Abstract

A practical method of slowing and stopping an incident ultra-short light pulse with a resonantly absorbing Bragg reflector is demonstrated numerically. It is shown that an incident laser pulse with suitable pulse area evolves from a given pulse waveform into a stable, spatially-localized oscillating or standing gap soliton. We show that multiple gap solitons can be simultaneously spatially localized, resulting in efficient optical energy conversion and storage in the resonantly absorbing Bragg structure as atomically coherent states.

© 2003 Optical Society of America

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  1. R. E. Slusher and B. J. Eggleton (editors), Nonlinear Photonic Crystals (Springer-Verlag, Berlin, Heidelberg, 2003).
  2. B. I. Mantsyzov and R. N. Kuz’min, “Coherent interaction of light with a discrete periodic resonant medium,” Sov. Phys. JETP 64, 37–44 (1986).
  3. W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical response of superlattices,” Phys. Rev. Lett. 58, 160 (1987).
    [Crossref] [PubMed]
  4. A. Kozhekin and G. Kurizki,“Self-induced transparency in Bragg reflectors: gap solitons near absorption resonances,” Phys. Rev. Lett. 74, 5020 (1995)
    [Crossref] [PubMed]
  5. A. E. Kozhekin and G. Kurizki,“Standing and moving gap solitons in resonantly absorbing gratings,” Phys. Rev. Lett. 81, 3647 (1998).
    [Crossref]
  6. G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. A. Malomed, “Optical solitons in periodic media with resonant and off-resonant nonlinearities,” Progress in Optics 42, ed. E. Wolf, 93–140 (2001).
    [Crossref]
  7. C. Conti, G. Assanto, and S. Trillo, “Gap solitons and slow light,” J. Nonlinear Opt. Phys. & Mat. 11, 239–259 (2002).
    [Crossref]
  8. B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, “Bragg grating solitons,” Phys. Rev. Lett. 76, 1627 (1996).
    [Crossref] [PubMed]
  9. N. G. R. Broderick, P. Millar, D. J. Richardson, J. S. Aitchson, R. De La Rue, and T. Krauss, “Spectral features associated with nonlinear pulse compression in Bragg gratings,” Opt. Lett. 25, 740 (2000).
    [Crossref]
  10. N. G. R. Broderick, D. J. Richarson, and M. Ibsen, “Nonlinear switching in a 20-cm-long fiber Bragg grating,” Opt. Lett. 25, 536 (2000).
    [Crossref]
  11. B. I. Mantsyzov, “Gap 2π pulse with an inhomogeneously broadened line and an oscillating solitary wave,” Phys. Rev. A 51, 4939 (1995).
    [Crossref] [PubMed]
  12. N. Akozbek and S. John, “Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,” Phys. Rev. E 58, 3876 (1998).
    [Crossref]
  13. M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
    [Crossref]
  14. J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, and A. Knorr, “Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,” Appl. Phys. Lett. 81, 4332 (2002).
    [Crossref]
  15. J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, “Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,” Phys. Rev. B,  61, 13863 (2000).
    [Crossref]
  16. D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783 (2001).
    [Crossref] [PubMed]
  17. V. G. Arkhipkin and I. V. Timofeev, “Electromagnetically induced transparency: writing, storing, and reading short optical pulses,” JETP Letters 76, 66 (2002).
    [Crossref]
  18. S.L. McCall and E.L. Hahn, Phys. Rev.183, 457 (1969).
    [Crossref]
  19. P. Meystre and M. Sagent III, Elements of Quantum Optics (Springer-Verlag, World Publishing Corp., 1992).
  20. E. L. Ivchenko, A. I. Nesvizhskii, and S. Jorda, “Bragg reflection of light from quantum wells” Fiz. Tverd. Tela (St. Petersburg)  36, 2118 (1994) [Phys. Solid State 36, 1156 (1994)].
  21. M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, “Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,” Phys. Rev. Lett. 76, 4199 (1996).
    [Crossref] [PubMed]
  22. B. I. Mantsyzov and R. A. Sil’nikov, “Oscillating gap 2π pulse in resonantly absorbing lattice,” JETP Letters 74, 456–459 (2001).
    [Crossref]
  23. B. I. Mantsyzov and R. A. Silnikov, “Unstable excited and stable oscillating gap 2π pulses,” J. Opt. Soc. Am. B19, 2203–2207 (2002).
  24. P. Tran, “Optical switching with a nonlinear photonic crystal: a numerical study,” Opt. Lett. 21, 1138–1140 (1996).
    [Crossref] [PubMed]
  25. A. Andre and M.D. Lukin, “Manupulating light pulses via dynamically controlled photonic band gap,” Phys. Rev. Lett. 89, 143602 (2002).
    [Crossref] [PubMed]
  26. S. Chi, B. Luo, and H.Y. Tseng, “Ultrashort Bragg soliton in a fiber Bragg grating,” Opt. Comm. 206, 115–121 (2002).
    [Crossref]
  27. J. Cheng and J. Y. Zhou, “Effects of the near-dipole-dipole interaction on gap solitons in resonantly absorbing gratings,” Phys. Rev. E 66, 036606 (2002).
    [Crossref]

