Abstract

We study dynamical reshaping of polychromatic beams due to collective nonlinear self-action of multiple-frequency components in periodic and semi-infinite photonic lattices and predict the formation of polychromatic gap solitons and polychromatic surface solitons due to light localization in spectral gaps. We show that the self-trapping efficiency and structure of emerging polychromatic solitons depend on the input spectrum due to the lattice-enhanced dispersion, including the effect of crossover from localization to diffraction in media with defocusing nonlinearity.

© 2006 Optical Society of America

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  1. P. St. J. Russell, T. A. Birks, and F. D. Lloyd Lucas, "Photonic Bloch waves and photonic band gaps," in Confined Electrons and Photons, E. Burstein and C. Weisbuch, eds., (Plenum, New York, 1995), pp. 585-633.
    [CrossRef]
  2. P. T. Rakich, H. Sotobayashi, J. T. Gopinath, S. G. Johnson, J. W. Sickler, C. W. Wong, J. D. Joannopoulos, and E. P. Ippen, "Nano-scale photonic crystal microcavity characterization with an all-fiber based 1.2-2.0 m supercontinuum," Opt. Express 13,821-825 (2005).
    [CrossRef] [PubMed]
  3. P. Xie and Z. Q. Zhang, "Multifrequency gap solitons in nonlinear photonic crystals," Phys. Rev. Lett. 91,213904 (2003).
    [CrossRef]
  4. K. Motzek, A. A. Sukhorukov, Yu. S. Kivshar, and F. Kaiser, "Polychromatic multigap solitons in nonlinear photonic lattices," In Nonlinear Guided Waves and Their Applications, Postconference ed. OSA p. WD25 (Optical Society of America, Washington DC, 2005).
  5. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66,046602-5 (2002).
    [CrossRef]
  6. J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90,023902-4 (2003).
    [CrossRef] [PubMed]
  7. D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28,710-712 (2003).
    [CrossRef] [PubMed]
  8. F. Chen, M. Stepic, C. E. Ruter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13,4314-4324 (2005).
    [CrossRef] [PubMed]
  9. M. Matuszewski, C. R. Rosberg, D. N. Neshev, A. A. Sukhorukov, A. Mitchell, M. Trippenbach, M. W. Austin, W. Krolikowski, and Yu. S. Kivshar, "Crossover from self-defocusing to discrete trapping in nonlinear waveguide arrays," Opt. Express 14,254-259 (2006).
    [CrossRef] [PubMed]
  10. R. Pezer, H. Buljan, G. Bartal, M. Segev, and J. W. Fleischer, "Incoherent white-light solitons in nonlinear periodic lattices," Phys. Rev. E 73,056608-9 (2006).
    [CrossRef]
  11. M. Mitchell and M. Segev, "Self-trapping of incoherent white light," Nature 387,880-883 (1997).
    [CrossRef]
  12. H. Buljan, T. Schwartz, M. Segev, M. Soljacic, and D. N. Christodoulides, "Polychromatic partially spatially incoherent solitons in a noninstantaneous Kerr nonlinear medium," J. Opt. Soc. Am. B 21,397-404 (2004).
    [CrossRef]
  13. K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30,2466-2468 (2005).
    [CrossRef] [PubMed]
  14. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
    [CrossRef] [PubMed]
  15. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96,073901-4 (2006).
    [CrossRef] [PubMed]
  16. I. L. Garanovich, A. A. Sukhorukov, Yu. S. Kivshar, and M. Molina, "Surface multi-gap vector solitons," Opt. Express 14,4780-4785 (2006).
    [CrossRef] [PubMed]
  17. Y. V. Kartashov, F. W. Ye, and L. Torner, "Vector mixed-gap surface solitons," Opt. Express 14,4808-4814 (2006).
    [CrossRef] [PubMed]
  18. O. Cohen, T. Schwartz, J.W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91,113901-4 (2003).
    [CrossRef] [PubMed]
  19. A. A. Sukhorukov and Yu. S. Kivshar, "Multigap discrete vector solitons," Phys. Rev. Lett. 91,113902-4 (2003).
    [CrossRef] [PubMed]
  20. H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
    [CrossRef] [PubMed]
  21. K. Motzek, A. A. Sukhorukov, F. Kaiser, and Yu. S. Kivshar, "Incoherent multi-gap optical solitons in nonlinear photonic lattices," Opt. Express 13,2916-2923 (2005).
    [CrossRef] [PubMed]
  22. Yu. S. Kivshar, "Self-localization in arrays of defocusing wave-guides," Opt. Lett. 18,1147-1149 (1993).
    [CrossRef] [PubMed]

