Families of Vortex Solitons in Periodic Media

Details Families of Vortex Solitons in Periodic Media Families of Vortex Solitons in Periodic Media

2008-02-03

arxiv.org/abs/0802.0285v1

Nonlinear Sciences

Pattern Formation and Solitons

To appear in Phys. Rev. A (with higher resolution figures)

Scientific paper

10.1103/PhysRevA.77.033834

Various families of charge-one vortex solitons in two-dimensional periodic media are reported. These vortices reside either in the semi-infinite gap or higher band gaps of the media. For both Kerr and saturable nonlinearities (either focusing or defocusing), infinite vortex families are found. All these families do not bifurcate from Bloch bands; rather, they turn around before reaching edges of Bloch bands. It is further revealed that vortices with drastically different topological shapes can belong to the same vortex family, which is quite surprising.

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