Abstract

Ultrashort light pulses propagating through a resonant photonic crystal can be reshaped to shorter duration output through self-induced transparency. The reshaping process is shown to result from the unique transmission behavior of light pulses through the photonic structure. Pulse compression and pulse merging, with which multipeak optical pulses can be evolved to give rise to a single-peak, high-quality transmitted pulse output, are obtained. The pulse propagation in a resonant photonic crystal is compared with that in a bulk atomic medium, which shows that the effect of pulse reshaping is much more powerful in the former than in the latter.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. E. Siegman, Lasers (University Science Books, 1986), Chap. 27-29.
  2. J. C. Diels and W. Rudolph, Ultrashort Laser Phenomena (Academic, 1996), Chap. 5.
  3. G. L. Lamb, Jr., "Analytical descriptions of ultrashort optical pulse propagation in a resonant medium," Rev. Mod. Phys. 43, 99-124 (1971), and references herein.
    [CrossRef]
  4. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987), Chap. 4.
  5. R. E. Slusher and H. M. Gibbs, "Self-induced transparency in atomic rubidium," Phys. Rev. A 5, 1634-1659 (1972).
    [CrossRef]
  6. E. L. Ivvchenko, A. I. Nesvizhskii, and S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Solid State 36, 1156-1161 (1994).
  7. W. Chen and D. L. Mills, "Gap solitons and the nonlinear optical response of superlattices," Phys. Rev. Lett. 58, 160-163 (1987).
    [CrossRef] [PubMed]
  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, 1627-1630 (1996).
    [CrossRef] [PubMed]
  9. 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 semisoftconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
    [CrossRef]
  10. B. I. Mantsyzov and R. A. Silnikov, "Oscillating gap 2π pulse in resonantly absorbing lattice," JETP Lett. 74, 456-459 (2001).
    [CrossRef]
  11. B. I. Mantsyzov and R. A. Sil'nikov, "Unstable excited and stable oscillating gap 2π pulses," J. Opt. Soc. Am. B 19, 2203-2207 (2002).
    [CrossRef]
  12. W. N. Xiao, J. Y. Zhou, and J. P. Prineas, "Storage of ultrashort optical pulses in a resonantly absorbing Bragg refector," Opt. Express 11, 3277-3283 (2003).
    [CrossRef] [PubMed]
  13. B. I. Mantsyzov, I. V. Sil'nikov, and J. S. Aitchison, "Dynamic control over optical solitons in a resonant photonic crystal," IEEE J. Sel. Top. Quantum Electron. 10, 893-899 (2004).
    [CrossRef]
  14. J. Y. Zhou, H. G. Shao, J. Zhao, X. Y. Yu, and K. S. Wong, "Storage and release of femtosecond laser pulses in a resonant photonic crystal," Opt. Lett. 30, 1560-1562 (2005).
    [CrossRef] [PubMed]
  15. G. Kurizki, A. E. Kozhekin, T. Opatmy, and B. A. Malomed, "Optical solitons in periodic media with resonant and off-resonant nonlinearities," in Progress in Optics, Vol. 42, E.Wolf, ed. (Elsevier, North-Holland, 2000), pp. 93-140.
    [CrossRef]
  16. 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).
  17. Y. S. Kivshar and B. A. Malomed, "Dynamics of solitons in nearly integrable systems," Rev. Mod. Phys. 61, 763-915 (1989).
    [CrossRef]
  18. M. HÄubner, 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, 4199-4202 (1996).
    [CrossRef]
  19. A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602-1-9 (2000).
    [CrossRef]
  20. H. G. Shao, J. Zhao, J. W. Wu, and J. Y. Zhou, "Moving and zero-velocity gap soliton in resonantly absorbing bragg reflector of finite atomic widths," Acta Phys. Sin. 54, 1420-1425 (2005).
  21. S. L. McCall and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969).
    [CrossRef]
  22. N. Schupper, H. Friedmann, and M. Matusovsky, "Propagation of high-intensity short resonant pulses in inhomogeneously broadened media," J. Opt. Soc. Am. B 16, 1127-1134 (1999).
    [CrossRef]
  23. 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 the active photonic band gap from Bragg-periodic semiconductor quantum wells," Appl. Phys. Lett. 81, 4332-4334 (2002).
    [CrossRef]
  24. N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
    [CrossRef]
  25. J. Shah, Ultrafast Spectroscopy of Semiconductor and Semiconductor Nanostructures (Springer-Verlag,1996).
  26. J. Cheng and J. Y. Zhou, "Effects of the near-dipole-dipole interaction on gap solitons in resonantly absorbing gratings," Phys. Rev. E 66, 036606-1-5 (2002).
    [CrossRef]