2006

R. Pezer, H. Buljan, G. Bartal, M. Segev, and J. W. Fleischer, "Incoherent white-light solitons in nonlinear periodic lattices," Phys. Rev. E 73,056608-9 (2006).
[CrossRef]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96,073901-4 (2006).
[CrossRef] [PubMed]

M. Matuszewski, C. R. Rosberg, D. N. Neshev, A. A. Sukhorukov, A. Mitchell, M. Trippenbach, M. W. Austin, W. Krolikowski, and Yu. S. Kivshar, "Crossover from self-defocusing to discrete trapping in nonlinear waveguide arrays," Opt. Express 14,254-259 (2006).
[CrossRef] [PubMed]

I. L. Garanovich, A. A. Sukhorukov, Yu. S. Kivshar, and M. Molina, "Surface multi-gap vector solitons," Opt. Express 14,4780-4785 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, F. W. Ye, and L. Torner, "Vector mixed-gap surface solitons," Opt. Express 14,4808-4814 (2006).
[CrossRef] [PubMed]

2005

2004

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
[CrossRef] [PubMed]

H. Buljan, T. Schwartz, M. Segev, M. Soljacic, and D. N. Christodoulides, "Polychromatic partially spatially incoherent solitons in a noninstantaneous Kerr nonlinear medium," J. Opt. Soc. Am. B 21,397-404 (2004).
[CrossRef]

2003

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90,023902-4 (2003).
[CrossRef] [PubMed]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28,710-712 (2003).
[CrossRef] [PubMed]

O. Cohen, T. Schwartz, J.W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91,113901-4 (2003).
[CrossRef] [PubMed]

A. A. Sukhorukov and Yu. S. Kivshar, "Multigap discrete vector solitons," Phys. Rev. Lett. 91,113902-4 (2003).
[CrossRef] [PubMed]

P. Xie and Z. Q. Zhang, "Multifrequency gap solitons in nonlinear photonic crystals," Phys. Rev. Lett. 91,213904 (2003).
[CrossRef]

2002

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66,046602-5 (2002).
[CrossRef]

1997

M. Mitchell and M. Segev, "Self-trapping of incoherent white light," Nature 387,880-883 (1997).
[CrossRef]

1993

Austin, M. W.

Bartal, G.

R. Pezer, H. Buljan, G. Bartal, M. Segev, and J. W. Fleischer, "Incoherent white-light solitons in nonlinear periodic lattices," Phys. Rev. E 73,056608-9 (2006).
[CrossRef]

Buljan, H.

R. Pezer, H. Buljan, G. Bartal, M. Segev, and J. W. Fleischer, "Incoherent white-light solitons in nonlinear periodic lattices," Phys. Rev. E 73,056608-9 (2006).
[CrossRef]

H. Buljan, T. Schwartz, M. Segev, M. Soljacic, and D. N. Christodoulides, "Polychromatic partially spatially incoherent solitons in a noninstantaneous Kerr nonlinear medium," J. Opt. Soc. Am. B 21,397-404 (2004).
[CrossRef]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
[CrossRef] [PubMed]

Carmon, T.

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90,023902-4 (2003).
[CrossRef] [PubMed]

Chen, F.

Christodoulides, D. N.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30,2466-2468 (2005).
[CrossRef] [PubMed]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
[CrossRef] [PubMed]

H. Buljan, T. Schwartz, M. Segev, M. Soljacic, and D. N. Christodoulides, "Polychromatic partially spatially incoherent solitons in a noninstantaneous Kerr nonlinear medium," J. Opt. Soc. Am. B 21,397-404 (2004).
[CrossRef]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90,023902-4 (2003).
[CrossRef] [PubMed]

O. Cohen, T. Schwartz, J.W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91,113901-4 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66,046602-5 (2002).
[CrossRef]

Cohen, O.

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
[CrossRef] [PubMed]

O. Cohen, T. Schwartz, J.W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91,113901-4 (2003).
[CrossRef] [PubMed]

Efremidis, N. K.

