Abstract

We overview our recent results on spatio-spectral control, diffraction management, broadband switching, and self-trapping of polychromatic light in periodic photonic lattices in the form of rainbow gap solitons, polychromatic surface waves, and multigap color breathers. We show that an interplay of wave scattering from a periodic structure and interaction of multiple colors in media with slow nonlinear response can be used to selectively separate or combine different spectral components. We use an array of optical waveguides fabricated in a LiNbO3 crystal to actively control the output spectrum of the supercontinuum radiation and generate polychromatic gap solitons through a sharp transition from spatial separation of spectral components to the simultaneous spatio-spectral localization of supercontinuum light. We also show that by introducing specially optimized periodic bending of waveguides in the longitudinal direction, one can manage the strength and type of diffraction in an ultra-broad spectral region and, in particular, realize the multicolor Talbot effect.

© 2007 Optical Society of America

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2007 (7)

D. N. Neshev, A. A. Sukhorukov, W. Krolikowski, and Yu. S. Kivshar, "Nonlinear optics and light localization in periodic photonic lattices," J. Nonlinear Opt. Phys. Mater. 16,1-25 (2007).
[CrossRef]

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 (2007), in press.
[CrossRef] [PubMed]

I. L. Garanovich, A. Szameit, A. A. Sukhorukov, T. Pertsch, W. Krolikowski, S. Nolte, D. Neshev, A. Tuennermann, and Yu. S. Kivshar, "Diffraction control in periodically curved two-dimensional waveguide arrays," Opt. Express 15,9737-9747 (2007).
[CrossRef] [PubMed]

M. I. Molina and Yu. S. Kivshar, "Interface localized modes and hybrid lattice solitons in waveguide arrays," Phys. Lett. A 362,280-282 (2007).
[CrossRef]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Ares, C. E. Ruter, and D. Kip, "Optical modes at the interface between two dissimilar discrete meta-materials," Opt. Express 15,4663-4670 (2007).
[CrossRef] [PubMed]

R. Iyer, J. S. Aitchison, J. Wan, M. M. Dignam, and C. M. de Sterke, "Exact dynamic localization in curved AlGaAs optical waveguide arrays," Opt. Express 15,3212-3223 (2007).
[CrossRef] [PubMed]

I. L. Garanovich and A. A. Sukhorukov, "Nonlinear directional coupler for polychromatic light," Opt. Lett. 32,475-477 (2007).
[CrossRef] [PubMed]

2006 (23)

S. Longhi, "Tunneling escape in optical waveguide arrays with a boundary defect," Phys. Rev. E 74,026602-9 (2006).
[CrossRef]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, "Surface lattice solitons," Opt. Lett. 31,2774-2776 (2006).
[CrossRef] [PubMed]

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]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, "Observation of discrete quadratic surface solitons," Opt. Express 14,5508-5516 (2006).
[CrossRef] [PubMed]

E. Smirnov, M. Stepic, C. E. Ruter, D. Kip, and V. Shandarov, "Observation of staggered surface solitary waves in one-dimensional waveguide arrays," Opt. Lett. 31,2338-2340 (2006).
[CrossRef] [PubMed]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Yu. S. Kivshar, "Observation of surface gap solitons in semi-infinite waveguide arrays," Phys. Rev. Lett. 97,083901-4 (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).
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A. Betlej, S. Suntsov, K. G. Makris, L. Jankovic, D. N. Christodoulides, G. I. Stegeman, J. Fini, R. T. Bise, and J. DiGiovanni, "All-optical switching and multifrequency generation in a dual-core photonic crystal fiber," Opt. Lett. 31,1480-1482 (2006).
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Z. Y. Xu, Y. V. Kartashov, and L. Torner, "Gap solitons supported by optical lattices in photorefractive crystals with asymmetric nonlocality," Opt. Lett. 31,2027-2029 (2006).
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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).
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P. Zhang, D. X. Yang, J. L. Zhao, and M. R. Wang, "Photo-written waveguides in iron-doped lithium niobate crystal employing binary optical masks," Opt. Eng. 45,074603-7 (2006).
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A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, "Two-color vector solitons in nonlocal media," Phys. Rev. Lett. 97,153903-4 (2006).
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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).
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K. Motzek, A. A. Sukhorukov, and Yu. S. Kivshar, "Polychromatic interface solitons in nonlinear photonic lattices," Opt. Lett. 31,3125-3127 (2006).
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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).
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I. L. Garanovich, A. A. Sukhorukov, and Yu. S. Kivshar, "Broadband diffraction management and selfcollimation of white light in photonic lattices," Phys. Rev. E 74,066609-4 (2006).
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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).
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A. Szameit, D. Blomer, J. Burghoff, T. Pertsch, S. Nolte, and A. Tunnermann, "Hexagonal waveguide arrays written with fs-laser pulses," Appl. Phys. B 82,507-512 (2006).
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J. M. Dudley, G. Genty, and S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78,1135-1184 (2006).
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A.M. Zheltikov, "Let there be white light: supercontinuum generation by ultrashort laser pulses," Usp. Fiz. Nauk 176,623-649 (2006) (in Russian) [English translation: Phys. Usp. 49, 605-628 (2006)].
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S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96,243901-4 (2006).
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2005 (9)

