Abstract

The experimental observation of gap solitons in nonlinear grating structures has thus far been held back by the large required incident power. We show that this requirement is reduced considerably if the grating is nonuniform.

© 1993 Optical Society of America

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References

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  1. H. G. Winful, J. H. Marburger, E. Garmire, Appl. Phys. Lett. 35, 379 (1979).
    [CrossRef]
  2. W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
    [CrossRef] [PubMed]
  3. C. M. de Sterke, J. E. Sipe, Opt. Lett. 14, 871 (1989).
    [CrossRef] [PubMed]
  4. S. D. Sankey, D. F. Prelewitz, T. G. Brown, Appl. Phys. Lett. 60, 1427 (1992).
    [CrossRef]
  5. S. T. Ho, C. E. Soccolich, M. N. Islam, W. B. Hobson, A. F. J. Levi, R. E. Slusher, Appl. Phys. Lett. 59, 2558 (1991).
    [CrossRef]
  6. H. A. MacLeod, Thin-Film Optical Filters (Hilger, London, 1975).
  7. C. M. de Sterke, Phys. Rev. A 45, 2012 (1992).
    [CrossRef] [PubMed]
  8. H. A. Haus, Opt. Lett. 17, 1134 (1992).
    [CrossRef] [PubMed]
  9. H. Kogelnik, in Integrated Optics, 2nd ed., T. Tamir, ed. (Springer-Verlag, Berlin, 1985), p. 15.
  10. H. Winful, Appl. Phys. Lett. 46, 527 (1985).
    [CrossRef]
  11. C. M. de Sterke, K. R. Jackson, B. D. Robert, J. Opt. Soc. Am. A 8, 403 (1991).
    [CrossRef]
  12. A. B. Aceves, C. De Angelis, S. Wabnitz, Opt. Lett. 17, 1566 (1992).
    [CrossRef] [PubMed]

1992 (4)

S. D. Sankey, D. F. Prelewitz, T. G. Brown, Appl. Phys. Lett. 60, 1427 (1992).
[CrossRef]

C. M. de Sterke, Phys. Rev. A 45, 2012 (1992).
[CrossRef] [PubMed]

H. A. Haus, Opt. Lett. 17, 1134 (1992).
[CrossRef] [PubMed]

A. B. Aceves, C. De Angelis, S. Wabnitz, Opt. Lett. 17, 1566 (1992).
[CrossRef] [PubMed]

1991 (2)

S. T. Ho, C. E. Soccolich, M. N. Islam, W. B. Hobson, A. F. J. Levi, R. E. Slusher, Appl. Phys. Lett. 59, 2558 (1991).
[CrossRef]

C. M. de Sterke, K. R. Jackson, B. D. Robert, J. Opt. Soc. Am. A 8, 403 (1991).
[CrossRef]

1989 (1)

1987 (1)

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef] [PubMed]

1985 (1)

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

1979 (1)

H. G. Winful, J. H. Marburger, E. Garmire, Appl. Phys. Lett. 35, 379 (1979).
[CrossRef]

Aceves, A. B.

Brown, T. G.

S. D. Sankey, D. F. Prelewitz, T. G. Brown, Appl. Phys. Lett. 60, 1427 (1992).
[CrossRef]

Chen, W.

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef] [PubMed]

De Angelis, C.

de Sterke, C. M.

C. M. de Sterke, Phys. Rev. A 45, 2012 (1992).
[CrossRef] [PubMed]

C. M. de Sterke, K. R. Jackson, B. D. Robert, J. Opt. Soc. Am. A 8, 403 (1991).
[CrossRef]

C. M. de Sterke, J. E. Sipe, Opt. Lett. 14, 871 (1989).
[CrossRef] [PubMed]

Garmire, E.

H. G. Winful, J. H. Marburger, E. Garmire, Appl. Phys. Lett. 35, 379 (1979).
[CrossRef]

Haus, H. A.

Ho, S. T.

S. T. Ho, C. E. Soccolich, M. N. Islam, W. B. Hobson, A. F. J. Levi, R. E. Slusher, Appl. Phys. Lett. 59, 2558 (1991).
[CrossRef]

Hobson, W. B.

S. T. Ho, C. E. Soccolich, M. N. Islam, W. B. Hobson, A. F. J. Levi, R. E. Slusher, Appl. Phys. Lett. 59, 2558 (1991).
[CrossRef]

Islam, M. N.

