Stable counter-rotating vortex pairs in saturable media

Anton S. Desyatnikov*, Dumitru Mihalache, Dumitru Mazilu, Boris A. Malomed, Falk Lederer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We resolve a controversial issue of the stability of composite vortex solitons in self-focusing saturable nonlinear media. Stable vortex solitons with hidden angular momentum, i.e., composed of counter-rotating beams with topological charges +1 and -1, are found, and their linear-stability region is identified. In contrast, the solitons with explicit vorticity are always unstable against splitting. The predicted linear stability of the hidden-vorticity solitons is achieved in the strong-saturation regime, when the soliton's total power exceeds a certain threshold. The dynamical stability is verified in direct simulations of nonlinear model.

Original languageEnglish
Pages (from-to)231-234
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number3-4
StatePublished - 30 Apr 2007


  • Optical angular momentum
  • Optical vortex
  • Phase dislocation
  • Spatial soliton


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