M. Balu, J. Hales, D. J. Hagan, and E. W. Van Stryland, "Dispersion of nonlinear refraction and two-photon absorption using a white-light continuum Z-scan," Opt. Express 13,3594-3599 (2005).
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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).
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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).
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A. Szameit, D. Blomer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, A. Tunnermann, and F. Lederer, "Discrete nonlinear localization in femtosecond laser written waveguides in fused silica," Opt. Express 13,10552-10557 (2005).
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R. Iwanow, D. A. May Arrioja, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, "Discrete Talbot effect in waveguide arrays," Phys. Rev. Lett. 95,053902-4 (2005).
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A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Optical multiband vector breathers in tunable waveguide arrays," Opt. Lett. 30,174-176 (2005).
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A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Discrete light propagation and self-trapping in liquid crystals," Opt. Express 13,1808-1815 (2005).
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K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30,2466-2468 (2005).
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J. Wan,M. Laforest, C.M. de Sterke, andM.M. Dignam, "Optical filters based on dynamic localization in curved coupled optical waveguides," Opt. Commun. 247,353-365 (2005).
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2004 (4)

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).
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M. H. Qi, E. Lidorikis, P. T. Rakich, S. G. Johnson, J. D. Joannopoulos, E. P. Ippen, and H. I. Smith, "A threedimensional optical photonic crystal with designed point defects," Nature 429,538-542 (2004).
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A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Discrete propagation and spatial solitons in nematic liquid crystals," Opt. Lett. 29,1530-1532 (2004).
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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).
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2003 (7)

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).
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D. Neshev, E. Ostrovskaya, Y. Kivshar, andW. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28,710-712 (2003).
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D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424,817-823 (2003).
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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).
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P. St. J. Russell, "Photonic crystal fibers," Science 299,358-362 (2003).
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D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90,253902-4 (2003).
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G. Lenz, R. Parker, M. C. Wanke, and C. M. de Sterke, "Dynamical localization and AC Bloch oscillations in periodic optical waveguide arrays," Opt. Commun. 218,87-92 (2003).
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2002 (4)

T. Udem, R. Holzwarth, and T. W. Hansch, "Optical frequency metrology," Nature 416,233-237 (2002).
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B. Povazay, K. Bizheva, A. Unterhuber, B. Hermann, H. Sattmann, A. F. Fercher, W. Drexler, A. Apolonski, W. J. Wadsworth, J. C. Knight, P. St. J. Russell, M. Vetterlein, and E. Scherzer, "Submicrometer axial resolution optical coherence tomography," Opt. Lett. 27,1800-1802 (2002).
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A. B. Fedotov, A. N. Naumov, I. Bugar, D. Chorvat, D. A. Sidorov Biryukov, D. Chorvat, and A. M. Zheltikov, "Supercontinuum generation in photonic-molecule modes of microstructure fibers," IEEE J. Sel. Top. Quantum Electron. 8,665-674 (2002).
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A. B. Fedotov, I. Bugar, A. N. Naumov, D. Chorvat, Jr, D. A. Sidorov Biryukov, D. Chorvat, and A.M. Zheltikov, "Light confinement and supercontinuum generation switching in photonic-molecule modes of a microstructure fiber," Pis’ma Zh. ´Eksp.Teor. Fiz. 75,374-378 (2002) (in Russian) [English translation: JETP Lett. 75, 304-308 (2002)].