2002 (7)

C. Conti, G. Assanto, and S. Trillo, “Gap solitons and slow light,” J. Nonlinear Opt. Phys. & Mat. 11, 239–259 (2002).
[Crossref]

J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, and A. Knorr, “Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,” Appl. Phys. Lett. 81, 4332 (2002).
[Crossref]

V. G. Arkhipkin and I. V. Timofeev, “Electromagnetically induced transparency: writing, storing, and reading short optical pulses,” JETP Letters 76, 66 (2002).
[Crossref]

B. I. Mantsyzov and R. A. Silnikov, “Unstable excited and stable oscillating gap 2π pulses,” J. Opt. Soc. Am. B19, 2203–2207 (2002).

A. Andre and M.D. Lukin, “Manupulating light pulses via dynamically controlled photonic band gap,” Phys. Rev. Lett. 89, 143602 (2002).
[Crossref] [PubMed]

S. Chi, B. Luo, and H.Y. Tseng, “Ultrashort Bragg soliton in a fiber Bragg grating,” Opt. Comm. 206, 115–121 (2002).
[Crossref]

J. Cheng and J. Y. Zhou, “Effects of the near-dipole-dipole interaction on gap solitons in resonantly absorbing gratings,” Phys. Rev. E 66, 036606 (2002).
[Crossref]

2001 (3)

B. I. Mantsyzov and R. A. Sil’nikov, “Oscillating gap 2π pulse in resonantly absorbing lattice,” JETP Letters 74, 456–459 (2001).
[Crossref]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783 (2001).
[Crossref] [PubMed]

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. A. Malomed, “Optical solitons in periodic media with resonant and off-resonant nonlinearities,” Progress in Optics 42, ed. E. Wolf, 93–140 (2001).
[Crossref]

2000 (3)

1999 (1)

M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
[Crossref]

1998 (2)

N. Akozbek and S. John, “Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,” Phys. Rev. E 58, 3876 (1998).
[Crossref]

A. E. Kozhekin and G. Kurizki,“Standing and moving gap solitons in resonantly absorbing gratings,” Phys. Rev. Lett. 81, 3647 (1998).
[Crossref]

1996 (3)

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, “Bragg grating solitons,” Phys. Rev. Lett. 76, 1627 (1996).
[Crossref] [PubMed]

M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, “Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,” Phys. Rev. Lett. 76, 4199 (1996).
[Crossref] [PubMed]

P. Tran, “Optical switching with a nonlinear photonic crystal: a numerical study,” Opt. Lett. 21, 1138–1140 (1996).
[Crossref] [PubMed]

1995 (2)

B. I. Mantsyzov, “Gap 2π pulse with an inhomogeneously broadened line and an oscillating solitary wave,” Phys. Rev. A 51, 4939 (1995).
[Crossref] [PubMed]

A. Kozhekin and G. Kurizki,“Self-induced transparency in Bragg reflectors: gap solitons near absorption resonances,” Phys. Rev. Lett. 74, 5020 (1995)
[Crossref] [PubMed]

1994 (1)

E. L. Ivchenko, A. I. Nesvizhskii, and S. Jorda, “Bragg reflection of light from quantum wells” Fiz. Tverd. Tela (St. Petersburg)  36, 2118 (1994) [Phys. Solid State 36, 1156 (1994)].

1987 (1)

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical response of superlattices,” Phys. Rev. Lett. 58, 160 (1987).
[Crossref] [PubMed]

1986 (1)

B. I. Mantsyzov and R. N. Kuz’min, “Coherent interaction of light with a discrete periodic resonant medium,” Sov. Phys. JETP 64, 37–44 (1986).

