Abstract

We study theoretically and observe experimentally polychromatic gap solitons generated by supercontinuum light in an array of optical waveguides. The solitons are formed through a sharp transition from diffraction-induced broadening and color separation to the simultaneous spatio-spectral localization of supercontinuum light inside the photonic bandgap with the formation of the characteristic staggered phase structure for all colors.

©2008 Optical Society of America

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  1. D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled wave-guides,” Opt. Lett. 13, 794–796 (1988).
    [Crossref] [PubMed]
  2. Yu. S. Kivshar, “Self-localization in arrays of defocusing wave-guides,” Opt. Lett. 18, 1147–1149 (1993).
    [Crossref] [PubMed]
  3. J. Feng, “Alternative scheme for studying gap solitons in an infinite periodic Kerr medium,” Opt. Lett. 18, 1302–1304 (1993).
    [Crossref] [PubMed]
  4. R. F. Nabiev, P. Yeh, and D. Botez, “Spatial gap solitons in periodic nonlinear structures,” Opt. Lett. 18, 1612–1614 (1993).
    [Crossref] [PubMed]
  5. D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424, 817–823 (2003).
    [Crossref] [PubMed]
  6. A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, “Spatial optical solitons in waveguide arrays,” IEEE J. Quantum Electron. 39, 31–50 (2003).
    [Crossref]
  7. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
  8. J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1796 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-6-1780.
    [Crossref] [PubMed]
  9. 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]
  10. R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902–4 (2004).
    [Crossref] [PubMed]
  11. 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), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-11-4314.
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  12. 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), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-1-254.
    [Crossref] [PubMed]
  13. D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904–4 (2004).
    [Crossref] [PubMed]
  14. D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905–4 (2004).
    [Crossref] [PubMed]
  15. K. Motzek, A. A. Sukhorukov, and Yu. S. Kivshar, “Self-trapping of polychromatic light in nonlinear periodic photonic structures,” Opt. Express 14, 9873–9878 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-21-9873.
    [Crossref] [PubMed]
  16. A. A. Sukhorukov, D. N. Neshev, and Yu. S. Kivshar, “Shaping and control of polychromatic light in nonlinear photonic lattices,” Opt. Express 15, 13058–13076 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-20-13058.
    [Crossref] [PubMed]
  17. P. St. J. Russell, “Photonic crystal fibers,” Science 299, 358–362 (2003).
    [Crossref] [PubMed]
  18. J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1184 (2006).
    [Crossref]
  19. A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Yu. S. Kivshar, “Polychromatic nonlinear surface modes generated by supercontinuum light,” Opt. Express 14, 11265–11270 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-23-11265.
    [Crossref] [PubMed]
  20. D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
    [Crossref] [PubMed]
  21. G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science 286, 1518–1523 (1999).
    [Crossref] [PubMed]
  22. M. Mitchell and M. Segev, “Self-trapping of incoherent white light,” Nature 387, 880–883 (1997).
    [Crossref]
  23. G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
    [Crossref] [PubMed]
  24. 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.
  25. 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]
  26. 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]

2007 (2)

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, and Yu. S. Kivshar, “Shaping and control of polychromatic light in nonlinear photonic lattices,” Opt. Express 15, 13058–13076 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-20-13058.
[Crossref] [PubMed]

2006 (5)

2005 (2)

2004 (4)

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902–4 (2004).
[Crossref] [PubMed]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904–4 (2004).
[Crossref] [PubMed]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905–4 (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 (4)

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424, 817–823 (2003).
[Crossref] [PubMed]

A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, “Spatial optical solitons in waveguide arrays,” IEEE J. Quantum Electron. 39, 31–50 (2003).
[Crossref]

P. St. J. Russell, “Photonic crystal fibers,” Science 299, 358–362 (2003).
[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]

1999 (1)

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science 286, 1518–1523 (1999).
[Crossref] [PubMed]

1997 (1)

M. Mitchell and M. Segev, “Self-trapping of incoherent white light,” Nature 387, 880–883 (1997).
[Crossref]

1994 (1)

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

1993 (3)

1988 (1)

Agrawal, G. P.

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).

Aitchison, J. S.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904–4 (2004).
[Crossref] [PubMed]

Austin, M. W.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[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), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-1-254.
[Crossref] [PubMed]

Bartal, G.

Bashaw, M. C.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

Birks, T. A.

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.

Bolger, J.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Yu. S. Kivshar, “Polychromatic nonlinear surface modes generated by supercontinuum light,” Opt. Express 14, 11265–11270 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-23-11265.
[Crossref] [PubMed]

Botez, D.

Bui, L.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[Crossref] [PubMed]

Buljan, H.

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.

