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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 12 — Dec. 1, 2009
  • pp: 2301–2307

Nonlinear vortex modes in dual-core photonic crystal fiber couplers

José Ramón Salgueiro and Francisco Santos  »View Author Affiliations

JOSA B, Vol. 26, Issue 12, pp. 2301-2307 (2009)

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We study the different families of vortex-type modes that can exist in a photonic crystal fiber with two close defects forming a dual-core coupler and presenting the Kerr nonlinearity. Those complex modes bifurcate from the real double-dipole states leading to different states with different phase structures. When power is high enough, single- and double-vortex modes as well as combinations of vortex and fundamental modes arise. Also, families of discrete vortices formed by multipoles located inside the cores are found. We classify the different families, describe their nontrivial bifurcations, and study the stability of the states identifying different scenarios.

© 2009 Optical Society of America

OCIS Codes
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: May 29, 2009
Revised Manuscript: October 5, 2009
Manuscript Accepted: October 11, 2009
Published: November 16, 2009

José Ramón Salgueiro and Francisco Santos, "Nonlinear vortex modes in dual-core photonic crystal fiber couplers," J. Opt. Soc. Am. B 26, 2301-2307 (2009)

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  1. Ph. Russell, “Photonic crystals fibers,” Science 299, 358-562 (2003). [CrossRef] [PubMed]
  2. J. C. Knight, “Photonic crystals fibers,” Nature 424, 847-851 (2003). [CrossRef] [PubMed]
  3. A. Ferrando, E. Silvestre, J. J. Miret, and P. Andrés, “Vector description of higher-order modes in photonic crystal fibers,” J. Opt. Soc. Am. A Opt. Image Sci. Vis. 17, 1333-1340 (2000). [CrossRef] [PubMed]
  4. A. Ferrando, M. Zacarés, and M. A. García-March, “Vorticity cutoff in nonlinear photonic crystals,” Phys. Rev. Lett. 95, 043901 (2005). [CrossRef] [PubMed]
  5. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).
  6. A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47. [CrossRef]
  7. A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, “Spatial soliton formation in photonic crystal fibers,” Opt. Express 11, 452-459 (2003). [CrossRef] [PubMed]
  8. J. R. Salgueiro, Yu. S. Kivshar, D. E. Pelinovski, V. Simón, and H. Michinel, “Spatial vector solitons in nonlinear photonic crystal fibers,” Stud. Appl. Math. 115, 157-171 (2005). [CrossRef]
  9. V. I. Kruglov and R. A. Vlasov, “Spiral self-trapping propagation of optical beams in media with cubic nonlinearity,” Phys. Lett. A 111, 401-404 (1985). [CrossRef]
  10. A. S. Desyatnikov and Yu. S. Kivshar, “Rotating optical soliton clusters,” Phys. Rev. Lett. 88, 053901 (2002). [CrossRef] [PubMed]
  11. Y. V. Kartashov, L. C. Crasovan, D. Mihalache, and L. Torner, “Robust propagation of two-color soliton clusters supported by competing nonlinearities,” Phys. Rev. Lett. 89, 273902 (2002). [CrossRef]
  12. A. Desyatnikov and Yu. Kivshar, “Spatial optical solitons and soliton clusters carrying an angular momentum,” J. Opt. B: Quantum Semiclassical Opt. 4, S58-S64 (2002). [CrossRef]
  13. D. Mihalache, D. Mazilu, L. C. Crasovan, B. A. Malomed, F. Lederer, and L. Torner, “Robust soliton clusters in media with competing cubic and quintic nonlinearities,” Phys. Rev. E 68, 046612 (2003). [CrossRef]
  14. A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, “Vortex solitons in photonic crystal fibers,” Opt. Express 12, 817-822 (2004). [CrossRef] [PubMed]
  15. J. R. Salgueiro and Yu. S. Kivshar, “Optical vortex solitons and soliton clusters in photonic crystal fibres,” Eur. Phys. J. Spec. Top. 173, 281-288 (2009). [CrossRef]
  16. P. Xie, Z. Zhang, and X. Zhang, “Gap solitons and soliton trains in finite-sized two-dimensional periodic and quasi-periodic photonic crystals,” Phys. Rev. E 67, 026607 (2003). [CrossRef]
  17. B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in periodic potentials,” Europhys. Lett. 63, 642-648 (2003). [CrossRef]
  18. J. R. Salgueiro and Yu. S. Kivshar, “Nonlinear dual-core photonic crystal fiber couplers,” Opt. Lett. 30, 1858-1860 (2005). [CrossRef] [PubMed]
  19. A. Gubeskys and B. A. Malomed, “Spontaneous soliton symmetry breaking in two-dimensional coupled Bose-Einstein condensates supported by optical lattices,” Phys. Rev. A 76, 043623 (2007). [CrossRef]
  20. W. N. MacPherson, J. D. C. Jones, B. J. Mangan, J. C. Knight, and P. D. J. Russell, “Two-core photonic crystal fibre for Doppler difference velocimetry,” Opt. Commun. 223, 375-380 (2003). [CrossRef]
  21. A. Betlej, S. Suntsov, K. G. Makris, L. Jankovic, D. N. Christodoulides, G. I. Stegeman, J. Fini, R. T. Bise, and D. J. DiGiovanni, “All-optical switching and multifrequency generation in a dual-core photonic crystal fiber,” Opt. Lett. 31, 1480-1482 (2006). [CrossRef] [PubMed]
  22. J. Yang and D. E. Pelinovsky, “Stable vortex and dipole vector solitons in a saturable nonlinear medium,” Phys. Rev. E 67, 016608 (2003). [CrossRef]
  23. J. R. Salgueiro and Yu. S. Kivshar, “Single- and double-vortex vector solitons in self-focusing nonlinear media,” Phys. Rev. E 70, 056613 (2004). [CrossRef]
  24. A. I. Yakimenko, Y. A. Zaliznyak, and Yu. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005). [CrossRef]
  25. D. Briedis, D. E. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, “Ring vortex solitons in nonlocal nonlinear media,” Opt. Express 13, 435-443 (2005). [CrossRef] [PubMed]
  26. A. A. Minzoni, N. F. Smyth, A. L. Worthy, and Yu. S. Kivshar, “Stabilization of vortex solitons in nonlocal nonlinear media,” Phys. Rev. A 76, 063803 (2007). [CrossRef]
  27. S. Lopez-Aguayo, A. S. Desyatnikov, and Yu. S. Kivshar, “Azimuthons in nonlocal nonlinear media,” Opt. Express 14, 7903-7908 (2006). [CrossRef] [PubMed]
  28. D. Buccoliero, S. López-Aguayo, S. Skupin, A. S. Desyatnikov, O. Bang, W. Krolikowski, and Yu. S. Kivshar, “Spiraling solitons and multipole localized modes in nonlocal nonlinear media,” Physica B 394, 351-356 (2007). [CrossRef]
  29. D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Spiraling multivortex solitons in nonlocal nonlinear media,” Opt. Lett. 33, 198-200 (2008). [CrossRef] [PubMed]
  30. J. R. Salgueiro, D. Olivieri, and H. Michinel, “Computation of linear and nonlinear stationary states of photonic structures using modern iterative solvers,” Opt. Quantum Electron. 39, 239-260 (2007). [CrossRef]
  31. N. N. Akhmediev and A. Ankiewicz, Solitons (Chapman and Hall, 1997).

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