Abstract

We investigate the possibilities of the backward four-wave coupling based on the nonlocal photorefractive response for the nonlinear deceleration of light pulses. The presence of an additional external variable parameter—the pump intensity ratio—allows to improve the output characteristics of the decelerated pulses compared to those typical of the two-wave coupling. In particular, large delay times of the output pulses can be achieved without their strong amplification. This positive distinctive feature of the pulse deceleration occurs far from threshold of the mirrorless optical oscillation.

© 2009 Optical Society of America

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  1. L. V. Hau, S. E. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397, 594-598 (1999).
    [CrossRef]
  2. C. Liu, Z. Dutton, C. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409, 490-493 (2001).
    [CrossRef] [PubMed]
  3. M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301, 200-202 (2003).
    [CrossRef] [PubMed]
  4. M. O. Scully and G. R. Welch, “Slow, stopped and stored light,” Phys. World 17, 31-34 (2004).
  5. Z. Dutton and L. V. Hau, “Storing and processing optical information with ultraslow light in Bose-Einstein condensates,” Phys. Rev. A 70, 053831 (2004).
    [CrossRef]
  6. S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50, 36-42 (1997).
    [CrossRef]
  7. D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783-786 (2001).
    [CrossRef] [PubMed]
  8. A. Turukhin, V. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, “Observation of ultraslow and stored light pulses in a solid,” Phys. Rev. Lett. 88, 023602 (2002).
    [CrossRef] [PubMed]
  9. Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
    [CrossRef] [PubMed]
  10. A. Schweinsberg, N. N. Lepeshkin, M. S. Bigelow, R. W. Boyd, and S. Jarabo, “Observation of superluminal and slow light propagation in erbium-doped optical fiber,” Europhys. Lett. 73, 218-224 (2006).
    [CrossRef]
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    [CrossRef] [PubMed]
  12. A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, and K. Buse, “Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero,” Phys. Rev. Lett. 93, 243604 (2004).
    [CrossRef]
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    [CrossRef] [PubMed]
  14. B. I. Sturman, E. V. Podivilov, and M. V. Gorkunov, “Photorefractive manipulation of light pulses,” Phys. Rev. A 77, 063808 (2008).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  20. P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, “Threshold behavior of semi-linear photorefractive oscillator,” Eur. Phys. J. D 39, 445-451 (2006).
    [CrossRef]

2009

B. Sturman, E. Podivilov, and M. Gorkunov, “Deceleration and shape-transformation of light pulses during phase conjugation in photorefractive media,” Appl. Phys. B: Photophys. Laser Chem. 95, 545-549 (2009).
[CrossRef]

2008

B. I. Sturman, E. V. Podivilov, and M. V. Gorkunov, “Photorefractive manipulation of light pulses,” Phys. Rev. A 77, 063808 (2008).
[CrossRef]

2006

A. Schweinsberg, N. N. Lepeshkin, M. S. Bigelow, R. W. Boyd, and S. Jarabo, “Observation of superluminal and slow light propagation in erbium-doped optical fiber,” Europhys. Lett. 73, 218-224 (2006).
[CrossRef]

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, “Threshold behavior of semi-linear photorefractive oscillator,” Eur. Phys. J. D 39, 445-451 (2006).
[CrossRef]

2005

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

2004

M. O. Scully and G. R. Welch, “Slow, stopped and stored light,” Phys. World 17, 31-34 (2004).

Z. Dutton and L. V. Hau, “Storing and processing optical information with ultraslow light in Bose-Einstein condensates,” Phys. Rev. A 70, 053831 (2004).
[CrossRef]

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, and K. Buse, “Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero,” Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

G. Zhang, F. Bo, R. Dong, and J. Xu, “Phase-coupling-induced ultraslow light propagation in solids at room temperature,” Phys. Rev. Lett. 93, 133903 (2004).
[CrossRef] [PubMed]

