Abstract

Coupled-cavity waveguides (CCWs) allow light propagation with strong field confinement in the cavities and small group velocity, which greatly enhances the efficiency of nonlinear effects. In addition, guided modes have zero dispersion at the central region of the transmission miniband. We show that CCWs created in planar photonic crystals, in which index guiding is required in some spatial dimensions, are intrinsically lossy in the region of zero dispersion, which strongly limits their use in nonlinear applications and devices.

© 2007 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. Soljacic, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, J. Opt. Soc. Am. B 19, 2052 (2002).
    [CrossRef]
  2. M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, Phys. Rev. Lett. 87, 253902 (2001).
    [CrossRef] [PubMed]
  3. N. Stefanou and A. Modinos, Phys. Rev. B 57, 12127 (1998).
    [CrossRef]
  4. A. Martínez, A. García, P. Sanchis, and J. Martí, J. Opt. Soc. Am. A 20, 147 (2003).
    [CrossRef]
  5. A. Y. Petrov and M. Eich, Appl. Phys. Lett. 85, 4866 (2004).
    [CrossRef]
  6. M. Bayindir, B. Temelkuran, and E. Ozbay, Phys. Rev. Lett. 84, 2140 (2000).
    [CrossRef] [PubMed]
  7. T. J. Karle, D. H. Brown, R. Wilson, M. Steer, and T. F. Krauss, IEEE J. Sel. Top. Quantum Electron. 8, 909 (2002).
    [CrossRef]
  8. S. Nishikawa, S. Lan, N. Ikeda, Y. Sugimoto, H. Ishikawa, and K. Asakawa, Opt. Lett. 27, 2079 (2002).
    [CrossRef]
  9. P. R. Villeneuve, S. Fan, J. D. Joannopoulos, K.-Y. Lim, G. S. Petrich, L. A. Kolodziejski, and R. Reif, Appl. Phys. Lett. 67, 167 (1995).
    [CrossRef]
  10. Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
    [CrossRef] [PubMed]
  11. P. Sanchis, J. Martí, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, IEEE Photon. Technol. Lett. 17, 1199 (2005).
    [CrossRef]
  12. H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
    [CrossRef]
  13. E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, Phys. Rev. B 72, 161318 (2005).
    [CrossRef]

2005 (2)

P. Sanchis, J. Martí, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, IEEE Photon. Technol. Lett. 17, 1199 (2005).
[CrossRef]

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, Phys. Rev. B 72, 161318 (2005).
[CrossRef]

2004 (1)

A. Y. Petrov and M. Eich, Appl. Phys. Lett. 85, 4866 (2004).
[CrossRef]

2003 (2)

2002 (3)

2001 (1)

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef] [PubMed]

2000 (2)

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
[CrossRef]

M. Bayindir, B. Temelkuran, and E. Ozbay, Phys. Rev. Lett. 84, 2140 (2000).
[CrossRef] [PubMed]

1998 (1)

N. Stefanou and A. Modinos, Phys. Rev. B 57, 12127 (1998).
[CrossRef]

1995 (1)

P. R. Villeneuve, S. Fan, J. D. Joannopoulos, K.-Y. Lim, G. S. Petrich, L. A. Kolodziejski, and R. Reif, Appl. Phys. Lett. 67, 167 (1995).
[CrossRef]

Akahane, Y.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[CrossRef] [PubMed]

Asakawa, K.

Asano, T.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[CrossRef] [PubMed]

Baets, R.

P. Sanchis, J. Martí, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, IEEE Photon. Technol. Lett. 17, 1199 (2005).
[CrossRef]

Bayindir, M.

M. Bayindir, B. Temelkuran, and E. Ozbay, Phys. Rev. Lett. 84, 2140 (2000).
[CrossRef] [PubMed]

Benisty, H.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
[CrossRef]

Béraud, A.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
[CrossRef]

Bogaerts, W.

P. Sanchis, J. Martí, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, IEEE Photon. Technol. Lett. 17, 1199 (2005).
[CrossRef]

Brown, D. H.

T. J. Karle, D. H. Brown, R. Wilson, M. Steer, and T. F. Krauss, IEEE J. Sel. Top. Quantum Electron. 8, 909 (2002).
[CrossRef]

Cassagne, D.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
[CrossRef]

Dumon, P.