2005

J. Y. Zhou, H. G. Shao, J. Zhao, X. Y. Yu, and K. S. Wong, "Storage and release of femtosecond laser pulses in a resonant photonic crystal," Opt. Lett. 30, 1560-1562 (2005).
[CrossRef] [PubMed]

H. G. Shao, J. Zhao, J. W. Wu, and J. Y. Zhou, "Moving and zero-velocity gap soliton in resonantly absorbing bragg reflector of finite atomic widths," Acta Phys. Sin. 54, 1420-1425 (2005).

2004

B. I. Mantsyzov, I. V. Sil'nikov, and J. S. Aitchison, "Dynamic control over optical solitons in a resonant photonic crystal," IEEE J. Sel. Top. Quantum Electron. 10, 893-899 (2004).
[CrossRef]

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[CrossRef]

2003

2002

B. I. Mantsyzov and R. A. Sil'nikov, "Unstable excited and stable oscillating gap 2π pulses," J. Opt. Soc. Am. B 19, 2203-2207 (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, 036606-1-5 (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 the active photonic band gap from Bragg-periodic semiconductor quantum wells," Appl. Phys. Lett. 81, 4332-4334 (2002).
[CrossRef]

2001

B. I. Mantsyzov and R. A. Silnikov, "Oscillating gap 2π pulse in resonantly absorbing lattice," JETP Lett. 74, 456-459 (2001).
[CrossRef]

2000

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 semisoftconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602-1-9 (2000).
[CrossRef]

1999

1996

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1630 (1996).
[CrossRef] [PubMed]

M. HÄubner, 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, 4199-4202 (1996).
[CrossRef]

1994

E. L. Ivvchenko, A. I. Nesvizhskii, and S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Solid State 36, 1156-1161 (1994).

1989

Y. S. Kivshar and B. A. Malomed, "Dynamics of solitons in nearly integrable systems," Rev. Mod. Phys. 61, 763-915 (1989).
[CrossRef]

1987

W. Chen and D. L. Mills, "Gap solitons and the nonlinear optical response of superlattices," Phys. Rev. Lett. 58, 160-163 (1987).
[CrossRef] [PubMed]

1986

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).

1972

R. E. Slusher and H. M. Gibbs, "Self-induced transparency in atomic rubidium," Phys. Rev. A 5, 1634-1659 (1972).
[CrossRef]

1971

G. L. Lamb, Jr., "Analytical descriptions of ultrashort optical pulse propagation in a resonant medium," Rev. Mod. Phys. 43, 99-124 (1971), and references herein.
[CrossRef]

1969

S. L. McCall and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969).
[CrossRef]

Aitchison, J. S.

B. I. Mantsyzov, I. V. Sil'nikov, and J. S. Aitchison, "Dynamic control over optical solitons in a resonant photonic crystal," IEEE J. Sel. Top. Quantum Electron. 10, 893-899 (2004).
[CrossRef]

Allen, L.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987), Chap. 4.

Andreev, A. V.

A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602-1-9 (2000).
[CrossRef]

Balakin, A. V.

A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602-1-9 (2000).
[CrossRef]

Boucher, D.

A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602-1-9 (2000).
[CrossRef]

Chen, W.

W. Chen and D. L. Mills, "Gap solitons and the nonlinear optical response of superlattices," Phys. Rev. Lett. 58, 160-163 (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, 036606-1-5 (2002).
[CrossRef]

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, 1627-1630 (1996).
[CrossRef] [PubMed]

Diels, J. C.

J. C. Diels and W. Rudolph, Ultrashort Laser Phenomena (Academic, 1996), Chap. 5.

Eberly, J. H.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987), Chap. 4.

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, 1627-1630 (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 semisoftconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

Förstner, J.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[CrossRef]

Friedmann, H.

Gibbs, H. M.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[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 the active photonic band gap from Bragg-periodic semiconductor quantum wells," Appl. Phys. Lett. 81, 4332-4334 (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 semisoftconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

R. E. Slusher and H. M. Gibbs, "Self-induced transparency in atomic rubidium," Phys. Rev. A 5, 1634-1659 (1972).
[CrossRef]

Giessen, H.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[CrossRef]

Hahn, E. L.

