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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 2 — Jan. 22, 2007
  • pp: 589–595

Stable discrete surface light bullets

Dumitru Mihalache, Dumitru Mazilu, Falk Lederer, and Yuri S. Kivshar  »View Author Affiliations


Optics Express, Vol. 15, Issue 2, pp. 589-595 (2007)
http://dx.doi.org/10.1364/OE.15.000589


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Abstract

We analyze spatiotemporal light localization near the edge of a semi-infinite array of weakly coupled nonlinear optical waveguides and demonstrate the existence of a novel class of continuous-discrete spatiotemporal solitons, the so-called discrete surface light bullets. We show that their properties are strongly affected by the presence of the surface. To this end the crossover between surface and quasi-bulk bullets is studied by analyzing the families of solitons propagating at different distances from the edge of the waveguide array.

© 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 Optics

History
Original Manuscript: November 14, 2006
Revised Manuscript: December 28, 2006
Manuscript Accepted: December 29, 2006
Published: January 22, 2007

Citation
Dumitru Mihalache, Dumitru Mazilu, Falk Lederer, and Yuri S. Kivshar, "Stable discrete surface light bullets," Opt. Express 15, 589-595 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-2-589


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References

  1. G. Borstel and H. J. Falge, in Electromagnetic Surface Modes, A. D. Boardman, ed., (Wiley, Chichester, 1982) pp. 219-248.
  2. P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32, 104 - 105 (1978). [CrossRef]
  3. D. Mihalache, M. Bertolotti, and C. Sibilia, "Nonlinear wave propagation in planar structures," Prog. Opt. 27,229 - 313 (1989).
  4. A. D. Boardman, P. Egan, F. Lederer, U. Langbein, and D. Mihalache, "Third-order nonlinear electromagnetic TE and TM guided waves," in: Nonlinear Surface Electromagnetic Phenomena, V. M. Agranovich, A. A. Maradudin, H.-E. Ponath, and G. I. Stegeman, eds., (Elsevier Science Publishers B.V., New York, 1991), pp. 73-287.
  5. W. J. Tomlinson, "Surface wave at a nonlinear interface," Opt. Lett. 5,323-325 (1980). [CrossRef] [PubMed]
  6. V. K. Fedyanin and D. Mihalache, "P-polarized nonlinear surface polaritons in layered structures," Z. Phys. B 47,167 (1982). [CrossRef]
  7. G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, "Nonlinear waves guided by thin films," Appl. Phys. Lett. 44,830-832 (1984). [CrossRef]
  8. N. N. Akhmediev, V. I. Korneyev, and Y. V. Kuzmenko, "Excitation of nonlinear surface-waves by Gaussian light beams," Zh. Eksp. Teor. Fiz. 88,107 (1985).
  9. F. Lederer and D. Mihalache, "An additional kind of nonlinear s-polarized surface plasmon-polaritons," Solid State Commun. 59,151 (1986). [CrossRef]
  10. K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30,2466 - 2668 (2005). [CrossRef] [PubMed]
  11. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Naché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96,063901 (2006). [CrossRef] [PubMed]
  12. Ya. V. Kartashov, V. V. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96,073901 (2006). [CrossRef] [PubMed]
  13. 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," Phys. Rev. Lett. 97, 083901 (2006). [CrossRef] [PubMed]
  14. I. E. Tamm, "A possible kind of electron binding on crystal surfaces," Z. Phys. 76,849-850 (1932). [CrossRef]
  15. Y. Silberberg, "Collapse of optical pulses," Opt. Lett. 15, 1282-1284 (1990). [CrossRef] [PubMed]
  16. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, "Spatiotemporal optical solitons," J. Opt. B: Quantum Semiclassical. Opt. 7,R53 - R72 (2005). [CrossRef]
  17. A. B. Aceves, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, "Multidimensional solitons in fiber arrays," Opt. Lett. 19, 329 - 331 (1994). [CrossRef] [PubMed]
  18. E. W. Laedke, K. H. Spatschek, and S. K. Turitsyn, "Stability of discrete solitons and quasicollapse to intrinsically localized modes," Phys. Rev. Lett. 73,1055 - 1058 (1994). [CrossRef] [PubMed]
  19. A. B. Aceves, G. G. Luther, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, "Energy localization in nonlinear fiber arrays: Collapse-effect compresor," Phys. Rev. Lett. 75,73-76 (1995). [CrossRef] [PubMed]
  20. A. B. Aceves, M. Santagiustina, and C. De Angelis, "Analytical study of nonlinear-optical pulse dynamics in arrays of linearly coupled waveguides," J. Opt. Soc. Am. B 14,1807-1815 (1997). [CrossRef]
  21. Z. Xu, Ya. V. Kartashov, L. C. Crasovan, D. Mihalache, and L. Torner, "Spatiotemporal discrete multicolor solitons," Phys. Rev. E 70,066618 (2004). [CrossRef]
  22. N. C. Panoiu, R. M. Osgood, Jr., and B. A. Malomed, "Semidiscrete composite solitons in arrays of quadratically nonlinear waveguides," Opt. Lett. 31,1097-1099 (2006). [CrossRef] [PubMed]
  23. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals, (Academic Press, San Diego, 2003).
  24. G. Dahlquist and °A. Björk, Numerical Methods, (Prentice Hall, Englewood Cliffs, 1974).
  25. M. I. Molina, R. A. Vicencio, and Yu. S. Kivshar, "Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays," Opt. Lett. 31,1693-1695 (2006). [CrossRef] [PubMed]
  26. J. M. Ortega, and W. C. Rheinboldt, Iterative solution of nonlinear equations in several variables, (Academic Press, New York, 1970), pp. 182.

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