Phys. Rev. A 80, 043812 (2009) [5 pages]Topological charge selection rule for phase singularitiesReceived 3 November 2008; published 14 October 2009 We present a study of the dynamics and decay pattern of phase singularities due to the action of a system with a discrete rotational symmetry of finite order. A topological charge conservation rule is identified. The role played by the underlying symmetry is emphasized. An effective model describing the short range dynamics of the vortex clusters has been designed. A method to engineer any desired configuration of clusters of phase singularities is proposed. Its flexibility to create and control clusters of vortices is discussed. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.043812
DOI:
10.1103/PhysRevA.80.043812
PACS:
42.50.Tx, 42.65.Sf, 03.65.Vf, 02.40.Xx
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