2003

E. Podivilov, B. Sturman, A. Shumelyuk, and S. Odoulov, “Light pulses slowing down up to 0.025 cm/s by photorefractive two-wave coupling,” Phys. Rev. Lett. 91, 083902 (2003).
[CrossRef] [PubMed]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301, 200-202 (2003).
[CrossRef] [PubMed]

2002

A. Turukhin, V. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, “Observation of ultraslow and stored light pulses in a solid,” Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

2001

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783-786 (2001).
[CrossRef] [PubMed]

C. Liu, Z. Dutton, C. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409, 490-493 (2001).
[CrossRef] [PubMed]

1999

L. V. Hau, S. E. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397, 594-598 (1999).
[CrossRef]

1997

S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50, 36-42 (1997).
[CrossRef]

1984

M. Cronin-Golomb, B. Fisher, J. O. White, and A. Yariv, “Theory and applications of four-wave mixing in photorefractive media,” IEEE J. Quantum Electron. 20, 12-30 (1984).
[CrossRef]

1977

Behroozi, C.

C. Liu, Z. Dutton, C. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409, 490-493 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397, 594-598 (1999).
[CrossRef]

Bigelow, M. S.

A. Schweinsberg, N. N. Lepeshkin, M. S. Bigelow, R. W. Boyd, and S. Jarabo, “Observation of superluminal and slow light propagation in erbium-doped optical fiber,” Europhys. Lett. 73, 218-224 (2006).
[CrossRef]

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301, 200-202 (2003).
[CrossRef] [PubMed]

Bo, F.

G. Zhang, F. Bo, R. Dong, and J. Xu, “Phase-coupling-induced ultraslow light propagation in solids at room temperature,” Phys. Rev. Lett. 93, 133903 (2004).
[CrossRef] [PubMed]

Boyd, R. W.

A. Schweinsberg, N. N. Lepeshkin, M. S. Bigelow, R. W. Boyd, and S. Jarabo, “Observation of superluminal and slow light propagation in erbium-doped optical fiber,” Europhys. Lett. 73, 218-224 (2006).
[CrossRef]

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301, 200-202 (2003).
[CrossRef] [PubMed]

Buse, K.

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, and K. Buse, “Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero,” Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

Cronin-Golomb, M.

M. Cronin-Golomb, B. Fisher, J. O. White, and A. Yariv, “Theory and applications of four-wave mixing in photorefractive media,” IEEE J. Quantum Electron. 20, 12-30 (1984).
[CrossRef]

Dong, R.

G. Zhang, F. Bo, R. Dong, and J. Xu, “Phase-coupling-induced ultraslow light propagation in solids at room temperature,” Phys. Rev. Lett. 93, 133903 (2004).
[CrossRef] [PubMed]

Dutton, Z.

Z. Dutton and L. V. Hau, “Storing and processing optical information with ultraslow light in Bose-Einstein condensates,” Phys. Rev. A 70, 053831 (2004).
[CrossRef]

C. Liu, Z. Dutton, C. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409, 490-493 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397, 594-598 (1999).
[CrossRef]

Fisher, B.

M. Cronin-Golomb, B. Fisher, J. O. White, and A. Yariv, “Theory and applications of four-wave mixing in photorefractive media,” IEEE J. Quantum Electron. 20, 12-30 (1984).
[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, 783-786 (2001).
[CrossRef] [PubMed]

Gaeta, A. L.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

Gauthier, D. J.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

Gorkunov, M.

B. Sturman, E. Podivilov, and M. Gorkunov, “Deceleration and shape-transformation of light pulses during phase conjugation in photorefractive media,” Appl. Phys. B: Photophys. Laser Chem. 95, 545-549 (2009).
[CrossRef]

Gorkunov, M. V.

B. I. Sturman, E. V. Podivilov, and M. V. Gorkunov, “Photorefractive manipulation of light pulses,” Phys. Rev. A 77, 063808 (2008).
[CrossRef]

Grapinet, M.