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90,023902-4 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66,046602-5 (2002).
[CrossRef]

Fleischer, J. W.

R. Pezer, H. Buljan, G. Bartal, M. Segev, and J. W. Fleischer, "Incoherent white-light solitons in nonlinear periodic lattices," Phys. Rev. E 73,056608-9 (2006).
[CrossRef]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90,023902-4 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66,046602-5 (2002).
[CrossRef]

Fleischer, J.W.

O. Cohen, T. Schwartz, J.W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91,113901-4 (2003).
[CrossRef] [PubMed]

Garanovich, I. L.

Gopinath, J. T.

Hache, A.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30,2466-2468 (2005).
[CrossRef] [PubMed]

Ippen, E. P.

Joannopoulos, J. D.

Johnson, S. G.

Kaiser, F.

Kartashov, Y. V.

Y. V. Kartashov, F. W. Ye, and L. Torner, "Vector mixed-gap surface solitons," Opt. Express 14,4808-4814 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96,073901-4 (2006).
[CrossRef] [PubMed]

Kip, D.

Kivshar, Y.

Kivshar, Yu. S.

Krolikowski, W.

Makris, K. G.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30,2466-2468 (2005).
[CrossRef] [PubMed]

Manela, O.

Matuszewski, M.

Mitchell, A.

Mitchell, M.

M. Mitchell and M. Segev, "Self-trapping of incoherent white light," Nature 387,880-883 (1997).
[CrossRef]

Molina, M.

Morandotti, R.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

Motzek, K.

Musslimani, Z. H.

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
[CrossRef] [PubMed]

Neshev, D.

Neshev, D. N.

Ostrovskaya, E.

Pezer, R.

R. Pezer, H. Buljan, G. Bartal, M. Segev, and J. W. Fleischer, "Incoherent white-light solitons in nonlinear periodic lattices," Phys. Rev. E 73,056608-9 (2006).
[CrossRef]

Rakich, P. T.

Rosberg, C. R.

Runde, D.

Ruter, C. E.

Salamo, G.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

Schwartz, T.

H. Buljan, T. Schwartz, M. Segev, M. Soljacic, and D. N. Christodoulides, "Polychromatic partially spatially incoherent solitons in a noninstantaneous Kerr nonlinear medium," J. Opt. Soc. Am. B 21,397-404 (2004).
[CrossRef]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
[CrossRef] [PubMed]

O. Cohen, T. Schwartz, J.W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91,113901-4 (2003).
[CrossRef] [PubMed]

Sears, S.

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66,046602-5 (2002).
[CrossRef]

Segev, M.

R. Pezer, H. Buljan, G. Bartal, M. Segev, and J. W. Fleischer, "Incoherent white-light solitons in nonlinear periodic lattices," Phys. Rev. E 73,056608-9 (2006).
[CrossRef]

F. Chen, M. Stepic, C. E. Ruter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13,4314-4324 (2005).
[CrossRef] [PubMed]

H. Buljan, T. Schwartz, M. Segev, M. Soljacic, and D. N. Christodoulides, "Polychromatic partially spatially incoherent solitons in a noninstantaneous Kerr nonlinear medium," J. Opt. Soc. Am. B 21,397-404 (2004).
[CrossRef]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90,023902-4 (2003).
[CrossRef] [PubMed]

O. Cohen, T. Schwartz, J.W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91,113901-4 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66,046602-5 (2002).
[CrossRef]

M. Mitchell and M. Segev, "Self-trapping of incoherent white light," Nature 387,880-883 (1997).
[CrossRef]

Shandarov, V.

Sickler, J. W.

Soljacic, M.

Sorel, M.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

Sotobayashi, H.

Stegeman, G. I.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30,2466-2468 (2005).
[CrossRef] [PubMed]

Stepic, M.

Sukhorukov, A. A.

Suntsov, S.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30,2466-2468 (2005).
[CrossRef] [PubMed]

Torner, L.

Y. V. Kartashov, F. W. Ye, and L. Torner, "Vector mixed-gap surface solitons," Opt. Express 14,4808-4814 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96,073901-4 (2006).
[CrossRef] [PubMed]

Trippenbach, M.

