Simple physics of quadratic spatial solitons

Optics Express

Volumn 10, Issue 9, 2002, Pages 388-396

  Assanto, Gaetano ^a   Stegeman, George I ^b  

^a ROMA TRE UNIVERSITY   (Italy)

^b UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION; ELECTRIC EXCITATION; MULTIPHOTON PROCESSES; NONLINEAR OPTICS; PARAMAGNETISM; PHASE SHIFT; QUADRATIC PROGRAMMING; WAVE PROPAGATION;

CASCADING PHASE SHIFT; INTERACTION FORCES; SELF-ACTION EFFECTS; SPATIAL SOLITONS;

SOLITONS;

EID: 0001274011     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OE.10.000388     Document Type: Article

References (23)

1. A. D. Boardman and A. P. Sukhorukov, Soliton Driven Photonics (Kluwer Acad. Publ., Dordrecht, 2001).
2. S. Trillo and W. E. Torruellas, Spatial Solitons (Springer-Verlag, Berlin, 2001).
3. M. Segev and G. Stegeman, "Self-Trapping of Optical Beams: Spatial Solitons," Phys. Today 51, 43-48 (1998).
4. M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically Assisted Self-Confinement and Waveguiding in planar Nematic Liquid Crystal cells", Appl. Phys. Lett. 77, 7-9 (2000).
5. A. W. Snyder, D. J. Mitchell, and Y. S. Kivshar, "Unification of Linear and Nonlinear Wave Optics," Mod. Phys. Lett. B 9, 1479-1506 (1995).
6. G. I. Stegeman and M. Segev, "Optical Solitons and Their Interactions: Universality and Diversity," Sci. 286, 1518-1523 (1999).
7. A. D. Boardman and K. Xie, "Theory of spatial solitons," Radio Science 28, 891-899 (1993).
8. Y. N. Karamzin and A. P. Sukhorukov, "Mutual focusing of high-power light beams in media with quadratic nonlinearity", Sov. Phys.-JETP, 41, 414-416 (1976).
9. K. Hayata and M. Koshiba, "Multidimensional solitons in quadratic nonlinear media," Phys. Rev. Lett. 71, 3275-3278 (1993).
10. A. V. Buryak and Y. S. Kivshar, "Spatial optical solitons governed by quadratic nonlinearity," Opt. Lett. 19, 1612-1614 (1994).
11. (2) cascading," J. Opt. Soc. Am. B 11, 2434-2443 (1994).
12. 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, 1670-1674 (1995).
13. G. I. Stegeman, M. Sheik-Bahae, E. VanStryland, and G. Assanto, "Large nonlinear phase shifts in second-order nonlinear optical processes," Opt. Lett. 18, 13-15 (1993).
14. G. Leo, G. Assanto, and W. E. Torruellas, "Bidimensional spatial solitary waves in quadratically nonlinear bulk media," J. Opt. Soc. Am. B 14, 3134-3142 (1997).
15. G. Assanto, "Diffraction with Second-Harmonic Generation for the formation of self-guided or 'solitary' waves," in Diffractive optics and Optical Microsystems, A. N. Chester and S. Martellucci eds., 65-74 (Plenum Press, New York, 1997).
16. M. J. Werner and P. D. Drummond, "Simulton solutions for the parametric amplifier," J. Opt. Soc. Am. B 10, 2390-2393 (1993).
17. R. A. Fuerst, M. T. G. Canva, G. I. Stegeman, G. Leo, and G. Assanto, "Robust generation, properties, and potential applications of quadratic spatial solitons generated by optical parametric amplification," Opt. & Quantum Electron. 30, 907-921 (1998).
18. A. V. Buryak, Y. S. Kivshar, and S. Trillo, "Stability of tree-wave parametric solitons in diffractive quadratic media," Phys. Rev. Lett. 77, 5210-5213 (1996).
19. D. M. Baboiu and G. I. Stegeman, "Solitary-wave interactions in quadratic media near type I phase-matching conditions," J. Opt. Soc. Am. 14, 3143-3150 (1997).
20. A. V. Buryak and V. V. Steblina, "Soliton collisions in bulk quadratic media: comprehensive analytical and numerical study," J. Opt. Soc. Am. B 16, 245-255 (1999).
21. (2) solitary waves interactions," Opt Lett. 22, 1376-1378 (1997).
22. (2) soliton interactions," Phys. Rev. E 65, 026601-026604 (2002).
23. V. V. Steblina, Y. S. Kivshar, and A. V. Buryak, "Scattering and spiraling of solitons in a bulk quadratic medium," Opt. Lett. 23, 156-158 (1998).