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, “Threshold behavior of semi-linear photorefractive oscillator,” Eur. Phys. J. D 39, 445-451 (2006).
[CrossRef]

Ham, B. S.

A. Turukhin, V. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, “Observation of ultraslow and stored light pulses in a solid,” Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Harris, S. E.

L. V. Hau, S. E. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397, 594-598 (1999).
[CrossRef]

S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50, 36-42 (1997).
[CrossRef]

Hau, L. V.

Z. Dutton and L. V. Hau, “Storing and processing optical information with ultraslow light in Bose-Einstein condensates,” Phys. Rev. A 70, 053831 (2004).
[CrossRef]

C. Liu, Z. Dutton, C. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409, 490-493 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397, 594-598 (1999).
[CrossRef]

Hemmer, P. R.

A. Turukhin, V. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, “Observation of ultraslow and stored light pulses in a solid,” Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Jarabo, S.

A. Schweinsberg, N. N. Lepeshkin, M. S. Bigelow, R. W. Boyd, and S. Jarabo, “Observation of superluminal and slow light propagation in erbium-doped optical fiber,” Europhys. Lett. 73, 218-224 (2006).
[CrossRef]

Jauslin, H. R.

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, “Threshold behavior of semi-linear photorefractive oscillator,” Eur. Phys. J. D 39, 445-451 (2006).
[CrossRef]

Lepeshkin, N. N.

A. Schweinsberg, N. N. Lepeshkin, M. S. Bigelow, R. W. Boyd, and S. Jarabo, “Observation of superluminal and slow light propagation in erbium-doped optical fiber,” Europhys. Lett. 73, 218-224 (2006).
[CrossRef]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301, 200-202 (2003).
[CrossRef] [PubMed]

Liu, C.

C. Liu, Z. Dutton, C. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409, 490-493 (2001).
[CrossRef] [PubMed]

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, 783-786 (2001).
[CrossRef] [PubMed]

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, 783-786 (2001).
[CrossRef] [PubMed]

Mathey, P.

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, “Threshold behavior of semi-linear photorefractive oscillator,” Eur. Phys. J. D 39, 445-451 (2006).
[CrossRef]

Musser, J. A.

A. Turukhin, V. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, “Observation of ultraslow and stored light pulses in a solid,” Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Odoulov, S.

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, “Threshold behavior of semi-linear photorefractive oscillator,” Eur. Phys. J. D 39, 445-451 (2006).
[CrossRef]

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, and K. Buse, “Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero,” Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

E. Podivilov, B. Sturman, A. Shumelyuk, and S. Odoulov, “Light pulses slowing down up to 0.025 cm/s by photorefractive two-wave coupling,” Phys. Rev. Lett. 91, 083902 (2003).
[CrossRef] [PubMed]

Okawachi, Y.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

Pepper, D. M.

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, 783-786 (2001).
[CrossRef] [PubMed]

Pilipetsky, N. F.

B. Y. Zeldovich, N. F. Pilipetsky, and V. V. Shkunov, Principles of Phase Conjugation, Vol. 42 of Springer Series in Optical Sciences (Springer-Verlag, 1985).

Podivilov, E.

B. Sturman, E. Podivilov, and M. Gorkunov, “Deceleration and shape-transformation of light pulses during phase conjugation in photorefractive media,” Appl. Phys. B: Photophys. Laser Chem. 95, 545-549 (2009).
[CrossRef]

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, and K. Buse, “Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero,” Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

E. Podivilov, B. Sturman, A. Shumelyuk, and S. Odoulov, “Light pulses slowing down up to 0.025 cm/s by photorefractive two-wave coupling,” Phys. Rev. Lett. 91, 083902 (2003).
[CrossRef] [PubMed]

Podivilov, E. V.

B. I. Sturman, E. V. Podivilov, and M. V. Gorkunov, “Photorefractive manipulation of light pulses,” Phys. Rev. A 77, 063808 (2008).
[CrossRef]

Rytz, D.

