Vortex evolution in parametric wave mixing

Dmitri V. Petrov, Gabriel Molina-Terriza, Lluis Torner

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)


We investigate the evolution of vortex wave front dislocations in multiple-wave second-harmonic generation processes in quadratic nonlinear media. Vortices nested in finite-size host beams are shown to nucleate and to annihilate in pairs, and to move across the transverse wave front during the beam evolution. A closed-form model that holds under conditions of negligible-depletion of the pump beam is developed to describe the vortex dynamics in order to predict the number of vortices present in the wave fronts of the beams at any instance of the propagation. Results are compared with numerical simulations of the full governing equations and with experimental observations. Limitations of the model are outlined.

Original languageEnglish
Pages (from-to)357-366
Number of pages10
JournalOptics Communications
Issue number4
Publication statusPublished - 15 Apr 1999
Externally publishedYes


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