Dynamics of localized and nonlocalized optical vortex solitons in cubic-quintic nonlinear media

V. I. Berezhiani; V. Skarka; N. B. Aleksić

doi:10.1103/PhysRevE.64.057601

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Dynamics of localized and nonlocalized optical vortex solitons in cubic-quintic nonlinear media

V. I. Berezhiani

V. Skarka

N. B. Aleksić

Graduate School of Frontier Sciences, The University of Tokyo, Hongo 7-3-1, Tokyo 113-0033, Japan

Laboratoire POMA, UMR 6136 CNRS, Université d’Angers, 2, Boulevard Lavoisier, 49045 Angers, cedex 1, France

Institute of Physics, Pregrevica 118, 11000 Belgrade, Yugoslavia

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Phys. Rev. E 64, 057601 – Published 18 October, 2001

DOI: https://doi.org/10.1103/PhysRevE.64.057601

Abstract

The nonlinear dynamics of laser beams carrying phase singularity in media with cubic-quintic nonlinearity changing from self-focusing to self-defocusing is examined. A novel kind of stable nonlocalized optical vortices appears in such media as well as localized vortex solitons. Linear stability analysis and numerical simulations show the stability of localized vortices only in the defocusing region.

References (10)

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[c1] G. A. Swartzlander, Jr. and C. Law, Phys. Rev. Lett. 69, 2503 (1992); Yu. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).

[c2] J. Atai, Y. Chen, and J. M. Soto-Crespo, Phys. Rev. A 49, R3170 (1994); V. Tikhonenko, J. Christou, and B. Luther-Davies, J. Opt. Soc. Am. B 12, 2046 (1995); Phys. Rev. Lett. 76, 2698 (1996).

[c3] W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997); D. V. Skryabin and W. J. Firth, Phys. Rev. E 58, 3916 (1998).

[c4] N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, Opt. Lett. 17, 221 (1992); M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).

[c5] V. E. Zakharov, V. V. Sobolev, and V. C. Synakh, Zh. Eksp. Teor. Fiz. 60, 136 (1971) [Sov. Phys. JETP 33, 77 (1971)]; C. Zhou, X. T. He, and S. Chen, Phys. Rev. A 46, 2277 (1992).

[c6] E. C. Josserand and S. Rica, Phys. Rev. Lett. 78, 1215 (1997).

[c7] B. L. Lawrence, et al., Phys. Rev. Lett. 73, 597 (1994); E. M. Wright, B. L. Lawrence, W. Torruellas, and G. Stegeman, Opt. Lett. 20, 2481 (1995); ibid.B. L. Lawrence and G. Stegeman, 23, 591 (1998).

[c8] M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997).

[c9] V. Skarka, V. I. Berezhiani, and R. Miklaszewski, Phys. Rev. E 56, 1081 (1997).

[c10] D. Mihalache, et al., Phys. Rev. E 61, 7142 (2000).

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Dynamics of localized and nonlocalized optical vortex solitons in cubic-quintic nonlinear media

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