Abstract

We theoretically demonstrate what is a new method for efficient launching of in-gap solitons in fiber Bragg gratings. The method is based on generating a soliton outside the grating bandgap. Then, the soliton is adiabatically coupled into the bandgap by using its particlelike behavior. We compare our method to a previously published launching scheme that is based on generating the soliton directly within the grating bandgap. When using low-intensity incident pulses, the transmission efficiency of our method is three times higher than that of the previously published scheme.

© 2008 Optical Society of America

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  1. A. B. Aceves and S. Wabnitz, Phys. Lett. A 141, 37 (1989).
    [CrossRef]
  2. B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1996).
    [CrossRef] [PubMed]
  3. B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, J. Opt. Soc. Am. B 16, 587 (1999).
    [CrossRef]
  4. H. G. Winful, Appl. Phys. Lett. 46, 527 (1985).
    [CrossRef]
  5. W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 68, 026609 (2003).
    [CrossRef]
  6. R. H. Goodman, R. E. Slusher, and M. I. Weinstein, J. Opt. Soc. Am. B 19, 1635 (2002).
    [CrossRef]
  7. J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
    [CrossRef]
  8. J. T. Mok, I. C. M. Littler, E. Tsoy, and B. J. Eggleton, Opt. Lett. 30, 2457 (2005).
    [CrossRef] [PubMed]
  9. J. T. Mok, C. M. de Sterke, and B. J. Eggleton, Opt. Express 14, 11987 (2006).
    [CrossRef] [PubMed]
  10. A. Rosenthal and M. Horowitz, Phys. Rev. E 74, 066611 (2006).
    [CrossRef]
  11. N. G. R. Broderick and C. M. de Sterke, Phys. Rev. E 58, 7941 (1998).
    [CrossRef]
  12. R. Slusher, B. J. Eggleton, T. Strasser, and C. M. de Sterke, Opt. Express 3, 465 (1998).
    [CrossRef] [PubMed]
  13. A. Rosenthal and M. Horowitz, Opt. Lett. 31, 1334 (2006).
    [CrossRef] [PubMed]
  14. C. M. de Sterke, Opt. Express 3, 405 (1998).
    [CrossRef] [PubMed]

2006 (4)

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
[CrossRef]

A. Rosenthal and M. Horowitz, Phys. Rev. E 74, 066611 (2006).
[CrossRef]

A. Rosenthal and M. Horowitz, Opt. Lett. 31, 1334 (2006).
[CrossRef] [PubMed]

J. T. Mok, C. M. de Sterke, and B. J. Eggleton, Opt. Express 14, 11987 (2006).
[CrossRef] [PubMed]

2005 (1)

2003 (1)

W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 68, 026609 (2003).
[CrossRef]

2002 (1)

1999 (1)

1998 (3)

1996 (1)

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

1989 (1)

A. B. Aceves and S. Wabnitz, Phys. Lett. A 141, 37 (1989).
[CrossRef]

1985 (1)

H. G. Winful, Appl. Phys. Lett. 46, 527 (1985).
[CrossRef]

Aceves, A. B.

A. B. Aceves and S. Wabnitz, Phys. Lett. A 141, 37 (1989).
[CrossRef]

Broderick, N. G. R.

N. G. R. Broderick and C. M. de Sterke, Phys. Rev. E 58, 7941 (1998).
[CrossRef]

Chu, P. L.

W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 68, 026609 (2003).
[CrossRef]

de Sterke, C. M.

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
[CrossRef]

J. T. Mok, C. M. de Sterke, and B. J. Eggleton, Opt. Express 14, 11987 (2006).
[CrossRef] [PubMed]

B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, J. Opt. Soc. Am. B 16, 587 (1999).
[CrossRef]

C. M. de Sterke, Opt. Express 3, 405 (1998).
[CrossRef] [PubMed]

N. G. R. Broderick and C. M. de Sterke, Phys. Rev. E 58, 7941 (1998).
[CrossRef]

R. Slusher, B. J. Eggleton, T. Strasser, and C. M. de Sterke, Opt. Express 3, 465 (1998).
[CrossRef] [PubMed]

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

Eggleton, B. J.

Goodman, R. H.

Horowitz, M.

A. Rosenthal and M. Horowitz, Opt. Lett. 31, 1334 (2006).
[CrossRef] [PubMed]

A. Rosenthal and M. Horowitz, Phys. Rev. E 74, 066611 (2006).
[CrossRef]

Krug, P. A.

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

Littler, I. C. M.

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
[CrossRef]

J. T. Mok, I. C. M. Littler, E. Tsoy, and B. J. Eggleton, Opt. Lett. 30, 2457 (2005).
[CrossRef] [PubMed]

Mak, W. C. K.

W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 68, 026609 (2003).
[CrossRef]

Malomed, B. A.

W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 68, 026609 (2003).
[CrossRef]

Mok, J. T.

Rosenthal, A.

A. Rosenthal and M. Horowitz, Phys. Rev. E 74, 066611 (2006).
[CrossRef]

A. Rosenthal and M. Horowitz, Opt. Lett. 31, 1334 (2006).
[CrossRef] [PubMed]

Sipe, J. E.

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

Slusher, R.

Slusher, R. E.

Strasser, T.

Tsoy, E.

Wabnitz, S.

A. B. Aceves and S. Wabnitz, Phys. Lett. A 141, 37 (1989).
[CrossRef]

Weinstein, M. I.

Winful, H. G.

H. G. Winful, Appl. Phys. Lett. 46, 527 (1985).
[CrossRef]

Appl. Phys. Lett. (1)

H. G. Winful, Appl. Phys. Lett. 46, 527 (1985).
[CrossRef]

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

Nat. Phys. (1)

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, Nat. Phys. 2, 775 (2006).
[CrossRef]

Opt. Express (3)

Opt. Lett. (2)

Phys. Lett. A (1)

A. B. Aceves and S. Wabnitz, Phys. Lett. A 141, 37 (1989).
[CrossRef]

Phys. Rev. E (3)

W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E 68, 026609 (2003).
[CrossRef]

A. Rosenthal and M. Horowitz, Phys. Rev. E 74, 066611 (2006).
[CrossRef]

N. G. R. Broderick and C. M. de Sterke, Phys. Rev. E 58, 7941 (1998).
[CrossRef]

Phys. Rev. Lett. (1)

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

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Figures (3)

Fig. 1
Fig. 1

Coupling coefficient of the grating apodization. The inset shows a zoom around the second apodization segment.

Fig. 2
Fig. 2

Formation and propagation of an in-gap soliton obtained using the launching method described in this Letter. The scale in the z axis is logarithmic.

Fig. 3
Fig. 3

Formation and propagation of an in-gap soliton obtained using the launching method described in [9]. The scale in the z axis is logarithmic.

Equations (2)

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i V g E ± t ± i E ± z + κ ( z ) E + Γ ( E ± 2 + 2 E 2 ) E ± = 0 ,
κ ( z ) = { 0.5 η κ 0 ( cos ( π z ( 2 L 1 ) ) + 1 ) , 0 < z L 1 η κ 0 + ( 1 η ) κ 0 ( z L 1 ) L 2 , L 1 < z L 1 + L 2 ,

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