Abstract

On the basis of a general analysis of waveguides containing a dispersive material, we identify conditions under which slow-light propagation may enhance the gain, absorption, or phase change. The enhancement is shown to depend on the slow-light mechanism and the translational symmetry of the waveguide. A combination of material and waveguide dispersion may strongly enhance the control of light speed, e.g., using electromagnetically induced transparency in quantum dots embedded in a photonic crystal waveguide.

© 2010 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  8. J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  16. J. Lægsgaard, A. Bjarklev, and S. E. B. Libori, J. Opt. Soc. Am. B 20, 443 (2003).
    [CrossRef]
  17. P. Kaer Nielsen, H. Thyrrestrup, J. Mørk, and B. Tromborg, Opt. Express 15, 6396 (2007).
    [CrossRef] [PubMed]

2010 (1)

2009 (4)

R. W. Boyd and D. J. Gauthier, Science 326, 1074 (2009).
[CrossRef] [PubMed]

W. Xue, S. Sales, J. Mørk, and J. Capmany, IEEE Photonics Technol. Lett. 21, 167 (2009).
[CrossRef]

B. Corcoran, C. Monat, C. Grillet, D. J. Moss, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, Nat. Photon. 3, 206 (2009).
[CrossRef]

T. R. Nielsen, A. Lavrinenko, and J. Mørk, Appl. Phys. Lett. 94, 113111 (2009).
[CrossRef]

2007 (4)

2004 (1)

M. Soljacic and J. D. Joannopoulos, Nat. Mater. 3, 211 (2004).
[CrossRef] [PubMed]

2003 (2)

C. J. Chang-Hasnain, P. C. Ku, J. Kim, and S. H. Chuang, Proc. IEEE 9, 1884 (2003).
[CrossRef]

J. Lægsgaard, A. Bjarklev, and S. E. B. Libori, J. Opt. Soc. Am. B 20, 443 (2003).
[CrossRef]

2002 (1)

1994 (1)

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

Beugnot, J. C.

S. Chin, I. Dicaire, J. C. Beugnot, S. F. Mafang, M. G. Herraez, and L. Thévenaz, in OSA Topical Meeting on Slow and Fast Light, OSA Technical Digest (Optical Society of America, 2009), paper SMA3.

Bjarklev, A.

Bloemer, M. J.

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

Bowden, C. M.

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

Boyd, R. W.

Capmany, J.

W. Xue, S. Sales, J. Mørk, and J. Capmany, IEEE Photonics Technol. Lett. 21, 167 (2009).
[CrossRef]

Chang-Hasnain, C. J.

C. J. Chang-Hasnain, P. C. Ku, J. Kim, and S. H. Chuang, Proc. IEEE 9, 1884 (2003).
[CrossRef]

Chin, S.

S. Chin, I. Dicaire, J. C. Beugnot, S. F. Mafang, M. G. Herraez, and L. Thévenaz, in OSA Topical Meeting on Slow and Fast Light, OSA Technical Digest (Optical Society of America, 2009), paper SMA3.

Chuang, S. H.

C. J. Chang-Hasnain, P. C. Ku, J. Kim, and S. H. Chuang, Proc. IEEE 9, 1884 (2003).
[CrossRef]

Corcoran, B.

B. Corcoran, C. Monat, C. Grillet, D. J. Moss, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, Nat. Photon. 3, 206 (2009).
[CrossRef]

Dicaire, I.

S. Chin, I. Dicaire, J. C. Beugnot, S. F. Mafang, M. G. Herraez, and L. Thévenaz, in OSA Topical Meeting on Slow and Fast Light, OSA Technical Digest (Optical Society of America, 2009), paper SMA3.

Dowling, J. P.

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

Dudley, C. C.

Eggleton, B. J.

B. Corcoran, C. Monat, C. Grillet, D. J. Moss, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, Nat. Photon. 3, 206 (2009).
[CrossRef]

Fan, S.

