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  • Vol. 22, Iss. 18 — Sep. 15, 1997
  • pp: 1388–1390

Breathing spatial solitons in non-Kerr media

Vsevolod V. Afanasjev, Pak L. Chu, and Yuri S. Kivshar  »View Author Affiliations


Optics Letters, Vol. 22, Issue 18, pp. 1388-1390 (1997)
http://dx.doi.org/10.1364/OL.22.001388


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Abstract

The concept of soliton internal mode is introduced to explain quantitatively the long-lived oscillations of self-guided beams, or breathing spatial solitons. Cubic–quintic nonlinearity is considered in detail, and it is shown that the existence of the internal mode affects strongly the beam propagation in non-Kerr media, leading to oscillatory dependence of the output width of the beam versus its input power.

© 1997 Optical Society of America

Citation
Vsevolod V. Afanasjev, Pak L. Chu, and Yuri S. Kivshar, "Breathing spatial solitons in non-Kerr media," Opt. Lett. 22, 1388-1390 (1997)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-22-18-1388


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References

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  2. See, e.g., S. Maneuf, R. Dessailly, and C. Froehly, Opt. Commun. 65, 193 (1988) ; W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995); V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).
  3. A. W. Snyder, S. J. Hewlett, and D. J. Mitchell, Phys. Rev. E 51, 6297 (1995).
  4. D. E. Pelinovsky, V. V. Afanasjev, and Yu. S. Kivshar, Phys. Rev. E 53, 1940 (1996).
  5. A. W. Snyder and D. J. Mitchell, Opt. Lett. 22, 16 (1997). Gaussons of the logarithmic NLSE were first predicted by I. Bialynicki-Birula and J. Mycielski, Phys. Scr. 20, 539 (1979).
  6. The concept of internal mode was introduced earlier for kinks, topological solitons of the Klein–Gordon models; e.g., D. K. Campbell, J. F. Schonfeld, and C. A. Wingate, Physica D 9, 1 (1983). It was also used recently to explain oscillations of two-wave c(2) solitary waves; see C. Etrich, U. Peschel, F. Lederer, B. A. Malomed, and Yu. S. Kivshar, Phys. Rev. E 54, 4321 (1996).
  7. R. W. Micallef, V. V. Afanasjev, Yu. S. Kivshar, and J. D. Love, Phys. Rev. E 54, 2936 (1996).
  8. D. J. Kaup, J. Math. Anal. Appl. 54, 849 (1976) ; Phys. Rev. A 42, 5689 (1990).

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