Abstract

Slow-wave optical structures such as coupled photonic crystal cavities, coupled microresonators, and similar coupled-resonator optical waveguides are being proposed for slowing light because of the nature of their dispersion relationship. Since the group velocity becomes small, slow light and enhanced light-matter interaction may be observed at the edges of the waveguiding band. We derive a model of the effects of disorder on slow light in such structures, obtaining a relationship between the root-mean-square variation in the coupling coefficients and how slow the light is at the band edge.

© 2007 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  7. S. Mookherjea, J. Opt. Soc. Am. B 23, 1137 (2006).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  15. In Ref. , the authors derived Fig. 4 (inset) by fitting the data points by a sum-of-cosines, which forces the slope at the band edge to zero, even if this seems not to be indicated by the measured data points. We extracted Sbe≈6.5 from the data points (open circles) shown in Fig. 4.

2006 (3)

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

J. K. S. Poon, L. Zhu, G. DeRose, and A. Yariv, Opt. Lett. 31, 456 (2006).
[CrossRef]

S. Mookherjea, J. Opt. Soc. Am. B 23, 1137 (2006).

2005 (1)

H. Matsuoka and R. Grobe, Phys. Rev. E 71, 046606 (2005).
[CrossRef]

2003 (1)

2001 (2)

M. Bayindir, E. Cubukcu, I. Bulu, T. Tut, E. Ozbay, and C. Soukoulis, Phys. Rev. B 64, 195113 (2001).
[CrossRef]

G. Gutroff, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, Phys. Rev. B 64, 155313 (2001).
[CrossRef]

2000 (1)

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

1999 (1)

1998 (1)

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

1970 (1)

E. R. Smith, J. Phys. C 3, 1419 (1970).
[CrossRef]

1964 (1)

P. Dean, Proc. Phys. Soc. London 84, 727 (1964).
[CrossRef]

1953 (1)

F. J. Dyson, Phys. Rev. 92, 1331 (1953).
[CrossRef]

Andreani, L. C.

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

Bayer, M.

G. Gutroff, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, Phys. Rev. B 64, 155313 (2001).
[CrossRef]

Bayindir, M.

M. Bayindir, E. Cubukcu, I. Bulu, T. Tut, E. Ozbay, and C. Soukoulis, Phys. Rev. B 64, 195113 (2001).
[CrossRef]

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

Bertolotti, J.

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

Boag, A.

Bulu, I.

M. Bayindir, E. Cubukcu, I. Bulu, T. Tut, E. Ozbay, and C. Soukoulis, Phys. Rev. B 64, 195113 (2001).
[CrossRef]

Cubukcu, E.

M. Bayindir, E. Cubukcu, I. Bulu, T. Tut, E. Ozbay, and C. Soukoulis, Phys. Rev. B 64, 195113 (2001).
[CrossRef]

Dean, P.

P. Dean, Proc. Phys. Soc. London 84, 727 (1964).
[CrossRef]

DeRose, G.

Dyson, F. J.

F. J. Dyson, Phys. Rev. 92, 1331 (1953).
[CrossRef]

Forchel, A.

G. Gutroff, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, Phys. Rev. B 64, 155313 (2001).
[CrossRef]

Galli, M.

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

Ghulinyan, M.

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

Gottardo, S.

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

Grobe, R.

H. Matsuoka and R. Grobe, Phys. Rev. E 71, 046606 (2005).
[CrossRef]

Gutroff, G.

G. Gutroff, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, Phys. Rev. B 64, 155313 (2001).
[CrossRef]

Knipp, P. A.

G. Gutroff, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, Phys. Rev. B 64, 155313 (2001).
[CrossRef]

Lee, R. K.

Lisitsin, R.

Marabelli, F.

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

Matsuoka, H.

H. Matsuoka and R. Grobe, Phys. Rev. E 71, 046606 (2005).
[CrossRef]

Modinos, A.

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

Mookherjea, S.

Ozbay, E.

M. Bayindir, E. Cubukcu, I. Bulu, T. Tut, E. Ozbay, and C. Soukoulis, Phys. Rev. B 64, 195113 (2001).
[CrossRef]

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

Pavesi, L.

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

Poon, J. K. S.

Reinecke, T. L.

G. Gutroff, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, Phys. Rev. B 64, 155313 (2001).
[CrossRef]

Reithmaier, J. P.

G. Gutroff, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, Phys. Rev. B 64, 155313 (2001).
[CrossRef]

Scherer, A.

Slater, J. C.

J. C. Slater, Microwave Electronics (Dover, 1969), Chap. VIII.

Smith, E. R.

E. R. Smith, J. Phys. C 3, 1419 (1970).
[CrossRef]

Soukoulis, C.

M. Bayindir, E. Cubukcu, I. Bulu, T. Tut, E. Ozbay, and C. Soukoulis, Phys. Rev. B 64, 195113 (2001).
[CrossRef]

Stefanou, N.

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

Steinberg, B. Z.

Temelkuran, B.

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

Toninelli, C.

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

Tut, T.

M. Bayindir, E. Cubukcu, I. Bulu, T. Tut, E. Ozbay, and C. Soukoulis, Phys. Rev. B 64, 195113 (2001).
[CrossRef]

Wiersma, D. S.

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

Xu, Y.

Yariv, A.

Zhu, L.

Appl. Phys. Lett. (1)

M. Ghulinyan, M. Galli, C. Toninelli, J. Bertolotti, S. Gottardo, F. Marabelli, D. S. Wiersma, L. Pavesi, and L. C. Andreani, Appl. Phys. Lett. 88, 241103 (2006).
[CrossRef]

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

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

J. Phys. C (1)

E. R. Smith, J. Phys. C 3, 1419 (1970).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. (1)

F. J. Dyson, Phys. Rev. 92, 1331 (1953).
[CrossRef]

Phys. Rev. B (3)

G. Gutroff, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, Phys. Rev. B 64, 155313 (2001).
[CrossRef]

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

M. Bayindir, E. Cubukcu, I. Bulu, T. Tut, E. Ozbay, and C. Soukoulis, Phys. Rev. B 64, 195113 (2001).
[CrossRef]

Phys. Rev. E (1)

H. Matsuoka and R. Grobe, Phys. Rev. E 71, 046606 (2005).
[CrossRef]

Phys. Rev. Lett. (1)

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

Proc. Phys. Soc. London (1)

P. Dean, Proc. Phys. Soc. London 84, 727 (1964).
[CrossRef]

Other (2)

J. C. Slater, Microwave Electronics (Dover, 1969), Chap. VIII.

In Ref. , the authors derived Fig. 4 (inset) by fitting the data points by a sum-of-cosines, which forces the slope at the band edge to zero, even if this seems not to be indicated by the measured data points. We extracted Sbe≈6.5 from the data points (open circles) shown in Fig. 4.

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