Abstract

Periodic structures consisting of alternating layers of positive-index and negative-index materials have a novel bandgap at the frequency at which the average refractive index is zero. We show that, in the presence of a Kerr nonlinearity, this zero-n gap can switch from low transmission to a perfectly transmitting state, forming a nonlinear resonance or gap soliton in the process. This zero-n gap soliton is omnidirectional, in contrast to the usual Bragg gap soliton of positive-index periodic structures.

© 2005 Optical Society of America

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  1. H. G. Winful, J. H. Marburger, and E. Garmire, Appl. Phys. Lett. 35, 379 (1979).
    [CrossRef]
  2. H. G. Winful, “Optical bistability in periodic structures and in four-wave mixing processes,” Ph.D. dissertation (University of Southern California, 1981).
  3. W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
    [CrossRef] [PubMed]
  4. R. E. Slusher and B. Eggleton, Nonlinear Photonic Crystals (Springer, 2003).
  5. J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).
    [CrossRef]
  6. L. Wu, S. He, and L. Chen, Opt. Lett. 11, 1283 (2003).
  7. L. Wu, S. He, and L. Chen, Phys. Rev. B 67, 235103 (2003).
    [CrossRef]
  8. H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, Appl. Phys. Lett. 83, 5386 (2003).
    [CrossRef]
  9. I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Appl. Phys. Lett. 82, 3820 (2003).
    [CrossRef]
  10. I. V. Shadrivov, N. A. Zharova, A. A. Zharov, and Y. Kivshar, Phys. Rev. E 70, 046615 (2004).
    [CrossRef]
  11. V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
    [CrossRef]
  12. M. W. Feise, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 85, 1451 (2004).
    [CrossRef]
  13. R. S. Hedge and H. G. Winful, arXiv.org e-Print archive, physics/0405040, May 9, 2004, http://www.arxiv.org/abs/physics/0405040.
  14. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, Phys. Rev. E 69, 016617 (2004).
    [CrossRef]
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    [CrossRef]
  16. B. Bobbs, R. Shih, H. Fetterman, and W. Ho, Appl. Phys. Lett. 52, 4 (1988).
    [CrossRef]
  17. R. Shih, H. R. Fetterman, W. W. Ho, and R. McGraw, Phys. Rev. Lett. 65, 579 (1990).
    [CrossRef] [PubMed]

2004 (3)

I. V. Shadrivov, N. A. Zharova, A. A. Zharov, and Y. Kivshar, Phys. Rev. E 70, 046615 (2004).
[CrossRef]

M. W. Feise, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 85, 1451 (2004).
[CrossRef]

V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

2003 (5)

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).
[CrossRef]

L. Wu, S. He, and L. Chen, Opt. Lett. 11, 1283 (2003).

L. Wu, S. He, and L. Chen, Phys. Rev. B 67, 235103 (2003).
[CrossRef]

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, Appl. Phys. Lett. 83, 5386 (2003).
[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Appl. Phys. Lett. 82, 3820 (2003).
[CrossRef]

1990 (1)

R. Shih, H. R. Fetterman, W. W. Ho, and R. McGraw, Phys. Rev. Lett. 65, 579 (1990).
[CrossRef] [PubMed]

1988 (2)

U. Trutschel and F. Lederer, J. Opt. Soc. Am. B 5, 2530 (1988).
[CrossRef]

B. Bobbs, R. Shih, H. Fetterman, and W. Ho, Appl. Phys. Lett. 52, 4 (1988).
[CrossRef]

1987 (1)

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

1979 (1)

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

1968 (1)

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Boardman, A. D.

V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

Bobbs, B.

B. Bobbs, R. Shih, H. Fetterman, and W. Ho, Appl. Phys. Lett. 52, 4 (1988).
[CrossRef]

Chan, C. T.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).
[CrossRef]

Chen, H.

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, Appl. Phys. Lett. 83, 5386 (2003).
[CrossRef]

Chen, L.

L. Wu, S. He, and L. Chen, Opt. Lett. 11, 1283 (2003).

L. Wu, S. He, and L. Chen, Phys. Rev. B 67, 235103 (2003).
[CrossRef]

Chen, W.

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

Egan, P.

V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

Eggleton, B.

R. E. Slusher and B. Eggleton, Nonlinear Photonic Crystals (Springer, 2003).

Feise, M. W.

M. W. Feise, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 85, 1451 (2004).
[CrossRef]

Fetterman, H.

B. Bobbs, R. Shih, H. Fetterman, and W. Ho, Appl. Phys. Lett. 52, 4 (1988).
[CrossRef]

Fetterman, H. R.

R. Shih, H. R. Fetterman, W. W. Ho, and R. McGraw, Phys. Rev. Lett. 65, 579 (1990).
[CrossRef] [PubMed]

Garmire, E.

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

He, S.

L. Wu, S. He, and L. Chen, Opt. Lett. 11, 1283 (2003).

L. Wu, S. He, and L. Chen, Phys. Rev. B 67, 235103 (2003).
[CrossRef]

Ho, W.

