Vortex flowers

Isaac Freund

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Methods are described for generating vortices that are exact solutions of the paraxial wave equation that have arbitrary Poincaré-Hopf indices (positive, negative, or zero), and arbitrary topological charges (winding numbers). Vortices with indices greater than 1 are decorated with phase "petals", and take the form of vortex flowers. Instructions are provided for sowing flower gardens, and decay modes under propagation of flowers implanted in Gaussian laser beams are studied.

Original languageEnglish
Pages (from-to)63-76
Number of pages14
JournalOptics Communications
Issue number1-6
StatePublished - 1 Sep 2001


  • Phase singularities
  • Poincaré-Hopf indices
  • Vortices


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