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]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424, 817–823 (2003).
[Crossref] [PubMed]

D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled wave-guides,” Opt. Lett. 13, 794–796 (1988).
[Crossref] [PubMed]

Coen, S.

J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1184 (2006).
[Crossref]

Cohen, O.

Crosignani, B.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

Dreischuh, A.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Yu. S. Kivshar, “Polychromatic nonlinear surface modes generated by supercontinuum light,” Opt. Express 14, 11265–11270 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-23-11265.
[Crossref] [PubMed]

Dudley, J. M.

J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1184 (2006).
[Crossref]

Efremidis, N. K.

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1796 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-6-1780.
[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]

Eggleton, B. J.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Yu. S. Kivshar, “Polychromatic nonlinear surface modes generated by supercontinuum light,” Opt. Express 14, 11265–11270 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-23-11265.
[Crossref] [PubMed]

Eisenberg, H. S.

A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, “Spatial optical solitons in waveguide arrays,” IEEE J. Quantum Electron. 39, 31–50 (2003).
[Crossref]

Fejer, M. M.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

Feng, J.

Fischer, R.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Yu. S. Kivshar, “Polychromatic nonlinear surface modes generated by supercontinuum light,” Opt. Express 14, 11265–11270 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-23-11265.
[Crossref] [PubMed]

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]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1796 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-6-1780.
[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]

Freedman, B.

Genty, G.

J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1184 (2006).
[Crossref]

Ha, S.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Yu. S. Kivshar, “Polychromatic nonlinear surface modes generated by supercontinuum light,” Opt. Express 14, 11265–11270 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-23-11265.
[Crossref] [PubMed]

Hanna, B.

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905–4 (2004).
[Crossref] [PubMed]

Iwanow, R.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902–4 (2004).
[Crossref] [PubMed]

Joseph, R. I.

Kip, D.

Kivshar, Yu. S.

A. A. Sukhorukov, D. N. Neshev, and Yu. S. Kivshar, “Shaping and control of polychromatic light in nonlinear photonic lattices,” Opt. Express 15, 13058–13076 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-20-13058.
[Crossref] [PubMed]

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[Crossref] [PubMed]

K. Motzek, A. A. Sukhorukov, and Yu. S. Kivshar, “Self-trapping of polychromatic light in nonlinear periodic photonic structures,” Opt. Express 14, 9873–9878 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-21-9873.
[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), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-1-254.
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Yu. S. Kivshar, “Polychromatic nonlinear surface modes generated by supercontinuum light,” Opt. Express 14, 11265–11270 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-23-11265.
[Crossref] [PubMed]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905–4 (2004).
[Crossref] [PubMed]

A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, “Spatial optical solitons in waveguide arrays,” IEEE J. Quantum Electron. 39, 31–50 (2003).
[Crossref]

Yu. S. Kivshar, “Self-localization in arrays of defocusing wave-guides,” Opt. Lett. 18, 1147–1149 (1993).
[Crossref] [PubMed]

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).

Krolikowski, W.

Lederer, F.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902–4 (2004).
[Crossref] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424, 817–823 (2003).
[Crossref] [PubMed]

Lucas, F. D. Lloyd

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.

Mandelik, D.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904–4 (2004).
[Crossref] [PubMed]

Manela, O.

Matuszewski, M.

Min, Y.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902–4 (2004).
[Crossref] [PubMed]

Mitchell, A.

Mitchell, M.

M. Mitchell and M. Segev, “Self-trapping of incoherent white light,” Nature 387, 880–883 (1997).
[Crossref]

Morandotti, R.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904–4 (2004).
[Crossref] [PubMed]

Motzek, K.

Nabiev, R. F.

Neshev, D.

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905–4 (2004).
[Crossref] [PubMed]

Neshev, D. N.

Pertsch, T.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902–4 (2004).
[Crossref] [PubMed]

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]

Rosberg, C. R.

Runde, D.

Russell, P. St. J.

P. St. J. Russell, “Photonic crystal fibers,” Science 299, 358–362 (2003).
[Crossref] [PubMed]

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.

Ruter, C. E.

Schiek, R.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902–4 (2004).
[Crossref] [PubMed]

Schwartz, T.

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]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1796 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-6-1780.
[Crossref] [PubMed]

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), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-11-4314.
[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]

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science 286, 1518–1523 (1999).
[Crossref] [PubMed]

M. Mitchell and M. Segev, “Self-trapping of incoherent white light,” Nature 387, 880–883 (1997).
[Crossref]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

Shandarov, V.

Silberberg, Y.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904–4 (2004).
[Crossref] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424, 817–823 (2003).
[Crossref] [PubMed]

A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, “Spatial optical solitons in waveguide arrays,” IEEE J. Quantum Electron. 39, 31–50 (2003).
[Crossref]

Sohler, W.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902–4 (2004).
[Crossref] [PubMed]

Soljacic, M.