Vysloukh, V. A.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96,073901-4 (2006).
[CrossRef] [PubMed]

Wong, C. W.

Xie, P.

P. Xie and Z. Q. Zhang, "Multifrequency gap solitons in nonlinear photonic crystals," Phys. Rev. Lett. 91,213904 (2003).
[CrossRef]

Yang, H.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

Ye, F. W.

Zhang, Z. Q.

P. Xie and Z. Q. Zhang, "Multifrequency gap solitons in nonlinear photonic crystals," Phys. Rev. Lett. 91,213904 (2003).
[CrossRef]

J. Opt. Soc. Am. B

Nature

M. Mitchell and M. Segev, "Self-trapping of incoherent white light," Nature 387,880-883 (1997).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. E

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66,046602-5 (2002).
[CrossRef]

R. Pezer, H. Buljan, G. Bartal, M. Segev, and J. W. Fleischer, "Incoherent white-light solitons in nonlinear periodic lattices," Phys. Rev. E 73,056608-9 (2006).
[CrossRef]

Phys. Rev. Lett.

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90,023902-4 (2003).
[CrossRef] [PubMed]

P. Xie and Z. Q. Zhang, "Multifrequency gap solitons in nonlinear photonic crystals," Phys. Rev. Lett. 91,213904 (2003).
[CrossRef]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901-4 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96,073901-4 (2006).
[CrossRef] [PubMed]

O. Cohen, T. Schwartz, J.W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91,113901-4 (2003).
[CrossRef] [PubMed]

A. A. Sukhorukov and Yu. S. Kivshar, "Multigap discrete vector solitons," Phys. Rev. Lett. 91,113902-4 (2003).
[CrossRef] [PubMed]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92,223901-4 (2004).
[CrossRef] [PubMed]

Other

P. St. J. Russell, T. A. Birks, and F. D. Lloyd Lucas, "Photonic Bloch waves and photonic band gaps," in Confined Electrons and Photons, E. Burstein and C. Weisbuch, eds., (Plenum, New York, 1995), pp. 585-633.
[CrossRef]

K. Motzek, A. A. Sukhorukov, Yu. S. Kivshar, and F. Kaiser, "Polychromatic multigap solitons in nonlinear photonic lattices," In Nonlinear Guided Waves and Their Applications, Postconference ed. OSA p. WD25 (Optical Society of America, Washington DC, 2005).

Supplementary Material (1)

» Media 1: AVI (2319 KB)     

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Figures (5)

Fig. 1.
Fig. 1.

(a) Refractive index profile for the photonic lattice. (b) Dependence of the bandgap spectrum on the wavelength and (c) diffraction coefficients at the top (red) and bottom (green) of the first band. (d,e) Spatial Bloch-wave dispersion for two wavelengths of 665nm and 443nm, respectively. Transverse Bloch wavevector component k is normalized to K=2π/d. Grey shading in (b,d,e) marks the spectral gaps: semi-infinite gap at the top (for large values of β) and Bragg-reflection gaps (for smaller values of β).

Fig. 2.
Fig. 2.

(a) Linear diffraction of a polychromatic beam; darker shading marks lower intensity; (b–d) Nonlinear self-focusing and generation of a polychromatic gap soliton for I=1.11: (b) total intensity, (c) output power spectrum of self-trapped soliton, and (d) output intensity profiles of individual components for λ=443nm, 532nm, and 665nm.

Fig. 3.
Fig. 3.

(a,c) Fraction of the light trapped by the lattice as a function of wavelength; (b,d) the corresponding evolution of the total intensity profiles for incident light beams with the same input profiles, but different frequency spectra shown in the insets. The peak input intensity is (a,c) the same or (b,d) twice as large compared to Figs. 2(b–d).

Fig. 4.
Fig. 4.

(a) Structure of the waveguide interface, (b) edges of the spectral bands for the narrow waveguide array (green lines) and the wide waveguide array (red lines), and the overlap regions (red, green, and blue) vs. the light frequency scaled to ω 0=2π/532nm.

Fig. 5.
Fig. 5.

Generation of a polychromatic interface soliton composed of nine input components. (a,b) Evolution of the (a) total beam intensity and (b) the blue-most component during a 10cm propagation, (c) fraction of the input light trapped at the two waveguides closest to the interface after the propagation. [Media 1]

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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