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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 10, Iss. 9 — May. 6, 2002
  • pp: 388–396

Simple physics of quadratic spatial solitons

Gaetano Assanto and George I. Stegeman  »View Author Affiliations

Optics Express, Vol. 10, Issue 9, pp. 388-396 (2002)

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Spatial solitons in quadratically nonlinear media result from the interplay of parametric gain, diffraction and cascading phase shift. Their main features are well understood in mathematical terms, and several experiments have been successfully carried out which demonstrate their observability and most important properties. Here we provide an intuitive interpretation of some of the underlying physics, outlining the processes that govern their excitation, propagation and interaction forces.

© 2002 Optical Society of America

OCIS Codes
(190.4180) Nonlinear optics : Multiphoton processes
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5940) Nonlinear optics : Self-action effects

ToC Category:
Research Papers

Original Manuscript: March 12, 2002
Revised Manuscript: April 18, 2002
Published: May 6, 2002

Gaetano Assanto and George Stegeman, "Simple physics of quadratic spatial solitons," Opt. Express 10, 388-396 (2002)

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  1. A. D. Boardman and A. P. Sukhorukov, Soliton Driven Photonics (Kluwer Acad. Publ., Dordrecht, 2001). [CrossRef]
  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). [CrossRef]
  4. M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically Assisted Self-Confinement andWaveguiding in planar Nematic Liquid Crystal cells", Appl. Phys. Lett. 77, 7-9 (2000). [CrossRef]
  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). [CrossRef]
  6. G. I. Stegeman and M. Segev, �??Optical Solitons and Their Interactions: Universality and Diversity,�?? Sci. 286, 1518-1523 (1999). [CrossRef]
  7. A. D. Boardman and K. Xie, �??Theory of spatial solitons,�?? Radio Science 28, 891-899 (1993). [CrossRef]
  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). [CrossRef] [PubMed]
  10. A. V. Buryak and Y. S. Kivshar, "Spatial optical solitons governed by quadratic nonlinearity," Opt. Lett. 19, 1612-1614 (1994). [CrossRef] [PubMed]
  11. C.R. Menyuk, R. Schiek, and L. Torner, "Solitary waves due to �?(2) :�?(2) cascading," J. Opt. Soc. Am. B 11, 2434-2443 (1994). [CrossRef]
  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). [CrossRef] [PubMed]
  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). [CrossRef] [PubMed]
  14. G. Leo, G. Assanto, andW. E. Torruellas, "Bidimensional spatial solitary waves in quadratically nonlinear bulk media," J. Opt. Soc. Am. B 14, 3134-3142 (1997). [CrossRef]
  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). [CrossRef]
  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). [CrossRef]
  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). [CrossRef] [PubMed]
  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). [CrossRef]
  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). [CrossRef]
  21. B. Costantini, C. De Angelis, A. Barthelemy, A. Laureti Palma, and G. Assanto, "Polarization multiplexed �?(2)solitary waves interactions," Opt. Lett. 22, 1376-1378 (1997). [CrossRef]
  22. S. K. Johansen, O. Bang, and M. P. Soerensen, "Escape velocities in bulk �?(2) soliton interactions," Phys. Rev. E 65, 026601-026604 (2002). [CrossRef]
  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). [CrossRef]

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