Topological Properties of Phase Singularities in Wave Fields

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dc.creatorDuan, Yi-Shi
dc.creatorRen, Ji-Rong
dc.creatorZhu, Tao
dc.date2007-04-10
dc.date.accessioned2026-07-07T07:55:54Z
dc.date.available2026-07-07T07:55:54Z
dc.descriptionPhase singularities as topological objects of wave fields appear in a variety of physical, chemical, and biological scenarios. In this paper, by making use of the $ϕ$-mapping topological current theory, we study the topological properties of the phase singularities in two and three dimensional space in details. The topological inner structure of the phase singularities are obtained, and the topological charge of the phase singularities are expressed by the topological numbers: Hopf indices and Brouwer degrees. Furthermore, the topological invariant of the closed and knotted phase singularities in three dimensional space are also discussed in details.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0704.1190
dc.identifierhttp://arxiv.org/abs/0704.1190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127122
dc.subjectGeophysics
dc.subjectGeneral Physics
dc.titleTopological Properties of Phase Singularities in Wave Fields
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