Families of vortex solitons in periodic media

2008/02/03 by Jiandong Wang, Jianke Yang · 2 citations
Computer Science · Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #nlin.PS

paper · pdf · doi:10.1103/physreva.77.033834

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

arxiv created 2008/02/03 · openalex publication_date 2008/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Various families of charge-1 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 the edges of the Bloch bands. It is further revealed that vortices with drastically different topological shapes can belong to the same vortex family, which is quite surprising.

Citations

• Bifurcations and stability of gap solitons in periodic potentials
• Universally‐Convergent Squared‐Operator Iteration Methods for Solitary Waves in General Nonlinear Wave Equations
• Asymmetric Vortex Solitons in Nonlinear Periodic Lattices

Cited by

• Solitons supported by localized nonlinearities in periodic media
• Security analysis of the decoy method with the Bennett–Brassard 1984 protocol for finite key lengths

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