Aitchson, J. S.

Akozbek, N.

N. Akozbek and S. John, “Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,” Phys. Rev. E 58, 3876 (1998).
[Crossref]

Andre, A.

A. Andre and M.D. Lukin, “Manupulating light pulses via dynamically controlled photonic band gap,” Phys. Rev. Lett. 89, 143602 (2002).
[Crossref] [PubMed]

Arkhipkin, V. G.

V. G. Arkhipkin and I. V. Timofeev, “Electromagnetically induced transparency: writing, storing, and reading short optical pulses,” JETP Letters 76, 66 (2002).
[Crossref]

Assanto, G.

C. Conti, G. Assanto, and S. Trillo, “Gap solitons and slow light,” J. Nonlinear Opt. Phys. & Mat. 11, 239–259 (2002).
[Crossref]

Brick, P.

M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
[Crossref]

Broderick, N. G. R.

Chen, W.

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical response of superlattices,” Phys. Rev. Lett. 58, 160 (1987).
[Crossref] [PubMed]

Cheng, J.

J. Cheng and J. Y. Zhou, “Effects of the near-dipole-dipole interaction on gap solitons in resonantly absorbing gratings,” Phys. Rev. E 66, 036606 (2002).
[Crossref]

Chi, S.

S. Chi, B. Luo, and H.Y. Tseng, “Ultrashort Bragg soliton in a fiber Bragg grating,” Opt. Comm. 206, 115–121 (2002).
[Crossref]

Conti, C.

C. Conti, G. Assanto, and S. Trillo, “Gap solitons and slow light,” J. Nonlinear Opt. Phys. & Mat. 11, 239–259 (2002).
[Crossref]

De La Rue, R.

de Sterke, C. M.

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, “Bragg grating solitons,” Phys. Rev. Lett. 76, 1627 (1996).
[Crossref] [PubMed]

Eggleton, B. J.

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, “Bragg grating solitons,” Phys. Rev. Lett. 76, 1627 (1996).
[Crossref] [PubMed]

Ell, C.

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, “Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,” Phys. Rev. B,  61, 13863 (2000).
[Crossref]

M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
[Crossref]

Fleischhauer, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783 (2001).
[Crossref] [PubMed]

Gibbs, H. M.

J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, and A. Knorr, “Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,” Appl. Phys. Lett. 81, 4332 (2002).
[Crossref]

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, “Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,” Phys. Rev. B,  61, 13863 (2000).
[Crossref]

Gibbs, H.M.

M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
[Crossref]

Hahn, E.L.

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

Hey, R.

M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, “Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,” Phys. Rev. Lett. 76, 4199 (1996).
[Crossref] [PubMed]

Hübner, M.

M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
[Crossref]

M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, “Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,” Phys. Rev. Lett. 76, 4199 (1996).
[Crossref] [PubMed]

Ibsen, M.

Ivchenko, E. L.

E. L. Ivchenko, A. I. Nesvizhskii, and S. Jorda, “Bragg reflection of light from quantum wells” Fiz. Tverd. Tela (St. Petersburg)  36, 2118 (1994) [Phys. Solid State 36, 1156 (1994)].

John, S.

N. Akozbek and S. John, “Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,” Phys. Rev. E 58, 3876 (1998).
[Crossref]

Jorda, S.

E. L. Ivchenko, A. I. Nesvizhskii, and S. Jorda, “Bragg reflection of light from quantum wells” Fiz. Tverd. Tela (St. Petersburg)  36, 2118 (1994) [Phys. Solid State 36, 1156 (1994)].

Khitrova, G.

J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, and A. Knorr, “Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,” Appl. Phys. Lett. 81, 4332 (2002).
[Crossref]

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, “Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,” Phys. Rev. B,  61, 13863 (2000).
[Crossref]

M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
[Crossref]

Knorr, A.

J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, and A. Knorr, “Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,” Appl. Phys. Lett. 81, 4332 (2002).
[Crossref]

M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, “Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,” Phys. Rev. Lett. 76, 4199 (1996).
[Crossref] [PubMed]

Koch, S. W.

J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, and A. Knorr, “Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,” Appl. Phys. Lett. 81, 4332 (2002).
[Crossref]

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, “Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,” Phys. Rev. B,  61, 13863 (2000).
[Crossref]

M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, “Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,” Phys. Rev. Lett. 76, 4199 (1996).
[Crossref] [PubMed]

Koch, S.W.

