Abstract

We propose a new type of optical waveguide that consists of a sequence of coupled high-<i>Q</i> resonators. Unlike other types of optical waveguide, waveguiding in the coupled-resonator optical waveguide (CROW) is achieved through weak coupling between otherwise localized high-<i>Q</i> optical cavities. Employing a formalism similar to the tight-binding method in solid-state physics, we obtain the relations for the dispersion and the group velocity of the photonic band of the CROW's and find that they are solely characterized by coupling factor <i>k</i><sub>1</sub> . We also demonstrate the possibility of highly efficient nonlinear optical frequency conversion and perfect transmission through bends in CROW's.

© 1999 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Yariv, and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).
  2. P. Yeh and A. Yariv, Opt. Commun. 19, 427 (1976).
  3. S. L. McCall, A. F. Levi, R. E. Slusher, S. J. Pearton, and R. L. Logan, Appl. Phys. Lett. 60, 289 (1992).
  4. R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, J. Appl. Phys. 75, 4753 (1994).
  5. P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).
  6. S. John, Phys. Rev. Lett. 58, 2486 (1987).
  7. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
  8. See, for example, N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders, Philadelphia, Pa., 1976).
  9. A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
  10. A. Yariv, Optical Electronics in Modern Communications (Oxford University, New York, 1997).

1997

A. Yariv, Optical Electronics in Modern Communications (Oxford University, New York, 1997).

1996

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).

1994

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, J. Appl. Phys. 75, 4753 (1994).

1992

S. L. McCall, A. F. Levi, R. E. Slusher, S. J. Pearton, and R. L. Logan, Appl. Phys. Lett. 60, 289 (1992).

1987

S. John, Phys. Rev. Lett. 58, 2486 (1987).

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).

1984

A. Yariv, and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).

1976

P. Yeh and A. Yariv, Opt. Commun. 19, 427 (1976).

See, for example, N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders, Philadelphia, Pa., 1976).

Alerhand, O. L.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, J. Appl. Phys. 75, 4753 (1994).

Ashcroft, N. W.

See, for example, N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders, Philadelphia, Pa., 1976).

Chen, J. C.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).

Devenyi, A.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, J. Appl. Phys. 75, 4753 (1994).

Fan, S.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).

Joannopoulos, J. D.

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, J. Appl. Phys. 75, 4753 (1994).

John, S.

S. John, Phys. Rev. Lett. 58, 2486 (1987).

Kash, K.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, J. Appl. Phys. 75, 4753 (1994).

Kurland, I.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).

Levi, A. F.

S. L. McCall, A. F. Levi, R. E. Slusher, S. J. Pearton, and R. L. Logan, Appl. Phys. Lett. 60, 289 (1992).

Logan, R. L.

S. L. McCall, A. F. Levi, R. E. Slusher, S. J. Pearton, and R. L. Logan, Appl. Phys. Lett. 60, 289 (1992).

McCall, S. L.

S. L. McCall, A. F. Levi, R. E. Slusher, S. J. Pearton, and R. L. Logan, Appl. Phys. Lett. 60, 289 (1992).

Meade, R. D.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, J. Appl. Phys. 75, 4753 (1994).

Mekis, A.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).

Mermin, N. D.

See, for example, N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders, Philadelphia, Pa., 1976).

Pearton, S. J.

S. L. McCall, A. F. Levi, R. E. Slusher, S. J. Pearton, and R. L. Logan, Appl. Phys. Lett. 60, 289 (1992).

Slusher, R. E.

S. L. McCall, A. F. Levi, R. E. Slusher, S. J. Pearton, and R. L. Logan, Appl. Phys. Lett. 60, 289 (1992).

Smith, D. A.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, J. Appl. Phys. 75, 4753 (1994).

Villeneuve, P. R.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).

Yablonovitch, E.

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).

Yariv, A.

A. Yariv, Optical Electronics in Modern Communications (Oxford University, New York, 1997).

A. Yariv, and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).

P. Yeh and A. Yariv, Opt. Commun. 19, 427 (1976).

Yeh, P.

A. Yariv, and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).

P. Yeh and A. Yariv, Opt. Commun. 19, 427 (1976).

Appl. Phys. Lett.

S. L. McCall, A. F. Levi, R. E. Slusher, S. J. Pearton, and R. L. Logan, Appl. Phys. Lett. 60, 289 (1992).

J. Appl. Phys.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, J. Appl. Phys. 75, 4753 (1994).

Opt. Commun.

P. Yeh and A. Yariv, Opt. Commun. 19, 427 (1976).

Phys. Rev. B

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).

Phys. Rev. Lett.

S. John, Phys. Rev. Lett. 58, 2486 (1987).

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).

Other

A. Yariv, Optical Electronics in Modern Communications (Oxford University, New York, 1997).

A. Yariv, and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).

See, for example, N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders, Philadelphia, Pa., 1976).

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.


Metrics