P. Sanchis, J. Martí, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, IEEE Photon. Technol. Lett. 17, 1199 (2005).
[CrossRef]

Eich, M.

A. Y. Petrov and M. Eich, Appl. Phys. Lett. 85, 4866 (2004).
[CrossRef]

Fan, S.

M. Soljacic, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, J. Opt. Soc. Am. B 19, 2052 (2002).
[CrossRef]

P. R. Villeneuve, S. Fan, J. D. Joannopoulos, K.-Y. Lim, G. S. Petrich, L. A. Kolodziejski, and R. Reif, Appl. Phys. Lett. 67, 167 (1995).
[CrossRef]

García, A.

Hughes, S.

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, Phys. Rev. B 72, 161318 (2005).
[CrossRef]

Ibanescu, M.

Ikeda, N.

Ippen, E.

Ishikawa, H.

Joannopoulos, J. D.

M. Soljacic, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, J. Opt. Soc. Am. B 19, 2052 (2002).
[CrossRef]

P. R. Villeneuve, S. Fan, J. D. Joannopoulos, K.-Y. Lim, G. S. Petrich, L. A. Kolodziejski, and R. Reif, Appl. Phys. Lett. 67, 167 (1995).
[CrossRef]

Johnson, S. G.

Jouanin, C.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
[CrossRef]

Karle, T. J.

T. J. Karle, D. H. Brown, R. Wilson, M. Steer, and T. F. Krauss, IEEE J. Sel. Top. Quantum Electron. 8, 909 (2002).
[CrossRef]

Kolodziejski, L. A.

P. R. Villeneuve, S. Fan, J. D. Joannopoulos, K.-Y. Lim, G. S. Petrich, L. A. Kolodziejski, and R. Reif, Appl. Phys. Lett. 67, 167 (1995).
[CrossRef]

Krauss, T. F.

T. J. Karle, D. H. Brown, R. Wilson, M. Steer, and T. F. Krauss, IEEE J. Sel. Top. Quantum Electron. 8, 909 (2002).
[CrossRef]

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
[CrossRef]

Kuramochi, E.

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, Phys. Rev. B 72, 161318 (2005).
[CrossRef]

Labilloy, D.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
[CrossRef]

Lan, S.

Lim, K.-Y.

P. R. Villeneuve, S. Fan, J. D. Joannopoulos, K.-Y. Lim, G. S. Petrich, L. A. Kolodziejski, and R. Reif, Appl. Phys. Lett. 67, 167 (1995).
[CrossRef]

Martí, J.

P. Sanchis, J. Martí, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, IEEE Photon. Technol. Lett. 17, 1199 (2005).
[CrossRef]

A. Martínez, A. García, P. Sanchis, and J. Martí, J. Opt. Soc. Am. A 20, 147 (2003).
[CrossRef]

Martínez, A.

Modinos, A.

N. Stefanou and A. Modinos, Phys. Rev. B 57, 12127 (1998).
[CrossRef]

Nishikawa, S.

Noda, S.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[CrossRef] [PubMed]

Notomi, M.

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, Phys. Rev. B 72, 161318 (2005).
[CrossRef]

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef] [PubMed]

Ozbay, E.

M. Bayindir, B. Temelkuran, and E. Ozbay, Phys. Rev. Lett. 84, 2140 (2000).
[CrossRef] [PubMed]

Petrich, G. S.

P. R. Villeneuve, S. Fan, J. D. Joannopoulos, K.-Y. Lim, G. S. Petrich, L. A. Kolodziejski, and R. Reif, Appl. Phys. Lett. 67, 167 (1995).
[CrossRef]

Petrov, A. Y.

A. Y. Petrov and M. Eich, Appl. Phys. Lett. 85, 4866 (2004).
[CrossRef]

Ramunno, L.

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, Phys. Rev. B 72, 161318 (2005).
[CrossRef]

Reif, R.

P. R. Villeneuve, S. Fan, J. D. Joannopoulos, K.-Y. Lim, G. S. Petrich, L. A. Kolodziejski, and R. Reif, Appl. Phys. Lett. 67, 167 (1995).
[CrossRef]

Sanchis, P.

P. Sanchis, J. Martí, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, IEEE Photon. Technol. Lett. 17, 1199 (2005).
[CrossRef]

A. Martínez, A. García, P. Sanchis, and J. Martí, J. Opt. Soc. Am. A 20, 147 (2003).
[CrossRef]

Shinya, A.

