada, H. Morita, A. Shinya, and M. Notomi, "Improved line-defect structures for photonic-crystal waveguides with high velocity," Opt. Commun. 198, 395-402 (2001).
[CrossRef]

Opt. Express (5)

Opt. Lett. (1)

Phys. Rev Lett. (1)

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers,"Real space observations of ultraslow light in photonic crystal waveguides," Phys. Rev Lett. 94, 073903 (2005).
[CrossRef] [PubMed]

Phys. Rev. B (2)

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Linear waveguides in photonic crystal slabs," Phys. Rev. B 62, 8212-8222 (2000).
[CrossRef]

A. Jafarpour, A. Adibi, Y. Xu, and R. K. Lee, "Mode dispersion in biperiodic photonic crystal waveguides," Phys. Rev. B 68, 233102 (2003).
[CrossRef]

Phys. Rev. Lett. (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] [PubMed]

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in Photonic Crystal Waveguides: Role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 033903 (2005).
[CrossRef] [PubMed]

Other (1)

G. P. Agrawal, Fiber-Optic Communication Systems (Wiley-Interscience, 1997).

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Figures (5)

Fig. 1.
Fig. 1.

(a) Typical band diagram showing the normalized frequencies versus normalized wavevectors for a single-line defect 2D photonic crystal waveguide supporting an even (solid) and odd (dashed) mode in the bandgap. The inset of the graph sketches the supercell used in the plane wave expansion calculation. (b) Group velocity v g in units of the speed of light in vacuum, c 0, versus wavevector k z (black), calculated by using Eq. (1). The group velocity dispersion parameter β 2 obtained from Eq. (2) (red). (c) Modal field distributions in a W1 PhCW for the wavevectors marked by a red, yellow, and green square in (a) and (b).

Fig. 2.
Fig. 2.

Movement of the even PBG mode when changing the diameter (a) D 1 of the first row and (b) D 2 of the second row of holes in a W1 PhCW. Bulk holes have diameter D=0.60Λ.

Fig. 3.
Fig. 3.

(a). Band diagram for different even PBG modes in a 3D W1 PhCW where the diameter D 1/D 2 of the first/second row of holes have been changed according to the legend, relative to the bulk diameter D=222 nm. (b) Corresponding calculated group indices (bottom) and group velocity dispersion parameter β 2 (top, left and right) for the modes plotted in (a).

Fig. 4.
Fig. 4.

Scanning electron micrograph of a perturbed photonic crystal waveguide. The diameter D 1/D 2 has been decreased/increased compared to the diameter D of the bulk holes.

Fig. 5.
Fig. 5.

(a). 3D band diagram (left) and transmission spectrum (right) for a perturbed 500-µm PhCW with ΔD1=-60 nm and ΔD2=+10 nm. The even PBG mode (solid black) gives rise to two transmission peaks: one located above (dotted red) and one located below (dotted green) the silica-line (violet). (b) Measured (black), 2D FDTD (blue) and 3D PWE (red) calculated group index for the perturbed PhCW. The measured propagation loss is also plotted (green).

Equations (2)

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v g = d ω d k = c 0 n g ,
β 2 = d 2 k d ω 2 = d n g d ω 1 c 0 .

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