2001 (2)

2000 (2)

1999 (1)

G. I. Stegeman and M. Segev, "Optical spatial solitons and their interactions: Universality and diversity," Science 286,1518-1523 (1999).
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1998 (2)

D. Kip, "Photorefractive waveguides in oxide crystals: fabrication, properties, and applications," Appl. Phys. B 67,131-150 (1998).
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H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81,3383-3386 (1998).
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1997 (1)

M. Mitchell and M. Segev, "Self-trapping of incoherent white light," Nature 387,880-883 (1997).
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1996 (1)

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, "Incoherently coupled soliton pairs in biased photorefractive crystals," Appl. Phys. Lett. 68,1763-1765 (1996).
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1995 (1)

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).
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1988 (1)

1978 (1)

P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface-waves in periodic layered media," Appl. Phys. Lett. 32,104-105 (1978).
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1977 (1)

1976 (1)

R. R. Shah, D. M. Kim, T. A. Rabson, and F. K. Tittel, "Characterisation of iron-doped lithium niobate for holographic storage applications," J. Appl. Phys. 47,5421-5431 (1976).
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1973 (1)

S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22,46-47 (1973).
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1966 (1)

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, "Opticallyinduced refractive index inhomogeneities in LiNbO3 and LiTaO3," Appl. Phys. Lett. 9,72-74 (1966).
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1965 (1)

1836 (1)

H. F. Talbot, "Facts relating to optical science," Phil. Mag. 9,401-407 (1836).

Ablowitz, M. J.

M. J. Ablowitz and Z. H. Musslimani, "Discrete diffraction managed spatial solitons," Phys. Rev. Lett. 87,254102-4 (2001).
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Aimez, V.

Aitchison, J. S.

R. Iyer, J. S. Aitchison, J. Wan, M. M. Dignam, and C. M. de Sterke, "Exact dynamic localization in curved AlGaAs optical waveguide arrays," Opt. Express 15,3212-3223 (2007).
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D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90,253902-4 (2003).
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H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85,1863-1866 (2000).
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H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81,3383-3386 (1998).
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Alberucci, A.

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, "Two-color vector solitons in nonlocal media," Phys. Rev. Lett. 97,153903-4 (2006).
[CrossRef] [PubMed]

Apolonski, A.

Ares, R.

Ashkin, A.

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, "Opticallyinduced refractive index inhomogeneities in LiNbO3 and LiTaO3," Appl. Phys. Lett. 9,72-74 (1966).
[CrossRef]

Assanto, G.

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 (2007), in press.
[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]

Ballman, A. A.

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, "Opticallyinduced refractive index inhomogeneities in LiNbO3 and LiTaO3," Appl. Phys. Lett. 9,72-74 (1966).
[CrossRef]

Balu, M.

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]

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).
[CrossRef] [PubMed]

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]

Betlej, A.

Bise, R. T.

Bizheva, K.

Blomer, D.

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 (2007), in press.
[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).
[CrossRef] [PubMed]

Boyd, A. R.

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81,3383-3386 (1998).
[CrossRef]

Boyd, G. D.

A. Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Ballman, J. J. Levinstein, and K. Nassau, "Opticallyinduced refractive index inhomogeneities in LiNbO3 and LiTaO3," Appl. Phys. Lett. 9,72-74 (1966).
[CrossRef]

Brzdakiewicz, K. A.

Bugar, I.

A. B. Fedotov, A. N. Naumov, I. Bugar, D. Chorvat, D. A. Sidorov Biryukov, D. Chorvat, and A. M. Zheltikov, "Supercontinuum generation in photonic-molecule modes of microstructure fibers," IEEE J. Sel. Top. Quantum Electron. 8,665-674 (2002).
[CrossRef]

A. B. Fedotov, I. Bugar, A. N. Naumov, D. Chorvat, Jr, D. A. Sidorov Biryukov, D. Chorvat, and A.M. Zheltikov, "Light confinement and supercontinuum generation switching in photonic-molecule modes of a microstructure fiber," Pis’ma Zh. ´Eksp.Teor. Fiz. 75,374-378 (2002) (in Russian) [English translation: JETP Lett. 75, 304-308 (2002)].

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 (2007), in press.
[CrossRef] [PubMed]

Buljan, H.

Burghoff, J.

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]

Carvalho, M. I.