M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
[Crossref]

Kozhekin, A.

A. Kozhekin and G. Kurizki,“Self-induced transparency in Bragg reflectors: gap solitons near absorption resonances,” Phys. Rev. Lett. 74, 5020 (1995)
[Crossref] [PubMed]

Kozhekin, A. E.

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. A. Malomed, “Optical solitons in periodic media with resonant and off-resonant nonlinearities,” Progress in Optics 42, ed. E. Wolf, 93–140 (2001).
[Crossref]

A. E. Kozhekin and G. Kurizki,“Standing and moving gap solitons in resonantly absorbing gratings,” Phys. Rev. Lett. 81, 3647 (1998).
[Crossref]

Krauss, T.

Krug, P. A.

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, “Bragg grating solitons,” Phys. Rev. Lett. 76, 1627 (1996).
[Crossref] [PubMed]

Kuhl, J.

J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, and A. Knorr, “Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,” Appl. Phys. Lett. 81, 4332 (2002).
[Crossref]

M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, “Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,” Phys. Rev. Lett. 76, 4199 (1996).
[Crossref] [PubMed]

Kurizki, G.

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. A. Malomed, “Optical solitons in periodic media with resonant and off-resonant nonlinearities,” Progress in Optics 42, ed. E. Wolf, 93–140 (2001).
[Crossref]

A. E. Kozhekin and G. Kurizki,“Standing and moving gap solitons in resonantly absorbing gratings,” Phys. Rev. Lett. 81, 3647 (1998).
[Crossref]

A. Kozhekin and G. Kurizki,“Self-induced transparency in Bragg reflectors: gap solitons near absorption resonances,” Phys. Rev. Lett. 74, 5020 (1995)
[Crossref] [PubMed]

Kuz’min, R. N.

B. I. Mantsyzov and R. N. Kuz’min, “Coherent interaction of light with a discrete periodic resonant medium,” Sov. Phys. JETP 64, 37–44 (1986).

Lee, E. S.

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, “Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,” Phys. Rev. B,  61, 13863 (2000).
[Crossref]

Lee, E.S.

M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
[Crossref]

Lukin, M. D.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783 (2001).
[Crossref] [PubMed]

Lukin, M.D.

A. Andre and M.D. Lukin, “Manupulating light pulses via dynamically controlled photonic band gap,” Phys. Rev. Lett. 89, 143602 (2002).
[Crossref] [PubMed]

Luo, B.

S. Chi, B. Luo, and H.Y. Tseng, “Ultrashort Bragg soliton in a fiber Bragg grating,” Opt. Comm. 206, 115–121 (2002).
[Crossref]

Mair, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783 (2001).
[Crossref] [PubMed]

Malomed, B. A.

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. A. Malomed, “Optical solitons in periodic media with resonant and off-resonant nonlinearities,” Progress in Optics 42, ed. E. Wolf, 93–140 (2001).
[Crossref]

Mantsyzov, B. I.

B. I. Mantsyzov and R. A. Silnikov, “Unstable excited and stable oscillating gap 2π pulses,” J. Opt. Soc. Am. B19, 2203–2207 (2002).

B. I. Mantsyzov and R. A. Sil’nikov, “Oscillating gap 2π pulse in resonantly absorbing lattice,” JETP Letters 74, 456–459 (2001).
[Crossref]

B. I. Mantsyzov, “Gap 2π pulse with an inhomogeneously broadened line and an oscillating solitary wave,” Phys. Rev. A 51, 4939 (1995).
[Crossref] [PubMed]

B. I. Mantsyzov and R. N. Kuz’min, “Coherent interaction of light with a discrete periodic resonant medium,” Sov. Phys. JETP 64, 37–44 (1986).

McCall, S.L.

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

Meystre, P.

P. Meystre and M. Sagent III, Elements of Quantum Optics (Springer-Verlag, World Publishing Corp., 1992).

Millar, P.

Mills, D. L.

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical response of superlattices,” Phys. Rev. Lett. 58, 160 (1987).
[Crossref] [PubMed]

Nesvizhskii, A. I.

E. L. Ivchenko, A. I. Nesvizhskii, and S. Jorda, “Bragg reflection of light from quantum wells” Fiz. Tverd. Tela (St. Petersburg)  36, 2118 (1994) [Phys. Solid State 36, 1156 (1994)].