S. L. McCall and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969).
[CrossRef]

HÄubner, M.

M. HÄubner, 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, 4199-4202 (1996).
[CrossRef]

Hey, R.

M. HÄubner, 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, 4199-4202 (1996).
[CrossRef]

Ivvchenko, E. L.

E. L. Ivvchenko, A. I. Nesvizhskii, and S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Solid State 36, 1156-1161 (1994).

Jorda, S.

E. L. Ivvchenko, A. I. Nesvizhskii, and S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Solid State 36, 1156-1161 (1994).

Khitova, G.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[CrossRef]

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 the active photonic band gap from Bragg-periodic semiconductor quantum wells," Appl. Phys. Lett. 81, 4332-4334 (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 semisoftconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

Kivshar, Y. S.

Y. S. Kivshar and B. A. Malomed, "Dynamics of solitons in nearly integrable systems," Rev. Mod. Phys. 61, 763-915 (1989).
[CrossRef]

Knorr, A.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[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 the active photonic band gap from Bragg-periodic semiconductor quantum wells," Appl. Phys. Lett. 81, 4332-4334 (2002).
[CrossRef]

M. HÄubner, 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, 4199-4202 (1996).
[CrossRef]

Koch, S. W.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[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 the active photonic band gap from Bragg-periodic semiconductor quantum wells," Appl. Phys. Lett. 81, 4332-4334 (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 semisoftconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

M. HÄubner, 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, 4199-4202 (1996).
[CrossRef]

Kozhekin, A. E.

G. Kurizki, A. E. Kozhekin, T. Opatmy, and B. A. Malomed, "Optical solitons in periodic media with resonant and off-resonant nonlinearities," in Progress in Optics, Vol. 42, E.Wolf, ed. (Elsevier, North-Holland, 2000), pp. 93-140.
[CrossRef]

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, 1627-1630 (1996).
[CrossRef] [PubMed]

Kuhl, J.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[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 the active photonic band gap from Bragg-periodic semiconductor quantum wells," Appl. Phys. Lett. 81, 4332-4334 (2002).
[CrossRef]

M. HÄubner, 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, 4199-4202 (1996).
[CrossRef]

Kurizki, G.

G. Kurizki, A. E. Kozhekin, T. Opatmy, and B. A. Malomed, "Optical solitons in periodic media with resonant and off-resonant nonlinearities," in Progress in Optics, Vol. 42, E.Wolf, ed. (Elsevier, North-Holland, 2000), pp. 93-140.
[CrossRef]

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).

Lamb, G. L.

G. L. Lamb, Jr., "Analytical descriptions of ultrashort optical pulse propagation in a resonant medium," Rev. Mod. Phys. 43, 99-124 (1971), and references herein.
[CrossRef]

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 semisoftconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

Malomed, B. A.

Y. S. Kivshar and B. A. Malomed, "Dynamics of solitons in nearly integrable systems," Rev. Mod. Phys. 61, 763-915 (1989).
[CrossRef]

G. Kurizki, A. E. Kozhekin, T. Opatmy, and B. A. Malomed, "Optical solitons in periodic media with resonant and off-resonant nonlinearities," in Progress in Optics, Vol. 42, E.Wolf, ed. (Elsevier, North-Holland, 2000), pp. 93-140.
[CrossRef]

Mantsyzov, B. I.

B. I. Mantsyzov, I. V. Sil'nikov, and J. S. Aitchison, "Dynamic control over optical solitons in a resonant photonic crystal," IEEE J. Sel. Top. Quantum Electron. 10, 893-899 (2004).
[CrossRef]

B. I. Mantsyzov and R. A. Sil'nikov, "Unstable excited and stable oscillating gap 2π pulses," J. Opt. Soc. Am. B 19, 2203-2207 (2002).
[CrossRef]

B. I. Mantsyzov and R. A. Silnikov, "Oscillating gap 2π pulse in resonantly absorbing lattice," JETP Lett. 74, 456-459 (2001).
[CrossRef]

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).

Masselin, P.

A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602-1-9 (2000).
[CrossRef]

Matusovsky, M.

McCall, S. L.

S. L. McCall and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969).
[CrossRef]

Mills, D. L.

W. Chen and D. L. Mills, "Gap solitons and the nonlinear optical response of superlattices," Phys. Rev. Lett. 58, 160-163 (1987).
[CrossRef] [PubMed]

Mouret, G.