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, “Threshold behavior of semi-linear photorefractive oscillator,” Eur. Phys. J. D 39, 445-451 (2006).
[CrossRef]

Schweinsberg, A.

A. Schweinsberg, N. N. Lepeshkin, M. S. Bigelow, R. W. Boyd, and S. Jarabo, “Observation of superluminal and slow light propagation in erbium-doped optical fiber,” Europhys. Lett. 73, 218-224 (2006).
[CrossRef]

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

Scully, M. O.

M. O. Scully and G. R. Welch, “Slow, stopped and stored light,” Phys. World 17, 31-34 (2004).

Shahriar, M. S.

A. Turukhin, V. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, “Observation of ultraslow and stored light pulses in a solid,” Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Sharping, J. E.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zhu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, “Tunable all-optical delays via Brillouin slow light in an optical fiber,” Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef] [PubMed]

Shcherbin, K.

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, and K. Buse, “Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero,” Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

Shkunov, V. V.

B. Y. Zeldovich, N. F. Pilipetsky, and V. V. Shkunov, Principles of Phase Conjugation, Vol. 42 of Springer Series in Optical Sciences (Springer-Verlag, 1985).

Shumelyuk, A.

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, and K. Buse, “Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero,” Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

E. Podivilov, B. Sturman, A. Shumelyuk, and S. Odoulov, “Light pulses slowing down up to 0.025 cm/s by photorefractive two-wave coupling,” Phys. Rev. Lett. 91, 083902 (2003).
[CrossRef] [PubMed]

Sturman, B.

B. Sturman, E. Podivilov, and M. Gorkunov, “Deceleration and shape-transformation of light pulses during phase conjugation in photorefractive media,” Appl. Phys. B: Photophys. Laser Chem. 95, 545-549 (2009).
[CrossRef]

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, “Threshold behavior of semi-linear photorefractive oscillator,” Eur. Phys. J. D 39, 445-451 (2006).
[CrossRef]

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, and K. Buse, “Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero,” Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

E. Podivilov, B. Sturman, A. Shumelyuk, and S. Odoulov, “Light pulses slowing down up to 0.025 cm/s by photorefractive two-wave coupling,” Phys. Rev. Lett. 91, 083902 (2003).
[CrossRef] [PubMed]

Sturman, B. I.

B. I. Sturman, E. V. Podivilov, and M. V. Gorkunov, “Photorefractive manipulation of light pulses,” Phys. Rev. A 77, 063808 (2008).
[CrossRef]

Sudarshanam, V.

A. Turukhin, V. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, “Observation of ultraslow and stored light pulses in a solid,” Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Turukhin, A.

A. Turukhin, V. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, “Observation of ultraslow and stored light pulses in a solid,” Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

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, 783-786 (2001).
[CrossRef] [PubMed]

Welch, G. R.

M. O. Scully and G. R. Welch, “Slow, stopped and stored light,” Phys. World 17, 31-34 (2004).

White, J. O.

M. Cronin-Golomb, B. Fisher, J. O. White, and A. Yariv, “Theory and applications of four-wave mixing in photorefractive media,” IEEE J. Quantum Electron. 20, 12-30 (1984).
[CrossRef]

Xu, J.

G. Zhang, F. Bo, R. Dong, and J. Xu, “Phase-coupling-induced ultraslow light propagation in solids at room temperature,” Phys. Rev. Lett. 93, 133903 (2004).
[CrossRef] [PubMed]

Yariv, A.

M. Cronin-Golomb, B. Fisher, J. O. White, and A. Yariv, “Theory and applications of four-wave mixing in photorefractive media,” IEEE J. Quantum Electron. 20, 12-30 (1984).
[CrossRef]

A. Yariv and D. M. Pepper, “Amplified reflection, phase conjugation, and oscillation in degenerate four-wave mixing,” Opt. Lett. 1, 16-18 (1977).
[CrossRef] [PubMed]

Zeldovich, B. Y.

