Abstract

The evolution of nonlinear light fields traveling inside a resonantly absorbing Bragg reflector is studied by use of Maxwell–Bloch equations. Numerical results show that a pulse initially resembling a light bullet may effectively experience negative refraction and anomalous dispersion in the resonantly absorbing Bragg reflector.

© 2007 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  4. S. L. McCall and E. L. Hahn, Phys. Rev. 183, 457 (1969).
    [CrossRef]
  5. C. M. de Sterke and J. E. Sipe, Prog. Opt. 33, 204 (1994).
  6. M. Blaauboer, B. M. Malomed, and G. Kurizki, Phys. Rev. E 62, R57 (2000).
    [CrossRef]
  7. X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. Lett. 85, 1871 (2000).
    [CrossRef] [PubMed]
  8. J. Y. Zhou, H. G. Shao, J. Zhao, and K. S. Wong, Opt. Lett. 30, 1560 (2005).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
  20. J. B. Pendry and D. R. Smith, Phys. Today 57(6), 37 (2004).
    [CrossRef]

2006 (1)

C. M. Soukoulis, Opt. Photonics News 17(6), 16 (2006) and references therein.
[CrossRef]

2005 (2)

2004 (2)

J. B. Pendry and D. R. Smith, Phys. Today 57(6), 37 (2004).
[CrossRef]

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

2003 (3)

J. W. Fleischer, M. Segev, N. K. Etremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

S. Fotenopoulou, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 90, 107402 (2003).
[CrossRef]

W. N. Xiao, J. Y. Zhou, and J. P. Prineas, Opt. Express 11, 3277 (2003).
[CrossRef] [PubMed]

2002 (2)

2001 (1)

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. Malomed, Prog. Opt. 42, 93 (2001).
[CrossRef]

2000 (3)

M. Blaauboer, B. M. Malomed, and G. Kurizki, Phys. Rev. E 62, R57 (2000).
[CrossRef]

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. Lett. 85, 1871 (2000).
[CrossRef] [PubMed]

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

1998 (2)

A. D. Rossi, C. Conti, and S. Trillo, Phys. Rev. Lett. 81, 85 (1998).
[CrossRef]

A. E. Kozhekin and G. Kurizki, Phys. Rev. Lett. 81, 3647 (1998).
[CrossRef]

1995 (1)

A. E. Kozhekin and G. Kurizki, Phys. Rev. Lett. 74, 5020 (1995).
[CrossRef] [PubMed]

1994 (1)

C. M. de Sterke and J. E. Sipe, Prog. Opt. 33, 204 (1994).

1969 (1)

S. L. McCall and E. L. Hahn, Phys. Rev. 183, 457 (1969).
[CrossRef]

1968 (1)

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Beckwitt, K.

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. Lett. 85, 1871 (2000).
[CrossRef] [PubMed]

Blaauboer, M.

M. Blaauboer, B. M. Malomed, and G. Kurizki, Phys. Rev. E 62, R57 (2000).
[CrossRef]

Bloemer, M.

Bowden, C.

Cheng, J.

Christodoulides, D. N.

J. W. Fleischer, M. Segev, N. K. Etremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

Conti, C.

A. D. Rossi, C. Conti, and S. Trillo, Phys. Rev. Lett. 81, 85 (1998).
[CrossRef]

de Sterke, C. M.

C. M. de Sterke and J. E. Sipe, Prog. Opt. 33, 204 (1994).

Economou, E. N.

S. Fotenopoulou, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 90, 107402 (2003).
[CrossRef]

Etremidis, N. K.

J. W. Fleischer, M. Segev, N. K. Etremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

Fleischer, J. W.

J. W. Fleischer, M. Segev, N. K. Etremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

Forstner, J.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

Fotenopoulou, S.

S. Fotenopoulou, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 90, 107402 (2003).
[CrossRef]

Gibbs, H. M.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

Giessen, H.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

Hahn, E. L.

S. L. McCall and E. L. Hahn, Phys. Rev. 183, 457 (1969).
[CrossRef]

Haus, J.

Khitrova, G.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

Knorr, A.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

Koch, S. W.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

Kozhekin, A. E.

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. Malomed, Prog. Opt. 42, 93 (2001).
[CrossRef]

A. E. Kozhekin and G. Kurizki, Phys. Rev. Lett. 81, 3647 (1998).
[CrossRef]

A. E. Kozhekin and G. Kurizki, Phys. Rev. Lett. 74, 5020 (1995).
[CrossRef] [PubMed]

Kuhl, J.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

Kurizki, G.

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. Malomed, Prog. Opt. 42, 93 (2001).
[CrossRef]

M. Blaauboer, B. M. Malomed, and G. Kurizki, Phys. Rev. E 62, R57 (2000).
[CrossRef]

A. E. Kozhekin and G. Kurizki, Phys. Rev. Lett. 81, 3647 (1998).
[CrossRef]

A. E. Kozhekin and G. Kurizki, Phys. Rev. Lett. 74, 5020 (1995).
[CrossRef] [PubMed]

Liu, X.

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. Lett. 85, 1871 (2000).
[CrossRef] [PubMed]

Malomed, B.

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. Malomed, Prog. Opt. 42, 93 (2001).
[CrossRef]

Malomed, B. M.

M. Blaauboer, B. M. Malomed, and G. Kurizki, Phys. Rev. E 62, R57 (2000).
[CrossRef]

Mantsyzov, B. I.