S. T. Ho, C. E. Soccolich, M. N. Islam, W. B. Hobson, A. F. J. Levi, R. E. Slusher, Appl. Phys. Lett. 59, 2558 (1991).
[CrossRef]

Jackson, K. R.

C. M. de Sterke, K. R. Jackson, B. D. Robert, J. Opt. Soc. Am. A 8, 403 (1991).
[CrossRef]

Kogelnik, H.

H. Kogelnik, in Integrated Optics, 2nd ed., T. Tamir, ed. (Springer-Verlag, Berlin, 1985), p. 15.

Levi, A. F. J.

S. T. Ho, C. E. Soccolich, M. N. Islam, W. B. Hobson, A. F. J. Levi, R. E. Slusher, Appl. Phys. Lett. 59, 2558 (1991).
[CrossRef]

MacLeod, H. A.

H. A. MacLeod, Thin-Film Optical Filters (Hilger, London, 1975).

Marburger, J. H.

H. G. Winful, J. H. Marburger, E. Garmire, Appl. Phys. Lett. 35, 379 (1979).
[CrossRef]

Mills, D. L.

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef] [PubMed]

Prelewitz, D. F.

S. D. Sankey, D. F. Prelewitz, T. G. Brown, Appl. Phys. Lett. 60, 1427 (1992).
[CrossRef]

Robert, B. D.

C. M. de Sterke, K. R. Jackson, B. D. Robert, J. Opt. Soc. Am. A 8, 403 (1991).
[CrossRef]

Sankey, S. D.

S. D. Sankey, D. F. Prelewitz, T. G. Brown, Appl. Phys. Lett. 60, 1427 (1992).
[CrossRef]

Sipe, J. E.

Slusher, R. E.

S. T. Ho, C. E. Soccolich, M. N. Islam, W. B. Hobson, A. F. J. Levi, R. E. Slusher, Appl. Phys. Lett. 59, 2558 (1991).
[CrossRef]

Soccolich, C. E.

S. T. Ho, C. E. Soccolich, M. N. Islam, W. B. Hobson, A. F. J. Levi, R. E. Slusher, Appl. Phys. Lett. 59, 2558 (1991).
[CrossRef]

Wabnitz, S.

Winful, H.

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

Winful, H. G.

H. G. Winful, J. H. Marburger, E. Garmire, Appl. Phys. Lett. 35, 379 (1979).
[CrossRef]

Appl. Phys. Lett. (4)

S. D. Sankey, D. F. Prelewitz, T. G. Brown, Appl. Phys. Lett. 60, 1427 (1992).
[CrossRef]

S. T. Ho, C. E. Soccolich, M. N. Islam, W. B. Hobson, A. F. J. Levi, R. E. Slusher, Appl. Phys. Lett. 59, 2558 (1991).
[CrossRef]

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

H. G. Winful, J. H. Marburger, E. Garmire, Appl. Phys. Lett. 35, 379 (1979).
[CrossRef]

J. Opt. Soc. Am. A (1)

C. M. de Sterke, K. R. Jackson, B. D. Robert, J. Opt. Soc. Am. A 8, 403 (1991).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. A (1)

C. M. de Sterke, Phys. Rev. A 45, 2012 (1992).
[CrossRef] [PubMed]

Phys. Rev. Lett. (1)

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef] [PubMed]

Other (2)

H. Kogelnik, in Integrated Optics, 2nd ed., T. Tamir, ed. (Springer-Verlag, Berlin, 1985), p. 15.

H. A. MacLeod, Thin-Film Optical Filters (Hilger, London, 1975).

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Figures (3)

Fig. 1
Fig. 1

Response of the tapered grating at low intensities. The intensities of the incoming light (dotted curve), reflected light (solid curve), and transmitted light (dashed curve) are shown as a function of time. Clearly, in this limit almost all incoming light is reflected by the grating.

Fig. 2
Fig. 2

Response of the tapered grating to a high-intensity pulse with a peak power of almost 1 GW/cm2. The dotted, solid, and dashed curves are incoming, reflected, and transmitted light, respectively.

Fig. 3
Fig. 3

Energy density inside the structure during the leading edge of the incident pulse. Clearly, a resonance is set up with a peak intensity that is more than a factor of 10 higher than the external intensity.

Equations (2)

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r ( ω 0 ) = 0 ,
δ = κ c n ¯ ( 0 . 9934 + 0 . 0057 i ) ,

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