Abstract
We analyze the characteristics of a three-frequency spatial parametric soliton formed by virtue of the cascade frequency tripling in quadratic, periodically poled crystals. A variational approach and a method of averaging are developed, which make it possible to describe analytically, with good accuracy, the characteristics of the spatial solitons studied numerically.
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REFERENCES
S.A. Akhmanov, A. P. Sukhorukov, and R.V. Khokhlov, Soviet Phys. Uspekhi, 10, 609 (1968).
R.Y. Chiao, E. Garmire, and C.H. Townes, Phys. Rev. Lett., 13, 479 (1964).
V.I. Talanov, Izv. Vyssh. Uchebn. Zaved., Radiophys., 7, No. 5, 564 (1964).
Yu.N. Karamzin and A.P. Sukhorukov, Pis'ma Zh. Éksp. Teor. Fiz., 20 734 (1974).
W.E. Torruellas, Z. Wang, D.J. Hagan, E.W. Van Stryland, G.I. Stegeman, L. Torner, and C.R. Menyuk, Phys. Rev. Lett., 74, No. 25, 5036 (1995).
S.C. Rodriguez, J.P. Torres, L. Torner, and M. Fejer, J. Opt. Soc. Am. B, 19, No. 6, 1396 (2002).
C.B. Clausen, O. Bang, and Y.S. Kivshar, Phys. Rev. Lett., 78, No. 25, 4749 (1997).
B. Bourliaguet, V. Couderc, A. Barthelemy, G.W. Ross, P.G.R. Smith, D.C. Hanna, and C. DeAngelis, Opt. Lett., 24, 1410 (1999).
C.B. Clausen, Y.S. Kivshar, O. Bang, and P.L. Christiansen, Phys. Rev. Lett., 83, No. 23, 4740 (1999).
Y.S. Kivshar, T.J. Alexander, and S. Saltiel, Opt. Lett., 24, No. 11, 759 (1999).
I.N. Towers and B.A. Malomed, "Polychromatic solitons in a quadratic medium," Electronic preprint,;http:arxiv.org/pdf/nlin.PS/0208045.
A.S. Chirkin and D.B. Yusupov, Sov. J. Quantum Electron., 12, 1041 (1982).
O. Bang, C.B. Clausen, and P.L. Christiansen, Opt. Lett., 24, No. 20, 1413 (1999).
J.F. Corney and O. Bang, Phys. Rev. E, 64, article No. 047601 (2001).
J.F. Corney, and O. Bang, Phys. Rev. Lett., 87, No. 13, article No. 133901 (2001).
P. DiTrapani, et. al., Phys. Rev. Lett., 87, No. 18, article No. 183902 (2001).
O.A. Egorov and A.P. Sukhorukov, Izv. Rossiisk. Akad. Nauk, Ser. Fiz., 62, 2345 (1998).
S.K. Johansen, S. Carrasco, L. Torner, and O. Bang, Opt. Comm., 203, 393 (2002).
O. Bang, T.B. Graversen, and J.F. Corney, Opt. Lett., 23, No. 7, 506 (1998).
V. Steblina, Y.S. Kivshar, M. Lisak, and B.A. Malomed, Opt. Comm., 118, 345 (1995).
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Lobanov, V.E., Sukhorukov, A.P. Hybrid Parametric Solitons in Nonlinear Photonic Crystals. Radiophysics and Quantum Electronics 46, 366–373 (2003). https://doi.org/10.1023/A:1026363600356
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DOI: https://doi.org/10.1023/A:1026363600356