B. Y. Zeldovich, N. F. Pilipetsky, and V. V. Shkunov, Principles of Phase Conjugation, Vol. 42 of Springer Series in Optical Sciences (Springer-Verlag, 1985).

Zhang, G.

G. Zhang, F. Bo, R. Dong, and J. Xu, “Phase-coupling-induced ultraslow light propagation in solids at room temperature,” Phys. Rev. Lett. 93, 133903 (2004).
[CrossRef] [PubMed]

Zhu, Z.

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Figures (6)

Fig. 1
Fig. 1

Geometric scheme of the backward 4W coupling with dominating transmission index grating. The parallel lines indicate the index fringes. The intensity of the incident pulse is I 4 ( 0 , t ) , while the intensities of the transmitted and conjugate pulses are I 4 ( d , t ) and I 3 ( 0 , t ) , respectively.

Fig. 2
Fig. 2

The coupling strength g (line 1) and the detuning parameter ω t r (line 2) versus the pump ratio r at the mirrorless oscillation threshold for the nonlocal PR response.

Fig. 3
Fig. 3

The normalized intensity of the transmitted signal I 4 ( d , t ) I 4 max ( d , t ) versus t t r for the coupling strength g = 6 and t 0 t r = 2 . Solid lines 1, 2, and 3 are plotted for the pump ratio r = 0 , 0.001, and 0.005, respectively, and I 4 max ( d , t ) 2.6 × 10 4 I 4 0 corresponds to r = 0 . The dotted line is the input signal profile.

Fig. 4
Fig. 4

The normalized intensity I 3 ( 0 , t ) I 4 0 versus t t r for g = 8 and t 0 t r = 1 . Solid lines 1, 2, and 3 correspond to r = 5 , 10, and 20 × 10 3 , respectively. The dotted line is the input intensity profile (in arbitrary units).

Fig. 5
Fig. 5

The time delay Δ t (a) and the maximum output intensity I 3 max ( 0 ) (b) versus the pump ratio r for t 0 t r = 1 . Lines 1, 2, and 3 correspond to the coupling strength g = 6 , 8, and 10, respectively.

Fig. 6
Fig. 6

The normalized conjugate signal I 3 ( 0 , t ) I 4 0 versus t t r for g = 6.2 , r = 22 , and t 0 t r = 1 .

Equations (16)

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A 1 z = u * A 4 ,
A 2 z = u A 3 ,
A 3 z = u * A 2 ,
A 4 z = u A 1 ,
t r u t + u = γ I 0 ( A 1 * A 4 + A 2 A 3 * ) .
A 1 ( 0 , t ) = const , A 2 ( d , t ) = const ,
A 3 ( d , t ) = 0 , A 4 ( 0 , t ) = f ( t ) ,
A 4 z = u A 1 ,
A 3 * z = u A 2 * ,
t r u t + u = γ I 0 ( A 1 * A 4 + A 2 A 3 * ) ,
d A ̃ 4 d z = Γ ω ( | A 1 | 2 A ̃ 4 + A 1 A 2 A ̃ 3 * ) I 0 ,
d A ̃ 3 * d z = Γ ω ( A 1 * A 2 * A ̃ 4 + | A 2 | 2 A ̃ 3 * ) I 0 ,
A ̃ 3 * ( 0 , ω ) = r e i φ 1 exp ( Γ ω d ) 1 + r exp ( Γ ω d ) A ̃ 4 ( 0 , ω ) ,
A ̃ 4 ( d , ω ) = ( 1 + r ) exp ( Γ ω d ) 1 + r exp ( Γ ω d ) A ̃ 4 ( 0 , ω ) ,
exp [ g ( 1 i ω t r ) ] = r ,
g = ln r + π 2 ln r , ω t r = ± π ln r .

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