OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 27, Iss. 11 — Nov. 1, 2010
  • pp: 2224–2230

Two-color solitons in chirped photonic lattices

Jiangbo Zheng, Changming Huang, Shunsheng Zhong, and Liangwei Dong  »View Author Affiliations

JOSA B, Vol. 27, Issue 11, pp. 2224-2230 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (751 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We address the properties of two-color localized nonlinear modes supported by one-dimensional chirped photonic lattices imprinted in quadratic media. The impacts of chirp rate and phase mismatch on the two-color solitons are investigated. Various families of two-color soliton solutions are found. In contrast to the unchirped lattices, chirped lattices can enhance the stability of two-color solitons. Odd solitons can be completely stable provided that the chirp rate exceeds a critical value, even for varying phase mismatches. We also study the excitation, unpacking, and oscillation of two-color solitons in chirped lattices. Our results may enrich the potential applications of two-color solitons in all-optical communications.

© 2010 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: July 27, 2010
Manuscript Accepted: August 19, 2010
Published: October 12, 2010

Jiangbo Zheng, Changming Huang, Shunsheng Zhong, and Liangwei Dong, "Two-color solitons in chirped photonic lattices," J. Opt. Soc. Am. B 27, 2224-2230 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).
  2. A. V. Buryak, P. D. Trapani, D. V. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications,” Phys. Rep. 370, 63–235 (2002). [CrossRef]
  3. G. I. Stegeman, D. J. Hagan, and L. Torner, “χ2 cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996). [CrossRef]
  4. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008). [CrossRef]
  5. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003). [CrossRef] [PubMed]
  6. A. V. Buryak and Y. S. Kivshar, “Spatial optical solitons governed by quadratic nonlinearity,” Opt. Lett. 19, 1612–1614 (1994). [CrossRef] [PubMed]
  7. L. Torner and G. I. Stegeman, “Multicolor solitons,” Opt. Photonics News 12, 36–39 (2001). [CrossRef]
  8. W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995). [CrossRef] [PubMed]
  9. R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138–1141 (1996). [CrossRef]
  10. B. A. Malomed, P. G. Kevrekidis, D. J. Frantzeskakis, H. E. Nistazakis, and A. N. Yannacopoulos, “One-and two-dimensional solitons in second-harmonic-generating lattices,” Phys. Rev. E 65, 056606 (2002). [CrossRef]
  11. Y. V. Kartashov, G. Molina-Terriza, and L. Torner, “Multicolor soliton clusters,” J. Opt. Soc. Am. B 19, 2682–2691 (2002). [CrossRef]
  12. Y. V. Kartashov, A. A. Egorov, A. S. Zelenina, V. A. Vysloukh, and L. Torner, “Stable multicolor periodic-wave arrays,” Phys. Rev. Lett. 92, 033901 (2004). [CrossRef] [PubMed]
  13. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, “Multicolor lattice solitons,” Opt. Lett. 29, 1117–1119 (2004). [CrossRef] [PubMed]
  14. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Packing, unpacking, and steering of multicolor solitons in optical lattices,” Opt. Lett. 29, 1399–1401 (2004). [CrossRef] [PubMed]
  15. 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]
  16. Z. Xu, Y. V. Kartashov, L.-C. Crasovan, D. Mihalache, and L. Torner, “Multicolor vortex solitons in two-dimensional photonic lattices,” Phys. Rev. E 71, 016616 (2005). [CrossRef]
  17. H. Susanto, P. G. Kevrekidis, R. Carretero-González, B. A. Malomed, and D. J. Frantzeskakis, “Mobility of discrete solitons in quadratically nonlinear media,” Phys. Rev. Lett. 99, 214103 (2007). [CrossRef]
  18. Z. Xu and Y. S. Kivshar, “Two-color surface lattice solitons,” Opt. Lett. 33, 2551–2553 (2008). [CrossRef] [PubMed]
  19. M. I. Molina and Y. S. Kivshar, “Two-color surface solitons in two-dimensional quadratic photonic lattices,” J. Opt. Soc. Am. B 26, 1545–1548 (2009). [CrossRef]
  20. Z. Xu, M. I. Molina, and Y. S. Kivshar, “Interface solitons in quadratic nonlinear photonic lattices,” Phys. Rev. A 80, 013817 (2009). [CrossRef]
  21. Z. Xu, “Multipole-mode interface solitons in quadratic nonlinear photonic lattices,” Phys. Rev. A 80, 053827 (2009). [CrossRef]
  22. Z. Xu, “Two-color interface vortex solitons,” Phys. Rev. A 81, 023828 (2010). [CrossRef]
  23. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton control in chirped photonic lattices,” J. Opt. Soc. Am. B 22, 1356–1359 (2005). [CrossRef]
  24. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Dynamics of surface solitons at the edge of chirped optical lattices,” Phys. Rev. A 76, 013831 (2007). [CrossRef]
  25. M. I. Molina, Y. V. Kartashov, L. Torner, and Y. S. Kivshar, “Surface solitons in chirped photonic lattices,” Opt. Lett. 32, 2668–2670 (2007). [CrossRef] [PubMed]
  26. J. Xie, Y. He, and H. Wang, “Surface defect gap solitons in one-dimensional chirped optical lattices,” J. Opt. Soc. Am. B 27, 484–487 (2010). [CrossRef]
  27. G. Yin, J. Zheng, and L. Dong, “Spatial solitons in linearly and nonlinearly amplitude-modulated optical lattices,” Opt. Commun. 283, 583–590 (2010). [CrossRef]
  28. Z. Xu, Y. V. Kartashov, and L. Torner, “Soliton mobility in nonlocal optical lattices,” Phys. Rev. Lett. 95, 113901 (2005). [CrossRef] [PubMed]
  29. L. W. Dong and H. Wang, “Oscillatory behavior of spatial soliton in a gradient refractive index waveguide with nonlocal nonlinearity,” Appl. Phys. B 84, 465–469 (2006). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited