Bidimensional spatial solitary waves in quadratically nonlinear bulk media

Journal of the Optical Society of America B: Optical Physics

Volumn 14, Issue 11, 1997, Pages 3134-3142

  Leo, Giuseppe ^a   Assanto, Gaetano ^a   Torruellas, William E ^b  

^a ROMA TRE UNIVERSITY   (Italy)

^b WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031521822     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.14.003134     Document Type: Article

References (40)

1. W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, 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 (1995).
2. 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 (1996).
3. Y. N. Karamzin and A. P. Sukhorukov, "Mutual focusing of high-power light beams in media with quadratic nonlinearity," Sov. Phys. JETP 41, 414 (1976).
4. R. deSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, and E. W. Van Stryland, "Self-focusing and self-defocusing by cascaded second-order effects in KTP," Opt. Lett. 17, 28 (1992).
5. See, for example, G. I. Stegeman, R. Schiek, L. Torner, W. E. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. W. Van Stryland, D. J. Hagan, and G. Assanto, "Cascading: a promising approach to nonlinear optical phenomena," in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), pp. 49-76.
6. K. Hayata and M. Koshiba, "Multidimensional solitons in quadratic nonlinear media," Phys. Rev. Lett. 71, 3275 (1993).
7. M. J. Werner and P. D. Drummond, "Simulton solutions for the parametric amplifier," J. Opt. Soc. Am. B 10, 2390 (1993); "Strongly coupled nonlinear parametric solitary waves," Opt. Lett. 19, 613 (1994).
8. M. J. Werner and P. D. Drummond, "Simulton solutions for the parametric amplifier," J. Opt. Soc. Am. B 10, 2390 (1993); "Strongly coupled nonlinear parametric solitary waves," Opt. Lett. 19, 613 (1994).
9. P. L. Kelley, "Self-focusing of optical beams," Phys. Rev. Lett. 15, 1005 (1965).
10. (2) cascading," J. Opt. Soc. Am. B 11, 234 (1994).
11. (2) nonlinearities," Opt. Lett. 19, 1615 (1994).
12. L. Torner, C. R. Menyuk, and G. I. Stegeman, "Bright solitons with second-order nonlinearities," J. Opt. Soc. Am. B 12, 889 (1995).
13. L. Torner, D. Mihalache, D. Mazilu, and N. N. Akhmediev, "Stability of spatial solitary waves in quadratic media," Opt. Lett. 20, 2183 (1995).
14. A. V. Buryak and Y. S. Kivshar, "Spatial optical solitons governed by quadratic nonlinearity," Opt. Lett. 19, 1612 (1994).
15. L. Torner, "Stationary solitary waves with second-order nonlinearities," Opt. Commun. 114, 136 (1995).
16. D. E. Pelinovsky, A. V. Buryak, and Y. S. Kivshar, "Instabilities of solitons governed by quadratic nonlinearities," Phys. Rev. Lett. 75, 591 (1995).
17. L. Torner, D. Mazilu, and D. Mihalache, "Walking solitons in quadratic nonlinear media," Phys. Rev. Lett. 77, 2455 (1996).
18. L. Torner, C. R. Menyuk, W. E. Torruellas, and G. I. Stegeman, "Two-dimensional solitons with second-order nonlinearities," Opt. Lett. 20, 13 (1995).
19. L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, "Stationary trapping of light beams in bulk second-order nonlinear media," Opt. Commun. 121, 149 (1995).
20. L. Torner and E. M. Wright, "Soliton excitation and mutual locking of light beams in bulk quadratic nonlinear crystals," J. Opt. Soc. Am. B 13, 864 (1996).
21. A. V. Buryak, Y. S. Kivshar, and V. V. Steblina, "Self-trapping of light beams and parametric solitons in diffractive quadratic media," Phys. Rev. A 52, 1670 (1995).
22. (2) medium: variational approach," Opt. Commun. 118, 345 (1995).
23. L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, "Formation of stable solitons in quadratic nonlinear media," Phys. Rev. A 52, R28 (1995).
24. D.-M. Baboiu, G. I. Stegeman, and L. Torner, "Interaction of one-dimensional bright solitary waves in quadratic media," Opt. Lett. 20, 2282 (1995).
25. C. Etrich, U. Peschel, F. Lederer, and B. Malomed, "Collision of solitary waves in media with a second-order nonlinearity," Phys. Rev. A 52, 3444 (1995).
26. D. Mihalache, F. Lederer, D. Mazilu, and L. C. Crasovan, "Multiple-humped bright solitary waves in second-order nonlinear media," Opt. Eng. 35, 1616 (1996).
27. M. Haelterman, S. Trillo, and P. Ferro, "Higher-order self-guided mode solitary waves in diffractive quadratic media," Opt. Lett. 22, 84 (1997).
28. (2) trapping," Opt. Lett. 20, 1952 (1995).
29. L. Torner, J. P. Torres, and C. R. Menyuk, "Fission and self-deflection of spatial solitons by cascading," Opt. Lett. 21, 462 (1996).
30. C. Etrich, U. Peschel, F. Lederer, B. A. Malomed, and Y. S. Kivshar, "Origin of the persistent oscillations of solitary waves in nonlinear quadratic media," Phys. Rev. E 54, 4321 (1996).
31. W. E. Torruellas, Z. Wang, L. Torner, and G. I. Stegeman, "Observation of mutual trapping and dragging of two-dimensional spatial solitary waves in a quadratic medium," Opt. Lett. 20, 1949 (1995).
32. W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, "All-optical switching by spatial walk-off compensation and solitary-wave locking," Appl. Phys. Lett. 68, 1449 (1996).
33. R. A. Fuerst, B. L. Lawrence, W. E. Torruellas, and G. I. Stegeman, "Beam reshaping by use of spatial solitons in the quadratic nonlinear medium KTP," Opt. Lett. 22, 19 (1997).
34. G. Leo, G. Assanto, and W. E. Torruellas, "Beam pointing control with spatial solitary waves in quadratic nonlinear media," Opt. Commun. 134, 223 (1997).
35. G. Leo, G. Assanto, and W. E. Torruellas, "Intensity controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media," Opt. Lett. 22, 7 (1997).
36. R. Mollame, S. Trillo, and G. Assanto, "Polarization controlled soliton switching in type II second-harmonic generation," Opt. Lett. 21, 1969 (1996).
37. H. T. Tran, "Self-induced phase matching and three-wave bright spatial solitons in quadratic media," Opt. Commun. 118, 581 (1995).
38. B. A. Malomed, D. Anderson, and M. Lisak, "Three-wave interaction solitons in a dispersive medium with quadratic nonlinearity," Opt. Commun. 126, 251 (1996).
39. A. V. Buryak, Y. S. Kivshar, and S. Trillo, "Stability of three-wave parametric solitons in diffractive quadratic media," Phys. Rev. Lett. 77, 5210 (1996).
40. G. Leo and G. Assanto, "Multiple branching of vectorial spatial solitary waves in quadratic media," Opt. Commun. (to be published).