Opatrny, T.

G. Kurizki, A. E. Kozhekin, T. Opatrny, and B. A. Malomed, “Optical solitons in periodic media with resonant and off-resonant nonlinearities,” Progress in Optics 42, ed. E. Wolf, 93–140 (2001).
[Crossref]

Phillips, D. F.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783 (2001).
[Crossref] [PubMed]

Ploog, K.

M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, “Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,” Phys. Rev. Lett. 76, 4199 (1996).
[Crossref] [PubMed]

Prineas, J.

M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
[Crossref]

Prineas, J. P.

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, “Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,” Phys. Rev. B,  61, 13863 (2000).
[Crossref]

Prineas, J.P.

J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, and A. Knorr, “Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,” Appl. Phys. Lett. 81, 4332 (2002).
[Crossref]

Richardson, D. J.

Richarson, D. J.

Sagent III, M.

P. Meystre and M. Sagent III, Elements of Quantum Optics (Springer-Verlag, World Publishing Corp., 1992).

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B. I. Mantsyzov and R. A. Sil’nikov, “Oscillating gap 2π pulse in resonantly absorbing lattice,” JETP Letters 74, 456–459 (2001).
[Crossref]

Silnikov, R. A.

B. I. Mantsyzov and R. A. Silnikov, “Unstable excited and stable oscillating gap 2π pulses,” J. Opt. Soc. Am. B19, 2203–2207 (2002).

Sipe, J. E.

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, “Bragg grating solitons,” Phys. Rev. Lett. 76, 1627 (1996).
[Crossref] [PubMed]

Slusher, R. E.

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, “Bragg grating solitons,” Phys. Rev. Lett. 76, 1627 (1996).
[Crossref] [PubMed]

Stroucken, T.

M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, “Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,” Phys. Rev. Lett. 76, 4199 (1996).
[Crossref] [PubMed]

Timofeev, I. V.

V. G. Arkhipkin and I. V. Timofeev, “Electromagnetically induced transparency: writing, storing, and reading short optical pulses,” JETP Letters 76, 66 (2002).
[Crossref]

Tran, P.

Trillo, S.

C. Conti, G. Assanto, and S. Trillo, “Gap solitons and slow light,” J. Nonlinear Opt. Phys. & Mat. 11, 239–259 (2002).
[Crossref]

Tseng, H.Y.

S. Chi, B. Luo, and H.Y. Tseng, “Ultrashort Bragg soliton in a fiber Bragg grating,” Opt. Comm. 206, 115–121 (2002).
[Crossref]

Walsworth, R. L.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783 (2001).
[Crossref] [PubMed]

Zhou, J. Y.

J. Cheng and J. Y. Zhou, “Effects of the near-dipole-dipole interaction on gap solitons in resonantly absorbing gratings,” Phys. Rev. E 66, 036606 (2002).
[Crossref]

Zhou, J.Y.

J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, and A. Knorr, “Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,” Appl. Phys. Lett. 81, 4332 (2002).
[Crossref]

Appl. Phys. Lett. (1)

J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, and A. Knorr, “Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,” Appl. Phys. Lett. 81, 4332 (2002).
[Crossref]

Fiz. Tverd. Tela (1)

E. L. Ivchenko, A. I. Nesvizhskii, and S. Jorda, “Bragg reflection of light from quantum wells” Fiz. Tverd. Tela (St. Petersburg)  36, 2118 (1994) [Phys. Solid State 36, 1156 (1994)].

J. Nonlinear Opt. Phys. & Mat. (1)

C. Conti, G. Assanto, and S. Trillo, “Gap solitons and slow light,” J. Nonlinear Opt. Phys. & Mat. 11, 239–259 (2002).
[Crossref]

J. Opt. Soc. Am. (1)

B. I. Mantsyzov and R. A. Silnikov, “Unstable excited and stable oscillating gap 2π pulses,” J. Opt. Soc. Am. B19, 2203–2207 (2002).