Gauthier, D.

D. Gauthier, presented at the Rump session at OSA Topical Meeting on Slow and Fast Light, Salt Lake City (2007).

Gauthier, D. J.

Grgic, J.

Grillet, C.

B. Corcoran, C. Monat, C. Grillet, D. J. Moss, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, Nat. Photon. 3, 206 (2009).
[CrossRef]

Herraez, M. G.

S. Chin, I. Dicaire, J. C. Beugnot, S. F. Mafang, M. G. Herraez, and L. Thévenaz, in OSA Topical Meeting on Slow and Fast Light, OSA Technical Digest (Optical Society of America, 2009), paper SMA3.

Ibanescu, M.

Ippen, E.

Jauho, A.-P.

Joannopoulos, J. D.

Johnson, S. G.

Kaer Nielsen, P.

Kim, J.

C. J. Chang-Hasnain, P. C. Ku, J. Kim, and S. H. Chuang, Proc. IEEE 9, 1884 (2003).
[CrossRef]

Krauss, T. F.

B. Corcoran, C. Monat, C. Grillet, D. J. Moss, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, Nat. Photon. 3, 206 (2009).
[CrossRef]

T. F. Krauss, J. Phys. D 40, 2666 (2007).
[CrossRef]

Ku, P. C.

C. J. Chang-Hasnain, P. C. Ku, J. Kim, and S. H. Chuang, Proc. IEEE 9, 1884 (2003).
[CrossRef]

Lægsgaard, J.

Lavrinenko, A.

T. R. Nielsen, A. Lavrinenko, and J. Mørk, Appl. Phys. Lett. 94, 113111 (2009).
[CrossRef]

Libori, S. E. B.

Love, J. D.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic1983).

Mafang, S. F.

S. Chin, I. Dicaire, J. C. Beugnot, S. F. Mafang, M. G. Herraez, and L. Thévenaz, in OSA Topical Meeting on Slow and Fast Light, OSA Technical Digest (Optical Society of America, 2009), paper SMA3.

Monat, C.

B. Corcoran, C. Monat, C. Grillet, D. J. Moss, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, Nat. Photon. 3, 206 (2009).
[CrossRef]

Mørk, J.

J. Grgic, S. Xiao, J. Mørk, A.-P. Jauho, and N. A. Mortensen, Opt. Express 18, 14270 (2010).
[CrossRef] [PubMed]

T. R. Nielsen, A. Lavrinenko, and J. Mørk, Appl. Phys. Lett. 94, 113111 (2009).
[CrossRef]

W. Xue, S. Sales, J. Mørk, and J. Capmany, IEEE Photonics Technol. Lett. 21, 167 (2009).
[CrossRef]

P. Kaer Nielsen, H. Thyrrestrup, J. Mørk, and B. Tromborg, Opt. Express 15, 6396 (2007).
[CrossRef] [PubMed]

Mortensen, N. A.

Moss, D. J.

B. Corcoran, C. Monat, C. Grillet, D. J. Moss, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, Nat. Photon. 3, 206 (2009).
[CrossRef]

Nielsen, T. R.

T. R. Nielsen, A. Lavrinenko, and J. Mørk, Appl. Phys. Lett. 94, 113111 (2009).
[CrossRef]

O’Faolain, L.

B. Corcoran, C. Monat, C. Grillet, D. J. Moss, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, Nat. Photon. 3, 206 (2009).
[CrossRef]

Sales, S.

W. Xue, S. Sales, J. Mørk, and J. Capmany, IEEE Photonics Technol. Lett. 21, 167 (2009).
[CrossRef]

Scalora, M.

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

Shi, Z.

Snyder, A. W.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic1983).

Soljacic, M.

Thévenaz, L.

S. Chin, I. Dicaire, J. C. Beugnot, S. F. Mafang, M. G. Herraez, and L. Thévenaz, in OSA Topical Meeting on Slow and Fast Light, OSA Technical Digest (Optical Society of America, 2009), paper SMA3.

