Abstract

A model for the propagation of coherent pulses along a one-dimensional, resonantly absorbing Bragg grating that includes localized inhomogeneous population inversion at its center is presented. The long-range coupling between the optical field and resonant atoms allows for controllable trapping of a gap soliton by the local inversion, thus opening new opportunities for control of signal transmission and localization of light.

© 2004 Optical Society of America

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References

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  1. W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1986).
    [CrossRef]
  2. B. I. Mantsyzov and R. N. Kuzmin, Sov. Phys. JETP 64, 37 (1986).
  3. C. M. de Sterke and J. E. Sipe, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1994), Vol. 33, Chap. 3.
  4. S. Dutta-Gupta, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1998), Vol. 38, Chap. 1.
  5. P. Millar, R. M. De La Rue, T. F. Krauss, J. S. Aitchison, N. G. R. Broderick, and D. J. Richardson, Opt. Lett. 24, 685 (1999).
    [CrossRef]
  6. B. I. Mantsyzov, Phys. Rev. A 51, 4939 (1995).
    [CrossRef] [PubMed]
  7. F. de Rossi, C. Conti, and S. Trillo, Phys. Rev. Lett. 81, 85 (1998).
    [CrossRef]
  8. A. E. Kozhekin, G. Kurizki, and B. Malomed, Phys. Rev. Lett. 81, 3647 (1998).
    [CrossRef]
  9. C. Conti, G. Assanto, and S. Trillo, Phys. Rev. E 59, 2467 (1999).
    [CrossRef]
  10. B. I. Mantsyzov and R. A. Silnikov, JETP Lett. 74, 456 (2001).
    [CrossRef]
  11. B. I. Mantsyzov and R. A. Silnikov, J. Opt. Soc. Am. B 19, 2203 (2002).
    [CrossRef]
  12. R. H. Goodman, R. E. Slusher, and M. I. Weinstein, J. Opt. Soc. Am. B 19, 1635 (2002).
    [CrossRef]
  13. N. Scribanovitz, I. P. Herman, I. C. MacGillivray, and M. S. Feld, Phys. Rev. Lett. 30, 309 (1973).
    [CrossRef]
  14. I. C. MacGillivray and M. S. Feld, Phys. Rev. A 14, 1169 (1976).
    [CrossRef]
  15. I. V. Mel’nikov, Phys. Rev. Lett. 77, 842 (1996).
    [CrossRef] [PubMed]
  16. R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 161, 21 (2002).
    [CrossRef]

2002 (3)

2001 (1)

B. I. Mantsyzov and R. A. Silnikov, JETP Lett. 74, 456 (2001).
[CrossRef]

1999 (2)

1998 (2)

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

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

1996 (1)

I. V. Mel’nikov, Phys. Rev. Lett. 77, 842 (1996).
[CrossRef] [PubMed]

1995 (1)

B. I. Mantsyzov, Phys. Rev. A 51, 4939 (1995).
[CrossRef] [PubMed]

1986 (2)

W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1986).
[CrossRef]

B. I. Mantsyzov and R. N. Kuzmin, Sov. Phys. JETP 64, 37 (1986).

1976 (1)

I. C. MacGillivray and M. S. Feld, Phys. Rev. A 14, 1169 (1976).
[CrossRef]

1973 (1)

N. Scribanovitz, I. P. Herman, I. C. MacGillivray, and M. S. Feld, Phys. Rev. Lett. 30, 309 (1973).
[CrossRef]

Aitchison, J. S.

Assanto, G.

C. Conti, G. Assanto, and S. Trillo, Phys. Rev. E 59, 2467 (1999).
[CrossRef]

Broderick, N. G. R.

Chen, W.

W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1986).
[CrossRef]

Conti, C.

C. Conti, G. Assanto, and S. Trillo, Phys. Rev. E 59, 2467 (1999).
[CrossRef]

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

De La Rue, R. M.

de Rossi, F.

F. de 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, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1994), Vol. 33, Chap. 3.

Dutta-Gupta, S.

S. Dutta-Gupta, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1998), Vol. 38, Chap. 1.

Feld, M. S.

I. C. MacGillivray and M. S. Feld, Phys. Rev. A 14, 1169 (1976).
[CrossRef]

N. Scribanovitz, I. P. Herman, I. C. MacGillivray, and M. S. Feld, Phys. Rev. Lett. 30, 309 (1973).
[CrossRef]

Goodman, R. H.

R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 161, 21 (2002).
[CrossRef]

R. H. Goodman, R. E. Slusher, and M. I. Weinstein, J. Opt. Soc. Am. B 19, 1635 (2002).
[CrossRef]

Herman, I. P.

N. Scribanovitz, I. P. Herman, I. C. MacGillivray, and M. S. Feld, Phys. Rev. Lett. 30, 309 (1973).
[CrossRef]

Holmes, P. J.