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, Phys. Rev. B 72, 161318 (2005).
[CrossRef]

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef] [PubMed]

Smith, C. J. M.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
[CrossRef]

Soljacic, M.

Song, B. S.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[CrossRef] [PubMed]

Steer, M.

T. J. Karle, D. H. Brown, R. Wilson, M. Steer, and T. F. Krauss, IEEE J. Sel. Top. Quantum Electron. 8, 909 (2002).
[CrossRef]

Stefanou, N.

N. Stefanou and A. Modinos, Phys. Rev. B 57, 12127 (1998).
[CrossRef]

Sugimoto, Y.

Takahashi, C.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef] [PubMed]

Takahashi, J.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef] [PubMed]

Temelkuran, B.

M. Bayindir, B. Temelkuran, and E. Ozbay, Phys. Rev. Lett. 84, 2140 (2000).
[CrossRef] [PubMed]

Van Thourhout, D.

P. Sanchis, J. Martí, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, IEEE Photon. Technol. Lett. 17, 1199 (2005).
[CrossRef]

Villeneuve, P. R.

P. R. Villeneuve, S. Fan, J. D. Joannopoulos, K.-Y. Lim, G. S. Petrich, L. A. Kolodziejski, and R. Reif, Appl. Phys. Lett. 67, 167 (1995).
[CrossRef]

Watanabe, T.

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, Phys. Rev. B 72, 161318 (2005).
[CrossRef]

Weisbuch, C.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
[CrossRef]

Wilson, R.

T. J. Karle, D. H. Brown, R. Wilson, M. Steer, and T. F. Krauss, IEEE J. Sel. Top. Quantum Electron. 8, 909 (2002).
[CrossRef]

Yamada, K.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef] [PubMed]

Yokohama, I.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef] [PubMed]

Appl. Phys. Lett. (3)

A. Y. Petrov and M. Eich, Appl. Phys. Lett. 85, 4866 (2004).
[CrossRef]

P. R. Villeneuve, S. Fan, J. D. Joannopoulos, K.-Y. Lim, G. S. Petrich, L. A. Kolodziejski, and R. Reif, Appl. Phys. Lett. 67, 167 (1995).
[CrossRef]

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, Appl. Phys. Lett. 76, 532 (2000).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

T. J. Karle, D. H. Brown, R. Wilson, M. Steer, and T. F. Krauss, IEEE J. Sel. Top. Quantum Electron. 8, 909 (2002).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

P. Sanchis, J. Martí, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, IEEE Photon. Technol. Lett. 17, 1199 (2005).
[CrossRef]

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

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

Nature (1)

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature 425, 944 (2003).
[CrossRef] [PubMed]

Opt. Lett. (1)

Phys. Rev. B (2)

N. Stefanou and A. Modinos, Phys. Rev. B 57, 12127 (1998).
[CrossRef]

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, Phys. Rev. B 72, 161318 (2005).
[CrossRef]

Phys. Rev. Lett. (2)

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, Phys. Rev. Lett. 87, 253902 (2001).
[CrossRef] [PubMed]

M. Bayindir, B. Temelkuran, and E. Ozbay, Phys. Rev. Lett. 84, 2140 (2000).
[CrossRef] [PubMed]

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 (3)

Fig. 1
Fig. 1

Generic scheme of the dispersion relation of a CCW created on a planar PhC with the CCW miniband (in blue) having its zero GVD region below the CLL (in red).

Fig. 2
Fig. 2

(a) Schematic of the 1D CCW under study (case N = 5 ). Inset: pattern of the square magnetic field at the middle of the BZ; (b) photonic bands for the 1D PhC ( n = 2.3 ) ; (c) miniband diagram of the CCW with d = 5 a spacing between cavities. The w - k region corresponds to the dashed rectangle in (b); (d) normalized transmission (linear units) for the CCW with N = 5 , n = 2.3 , and M varying from 2 to 12.

Fig. 3
Fig. 3

(a) Normalized detected power (in decibels) at each cavity for a CCW with M = 12 . Inset: values of the refractive index of the CCW. (b) Color map of the mid-gap frequency of the 1D PhC as a function of n and w a . White curve stands for ω = 0.125 .

Metrics