Spontaneous knotting of self-trapped waves

Anton S. Desyatnikov, Daniel Buccoliero, Mark R. Dennis, Yuri S. Kivshar

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We describe theory and simulations of a spinning optical soliton whose propagation spontaneously excites knotted and linked optical vortices. The nonlinear phase of the self-trapped light beam breaks the wave front into a sequence of optical vortex loops around the soliton, which, through the soliton's orbital angular momentum and spatial twist, tangle on propagation to form links and knots. We anticipate similar spontaneous knot topology to be a universal feature of waves whose phase front is twisted and nonlinearly modulated, including superfluids and trapped matter waves.

Original languageEnglish
Article number771
JournalScientific Reports
Volume2
DOIs
Publication statusPublished - 2012
Externally publishedYes

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Spontaneous knotting of self-trapped waves. / Desyatnikov, Anton S.; Buccoliero, Daniel; Dennis, Mark R.; Kivshar, Yuri S.

In: Scientific Reports, Vol. 2, 771, 2012.

Research output: Contribution to journalArticle

Desyatnikov, Anton S. ; Buccoliero, Daniel ; Dennis, Mark R. ; Kivshar, Yuri S. / Spontaneous knotting of self-trapped waves. In: Scientific Reports. 2012 ; Vol. 2.
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