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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 20 — Oct. 1, 2007
  • pp: 13058–13076

Shaping and control of polychromatic light in nonlinear photonic lattices

Andrey A. Sukhorukov, Dragomir N. Neshev, and Yuri S. Kivshar  »View Author Affiliations


Optics Express, Vol. 15, Issue 20, pp. 13058-13076 (2007)
http://dx.doi.org/10.1364/OE.15.013058


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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

OCIS Codes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5940) Nonlinear optics : Self-action effects

ToC Category:
Nonlinear Localization and Filamentation Effects

History
Original Manuscript: July 2, 2007
Revised Manuscript: September 7, 2007
Manuscript Accepted: September 7, 2007
Published: September 26, 2007

Virtual Issues
Focus Serial: Frontiers of Nonlinear Optics (2007) Optics Express

Citation
Andrey A. Sukhorukov, Dragomir N. Neshev, and Yuri S. Kivshar, "Shaping and control of polychromatic light in nonlinear photonic lattices," Opt. Express 15, 13058-13076 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-20-13058


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References

  1. J. K. Ranka, R. S. Windeler, and A. J. Stentz, "Visible continuum generation in air-silica microstructure optical fibers with anomalous dispersion at 800 nm," Opt. Lett. 25,25-27 (2000). [CrossRef]
  2. P. St. J. Russell, "Photonic crystal fibers," Science 299,358-362 (2003). [CrossRef] [PubMed]
  3. J. M. Dudley, G. Genty, and S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78,1135-1184 (2006). [CrossRef]
  4. T. Udem, R. Holzwarth, and T. W. Hansch, "Optical frequency metrology," Nature 416,233-237 (2002). [CrossRef] [PubMed]
  5. 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)]. [CrossRef]
  6. 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). [CrossRef]
  7. 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). [CrossRef] [PubMed]
  8. 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). [CrossRef] [PubMed]
  9. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).
  10. 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]
  11. 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]
  12. 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]
  13. D. Neshev, E. Ostrovskaya, Y. Kivshar, andW. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28,710-712 (2003). [CrossRef] [PubMed]
  14. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424,817-823 (2003). [CrossRef] [PubMed]
  15. 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]
  16. 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). [CrossRef] [PubMed]
  17. 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]
  18. 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]
  19. 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]
  20. 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). [CrossRef] [PubMed]
  21. 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]
  22. 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). [CrossRef]
  23. 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]
  24. 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).
  25. 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). [CrossRef] [PubMed]
  26. K. Motzek, A. A. Sukhorukov, and Yu. S. Kivshar, "Polychromatic interface solitons in nonlinear photonic lattices," Opt. Lett. 31,3125-3127 (2006). [CrossRef] [PubMed]
  27. 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]
  28. 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). [CrossRef]
  29. A. A. Sukhorukov, D. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, "Polychromatic gap solitons and breathers in nonlinear waveguide arrays," In Nonlinear Photonics Topical Meeting, Conference ed. OSA p. JMB5 (Optical Society of America,Washington DC, 2007).
  30. 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]
  31. 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]
  32. A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, W. Krolikowski, J. Bolger, B. J. Eggleton, L. Bui, A. Mitchell, and Yu.S. Kivshar, "Observation of polychromatic gap solitons," submitted for publication (2007).
  33. A. L. Jones, "Coupling of optical fibers and scattering in fibers," J. Opt. Soc. Am. 55,261 (1965). [CrossRef]
  34. 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). [CrossRef]
  35. 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]
  36. P. Yeh, Optical Waves in Layered Media (John Wiley & Sons, New York, 1988).
  37. 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.
  38. 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]
  39. M. Mitchell and M. Segev, "Self-trapping of incoherent white light," Nature 387,880-883 (1997). [CrossRef]
  40. 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]
  41. 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]
  42. 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]
  43. 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)].
  44. 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). [CrossRef] [PubMed]
  45. 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]
  46. 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). [CrossRef] [PubMed]
  47. 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). [CrossRef]
  48. F. Jermann, M. Simon, and E. Kratzig, "Photorefractive properties of congruent and stoichiometric lithium niobate at high light intensities," J. Opt. Soc. Am. B 12,2066-2070 (1995). [CrossRef]
  49. 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]
  50. 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). [CrossRef] [PubMed]
  51. 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). [CrossRef] [PubMed]
  52. 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). [CrossRef] [PubMed]
  53. 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]
  54. D. Kip, "Photorefractive waveguides in oxide crystals: fabrication, properties, and applications," Appl. Phys. B 67,131-150 (1998). [CrossRef]
  55. G. I. Stegeman and M. Segev, "Optical spatial solitons and their interactions: Universality and diversity," Science 286,1518-1523 (1999). [CrossRef] [PubMed]
  56. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
  57. A. Guo, M. Henry, G. J. Salamo, M. Segev, and G. L. Wood, "Fixing multiple waveguides induced by photorefractive solitons: directional couplers and beam splitters," Opt. Lett. 26,1274-1276 (2001). [CrossRef]
  58. 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). [CrossRef]
  59. P. Yeh, A. Yariv, and C. S. Hong, "Electromagnetic propagation in periodic stratified media.1. General theory," J. Opt. Soc. Am. 67,423-438 (1977). [CrossRef]
  60. P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface-waves in periodic layered media," Appl. Phys. Lett. 32,104-105 (1978). [CrossRef]
  61. 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]
  62. S. Longhi, "Tunneling escape in optical waveguide arrays with a boundary defect," Phys. Rev. E 74,026602-9 (2006). [CrossRef]
  63. 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]
  64. 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]
  65. 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]
  66. 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]
  67. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96,073901-4 (2006). [CrossRef] [PubMed]
  68. 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]
  69. 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]
  70. 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]
  71. 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]
  72. Y. V. Kartashov, F. W. Ye, and L. Torner, "Vector mixed-gap surface solitons," Opt. Express 14,4808-4814 (2006). [CrossRef] [PubMed]
  73. M. Born and E. Wolf, Principles of optics: electromagnetic theory of propagation, interference and diffraction of light (Pergamon Press, London, 1959).
  74. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85,1863-1866 (2000). [CrossRef] [PubMed]
  75. M. J. Ablowitz and Z. H. Musslimani, "Discrete diffraction managed spatial solitons," Phys. Rev. Lett. 87,254102-4 (2001). [CrossRef] [PubMed]
  76. 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). [CrossRef]
  77. 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). [CrossRef]
  78. 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). [CrossRef] [PubMed]
  79. 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]
  80. I. L. Garanovich and A. A. Sukhorukov, "Nonlinear directional coupler for polychromatic light," Opt. Lett. 32,475-477 (2007). [CrossRef] [PubMed]
  81. H. F. Talbot, "Facts relating to optical science," Phil. Mag. 9,401-407 (1836).

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