A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602-1-9 (2000).
[CrossRef]

Nesvizhskii, A. I.

E. L. Ivvchenko, A. I. Nesvizhskii, and S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Solid State 36, 1156-1161 (1994).

Nielsen, N. C.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[CrossRef]

Opatmy, T.

G. Kurizki, A. E. Kozhekin, T. Opatmy, and B. A. Malomed, "Optical solitons in periodic media with resonant and off-resonant nonlinearities," in Progress in Optics, Vol. 42, E.Wolf, ed. (Elsevier, North-Holland, 2000), pp. 93-140.
[CrossRef]

Ozheredov, I. A.

A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602-1-9 (2000).
[CrossRef]

Ploog, K.

M. HÄubner, 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, 4199-4202 (1996).
[CrossRef]

Prineas, J. P.

W. N. Xiao, J. Y. Zhou, and J. P. Prineas, "Storage of ultrashort optical pulses in a resonantly absorbing Bragg refector," Opt. Express 11, 3277-3283 (2003).
[CrossRef] [PubMed]

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 the active photonic band gap from Bragg-periodic semiconductor quantum wells," Appl. Phys. Lett. 81, 4332-4334 (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 semisoftconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

Rudolph, W.

J. C. Diels and W. Rudolph, Ultrashort Laser Phenomena (Academic, 1996), Chap. 5.

Schaarschmidt, M.

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[CrossRef]

Schupper, N.

Shah, J.

J. Shah, Ultrafast Spectroscopy of Semiconductor and Semiconductor Nanostructures (Springer-Verlag,1996).

Shao, H. G.

J. Y. Zhou, H. G. Shao, J. Zhao, X. Y. Yu, and K. S. Wong, "Storage and release of femtosecond laser pulses in a resonant photonic crystal," Opt. Lett. 30, 1560-1562 (2005).
[CrossRef] [PubMed]

H. G. Shao, J. Zhao, J. W. Wu, and J. Y. Zhou, "Moving and zero-velocity gap soliton in resonantly absorbing bragg reflector of finite atomic widths," Acta Phys. Sin. 54, 1420-1425 (2005).

Shkurinov, A. P.

A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602-1-9 (2000).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Lasers (University Science Books, 1986), Chap. 27-29.

Silnikov, R. A.

B. I. Mantsyzov and R. A. Silnikov, "Oscillating gap 2π pulse in resonantly absorbing lattice," JETP Lett. 74, 456-459 (2001).
[CrossRef]

Sil'nikov, I. V.

B. I. Mantsyzov, I. V. Sil'nikov, and J. S. Aitchison, "Dynamic control over optical solitons in a resonant photonic crystal," IEEE J. Sel. Top. Quantum Electron. 10, 893-899 (2004).
[CrossRef]

Sil'nikov, R. A.

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, 1627-1630 (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, 1627-1630 (1996).
[CrossRef] [PubMed]

R. E. Slusher and H. M. Gibbs, "Self-induced transparency in atomic rubidium," Phys. Rev. A 5, 1634-1659 (1972).
[CrossRef]

Stroucken, T.

M. HÄubner, 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, 4199-4202 (1996).
[CrossRef]

Wong, K. S.

Wu, J. W.

H. G. Shao, J. Zhao, J. W. Wu, and J. Y. Zhou, "Moving and zero-velocity gap soliton in resonantly absorbing bragg reflector of finite atomic widths," Acta Phys. Sin. 54, 1420-1425 (2005).

Xiao, W. N.

Yu, X. Y.

Zhao, J.

J. Y. Zhou, H. G. Shao, J. Zhao, X. Y. Yu, and K. S. Wong, "Storage and release of femtosecond laser pulses in a resonant photonic crystal," Opt. Lett. 30, 1560-1562 (2005).
[CrossRef] [PubMed]

H. G. Shao, J. Zhao, J. W. Wu, and J. Y. Zhou, "Moving and zero-velocity gap soliton in resonantly absorbing bragg reflector of finite atomic widths," Acta Phys. Sin. 54, 1420-1425 (2005).

Zhou, J. Y.

H. G. Shao, J. Zhao, J. W. Wu, and J. Y. Zhou, "Moving and zero-velocity gap soliton in resonantly absorbing bragg reflector of finite atomic widths," Acta Phys. Sin. 54, 1420-1425 (2005).