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, "Incoherently coupled soliton pairs in biased photorefractive crystals," Appl. Phys. Lett. 68,1763-1765 (1996).
[CrossRef]

Chen, F.

Cho, A. Y.

P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface-waves in periodic layered media," Appl. Phys. Lett. 32,104-105 (1978).
[CrossRef]

Chorvat, D.

A. B. Fedotov, A. N. Naumov, I. Bugar, D. Chorvat, D. A. Sidorov Biryukov, D. Chorvat, and A. M. Zheltikov, "Supercontinuum generation in photonic-molecule modes of microstructure fibers," IEEE J. Sel. Top. Quantum Electron. 8,665-674 (2002).
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A. B. Fedotov, I. Bugar, A. N. Naumov, D. Chorvat, Jr, D. A. Sidorov Biryukov, D. Chorvat, and A.M. Zheltikov, "Light confinement and supercontinuum generation switching in photonic-molecule modes of a microstructure fiber," Pis’ma Zh. ´Eksp.Teor. Fiz. 75,374-378 (2002) (in Russian) [English translation: JETP Lett. 75, 304-308 (2002)].

A. B. Fedotov, I. Bugar, A. N. Naumov, D. Chorvat, Jr, D. A. Sidorov Biryukov, D. Chorvat, and A.M. Zheltikov, "Light confinement and supercontinuum generation switching in photonic-molecule modes of a microstructure fiber," Pis’ma Zh. ´Eksp.Teor. Fiz. 75,374-378 (2002) (in Russian) [English translation: JETP Lett. 75, 304-308 (2002)].

A. B. Fedotov, A. N. Naumov, I. Bugar, D. Chorvat, D. A. Sidorov Biryukov, D. Chorvat, and A. M. Zheltikov, "Supercontinuum generation in photonic-molecule modes of microstructure fibers," IEEE J. Sel. Top. Quantum Electron. 8,665-674 (2002).
[CrossRef]

Christodoulides, D. N.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Ares, C. E. Ruter, and D. Kip, "Optical modes at the interface between two dissimilar discrete meta-materials," Opt. Express 15,4663-4670 (2007).
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K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, "Surface lattice solitons," Opt. Lett. 31,2774-2776 (2006).
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A. Betlej, S. Suntsov, K. G. Makris, L. Jankovic, D. N. Christodoulides, G. I. Stegeman, J. Fini, R. T. Bise, and J. DiGiovanni, "All-optical switching and multifrequency generation in a dual-core photonic crystal fiber," Opt. Lett. 31,1480-1482 (2006).
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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).
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G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, "Observation of discrete quadratic surface solitons," Opt. Express 14,5508-5516 (2006).
[CrossRef] [PubMed]

R. Iwanow, D. A. May Arrioja, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, "Discrete Talbot effect in waveguide arrays," Phys. Rev. Lett. 95,053902-4 (2005).
[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, 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]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424,817-823 (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]

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, "Incoherently coupled soliton pairs in biased photorefractive crystals," Appl. Phys. Lett. 68,1763-1765 (1996).
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D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled wave-guides," Opt. Lett. 13,794-796 (1988).
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P. Zhang, D. X. Yang, J. L. Zhao, and M. R. Wang, "Photo-written waveguides in iron-doped lithium niobate crystal employing binary optical masks," Opt. Eng. 45,074603-7 (2006).
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A. B. Fedotov, A. N. Naumov, I. Bugar, D. Chorvat, D. A. Sidorov Biryukov, D. Chorvat, and A. M. Zheltikov, "Supercontinuum generation in photonic-molecule modes of microstructure fibers," IEEE J. Sel. Top. Quantum Electron. 8,665-674 (2002).
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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).
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Phys. Rev. Lett. (13)

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Supplementary Material (1)

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Figures (12)

Fig. 1.
Fig. 1.

(a) Schematic of the waveguide array structure (top) and the characteristic transverse refractive index profile (bottom). (b,c) Numerical simulation of polychromatic beam diffraction: (b) real-color image of beam evolution inside the array and (c) the spectrally-resolved output profiles. (d) Bloch-wave dispersion at 530 nm wavelength. (e) Dependence of photonic bands on wavelength. Numerical simulations correspond to the parameters of LiNbO3 waveguide arrays [29,32], discussed below in Sec. 4.2.

Fig. 2.
Fig. 2.

