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OverviewIn 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. Full Product DetailsAuthor: Alexander John TaylorPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2017 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 4.498kg ISBN: 9783319485553ISBN 10: 3319485555 Pages: 197 Publication Date: 21 December 2016 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- Numerical Methods.- Geometry and Scaling of Vortex Lines.- Topological Methods.- Knotting and Linking of Vortex Lines.- Conclusions.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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