J. Y. Zhou, H. G. Shao, J. Zhao, X. Y. Yu, and K. S. Wong, "Storage and release of femtosecond laser pulses in a resonant photonic crystal," Opt. Lett. 30, 1560-1562 (2005).
[CrossRef] [PubMed]

W. N. Xiao, J. Y. Zhou, and J. P. Prineas, "Storage of ultrashort optical pulses in a resonantly absorbing Bragg refector," Opt. Express 11, 3277-3283 (2003).
[CrossRef] [PubMed]

J. Cheng and J. Y. Zhou, "Effects of the near-dipole-dipole interaction on gap solitons in resonantly absorbing gratings," Phys. Rev. E 66, 036606-1-5 (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 the active photonic band gap from Bragg-periodic semiconductor quantum wells," Appl. Phys. Lett. 81, 4332-4334 (2002).
[CrossRef]

Acta Phys. Sin.

H. G. Shao, J. Zhao, J. W. Wu, and J. Y. Zhou, "Moving and zero-velocity gap soliton in resonantly absorbing bragg reflector of finite atomic widths," Acta Phys. Sin. 54, 1420-1425 (2005).

Appl. Phys. Lett.

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 the active photonic band gap from Bragg-periodic semiconductor quantum wells," Appl. Phys. Lett. 81, 4332-4334 (2002).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

B. I. Mantsyzov, I. V. Sil'nikov, and J. S. Aitchison, "Dynamic control over optical solitons in a resonant photonic crystal," IEEE J. Sel. Top. Quantum Electron. 10, 893-899 (2004).
[CrossRef]

J. Opt. Soc. Am. B

JETP Lett.

B. I. Mantsyzov and R. A. Silnikov, "Oscillating gap 2π pulse in resonantly absorbing lattice," JETP Lett. 74, 456-459 (2001).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev.

S. L. McCall and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969).
[CrossRef]

Phys. Rev. A

R. E. Slusher and H. M. Gibbs, "Self-induced transparency in atomic rubidium," Phys. Rev. A 5, 1634-1659 (1972).
[CrossRef]

Phys. Rev. B

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 semisoftconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, S. W. Koch, G. Khitova, H. M. Gibbs, and H. Giessen, "Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal," Phys. Rev. B 70, 075306-1-10 (2004).
[CrossRef]

Phys. Rev. E

A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602-1-9 (2000).
[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, 036606-1-5 (2002).
[CrossRef]

Phys. Rev. Lett.

M. HÄubner, 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, 4199-4202 (1996).
[CrossRef]

W. Chen and D. L. Mills, "Gap solitons and the nonlinear optical response of superlattices," Phys. Rev. Lett. 58, 160-163 (1987).
[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, 1627-1630 (1996).
[CrossRef] [PubMed]

Phys. Solid State

E. L. Ivvchenko, A. I. Nesvizhskii, and S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Solid State 36, 1156-1161 (1994).

Rev. Mod. Phys.

G. L. Lamb, Jr., "Analytical descriptions of ultrashort optical pulse propagation in a resonant medium," Rev. Mod. Phys. 43, 99-124 (1971), and references herein.
[CrossRef]

Y. S. Kivshar and B. A. Malomed, "Dynamics of solitons in nearly integrable systems," Rev. Mod. Phys. 61, 763-915 (1989).
[CrossRef]

Sov. Phys. JETP

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

G. Kurizki, A. E. Kozhekin, T. Opatmy, and B. A. Malomed, "Optical solitons in periodic media with resonant and off-resonant nonlinearities," in Progress in Optics, Vol. 42, E.Wolf, ed. (Elsevier, North-Holland, 2000), pp. 93-140.
[CrossRef]

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987), Chap. 4.

A. E. Siegman, Lasers (University Science Books, 1986), Chap. 27-29.

J. C. Diels and W. Rudolph, Ultrashort Laser Phenomena (Academic, 1996), Chap. 5.

J. Shah, Ultrafast Spectroscopy of Semiconductor and Semiconductor Nanostructures (Springer-Verlag,1996).

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.


Figures (11)

Fig. 1
Fig. 1

Dependence of the transmitted (solid line) and reflected pulse (dot-dashed line) area on the input pulse area from an RPC. Here τ = 0.8 and ξ = 20 .

