Abstract

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 the underlying physics, outlining the processes that govern their excitation, propagation and collisional interactions.

© 2002 Optical Society of America

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References

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Appl. Phys. Lett. (1)

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]

Diffractive optics and Optical Microsyst (1)

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).

J. Opt. Soc. Am. (1)

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).

J. Opt. Soc. Am. B (4)

Mod. Phys. Lett. B (1)

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]

Opt. Lett. (4)

Opt. Quantum Electron. (1)

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]

Phys. Rev. A (1)

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]

Phys. Rev. E (1)

S. K. Johansen, O. Bang, and M. P. Soerensen, "Escape velocities in bulk �?(2) soliton interactions," Phys. Rev. E 65, 026601-026604 (2002).
[CrossRef]

Phys. Rev. Lett. (2)

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]

K. Hayata and M. Koshiba, "Multidimensional solitons in quadratic nonlinear media," Phys. Rev. Lett. 71, 3275-3278 (1993).
[CrossRef]

Phys. Today (1)

M. Segev and G. Stegeman, �??Self-Trapping of Optical Beams: Spatial Solitons,�?? Phys. Today 51, 43-48 (1998).

Radio Sci. (1)

A. D. Boardman and K. Xie, �??Theory of spatial solitons,�?? Radio Science 28, 891-899 (1993).

Sci. (1)

G. I. Stegeman and M. Segev, �??Optical Solitons and Their Interactions: Universality and Diversity,�?? Sci. 286, 1518-1523 (1999).
[CrossRef]

Sov. Phys.-JETP (1)

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).

Other (2)

A. D. Boardman and A. P. Sukhorukov, Soliton Driven Photonics (Kluwer Acad. Publ., Dordrecht, 2001).

S. Trillo and W. E. Torruellas, Spatial Solitons (Springer-Verlag, Berlin, 2001).

Supplementary Material (2)

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» Media 2: MPG (205 KB)     

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