Vortex nucleation and evolution in parametric wave mixing

Gabriel Molina-Terriza*, Lluis Torner

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review


We predict a variety of new phenomena, that includes the spontaneous nucleation of multiple vortex twins, vortex rotation and drift, vortex-antivortex interaction and annihilation, and formation of quasi-aligned patterns of single-charge vortices. We consider cw light propagation in a bulk quadratic nonlinear crystal under conditions for type I second-harmonic generation. We restrict ourselves to up-conversion geometries with material and light conditions that yield negligible depletion of the pump fundamental frequency (FF) beam. Then, the second-harmonic (SH) beam is dictated by an inhomogeneous linear partial differential equation whose general solution can be obtained by means of the Green function approach. In the case of un-seeded geometries (i.e., no SH input light), and in absence of Poynting vector walk-off between the FF and SH beams, sum- and difference-charge arithmetic operations have been predicted and observed experimentally. However, a new range of phenomena is discovered in seeded geometries and with Poynting vector walk-off. In particular, in the case of seeded schemes without walk-off, our numerical and experimental investigations show the spontaneous nucleation of multiple-vortex twins. In such case, the number of vortices present in the SH beam and its total topological charge varies with the propagation distance inside the crystal.
Original languageEnglish
Title of host publicationIEEE Lasers and Electro-Optics Society 12th Annual Meeting, LEOS '99
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages2
ISBN (Print)0780356349
Publication statusPublished - 1999
Externally publishedYes
Event12th Annual Meeting of the IEEE Lasers and Electro-Optics Society 1999 - San Francisco, United States
Duration: 8 Nov 199911 Nov 1999
Conference number: 12

Publication series

NameProceedings - Lasers adn Electro-Optics Society Annual Meeting
ISSN (Print)1092-8081


Conference12th Annual Meeting of the IEEE Lasers and Electro-Optics Society 1999
Abbreviated titleLEOS '99
Country/TerritoryUnited States
CitySan Francisco


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