McCall, S. L.

S. L. McCall and E. L. Hahn, Phys. Rev. 183, 457 (1969).
[CrossRef]

Nielsen, N. C.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

Opatrny, T.

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. Malomed, Prog. Opt. 42, 93 (2001).
[CrossRef]

Pendry, J. B.

J. B. Pendry and D. R. Smith, Phys. Today 57(6), 37 (2004).
[CrossRef]

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

Prineas, J. P.

Rossi, A. D.

A. D. Rossi, C. Conti, and S. Trillo, Phys. Rev. Lett. 81, 85 (1998).
[CrossRef]

Scalora, M.

Schaarschmidt, M.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

Segev, M.

J. W. Fleischer, M. Segev, N. K. Etremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

Shao, H. G.

Sibilia, C.

Silnikov, R. A.

Sipe, J. E.

C. M. de Sterke and J. E. Sipe, Prog. Opt. 33, 204 (1994).

Smith, D. R.

J. B. Pendry and D. R. Smith, Phys. Today 57(6), 37 (2004).
[CrossRef]

Soon, B. Y.

Soukoulis, C. M.

C. M. Soukoulis, Opt. Photonics News 17(6), 16 (2006) and references therein.
[CrossRef]

S. Fotenopoulou, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 90, 107402 (2003).
[CrossRef]

Trillo, S.

A. D. Rossi, C. Conti, and S. Trillo, Phys. Rev. Lett. 81, 85 (1998).
[CrossRef]

Veselago, V. G.

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Wise, F.

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. Lett. 85, 1871 (2000).
[CrossRef] [PubMed]

Wong, K. S.

Xiao, W. N.

Zhao, J.

Zhelikov, A.

Zhou, J. Y.

Zhu, J.

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

Nature (1)

J. W. Fleischer, M. Segev, N. K. Etremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

Opt. Express (3)

Opt. Lett. (1)

Opt. Photonics News (1)

C. M. Soukoulis, Opt. Photonics News 17(6), 16 (2006) and references therein.
[CrossRef]

Phys. Rev. (1)

S. L. McCall and E. L. Hahn, Phys. Rev. 183, 457 (1969).
[CrossRef]

Phys. Rev. B (1)

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Forstner, A. Knorr, S. W. Koch, G. Khitrova, H. M. Gibbs, and H. Giessen, Phys. Rev. B 70, 075306 (2004).
[CrossRef]

Phys. Rev. E (1)

M. Blaauboer, B. M. Malomed, and G. Kurizki, Phys. Rev. E 62, R57 (2000).
[CrossRef]

Phys. Rev. Lett. (6)

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. Lett. 85, 1871 (2000).
[CrossRef] [PubMed]

A. E. Kozhekin and G. Kurizki, Phys. Rev. Lett. 74, 5020 (1995).
[CrossRef] [PubMed]

A. E. Kozhekin and G. Kurizki, Phys. Rev. Lett. 81, 3647 (1998).
[CrossRef]

A. D. Rossi, C. Conti, and S. Trillo, Phys. Rev. Lett. 81, 85 (1998).
[CrossRef]

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

S. Fotenopoulou, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 90, 107402 (2003).
[CrossRef]

Phys. Today (1)

J. B. Pendry and D. R. Smith, Phys. Today 57(6), 37 (2004).
[CrossRef]

Prog. Opt. (2)

C. M. de Sterke and J. E. Sipe, Prog. Opt. 33, 204 (1994).

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. Malomed, Prog. Opt. 42, 93 (2001).
[CrossRef]

Sov. Phys. Usp. (1)

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Typical energy surfaces for FW ( Ω 0 2 ) and BW ( Ω h 2 ) after the pulse has entered the RABR at 300 τ 0 . Here Ω 0 = 6 , η = 0.1 , θ = 0 ° , τ 0 = 300 fs , and λ = 833 nm . The green lines represent the position of the RABR.

Fig. 2
Fig. 2

Minimum spot sizes of FW ( Ω 0 2 ) (dashed line) and BW ( Ω h 2 ) (dotted line) in the RABR for the parameters t = 380 τ 0 , z = 9.6 l c , t = 480 τ 0 , and z = 11.3 l c , respectively. The initial width (solid line) is 1.77 l c . Other parameters are the same as in Fig. 1.

Fig. 3
Fig. 3

Energy distribution of (a) FW ( Ω 0 2 ) and BW ( Ω h 2 ) at 320 τ 0 and (b) FW ( Ω 0 2 ) at 820 τ 0 and 1060 τ 0 in the RABR after the light field is switched on. Here θ = 5 ° ; the other parameters are the same as in Fig. 1.

Fig. 4
Fig. 4

Linear fit of FW ( Ω 0 2 ) at 1060 τ 0 in the RABR structure. The incidence angle (dashed line) is 5°, and the fitted negative refraction angle (solid line) is 2.31 ° .

Equations (2)

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( ± Ω 0 , h ( r , t ) z cos θ + Ω 0 , h ( r , t ) x sin θ ) ± i F 2 Ω 0 , h ( r , t ) + Ω 0 , h ( r , t ) t = i η π ( Q 1 Ω h , 0 ( r , t ) ) + P ( r , t ) ,
P t = w ( Ω 0 + Ω h ) , w t = Re [ ( Ω 0 + Ω h ) P * ] .

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