B. Bobbs, R. Shih, H. Fetterman, and W. Ho, Appl. Phys. Lett. 52, 4 (1988).
[CrossRef]

Ho, W. W.

R. Shih, H. R. Fetterman, W. W. Ho, and R. McGraw, Phys. Rev. Lett. 65, 579 (1990).
[CrossRef] [PubMed]

Jiang, H.

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, Appl. Phys. Lett. 83, 5386 (2003).
[CrossRef]

Kivshar, Y.

I. V. Shadrivov, N. A. Zharova, A. A. Zharov, and Y. Kivshar, Phys. Rev. E 70, 046615 (2004).
[CrossRef]

Kivshar, Y. S.

M. W. Feise, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 85, 1451 (2004).
[CrossRef]

V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Appl. Phys. Lett. 82, 3820 (2003).
[CrossRef]

Lederer, F.

Li, H.

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, Appl. Phys. Lett. 83, 5386 (2003).
[CrossRef]

Li, J.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).
[CrossRef]

Marburger, J. H.

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

McGraw, R.

R. Shih, H. R. Fetterman, W. W. Ho, and R. McGraw, Phys. Rev. Lett. 65, 579 (1990).
[CrossRef] [PubMed]

Mills, D. L.

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

Shadrivov, I. V.

I. V. Shadrivov, N. A. Zharova, A. A. Zharov, and Y. Kivshar, Phys. Rev. E 70, 046615 (2004).
[CrossRef]

M. W. Feise, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 85, 1451 (2004).
[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Appl. Phys. Lett. 82, 3820 (2003).
[CrossRef]

Shadrivov, V.

V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

Sheng, P.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).
[CrossRef]

Shih, R.

R. Shih, H. R. Fetterman, W. W. Ho, and R. McGraw, Phys. Rev. Lett. 65, 579 (1990).
[CrossRef] [PubMed]

B. Bobbs, R. Shih, H. Fetterman, and W. Ho, Appl. Phys. Lett. 52, 4 (1988).
[CrossRef]

Slusher, R. E.

R. E. Slusher and B. Eggleton, Nonlinear Photonic Crystals (Springer, 2003).

Sukhorukov, A. A.

V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Appl. Phys. Lett. 82, 3820 (2003).
[CrossRef]

Trutschel, U.

Veselago, V. G.

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Winful, H. G.

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

H. G. Winful, “Optical bistability in periodic structures and in four-wave mixing processes,” Ph.D. dissertation (University of Southern California, 1981).

Wu, L.

L. Wu, S. He, and L. Chen, Opt. Lett. 11, 1283 (2003).

L. Wu, S. He, and L. Chen, Phys. Rev. B 67, 235103 (2003).
[CrossRef]

Zhang, Y.

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, Appl. Phys. Lett. 83, 5386 (2003).
[CrossRef]

Zharov, A. A.

V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

I. V. Shadrivov, N. A. Zharova, A. A. Zharov, and Y. Kivshar, Phys. Rev. E 70, 046615 (2004).
[CrossRef]

Zharova, N. A.

I. V. Shadrivov, N. A. Zharova, A. A. Zharov, and Y. Kivshar, Phys. Rev. E 70, 046615 (2004).
[CrossRef]

Zhou, L.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).
[CrossRef]

Zhu, S.

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, Appl. Phys. Lett. 83, 5386 (2003).
[CrossRef]

Appl. Phys. Lett. (5)

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

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, Appl. Phys. Lett. 83, 5386 (2003).
[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, Appl. Phys. Lett. 82, 3820 (2003).
[CrossRef]

M. W. Feise, I. V. Shadrivov, and Y. S. Kivshar, Appl. Phys. Lett. 85, 1451 (2004).
[CrossRef]

B. Bobbs, R. Shih, H. Fetterman, and W. Ho, Appl. Phys. Lett. 52, 4 (1988).
[CrossRef]

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

Opt. Lett. (1)

L. Wu, S. He, and L. Chen, Opt. Lett. 11, 1283 (2003).

Phys. Rev. B (1)

L. Wu, S. He, and L. Chen, Phys. Rev. B 67, 235103 (2003).
[CrossRef]

Phys. Rev. E (2)

V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, Phys. Rev. E 69, 016617 (2004).
[CrossRef]

I. V. Shadrivov, N. A. Zharova, A. A. Zharov, and Y. Kivshar, Phys. Rev. E 70, 046615 (2004).
[CrossRef]

Phys. Rev. Lett. (3)

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

J. Li, L. Zhou, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 90, 083901 (2003).
[CrossRef]

R. Shih, H. R. Fetterman, W. W. Ho, and R. McGraw, Phys. Rev. Lett. 65, 579 (1990).
[CrossRef] [PubMed]

Sov. Phys. Usp. (1)

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Other (3)

R. E. Slusher and B. Eggleton, Nonlinear Photonic Crystals (Springer, 2003).

H. G. Winful, “Optical bistability in periodic structures and in four-wave mixing processes,” Ph.D. dissertation (University of Southern California, 1981).

R. S. Hedge and H. G. Winful, arXiv.org e-Print archive, physics/0405040, May 9, 2004, http://www.arxiv.org/abs/physics/0405040.

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