Analysis of Quantised Vortex Tangle

Alexander Taylor

Research output: Book/ReportAuthored book


In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexity---including knotting---on the large scale. The work is highly visual, and illustrated with many beautiful diagrams revealing this unanticipated aspect of the physics of waves. Linear superpositions of waves create interference patterns, which means in some places they strengthen one another, while in others they completely cancel each other out. This latter phenomenon occurs on 'vortex lines' in three dimensions. In general wave superpositions modelling e.g. chaotic cavity modes, these vortex lines form dense tangles that have never been visualised on the large scale before, and cannot be analysed mathematically by any known techniques.
Original languageEnglish
Number of pages197
ISBN (Electronic)9783319485560
ISBN (Print)9783319485553
Publication statusPublished - 2017

Publication series

NameSpringer Theses: Recognizing Outstanding Ph.D. Research
ISSN (Print)2190-5053


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