Fig. 2
Fig. 2

Reflected (dashed curve) and transmitted (dash-dotted curve) output of a single-peak sech-shaped input optical pulse (solid curve) with pulse area 6 π through an RPC of infinitely thin atomic thickness sample. Here τ = 3 , Ω 0 = 2 , and (a) ξ = 20 , (b) ξ = 2 .

Fig. 3
Fig. 3

Dependence of the transmitted pulse for the sech-shaped input pulses of different pulse widths with the same intensity through the RPC. The input pulse widths are (a) 2, (b) 3, (c) 4, and (d) 5 times τ c . The dashed curves represent the input waveforms, and the solid curves represent the output waveforms. Here Ω 0 = 2 and ξ = 20 .

Fig. 4
Fig. 4

Evolution of an input optical pulse with pulse area 10.2 π through an RPC of an infinitely thin atomic thickness sample. The trace represents the population inversion inside the RPC. The input parameters are Ω + ( t ) = Ω 0 sech [ ( t t 0 ) 3 τ c ] + 0.7 Ω 0 sech [ ( t t 0 10 τ c ) 3 τ c ] , with Ω 0 = 2 , t 0 = 10 τ c . Other parameters are the same as in Fig. 3.

Fig. 5
Fig. 5

Input (solid curve) and the reflected (dashed curve) and transmitted (dash-dotted curve) output from the RPC with the same parameters as shown in Fig. 4. The upper plots (a) represent the electric field output, while the lower plots (b) represent the output intensities.

Fig. 6
Fig. 6

Evolution of an input optical pulse, with pulse parameters the same as those in Fig. 4, through an RPC with atomic thickness of 9.6 nm . The trace represents the population inversion inside the RPC.

Fig. 7
Fig. 7

Input (solid curve) and the reflected (dashed curve) and transmitted (dash-dotted curve) output from the RPC with atomic thickness of 9.6 nm ; the pulse parameters are the same as those shown in Fig. 6. The upper plots (a) represent the electric field output, while the lower plots (b) represent the output intensity.

Fig. 8
Fig. 8

Input (solid curve) and transmitted (dash-dotted curve) output from the RPC with a three-peak pulse as input. The input parameters are Ω + ( t ) = Ω 0 sech [ ( t t 0 ) t p ] + 1.5 Ω 0 sech [ ( t 1.3 t 0 ) t p ] + Ω 0 sech [ ( t 1.6 t 0 ) t p ] , with t p = 0.8 τ c , Ω 0 = 1.8 , t 0 = 10 τ c . Other parameters are the same as in Fig. 3.

Fig. 9
Fig. 9

Input (solid curve) and transmitted output from a bulk two-level atomic medium with a three-peak pulse as input. The input parameters are the same as in Fig. 8. The dash-dotted curve represents the pulse output at 4 l c , and the dashed curve represents the output at 16 l c .

Fig. 10
Fig. 10

Input (solid curve) and transmitted output (dashed curve) from the RPC with a three-peak pulse as input. The input parameters are Ω + ( t ) = Ω 0 sech [ ( t t 0 ) t p ] + 1.5 Ω + 0 sech [ ( t 1.7 t 0 ) t p ] + Ω + 0 sech [ ( t 2.4 t 0 ) t p ] , with τ p = 0.8 , Ω + 0 = 1.8 , t 0 = 10 τ c . Other parameters are the same as in Fig. 3.

Fig. 11
Fig. 11

Output pulse of the 560 fs pulse in the 60-layer In 0.04 Ga 0.96 As Gs As MQWs for increasing intensities. The lowest curves represent the 560 fs input pulse. Other curves represent the output pulse, which intensity of the input pulse are 0.6, 3.9, 12, 28, and 66 MW cm 2 , from bottom to top.

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

( 2 τ 2 2 ξ 2 ) Σ + = 2 τ P + 2 i η P η 2 Σ + ,
τ P = n Σ + i δ P ,
τ n = 1 2 ( P * Σ + + P Σ + * ) ,
Ω τ + + Ω ξ + = P , Ω τ Ω ξ = P ,
P τ = n ( Ω + + Ω ) , n τ = Re [ P * ( Ω + + Ω ) ] .
Ω + ( ξ = 0 , τ ) = Ω 0 f ( τ ) ,
Ω ( ξ = l , τ ) = 0 , Ω ± ( ξ , τ = 0 ) = 0 ,
n ( ξ , τ = 0 ) = 1 , P ( ξ , τ = 0 ) = 0 .

Metrics