Discrete-symmetry vortices as angular Bloch modes

Albert Ferrando

doi:10.1103/physreve.72.036612

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arXiv · nlin/0411059

Discrete-symmetry vortices as angular Bloch modes

Albert Ferrando

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Abstract

The most general form for symmetric modes of nonlinear discrete-symmetry systems with nonlinearity depending on the modulus of the field is presented. Vortex solutions are demonstrated to behave as Bloch modes characterized by an angular Bloch momentum associated to a periodic variable, periodicity being fixed by the order of discrete point-symmetry of the system. The concept of angular Bloch momentum is thus introduced to generalize the usual definition of angular momentum to cases where O(2) -symmetry no longer holds. The conservation of angular Bloch momentum during propagation is demonstrated.

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Albert Ferrando. 2004-11-29. Discrete-symmetry vortices as angular Bloch modes. https://doi.org/10.1103/physreve.72.036612

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