Numerical modeling of nonlinear beam self-trapping and formation of polychromatic gap soliton [29, 32] based on Eqs. (2) with M = 100 and γ = -1: (a) Soliton excitation inside the waveguide array, (b) Propagation constants vs. the wavelength for the soliton beam, dashed and dashed-dotted lines mark the band edges as indicated in Fig. 1(e). (c) Spectrally resolved output intensity profile. (d) The fraction of output power remaining in the central waveguide for different spectral components.

Fig. 3.
Fig. 3.

Example of the numerically calculated polychromatic multigap breather in a photonic lattice with self-focusing nonlinearity (γ = +1 and M = 50). (a) Beam propagation dynamics, and (b) Propagation constants vs. the wavelength, dashed and dashed-dotted lines mark the band edges [29].

Fig. 4.
Fig. 4.

(a) Spectrum of the generated supercontinuum radiation. (b) Schematic of the experiment showing the dispersion of the colors inside the array of optical waveguides [30].

Fig. 5.
Fig. 5.

Spectrally resolved measurements of the beam profiles at the output face of waveguide array (d = 10μm): (a) Polychromatic discrete diffraction at low laser power (0.01 mW), and (b) Nonlinear localization and formation of polychromatic gap soliton at a higher (6 mW) power [29,32]. Movie: Temporal dynamics of the localization process, after the light was injected in the array. [Media 1]

Fig. 6.
Fig. 6.

Spectrally-resolved reflection and transmission of a low-power probe beam (0.01 mW) from an optically-induced defect when the array (d = 19μm) is probed (a) next to the defect; (b) one waveguide away; (c) two waveguides away [30].

Fig. 7.
Fig. 7.

(a) Refractive index profile in waveguide arrays with a surface defect. Dashed line shows, for comparison, the refractive index in an infinite periodic structure. (b) Numerically simulated linear and (c,d) nonlinear dynamics inside the array (bottom) and output spectra (top) for increasing powers of the input beam coupled to the second waveguide [27]. Simulations performed with M = 50 spectral components and defocusing nonlinearity (γ = -1).

Fig. 8.
Fig. 8.

Experimental demonstration of interaction with the surface defect of a supercontinuum polychromatic light beam coupled to the second waveguide. (a,b,d,e) Spectrally resolved spatial distributions at the output facet for increasing power levels. Arrows show the position of the surface waveguide. (c) Real-color output intensity distribution recorded with the CCD camera and schematic plot of the refractive index profile in the waveguide array [27].

Fig. 9.
Fig. 9.

(a) Refractive index profile at the interface of two waveguide arrays. (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 corresponding to 532 nm. (c,d) Individual band-gap spectra for the narrow and wide waveguide arrays, respectively. The total internal-reflection (TIR), first and second Bragg-reflection (BR) gaps are shown by shading [26].

Fig. 10.
Fig. 10.

Example of a polychromatic interface soliton consisting of five components of different wavelengths. Shown are (a) the total intensity and (b-d) amplitude profiles of three spectral components as indicated by labels [26].

Fig. 11.
Fig. 11.

Wavelength-independent diffraction in an optimized periodically curved waveguide array. (a) Waveguide bending profile with the period L = 40mm. (b) Calculated beam evolution inside the waveguide array. (c) Spectrally-resolved output profiles [28].

Fig. 12.
Fig. 12.

(a) Monochromatic Talbot effect in the straight waveguide array: periodic intensity revivals every LT (1) = 16.5mm of propagation for the input pattern {1,0,0,1,0,0,…} and the wavelength λ 0 = 532nm. (b) Disappearance of the Talbot carpet in the straight array when input consists of three components with equal intensities and different wavelengths plotted by different colors λr = 580nm [red], λ0 = 532nm [green], and λb = 490nm [blue]. (c) Multicolor Talbot effect in the optimized structure with wavelength-independent diffraction. Half of the bending period L/2 = LT (2) = 53.2mm is equal to the Talbot distance for the corresponding effective coupling length [28].

Equations (2)

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i A m z + λ m 4 π n 0 ( λ m ) 2 A m x 2 + 2 π λ m Δ n ( x ; λ m ) A m = 0 ,
i A m z + λ m 4 π n 0 ( λ m ) 2 A m x 2 + 2 π λ m [ Δ n ( x ; λ m ) + Δ n nl ( x , z ) ] A m = 0 ,

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