Abstract

We report an experimental study of discrete gap solitons in binary arrays of optical waveguides. We observe self-focusing indicating soliton generation when the inclination angle of an input beam is slightly above the Bragg angle and show that the propagation direction of the emerging gap soliton is influenced by the effect of interband momentum exchange.

© 2004 Optical Society of America

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    [Crossref]
  3. A. A. Sukhorukov and Yu. S. Kivshar, Opt. Lett. 27, 2112 (2002).
    [Crossref]
  4. A. A. Sukhorukov and Yu. S. Kivshar, Opt. Lett. 28, 2345 (2003).
    [Crossref] [PubMed]
  5. D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
    [Crossref]
  6. D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 083905 (2004).
    [Crossref]
  7. A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
    [Crossref]
  8. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 253902 (2003).
    [Crossref]
  9. R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 86, 3296 (2001).
    [Crossref] [PubMed]
  10. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
    [Crossref]

2004 (3)

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[Crossref]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 083905 (2004).
[Crossref]

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[Crossref]

2003 (2)

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 253902 (2003).
[Crossref]

A. A. Sukhorukov and Yu. S. Kivshar, Opt. Lett. 28, 2345 (2003).
[Crossref] [PubMed]

2002 (1)

2001 (1)

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 86, 3296 (2001).
[Crossref] [PubMed]

1999 (1)

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[Crossref]

1998 (1)

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[Crossref]

1988 (1)

Aitchison, J. S.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[Crossref]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 253902 (2003).
[Crossref]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 86, 3296 (2001).
[Crossref] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[Crossref]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[Crossref]

Boyd, A. R.

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[Crossref]

Christodoulides, D. N.

Eisenberg, H. S.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 253902 (2003).
[Crossref]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 86, 3296 (2001).
[Crossref] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[Crossref]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[Crossref]

Hanna, B.

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 083905 (2004).
[Crossref]

Joseph, R. I.

Kivshar, Yu. S.

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[Crossref]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 083905 (2004).
[Crossref]

A. A. Sukhorukov and Yu. S. Kivshar, Opt. Lett. 28, 2345 (2003).
[Crossref] [PubMed]

A. A. Sukhorukov and Yu. S. Kivshar, Opt. Lett. 27, 2112 (2002).
[Crossref]

Krolikowski, W.

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[Crossref]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 083905 (2004).
[Crossref]

Mandelik, D.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[Crossref]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 253902 (2003).
[Crossref]

Morandotti, R.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[Crossref]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 253902 (2003).
[Crossref]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 86, 3296 (2001).
[Crossref] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[Crossref]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[Crossref]

Neshev, D.

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 083905 (2004).
[Crossref]

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[Crossref]

Peschel, U.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[Crossref]

Silberberg, Y.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[Crossref]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 253902 (2003).
[Crossref]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 86, 3296 (2001).
[Crossref] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[Crossref]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[Crossref]

Sorel, M.

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 86, 3296 (2001).
[Crossref] [PubMed]

Sukhorukov, A. A.

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 083905 (2004).
[Crossref]

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[Crossref]

A. A. Sukhorukov and Yu. S. Kivshar, Opt. Lett. 28, 2345 (2003).
[Crossref] [PubMed]

A. A. Sukhorukov and Yu. S. Kivshar, Opt. Lett. 27, 2112 (2002).
[Crossref]

Opt. Lett. (3)

Phys. Rev. Lett. (7)

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[Crossref]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[Crossref]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 083905 (2004).
[Crossref]

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[Crossref]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 253902 (2003).
[Crossref]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 86, 3296 (2001).
[Crossref] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[Crossref]

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Figures (4)

Fig. 1
Fig. 1

(a) Normalized refractive index in a binary waveguide array (gray) and Bloch-wave profiles at the top of first (solid curve) and second (dashed curve) bands. (b), (c) Dispersion of Bloch waves and the Bloch-wave excitation coefficients versus the transverse wave number, for the first (solid curves) and second (dashed curves) bands. The Fourier spectrum of an input Gaussian beam with α=1.2αB and xf=20 µm is shown in (c) by the shading. (d) Characteristic profile of a discrete gap soliton in the binary array.

Fig. 2
Fig. 2

Experimentally measured output intensity distribution versus the inclination angle of the input Gaussian beam with xf=40 µm FWHM. The thin lines indicate the positions of narrow waveguides.

Fig. 3
Fig. 3

Experimentally measured intensity distribution at the output versus the average input power for incident angles (a) 1 and (b) 2 in Fig. 2 and xf=20 µm beam FWHM. 1 mW of average power corresponds to 200 W of peak power.

Fig. 4
Fig. 4

Top, numerically calculated output field intensity versus peak input intensity (I0) for a beam inclination 20% above the Bragg angle, corresponding to Fig. 3(b). (a)–(d) Beam propagation along the binary waveguide array for different input intensities: (a) diffraction in the linear regime (I0=0); (b) formation of a moving discrete gap soliton at I0=0.5; (c), (d) excitation of slow or stationary gap solitons at I0=0.6 and I0=0.7. The dashed lines mark the boundary of the experimental sample.

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