A topological charge selection rule for phase singularities

Details A topological charge selection rule for phase singularities A topological charge selection rule for phase singularities

2008-11-05

arxiv.org/abs/0811.0667v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 3 figures

Scientific paper

We present an 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.

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