JETP Letters (2)

B. I. Mantsyzov and R. A. Sil’nikov, “Oscillating gap 2π pulse in resonantly absorbing lattice,” JETP Letters 74, 456–459 (2001).
[Crossref]

V. G. Arkhipkin and I. V. Timofeev, “Electromagnetically induced transparency: writing, storing, and reading short optical pulses,” JETP Letters 76, 66 (2002).
[Crossref]

Opt. Comm. (1)

S. Chi, B. Luo, and H.Y. Tseng, “Ultrashort Bragg soliton in a fiber Bragg grating,” Opt. Comm. 206, 115–121 (2002).
[Crossref]

Opt. Lett. (3)

Phys. Rev. A (1)

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[Crossref] [PubMed]

Phys. Rev. B (1)

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, “Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,” Phys. Rev. B,  61, 13863 (2000).
[Crossref]

Phys. Rev. E (2)

N. Akozbek and S. John, “Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,” Phys. Rev. E 58, 3876 (1998).
[Crossref]

J. Cheng and J. Y. Zhou, “Effects of the near-dipole-dipole interaction on gap solitons in resonantly absorbing gratings,” Phys. Rev. E 66, 036606 (2002).
[Crossref]

Phys. Rev. Lett. (8)

A. Andre and M.D. Lukin, “Manupulating light pulses via dynamically controlled photonic band gap,” Phys. Rev. Lett. 89, 143602 (2002).
[Crossref] [PubMed]

M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, “Optical lattices achieved by excitons in periodic quantum well structures,” Phys. Rev. Lett. 83, 2841 (1999).
[Crossref]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783 (2001).
[Crossref] [PubMed]

M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, “Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,” Phys. Rev. Lett. 76, 4199 (1996).
[Crossref] [PubMed]

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, “Bragg grating solitons,” Phys. Rev. Lett. 76, 1627 (1996).
[Crossref] [PubMed]

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical response of superlattices,” Phys. Rev. Lett. 58, 160 (1987).
[Crossref] [PubMed]

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[Crossref]

Sov. Phys. JETP (1)

B. I. Mantsyzov and R. N. Kuz’min, “Coherent interaction of light with a discrete periodic resonant medium,” Sov. Phys. JETP 64, 37–44 (1986).

Other (3)

R. E. Slusher and B. J. Eggleton (editors), Nonlinear Photonic Crystals (Springer-Verlag, Berlin, Heidelberg, 2003).

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

P. Meystre and M. Sagent III, Elements of Quantum Optics (Springer-Verlag, World Publishing Corp., 1992).

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Figures (4)

Fig. 1.
Fig. 1.

Contour plot for the inversion n(x, t) for varying pulse amplitudes Ω0+. Time t is on vertical axis, position in the structure x is on the axis, and n is out of the page. The black corresponds to n=1, i.e. population inversion, and the white to n=-1, two-level systems in ground state. Thus the dark line tracks the localized excitation through the structure in spacetime. (a) Ω0+=1.5;(b) Ω0+=3.6; (c) Ω0+=4.3; (d) Ω0+=8.4.τ 0=0.5 for all plots. The incident pulses all have sech profiles.

Fig. 2.
Fig. 2.

Distributions for n(x), P(x), Ω0±(x) at t=90 within the structure in Fig. 1(b).

Fig. 3.
Fig. 3.

(a):Stability of a decelerating soliton against an added stochastic perturbation. Plot layout is the same as described in Fig. 1. All parameters are the same as in Fig. 1 except for the added stochastic perturbation. (b)The effects of the transverse and longitude relaxations on the existence of a decelerating soliton; here T 1=T 2=100τc and initial conditions are the same as in Fig. 1 except that Ω0+=4.0.

Fig. 4.
Fig. 4.

Collisions of two serially incident sech pulses. Plot layout is the same as described in Fig. 1. (a): Ω +(t)=3.6sech[(t-10)/0.5]+3.6sech[(t-30)/0.5]; (b): Ω +(t)=3.6sech[(t-10)/0.5]+4.5sech[(t-50)/0.5].

Equations (5)

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P ( x , t ) = Ω t ± ( x , t ) ± Ω x ± ( x , t ) ,
P t ( x , t ) = n ( x , t ) ( Ω + ( x , t ) + Ω ( x , t ) ) ,
n t ( x , t ) = Re ( P * ( x , t ) ( Ω + ( x , t ) + Ω ( x , t ) ) ) ,
Ω + ( x = 0 , t ) = Ω 0 + ( t ) , Ω ( x = l , t ) = 0 ,
Ω ± ( x , t = 0 ) = 0 , P ( x , t = 0 ) = 0 , n ( x , t = 0 ) = 1 .

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