Thyrrestrup, H.

Tromborg, B.

White, T. P.

B. Corcoran, C. Monat, C. Grillet, D. J. Moss, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, Nat. Photon. 3, 206 (2009).
[CrossRef]

Xiao, S.

Xue, W.

W. Xue, S. Sales, J. Mørk, and J. Capmany, IEEE Photonics Technol. Lett. 21, 167 (2009).
[CrossRef]

Appl. Phys. Lett. (2)

N. A. Mortensen and S. Xiao, Appl. Phys. Lett. 90, 141108 (2007).
[CrossRef]

T. R. Nielsen, A. Lavrinenko, and J. Mørk, Appl. Phys. Lett. 94, 113111 (2009).
[CrossRef]

IEEE Photonics Technol. Lett. (1)

W. Xue, S. Sales, J. Mørk, and J. Capmany, IEEE Photonics Technol. Lett. 21, 167 (2009).
[CrossRef]

J. Appl. Phys. (1)

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

J. Opt. Soc. Am. B (2)

J. Phys. D (1)

T. F. Krauss, J. Phys. D 40, 2666 (2007).
[CrossRef]

Nat. Mater. (1)

M. Soljacic and J. D. Joannopoulos, Nat. Mater. 3, 211 (2004).
[CrossRef] [PubMed]

Nat. Photon. (1)

B. Corcoran, C. Monat, C. Grillet, D. J. Moss, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, Nat. Photon. 3, 206 (2009).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Proc. IEEE (1)

C. J. Chang-Hasnain, P. C. Ku, J. Kim, and S. H. Chuang, Proc. IEEE 9, 1884 (2003).
[CrossRef]

Science (1)

R. W. Boyd and D. J. Gauthier, Science 326, 1074 (2009).
[CrossRef] [PubMed]

Other (3)

D. Gauthier, presented at the Rump session at OSA Topical Meeting on Slow and Fast Light, Salt Lake City (2007).

S. Chin, I. Dicaire, J. C. Beugnot, S. F. Mafang, M. G. Herraez, and L. Thévenaz, in OSA Topical Meeting on Slow and Fast Light, OSA Technical Digest (Optical Society of America, 2009), paper SMA3.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic1983).

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Figures (1)

Fig. 1
Fig. 1

(a) Schematic of a defect (W1) photonic crystal waveguide with embedded quantum dots. (b) Illustration of the locus curves (dispersion diagrams) in the ( k , ω ) plane for an unperturbed system [bulk or photonic crystal (PhC) waveguide; dashed curves] and including a perturbation representing an embedded EIT medium (solid curves).

Equations (9)

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× | E = ε ( r , ω ) ω 2 c 2 | E ,
ε ( r ) = ε ( 0 ) ( r ) : ω = ω m ( k ) ; | E = | E m .
L m = L m ( 0 ) + ω 2 Δ ε ¯ r = ω 2 ω m 2 ( k ) + ω 2 Δ ε r , m .
Δ L = L m ( 0 ) ω Δ ω + L m ( 0 ) k Δ k + ω 2 Δ ε r , m = 0.
Δ k = ω 2 Δ ε r , m L m 0 / k = 1 2 ω m ( ω m k ) 1 Δ ε r , m = ω m 2 v g 0 Δ ε r , m .
R = n g ( 0 ) n h Δ ε r , m Δ ε r ,
z | A = { i ( k ( ω ) k ( ω 0 ) ) + i ω 0 2 2 k 0 c 2 Γ Δ χ ( ω ) } | A ( z ) .
n g = c ( ω m k ) 1 ( 1 + 1 2 ω m Δ ε r , m ω ) = n g ( 0 ) ( 1 + 1 2 ω m Δ ε r , m ω ) .
n g = n g ( 0 ) ( 1 + Γ eff Γ h ( n g d n h 1 ) ) .

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