R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 161, 21 (2002).
[CrossRef]

Kozhekin, A. E.

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

Krauss, T. F.

Kurizki, G.

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

Kuzmin, R. N.

B. I. Mantsyzov and R. N. Kuzmin, Sov. Phys. JETP 64, 37 (1986).

MacGillivray, I. C.

I. C. MacGillivray and M. S. Feld, Phys. Rev. A 14, 1169 (1976).
[CrossRef]

N. Scribanovitz, I. P. Herman, I. C. MacGillivray, and M. S. Feld, Phys. Rev. Lett. 30, 309 (1973).
[CrossRef]

Malomed, B.

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

Mantsyzov, B. I.

B. I. Mantsyzov and R. A. Silnikov, J. Opt. Soc. Am. B 19, 2203 (2002).
[CrossRef]

B. I. Mantsyzov and R. A. Silnikov, JETP Lett. 74, 456 (2001).
[CrossRef]

B. I. Mantsyzov, Phys. Rev. A 51, 4939 (1995).
[CrossRef] [PubMed]

B. I. Mantsyzov and R. N. Kuzmin, Sov. Phys. JETP 64, 37 (1986).

Mel’nikov, I. V.

I. V. Mel’nikov, Phys. Rev. Lett. 77, 842 (1996).
[CrossRef] [PubMed]

Millar, P.

Mills, D. L.

W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1986).
[CrossRef]

Richardson, D. J.

Scribanovitz, N.

N. Scribanovitz, I. P. Herman, I. C. MacGillivray, and M. S. Feld, Phys. Rev. Lett. 30, 309 (1973).
[CrossRef]

Silnikov, R. A.

B. I. Mantsyzov and R. A. Silnikov, J. Opt. Soc. Am. B 19, 2203 (2002).
[CrossRef]

B. I. Mantsyzov and R. A. Silnikov, JETP Lett. 74, 456 (2001).
[CrossRef]

Sipe, J. E.

C. M. de Sterke and J. E. Sipe, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1994), Vol. 33, Chap. 3.

Slusher, R. E.

Trillo, S.

C. Conti, G. Assanto, and S. Trillo, Phys. Rev. E 59, 2467 (1999).
[CrossRef]

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

Weinstein, M. I.

R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 161, 21 (2002).
[CrossRef]

R. H. Goodman, R. E. Slusher, and M. I. Weinstein, J. Opt. Soc. Am. B 19, 1635 (2002).
[CrossRef]

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

JETP Lett. (1)

B. I. Mantsyzov and R. A. Silnikov, JETP Lett. 74, 456 (2001).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (2)

I. C. MacGillivray and M. S. Feld, Phys. Rev. A 14, 1169 (1976).
[CrossRef]

B. I. Mantsyzov, Phys. Rev. A 51, 4939 (1995).
[CrossRef] [PubMed]

Phys. Rev. E (1)

C. Conti, G. Assanto, and S. Trillo, Phys. Rev. E 59, 2467 (1999).
[CrossRef]

Phys. Rev. Lett. (5)

I. V. Mel’nikov, Phys. Rev. Lett. 77, 842 (1996).
[CrossRef] [PubMed]

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

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

N. Scribanovitz, I. P. Herman, I. C. MacGillivray, and M. S. Feld, Phys. Rev. Lett. 30, 309 (1973).
[CrossRef]

W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1986).
[CrossRef]

Physica D (1)

R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 161, 21 (2002).
[CrossRef]

Sov. Phys. JETP (1)

B. I. Mantsyzov and R. N. Kuzmin, Sov. Phys. JETP 64, 37 (1986).

Other (2)

C. M. de Sterke and J. E. Sipe, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1994), Vol. 33, Chap. 3.

S. Dutta-Gupta, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1998), Vol. 38, Chap. 1.

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Figures (3)

Fig. 1
Fig. 1

Spatiotemporal profile of the inversion population of the resonant PBG structure and gap soliton, Ω0=2.7, that either (a) traverses a defect with ln/L=0.01 or (b) is captured there if the width of the defect is increased, ln/L=0.1. Note the decay of the soliton oscillations and the defect breakup as a result of the solitons’ inelastic interaction.

Fig. 2
Fig. 2

Decreasing the defect amplitude from (a) νn=1.75 to (b) νn=1.5 makes the defect transparent to the input gap soliton; in both cases, ln/L=0.1.

Fig. 3
Fig. 3

(a) Capture, (b), (c) delayed reflection, and (d) elastic reflection of the pulse whose amplitude is smaller than that required for excitation of the resonant gap soliton: Ω0/Ωg=a 0.997, (b) 0.9764, (c) 0.9763, (d) 0.974; Ωg=2.7, νn=2, ln/L=0.1.

Equations (1)

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Ωt±±Ωx±=P,    Pt=nΩ++Ω-, nt=-ReP*Ω++Ω-,

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