Stegeman, G. I.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902–4 (2004).
[Crossref] [PubMed]

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science 286, 1518–1523 (1999).
[Crossref] [PubMed]

Stepic, M.

Sukhorukov, A. A.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, and Yu. S. Kivshar, “Shaping and control of polychromatic light in nonlinear photonic lattices,” Opt. Express 15, 13058–13076 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-20-13058.
[Crossref] [PubMed]

K. Motzek, A. A. Sukhorukov, and Yu. S. Kivshar, “Self-trapping of polychromatic light in nonlinear periodic photonic structures,” Opt. Express 14, 9873–9878 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-21-9873.
[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), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-1-254.
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Yu. S. Kivshar, “Polychromatic nonlinear surface modes generated by supercontinuum light,” Opt. Express 14, 11265–11270 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-23-11265.
[Crossref] [PubMed]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905–4 (2004).
[Crossref] [PubMed]

A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, “Spatial optical solitons in waveguide arrays,” IEEE J. Quantum Electron. 39, 31–50 (2003).
[Crossref]

Trippenbach, M.

Valley, G. C.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

Yariv, A.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

Yeh, P.

IEEE J. Quantum Electron. (1)

A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, “Spatial optical solitons in waveguide arrays,” IEEE J. Quantum Electron. 39, 31–50 (2003).
[Crossref]

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

Nature (2)

M. Mitchell and M. Segev, “Self-trapping of incoherent white light,” Nature 387, 880–883 (1997).
[Crossref]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424, 817–823 (2003).
[Crossref] [PubMed]

Opt. Express (6)

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1796 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-6-1780.
[Crossref] [PubMed]

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), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-11-4314.
[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), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-1-254.
[Crossref] [PubMed]

K. Motzek, A. A. Sukhorukov, and Yu. S. Kivshar, “Self-trapping of polychromatic light in nonlinear periodic photonic structures,” Opt. Express 14, 9873–9878 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-21-9873.
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Yu. S. Kivshar, “Polychromatic nonlinear surface modes generated by supercontinuum light,” Opt. Express 14, 11265–11270 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-23-11265.
[Crossref] [PubMed]

A. A. Sukhorukov, D. N. Neshev, and Yu. S. Kivshar, “Shaping and control of polychromatic light in nonlinear photonic lattices,” Opt. Express 15, 13058–13076 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-20-13058.
[Crossref] [PubMed]

Opt. Lett. (4)

Phys. Rev. A (1)

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

Phys. Rev. E (1)

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. (5)

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]

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902–4 (2004).
[Crossref] [PubMed]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904–4 (2004).
[Crossref] [PubMed]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905–4 (2004).
[Crossref] [PubMed]

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–4 (2007).
[Crossref] [PubMed]

Rev. Mod. Phys. (1)

J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1184 (2006).
[Crossref]

Science (2)

P. St. J. Russell, “Photonic crystal fibers,” Science 299, 358–362 (2003).
[Crossref] [PubMed]

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science 286, 1518–1523 (1999).
[Crossref] [PubMed]

Other (2)

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.

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).

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Figures (4)

Fig. 1.
Fig. 1. (a) Schematic of coupling of the supercontinuum to an array of optical waveguides, where different spectral components are redistributed in different waveguides. (b) Measured spectrally resolved output (log scale) from polychromatic discrete diffraction at low average power. (c) Supercontinuum spectrum (red) and measured dispersion of the waveguide coupling length (black). (d) Numerical simulation of linear polychromatic propagation inside the array and spatial separation of colors. (e) Bloch-wave dispersion at 530 nm wavelength. (f) Dependence of photonic bands on wavelength.

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Fig. 2.
Fig. 2. Numerically calculated dependence of the output beam characteristics on the input supercontinuum power: (a) transformation of the output beam profile, and (b) the fraction of output power remaining at the central waveguide for different spectral components.

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Fig. 3.
Fig. 3. Numerically calculated beam evolution for the normalized power P 0≃12. Shown are (a) the beam propagation dynamics inside the array; (b) spectrally resolved output intensity profiles; and (c) output phase profiles of individual spectral components.

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Fig. 4.
Fig. 4. Experimental observation of polychromatic gap soliton: (a–c) Real-color CCD camera images of the output beam intensity profile: (a) Diffraction profile at low power; (b,c) Nonlinear localization and formation of polychromatic gap soliton with increasing supercontinuum power. (d) Spectrally resolved measurements of the profile (c). (e) Inter-ferograms of the output beam profile (c) with a tilted reference supercontinuum beam, imaged at three different wavelengths as indicated by labels.

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