Abstract

We demonstrate that interfaces between two nonlinear periodic photonic lattices offer unique possibilities for controlling the nonlinear interaction between different spectral components of polychromatic light, and a change in the light spectrum can have a dramatic effect on the propagation along the interface. We predict the existence of polychromatic surface solitons that differ fundamentally from their counterparts in infinite lattices.

© 2006 Optical Society of America

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References

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  1. M. Mitchell and M. Segev, Nature 387, 880 (1997).
    [CrossRef]
  2. H. Buljan, M. Segev, M. Soljacic, N. K. Efremides, and D. N. Christodoulides, Opt. Lett. 28, 1239 (2003).
    [CrossRef] [PubMed]
  3. K. Motzek, A. A. Sukhorukov, Yu. S. Kivshar, and F. Kaiser, in Nonlinear Guided Waves and Their Applications, Postconference ed. (Optical Society of America, 2005), paper WD25.
  4. P. Yeh, A. Yariv, and A. Y. Cho, Opt. Lett. 32, 102 (1978).
  5. K. G. Markis, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, Opt. Lett. 30, 2466 (2005).
    [CrossRef]
  6. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
    [CrossRef] [PubMed]
  7. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
    [CrossRef] [PubMed]
  8. I. Garanovich, A. A. Sukhorukov, Y. S. Kivshar, and M. Molina, Opt. Express 14, 4780 (2006).
    [CrossRef] [PubMed]

2006 (3)

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef] [PubMed]

I. Garanovich, A. A. Sukhorukov, Y. S. Kivshar, and M. Molina, Opt. Express 14, 4780 (2006).
[CrossRef] [PubMed]

2005 (1)

2003 (1)

1997 (1)

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

1978 (1)

P. Yeh, A. Yariv, and A. Y. Cho, Opt. Lett. 32, 102 (1978).

Buljan, H.

Cho, A. Y.

P. Yeh, A. Yariv, and A. Y. Cho, Opt. Lett. 32, 102 (1978).

Christodoulides, D. N.

Efremides, N. K.

Garanovich, I.

Hache, A.

Haché, A.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[CrossRef] [PubMed]

Kaiser, F.

K. Motzek, A. A. Sukhorukov, Yu. S. Kivshar, and F. Kaiser, in Nonlinear Guided Waves and Their Applications, Postconference ed. (Optical Society of America, 2005), paper WD25.

Kartashov, Y. V.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef] [PubMed]

Kivshar, Y. S.

Kivshar, Yu. S.

K. Motzek, A. A. Sukhorukov, Yu. S. Kivshar, and F. Kaiser, in Nonlinear Guided Waves and Their Applications, Postconference ed. (Optical Society of America, 2005), paper WD25.

Makris, K. G.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[CrossRef] [PubMed]

Markis, K. G.

Mitchell, M.

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

Molina, M.

Morandoti, R.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[CrossRef] [PubMed]

Motzek, K.

K. Motzek, A. A. Sukhorukov, Yu. S. Kivshar, and F. Kaiser, in Nonlinear Guided Waves and Their Applications, Postconference ed. (Optical Society of America, 2005), paper WD25.

Salamo, G.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[CrossRef] [PubMed]

Segev, M.

Soljacic, M.

Sorel, M.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[CrossRef] [PubMed]

Stegeman, G. I.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[CrossRef] [PubMed]

K. G. Markis, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, Opt. Lett. 30, 2466 (2005).
[CrossRef]

Sukhorukov, A. A.

I. Garanovich, A. A. Sukhorukov, Y. S. Kivshar, and M. Molina, Opt. Express 14, 4780 (2006).
[CrossRef] [PubMed]

K. Motzek, A. A. Sukhorukov, Yu. S. Kivshar, and F. Kaiser, in Nonlinear Guided Waves and Their Applications, Postconference ed. (Optical Society of America, 2005), paper WD25.

Suntsov, S.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[CrossRef] [PubMed]

K. G. Markis, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, Opt. Lett. 30, 2466 (2005).
[CrossRef]

Torner, L.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef] [PubMed]

Vysloukh, V. A.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef] [PubMed]

Yang, H.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[CrossRef] [PubMed]

Yariv, A.

P. Yeh, A. Yariv, and A. Y. Cho, Opt. Lett. 32, 102 (1978).

Yeh, P.

P. Yeh, A. Yariv, and A. Y. Cho, Opt. Lett. 32, 102 (1978).

Nature (1)

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. Lett. (2)

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandoti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef] [PubMed]

Other (1)

K. Motzek, A. A. Sukhorukov, Yu. S. Kivshar, and F. Kaiser, in Nonlinear Guided Waves and Their Applications, Postconference ed. (Optical Society of America, 2005), paper WD25.

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Figures (5)

Fig. 1
Fig. 1

(a) Schematic of an interface separating two photonic lattices. (b) Diffraction coefficients for the bottom of the (solid curve) first band of the narrow- and (dashed curve) the second band of the wide-waveguide lattice.

Fig. 2
Fig. 2

Bandgap spectra of the separate and combined photonic structures. Bandgap spectra (shaded) of the (b) wide- and (c) narrow-waveguide lattices versus frequency and (a) their overlaps. In (a) the darkest shaded region is the overlap between the second gap of the wide-waveguide lattice and the first gap of the narrow-waveguide lattice.

Fig. 3
Fig. 3

Example of a polychromatic surface soliton consisting of five components of different wavelengths. Shown are the total intensity and three components.

Fig. 4
Fig. 4

Generation of a polychromatic interface soliton. (a) Evolution of the total beam intensity over 10 cm propagation (bottom to top); (b) input and output spectra.

Fig. 5
Fig. 5

Propagation of a monochromatic light beam along the interface. Except for the spectrum all parameters are identical to those in Fig. 4. (a) Evolution of the total intensity over 10 cm propagation; (b) Amount of the power localized at the interface for 475 and 532 nm .

Equations (1)

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i A n z + λ n z 0 4 π n 0 x 0 2 2 A n x 2 + 2 π z 0 λ n [ ν ( x ) γ I ] A n = 0 ,

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