Recurrence and azimuthal-symmetry breaking of a cylindrical Gaussian beam in a saturable self-focusing medium

J. M. Soto-Crespo, E. M. Wright, N. N. Akhmediev

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In this paper we investigate the self-focusing of a Gaussian beam in a saturable nonlinear medium. We show that the dynamics of the incident Gaussian beam become progressively more complicated as the ratio of the Gaussian spot size to that of the ground-state solution is increased for a fixed energy flux. As this ratio is increased (or decreased) from unity, recurrence of the field is observed followed by a mixture of recurrence and azimuthal-symmetry breaking, and finally there is strong azimuthal-symmetry breaking resulting in beam breakup into solitary waves. In this last stage there is no evidence that the field will recur at larger propagation distances.

Original languageEnglish (US)
Pages (from-to)3168-3175
Number of pages8
JournalPhysical Review A
Issue number5
StatePublished - Jan 1 1992


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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