Surface vortex solitons

Optics Express

Volumn 14, Issue 9, 2006, Pages 4049-4057

  Kartashov, Yaroslav V ^a   Egorov, Alexey A ^b   Vysloukh, Victor A ^c   Torner, Lluis ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

^c UNIVERSIDAD DE LAS AMÉRICAS PUEBLA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; OPTICAL LATTICES; OPTICAL MATERIALS; REFRACTIVE INDEX; SOLITONS;

COMPLETE STABILITY; KERR-TYPE NONLINEAR MEDIA; REFRACTIVE INDEX MODULATION; SURFACE VORTICES; TOPOLOGICAL SOLITON; VORTEX CORES; VORTEX SOLITONS;

VORTEX FLOW;

EID: 33751087387     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.14.004049     Document Type: Article

References (45)

1. Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic Press, New York, 2003).
2. A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, in Progress in Optics , vol. 47, pp. 291 (North-Holland, Amsterdam, 2005).
3. D. Briedis, D. E. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, "Ring vortex solitons in nonlocal nonlinear media," Opt. Express 13, 435 (2005).
4. A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, "Stable vortex solitons in nonlocal self-focusing nonlinear media," Phys. Rev. E 71, 065603(R) (2005).
5. C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, "Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons," Phys. Rev. Lett. 95, 213904 (2005).
6. S. Aubry, "Breathers in nonlinear lattices: existence, linear stability and quantization," Physica D 103, 201 (1997).
7. M. Johansson, S. Aubry, Y. B. Gaididei, P. L. Christiansen, and K. O. Rasmussen, "Dynamics of breathers in discrete nonlinear Schrodinger models," Physica D 119, 115 (1998).
8. B. A. Malomed and P. G. Kevrekidis, "Discrete vortex solitons," Phys. Rev. E 64, 026601 (2001).
9. P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, "Stable higher-order vortices and quasivortices in the discrete nonlinear Schrodinger equation," Phys. Rev. E 70, 056612 (2004).
10. J. Yang and Z. Musslimani, "Fundamental and vortex solitons in a two-dimensional optical lattice" Opt. Lett. 28, 2094 (2003).
11. B. B. Baizakov, B. A. Malomed, and M. Salerno, "Multidimensional solitons in periodic potentials," Europhys. Lett. 63, 642 (2003).
12. D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
13. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
14. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced lattices," Phys. Rev. E 66, 046602 (2002).
15. 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 (2003).
16. 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 (2003).
17. D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710 (2003).
18. Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and A. Bezryadina, "Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains," Phys. Rev. Lett. 92, 143902 (2004).
19. E. A. Ostrovskaya and Y. S. Kivshar, "Matter-wave gap vortices in optical lattices," Phys. Rev. Lett. 93, 160405 (2004).
20. O. Manela, O. Cohen, G. Bartal, J. W. Fleischer, and M. Segev, "Two-dimensional higher-band vortex lattice solitons," Opt. Lett. 29, 2049 (2004).
21. R. Carretero-Gonzalez, P. G. Kevrekidis, B. A. Malomed, and D. J. Frantzeskakis, "Three-dimensional nonlinear lattices: from oblique vortices and octupoles to discrete diamonds and vortex cubes," Phys. Rev. Lett. 94, 203901 (2005).
22. T. J. Alexander, E. A. Ostrovskaya, A. A. Sukhorukov, and Y. S. Kivshar, "Three-dimensional matter-wave vortices in optical lattices," Phys. Rev. A 72, 043603 (2005).
23. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Stable ring-profile vortex solitons in Bessel optical lattices," Phys. Rev. Lett. 94, 043902 (2005).
24. Y. V. Kartashov, A. Ferrando, A. A. Egorov, and L. Torner, "Soliton topology versus discrete symmetry in optical lattices," Phys. Rev. Lett. 95, 123902 (2005).
25. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, "Composite vortex-ring solitons in Bessel photonic lattices," J. Opt. Soc. Am. B 22, 1366 (2005).
26. Z. Xu, Y. V. Kartashov, L.-C. Crasovan, D. Mihalache, and L. Torner, "Multicolor vortex solitons in twodimensional photonic lattices," Phys. Rev. E 71, 016616 (2005).
27. A. Ferrando, M. Zacares, P. Fernandez de Cordoba, D. Binosi, J. A. Monsoriu, "Vortex solitons in photonic crystal fibers," Opt. Express. 12, 817 (2004).
28. A. Ferrando, M. Zacares, and M. A. Garcia-March, "Vorticity cutoff in nonlinear photonic crystals," Phys. Rev. Lett. 95, 043901 (2005).
29. T. J. Alexander, A. A. Sukhorukov, and Y. S. Kivshar, "Asymmetric vortex solitons in nonlinear periodic lattices," Phys. Rev. Lett. 93, 063901 (2004).
30. P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-Gonzalez, B. A. Malomed, and A. R. Bishop, "Discrete solitons and vortices on anisotropic lattices," Phys. Rev. E 72, 046613 (2005).
31. Nonlinear waves in solid state physics, Ed. by A. D. Boardman, M. Bertolotti, and T. Twardowski, NATO ASI 247, Plenum Press, New York (1989).
32. Nonlinear surface electromagnetic phenomena, Ed. by H. E. Ponath and G. I. Stegeman, North Holland, Amsterdam (1991).
33. A. A. Maradudin, in Optical and Acoustic Waves in Solids - Modern Topics, M. Borissov Ed., (World Scientific, Singapore, 1983), 72.
34. G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, C. T. Seaton, "Third order nonlinear integrated optics," J. Lightwave Technol. 6, 953 (1988).
35. D. Mihalache, M. Bertolotti, and C. Sibilia, Progr. Opt. 27, 229 (1989).
36. A. E. Kaplan, "Hysteresis reflection and refraction at the nonlinear interface - a new class of effects in nonlinear optics," JETP Lett. 24, 114 (1976).
37. P. W. Smith, J. P. Hermann, W. J. Tomlinson, and P. J. Maloney, "Optical bistability at a nonlinear interface," Appl. Phys. Lett. 35, 846 (1979).
38. M. Cronin Golomb, "Photorefractive surface waves," Opt. Lett. 20, 2075 (1995).
39. P. Yeh, A, Yariv, and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32, 104 (1978).
40. K. G. Makris, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Discrete surface solitons," Opt. Lett. 30, 2466 (2005).
41. J. Hudock, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Vector discrete nonlinear surface waves," Opt. Express 13, 7720 (2005).
42. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96, 073901 (2006).
43. 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 (2006).
44. G. Molina-Terriza, E. M. Wright, L. Torner "Propagation and control of noncanonical optical vortices", Opt. Lett. 26, 163 (2001).
45. G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner, and E. M. Wright, "Observation of the dynamical inversion of the topological charge of an optical vortex," Phys. Rev. Lett. 87, 023902 (2001).